Text

Enclosure 14 O LR-N17-0044 and LAR H17-03 - Calculation SC-BB-0525, Hope Creek Heat Balance Uncertainty Calculation, Revision 5
	ML17188A269
Person / Time
Site:	Salem, Hope Creek
Issue date:	03/16/2017
From:	Mark Miller; Public Service Enterprise Group
To:	; Office of Nuclear Reactor Regulation
Shared Package
ML17188A259	List: LR-N17-0044, Enclosure 10 to LR-N17-0044 and LAR H17-03 - Cameron Document ER-1123NP, Bounding Uncertainty Analysis for Thermal Power Determination at Hope Creek, Unit 1 Nuclear Generating Station Using the LEFM System, Revision 2 (Non-Proprietary Ve; LR-N17-0044, Enclosure 12 to LR-N17-0044 and LAR H17-03 - Cameron Document ER-1132NP, Meter Factor Calculation and Accuracy Assessment for Hope Creek Nuclear Generating Station, Revision 2, (Non-Proprietary Version); LR-N17-0044, Enclosure 13 of LR-N17-0044 and LAR H17-03 - Affidavits from Cameron International Corporation Supporting the Withholding of Information in Enclosures 9 and 11 from Public Disclosure; LR-N17-0044, Enclosure 14 O LR-N17-0044 and LAR H17-03 - Calculation SC-BB-0525, Hope Creek Heat Balance Uncertainty Calculation, Revision 5; LR-N17-0044, Enclosure 15 to LR-N17-0044 and LAR H17-03 - LEFM Flow Meter Installation Location Drawings; LR-N17-0044, Enclosure 7 to LR-N17-0044 and LAR H17-03 - Affidavits from GEH and the Electric Power Research Institute (EPRI) Supporting the Withholding of Information in Enclosure 6 from Public Disclosure; LR-N17-0044, Hope Creek - License Amendment Request for Measurement Uncertainty Recapture (Mur) Power Uprate; ML17188A260; ML17188A262; ML17188A265; ML17188A267; ML17188A268; ML17188A269;
References
	LA H17-03, LR-N17-0044 CC-AA-309-1001-F1, Rev. 0, SC-BB-0525, Rev. 5
	Download: ML17188A269 (191)
	v • d • e

LR-N17-0044 LAR H17-03 4

Calculation SC-BB-0525, Hope Creek Heat Balance Uncertainty Calculation, Revision 5

CCDAAE309F1001GFl Revision 0 Page I of I esign nalySJS a.lor D

A I

' M ' R CVlSIOil c over s hcet Design Analysis (Major Revision)

I Last Page No.6 Attachment 8 page 1 Analysis No.: 1

Title:

3 DCP No(s)./

Revision: 4 Station(s): 7 Unit No.: 8 Discipline: 9 Safety/QA Class:

11 System Code: 12 Structure: 13 Document No.:

SC-AE**0540 SC-BB-0355 SC-BF-0511 SC-BG-0515 SC-BB-0525 Revision: 2 5

Hope Creel< Heat Balance Uncertainty Calculation 80116312 AD No(s)./.

150 RO Revision: 6 RO Hope Creek Component(s): 14 1

I Important to Safety 88 CONTROLLED DESIGN INPUTS AND OUTPUTS 15 From/To Document No.:

From SC-AE-0541 From SC-BG-0516 From SC-BB-0526 From 432792 Sheet 001 From/To From From From From Is this Design Analysis Safeguards Information? 16 Yes D No If yes, see SY-AA-1 01-106 Does this Design Analysis contain Unverified Assumptions? 17 Yes D No If yes, Order#:

This Design Analysis SUPERCEDES: 18 4

Description of Revision (list affected pages for partials):

in Its entirety.

This revision is to increase the thermal power level from 3840 to 3902 in response to the MUR uprate per Appendix K.

Attachments have been added for the various mode of operation of the LEFM. The attachments have been reordered as follows: is now the Heat Balance Calculation with a Normally Operating LEFM is the Heat Balance Calculation with a LEFM in Maintenance Mode (new attachment) is the Heat Balance Calculation without Taking Credit for the Operation of the LEFM is the FFWfR Heat Balance Calculation with a Normally Operating LEFM (new attachment) is the FFWfR Heat Balance Calculation with a LEFM In Maintenance Mode (new attachment) is the FFWfR Heat Balance Calculation without Taking Credit for the Operation of the LEFM (previously attachment 4} is the General Electric Reactor Heat Balance Power Up rate (previously attachment 2) is the General Electric Reactor Heat Balance For Final Feedwater Temperature Reduction Operation (previously attachment 5)

Note that the revision bars in tr1e attachments identify the content change from the previous attachment and does not identify the formatting changes with the rearrangement of the calculation.

Pre parer: 2' Michael Miller (S&L)

.. _;;;:' [Z.

Print Name 1gn Name

/!t//2 Date Method of Review: '1 Detailed Review 0 Altern:*dJO Testing D: /,

Reviewer: "

John Wilkens (S&L}

z/_lj_oaJ1 Print Nama Review Notes:,

Independent review 0 P er rev1 w D Performed detailed line-by-line review.

(For External Analyses Only}

t? UAsibE:'J C:.%

External Approver:"

hi Name PSEG Reviewer:

S. Baa_M a"""

Prinl ame Independent 3'ct Party Review Reqd? 26 Yes 0 tllccJ.ka_

PSEG Approver: "

SbrJ,vJc)

Print Name

'??'.

.

Sin ame No

JL V\\..-

Sl n me jj,,

s /;cs h?

Data

slt7lrl O7ta

<f/!7}'7 Dale

PSEG Salem and Hope Page 18 of 19 Nuclear LLC Creek Common LEVEL 3-INFORMATIONAL USE CC-AA-309 Rev:

11 CONTROL OF DESIGN ANALYSES, General Review Questions DESiGN ANALYSIS NO.

SC-BB-0525 REV:

5 Yes No N/A

1.

Does the Design Analysis conform to design requirements?

IZI 0

D

2.

Does the Design Analysis conform to applicable codes, standards, and regulatory IZI D

D requirements?

3, Have applicable design and safety limits been identified?

IZI D

D

4.

Is the analysis method appropriate?

IZI D

D

5.

Are the methods used*and recommendations given conservative relative to the design IZI D

D and safety limits?

6.

Are assumptions/Engineering Judgments explained and appropria:te?

IZI D

D

7.

Have appropriately verified Computer Program and versions been identified, when D

D 0

applicable?

8.

Does the Computer Program conform with the NRC SER or similar document when D

D 0

pp!icable?

9.

Has the input been correctly incorporated into the Design Analysis?

IZI D

D

10.

Has the input been reviewed by all cognizant design authorities?

IZI D

D

11.

Are the analysis outputs and conclusions reasonable compared to the inputs and IZI D

D assumptions?

12.

Are the recommendations/results/conclusions reasonable based on previous IZI D

D experience?

13.

Has a verification of the Design Analysis been performed by alternate methods?

D D

0

14.

Has all input data been used cmrectly and is it traceable?

IZI D

D

15.

Has the effect on plant drawings, procedures, databases, and/or plant simulator been IZI D

D addressed?

16.

Has the effect on other systems been addressed?

IZI D

D

17.

Have any changes in other controlled doctnnents (e.g. UFSAR, Technical IZI D

D Specifications, Core Operating Limits Report (COLR), etc.) been identified and tracked?

18.

When applicable, are the analysis results consistent with the proposed license IZI D

D amendment?

19.

Have other documents that have used the calculation as input been reviewed and IZI D

D revised as appropriate?

20.

Have all affected design analyses been documented on the Affected Documents List IZI D

D (ADL) for the associated Configuration Change?

21.

Do the sources of inputs and analysis methodology u.sed meet current technical IZI D

D requirements and regulatory commitments? (If the input sources or analysis methodology are based on an out-of-date methodology or code, additional reconciliation may be required if the site has since committed to a more recent code)

22.

Have supporting technical documents and references been reviewed when necessary?

D D

Page 1 of 1

0 I>SJili:i 0

P Rtd 11 14.7

_;:!*:::.,J P+err 1114.7 0

r h Rtd Flow+err 47.3324 524.83 147,404 I

Uncertainty I

RWCUFa -616.3 lb/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 15 16 DATE:

N/A 1Rev 5 1Rev 5

'Rev 5 jRev 5 Rev 5 1Rev 5

!Rev 5

(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)

CALCULATION CONTINUATION SHEET CALC NO.:

SC-BB-0525 Attachment 1 REV:

5 REF:

ORIGINATOR:

DATE:

REVIEWER:

DATE:

Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight deviation (RWCUPMA)

This error is the combination of several uncertainties calculated below:

7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac Lookup Tables Error (RWCUPMA1)

VERIFIER:

N/A

The Numac performs the fluid specific weight determination with an error of 0.1 specific weight, this effect in the flow is calculated below.
I r = Fluid Specific Weight Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err 1 r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA1 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated CRtd P Rtd 1.0000 0.00%
1.0087 1.0045 C+err 1.0000 0
P+err DP Rtd K = 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1114.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated hout = 524.83 btu/lb Fa Rtd 245.3520 1.0087 0.00%
500 GPM 388.8 GPM Fa+err r
INumacerr I r+perr+Numac 1*
h Rtd 1.0087 (Note)
T Rtd l
Flow SHEET:
CONTD ON SHEET:
530.7 J
DATE:
NJA 1Rev 5 1Rev 5 1Rev 5 jRev 5 I
1114.7 1114.7psi 47.3321 '
' ; ' 0:11 47.4321 524.831 148,177 I jRev 5 I::::E!
0 psi I
Uncertainty l
RWCUPMA1 = 156.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 16 17
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error (RWCUPMA2)
The Numac computer introduces a 0. 75 factor to the input pressure raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA2 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd P Rtd r = Fluid Specific Weight 1.0000 0.00% 1! ":*""1 1.0087 1.0045 C+err 1.0000 0 P+err DP Rtd K= 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1114.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated = 524.83 btu/lb DP+err Fa Rtd I
245.3520 245.3520 1.00871 0.00% 1::,:!.; ;.. '1 0
T Sat r+perr INumac rerr I
500 GPM 388.8 GPM Fa+err I
1.00871 r+perr+Numac I (Note)
T Rtd h Rtdout SHEET:
17 CONTD O N SHEET:
18 DATE:
N/A
_,Rev 5 1Rev 5 Rev 5 I
530.71 1Rev 5 I h Rtd return I Flow I
1114.7 840 psi 523.8 47.5905J OJ 47.5905j 524.831 412.641 148,4241 75%
l\\;:;44 75 I
Uncertainty I
RWCUPMA2 = -403 lb/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 1Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
REVIEWER:
DATE:
Michael Miller John Wilkens 3/13/2017 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due-to Fluid Specific Weight Pressure Loop Uncertainty (RWCUP _SW)
Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop
uncertainty combined with the Numac computer uncertainty introduces.an error in the calculated specific weight.
The loop error is comprised of 1) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
IRWCUpresserror-121 psf
1 Ref.: 3A.1o Flow+err = C i< K x (DP x r+err I r)A05 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Ftowrated+error ( h_in - h_out) ] x 2.93E-07 I 3902 x 100%
Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0087 1.0045 C+err DP Rtd K = 9449.90 Calib Flow = 189823.1 lblhr Calib inWC = 403.5 Assumed Calib*Temp = 530.7 Assumed Calib *Press = 1114.7 r = 47.332 Assumed Rated Flow = 148021 1blhr Rated h = 524.83 btullb DP+err Fa Rtd 500 GPM 388.8 GPM I
Fa+err VERIFIER:
N/A (Note)
I T Rtd in 1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 0.00% l!J:J:\\
0 P Rtd P+err 0.00% 1;::2!! '::
r+perr INumac rerr 0
r+perr+Numac h Rtd in h Rtd out I
530.71 1020 1041 psi 47.2821 OJ 47.2821 524.96 412.64 TTL MFW Heat 16,616,340 lsTUihr 16,625,169 BTU/hrat rated conditions Error 8,829 Uncertainty in Rated MWt RWCUp,sw = 0.0001%
Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding SHEET:
CONT'D ON SHEET:
T Rtd out 433.8 Flow DATE:
N/A 1Rev 5 1Rev 5 1Rev 5 Rev 5 147,942 !Rev 5
!Rev 5 IRev 5 1Rev 5 18 19
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4. 1 0 Flow+err = C+err x K x (DP)AO.S The flow error is the difference between the rated flow minus the flow with the C coefficient error.
RWCUc = Flowrated - Flowrated+error K = 9449.90 Fa Error Rated S33F Caiibrated 1.0087 1.004S Calib Flow = 189823.1 LB/HR SOO GPM Calib inWC = 403.SO Assumed Calib Temp = S30.70 Assumed Calib Press = 1114.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated h = S24.83 btu/lb CRtd C+err DP Rtd DP+err FaRtd I
1.0000 1.01SO 24S.3S20 24S.3S20 1.00871 1.SO% lr - :':**i 1so 0.00% lt"'"Z"""'!'".--
Q I
P Rtd I
r I
h I
Flow I
1114.7 47.3324 S24.8 1S0,24 I
-- Uncertainty I
RWCUc = 2220.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 389 GPM Fa+err VERIFIER:
N/A (Note)
I 1.00871 SHEET:
CONT'D ON SHEET:
T Rtd T+err S30.7 S30.7
)J;::::?' 'i 0
DATE:
N/A I
Rev S
!Rev S Rev S
!Rev S
!RevS 19 20
(NC.DE-AP.ZZ-0002(Q), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.4 Reactor Water Cleanup Flow Error due to Differential Pressure (DP) Loop Uncertainty (RWCUdp)
This error is introduced by the differential pressure instrument.loop. The uncertainties in the loop are found in:
The loop is comprised of 1) flow transmitter, FT, 2) NUMAC computer. The uncertainties are in % DP span:
The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error Accuracy:
RWCU AFT RWCU ANU IE 0.503%
o.toO%
Loop Calibration:
RWCU CEFT I RWCU CENU AID 0.139%
0.02%
Loop Drift:
RWCU ANU AID I RWCU VDFT 0.233%
I 0.900%
The uncertainties are random and independent and combined by the SRSS method:
-T.09%jspan DP I
Flow+err = C x K X (DP+err)"0.5 K = 9449.90 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 189823.1 LB/HR 500 GPM Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1114.70 r = 47.332 Assumed Rated Flow = 148021 LB/HR Rated h = 524.83 btu/lb C Rtd C+err DP Rtd J
DP+err 1
Fa Rtd I
1.0000 1.0000 245.35201 249.73381 1.00871
- 0.00',.,.,;:,#di 0
f P Rtd
I r
I h
I Flow I
11 14.7 47.3324 524.83 149,336 I
Uncertainty I
RV)ICUdp = 1315.9 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 389 GPM Fa+err VERIFIER:
N/A Ret: 3.4.10 (Note)
I T Rtd 1.00871 SHEET:
20 CONT'D ON SHEET:
21 DATE:
N/A 1Rev 5 1Rev 5 Rev S T+err 530.7 530.7 fLll":.!
_ _Q 1Rev 5 1Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALC NO.:
SC-BB-0525 Attachment 1 ORIGINATOR:
DATE:
Michael Miller 2/14/2017 REV:
REVIEWER:
John Wilkens 5
CALCULATION CONTINUATION SHEET REF:
DATE:
VERIFIER:
3/13/2017 N/A 7.2.4.S Reactor Water Cleanup Flow Error due to Signal Conditioning/NSSS Computer Loop Uncertainty (RWCUNSSS_cptr)
SHEET:
CONT'D ON SHEET:
DATE:
N/A The differential pressure is converted to flow by the Numac computer and retransmitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
RWCU ANU D/A I RWCU AAID I 0.233%
0.188%
Loop Calibration:
RWCU CENU D/A RWCU CEA/D 0.02%
0.188%
The uncertainties are random and independent and combined by the SRSS method:
I 0.38%lspan FLOW I
Loop Drift:
I RWCU VDNU D/AI RWCU VNA/D I 0.13%
0.000%
The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCUNSSS_cptr = Flowrated - Flowrated+error Fa Error Rated S33F Calibrated C Rtd 1.0087 1.004S C+err DP Rtd K = 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.SO Assumed Calib Temp = S30.70 Assumed Calib Press = 1114.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated h = S24.83 btu/lb I
DP+err I
Fa Rtd I
1.0000 1.0000 24S.3S20I 24S.3S20I 1.00871 0.00% 11:::":!: '!
P Rtd r
1114.7 0
47.3324 h
Flowrated+err S24.83l 148,733.9 Uncertainty RWCUNSSS_cptr= 713.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding SOO GPM 389 GPM Fa+err I
1.00871 (Note)
T Rtd
'Rev S
'Rev S
'Rev S
!Rev S Rev S T+err S30.7 S30.7 i!":'::':'::i 0
!Rev S
!Rev S 21 22
(NC.DE-AP ZZ-0002(Q), Rev. 12, Fonn 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4-6 ReactorWater Cleanup Total Flow due to Flow Loop Uncertainties (RWCUf)
RWCU Inlet h - Outlet h.
The total RWCU Flow Uncertainty is calculated below:
RWCUfu =+/-SQRT(RWCUPMA 1 A2+RWCUd'2+RWCUdpA2+RWCUNSSS
_ cptrA2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since the negative uncertainty is the one that has impact in the heat balance calculations, that is, that (-) less indication means that power is higher; however, it will be factored in both directions for simplicity.
J RWCUfu = 3710 lb/hr I
Then, the heat error contribution is the calculated inlet flow heat error minus the outlet flow heat error:
RWCUh_in = 524.96 btu/lb RWCUh_out = 412.64 btu/lb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWtBTU_hr (conversion factor) ] I Rated MWt 100%
1-RWCUt = 0.0031%
IThis total error will be treated as bias in the total heat balance error SHEET:
22 CONT'D ON SHEET:
23 DATE:
N/A 1Rev 5 1Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTiNUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4. 7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
This error is the error resultant of temperature measurement errors by the inlet/outlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out Finally, since most of the thermocouples loop error is a bias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3.4.6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 / 3902 x 100%
In flow heat l
TRtd I
530.7 Error (F)
Out flow heat I
TRtd I
433.8 Error (F)
T+err 541.6 10.9 T+err 444.7 10.9 P Rtd I
h rated J
1020 1
524.96 I
P Rtd I
h rated I
1020 I
412.64 I
Error h+err 538.69 h+err 424.67 I
I I
I Flow I
148,021l Flow I
148,021 I I
3,813, 15T]BTU!hr error at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUht = 0.0286%
This error is a bias 23 24 DATE:
N/A jRev 5 jRev 5 1Rev 5 jRev 5 1Rev 5
I r
(NC.GE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER; DATE:
VERIFIER; Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (RWCUhp)
The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the wateT enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout-hout+error ) ] ] x 2.93E-07 I 3902 x 100%
In flow heat P Rtd P+err 1020 1040.2 Error (psi) 20.2 Out flow heat P Rtd P+err 1020 1040.2 Error (psi) 20.2 TRtd I
h rated I
h+err I
530.7 I
524.96 I
524.93 I
TRtd I
h rated I
h+err I
433.8 I
412.64 I
412.66 J
Error 6,672 BTU/hr at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUhp = 0.00005%
Flow 148,000" Flow I
148,0001 SHEET:
24 CONTD ON SHEET:
25 DATE:
N/A 1Rev 5 1Rev 5 1Rev 5 IRev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
25 CALC NO.:
SC-BB-0525 Attachment 1 REV:
5 REF:
CONTD ON SHEET:
26 ORIGINATOR:
DATE:
REVIEWER:
VERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.5 Recirculation Pumps Heat Error due to Watts Loop Uncertaintv (RRPw)
This section calculates the uncertainty due to RRP watts loop error, calculated in:
Ref.: 3.4.11 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3)
There are two recirculation pumps, the calculated error below is per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtd/pump + MW Loop Span x Span err ) x Mottor eff ] - W Rtd/pump x Motor eff ] / 3902 x 100%
I W Rtd/pmp+err Motor Eff W+err I
3.823 0.93 3.55 Error = 1.50 % span Span = :1ot;sl\\llwatt I
TTL Mwatl 3_:)Mwatt Error 0.1465 Mwatt Uncertainty in Rated MWT RRPw = 0.0038%
1Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 1 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.2.6 Thermal Loses (TL) 1DATE:
2/14/2017 REV:
!REVIEWER:
John Wilkens 5
REF:
1DATE:
3/13/2017 This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
W Rtd 1.1 fTTL Mwatt Heat
I L
1.32 MW 1.10 MW at rated conditions Error 0.2200 MW error at rated radiated loses Uncertainty in Rated MWT This error is treated as bias.
TL = 0.0056%
TVERIFIER:
I N/A Note: The computer utilizes this value combined with Other System Loses (Section 7.2. 7) as Radiative power loses, ORAD = 1.94 SHEET:
26 CONT'D ON SHEET:
27 V.:
!Rev 5 1Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 1 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.2.7 Other System Loses (OSL)
IDATE:
2/14/2017 REV:
I REVIEWER:
John Wilkens 5
REF:
I DATE:
3/13/2017
!VERIFIER:
N/A The rated value includes Rod Drive seal purge flow to recirculation pumps. An assumed error equal to 20% of the specified loses is used.
This error will be treated as a bias error since if the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
The rated Losses figure is from reference:
(Ref. 3.4.2)
W Rtd W+err 1.1 8 1.41 6 Error = 20%
I TTI... Mwatt Heat I
1.42 MW 1.1 8 M W at rated conditions Error 0.2360 MW error at rated radiated loses Uncertainty in Rated MWT OSL = 0.0060%
This error is treated as bias.
Note: The computer utilizes this value combined with Thermal Loses (Section 7.2.6) as Radiative power loses, QRAD = 1.94 SHEET:
27 CONT'D ON SHEET:
28 1::
jRev 5 j Rev 5
!Rev S
! Rev S
! Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment. 1 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1DATE:
2/14/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U)
REV:
'REVIEWER:
John Wilkens 5
REF:
I DATE:
3[13/2017
!VERIFIER:
N/A The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Summary of Heat Balance Calculation Contributing Errors:
Random Errors:
MSmoist = 0.0000%
CRDc = 0.0053%
CRDdp = 0:0061 %
RRPw = 0.0038%.
RWCUp sw = 0.0001 %
Dependent Errors:
Errors Variable FWhp = **
Rated MS pressure = 1 020 psia FWm = **
FWht = **
MSm = **
MShp = 0.0295%
CRDhp = -0.00006%
RWCUhp = 0.00005%
Bias Errors:
GROt = -0.0012%
CRDht = -0.0096%
RWCUf = 0.0031 %
RWCUht = 0.0286%
TL = 0.0056%
OSL = 0.0060%
Note that these terms are combined in reference 3.4.20 for an *over all uncertainty of 0.34% for FWm, FWht and FWhp Heat Balance Calculation Power Error (U):
Power Error = SQRT[{(0.0034 )A2+(MShp+CRDhp+RWCUhp )"2+MSmoist"2+CRDc"2+CRDdp"2+
+RWCUp_sw"2+RRPw"2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 0.374%
SHEET:
28 CONT'D ON SHEET:
29 I DATE:
N/A Rev 5 1Rev 5 j Rev 5 To ensure operation margin exist, due to possible instrumentation loops miss-calibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 3840
1 02% -Rated Thermal Power - Power Error Margin = 391 6.8 - 3902 - Power Error Margin = 0.005%
and Power U = 0.379%
j Rev 5
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 1 j;;:/2017 8.0
SUMMARY
REV:
1REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
I DATE:
3/13/2017
!VERIFIER:
N/A The calculated Heat Balance Error performed in this calculation is applicable to fully operational LEFM. The Power Uncertainty is the difference between the 2% design basis and the rated termal power for the current LEFM mode of operation. Positive margin is maintained between the Power Uncertainty and the Power Error. The Heat Balance calculation error (Section 7.0) is:
Power U = 0.379%
SHEET:
29 CONT'D ON SHEET:
N/A
.:
1 Rev 5 1 Rev 5
(NC.DE,AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
Michael Miller 2/14/2017 John Wi.lkens N/A Sections 1 through 4 have been replaced with the main body of the calculation 5.0 DESIGN INPUTS 5.1 Rated Power Conditions 1 00% rated Power Conditions are listed below. Actual 1 00% operation values might be used in lieu of rated nominal values, for other than Rated MWt, Feedwater Flow and Main Steam parameters as deemed appropriate. This is found ;;Jcceptable, since for the purpose of error determination to rated MWt "heat differential errors", actual heat contribution deviation from measured/calculated heat to rated MWt due to instrumentation uncertainties, is required not the actual deviation value.
Rated MWt = 3889MW This power level is set at the highest whole MWt power level which produces positive margin Rated FW flow= 1.7054E+071bm/hr (Ref. 3.4.17)
Rated FW temperature = 433.5 F (Ref. 3.4.1 7)
Rated MS flow= 17086000 (Ref. 3.4.17)
Rated MS pressure= 1020 psia (Ref. 3.4.1 7)
Rated MS quality= 100.000 (Ref. 3.4.1 )
Rated RWCU flow= 148000.0 lblhr (Ref. 3.4.17)
Rated RWCU*temperature = 530.7 F (Ref. 3.4.1 7)
Rated RWCU return temperature = 433.8 F (Ref. 3.4.1 7)
Notes:
Rated CRD flow = 32000.0 lb/hr (Ref. 3.4.3)
CRD Calibration pressure= 1474.0 psia (Ref. 3.4.5)
Rated CRD temperature = 77 F (Ref. 3.4.1 7)
Radiation Loses = 1.1 OMW (Ref. 3.4.2, 3.4.1 7)
Other System Loses = 1.18MW (Ref. 3.4.2, 3.4.17) These loses are not included in UFSAR Heat Balance, Ref. 3.1.1 MWtlBTU/hr = 2.. 9300E-07 (Ref. 3.4.1)
Power = MFW(MSh-FWh)-CRDF(hln-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous
1) This calculation uses rated MS quaflty of 1 00.0%, which will produce a more conservative number with respect to the actual plant MS quality.
This parameter may be revised when the actual MS quality is measured after the implementation of EPU.
2) This calculation specifies radiation loses as 1-.10 MW and other loses* as 0.84 MW for the total lose of 1.94 MW. Reference 3.4.17 stated "other system loses" as 1.9 MW without specifically accounting for Radiation loses. Since the two total numbers are almost identical and the difference would have negligible affect on the Power Error, radiation loses of 1.1 0 MW and the other ioses of 0.84 MW will be maintained.
6.0 ASSUMPTIONS The Main Feedwater uncertainties is included in the total termal power uncertainty provided by the LEFM while in mantenEmce mode is 0.66% per Reference 3.4.20 is provided based on a power level of 3902MWt. This is not interpolated based on a 3889MWt since the uncertainty provided by Reference 4.1.20 is only provided in two significant digits and the impact is neglible.
The design inputs from reference 3.4.17 are used as bounding design inputs and a 3889MWt heat balance is not included in reference 3.4.1 7. The difference between the operating region of the steam tables between the inputs of 3902MWt and 3889MWt are considered to be minimal and the impact is neglible.
See sections 7.2.3, 7.2.4, 7.2.6 and 7.2.7 for specific assumptions.
DATE:
N/A Rev 5 Rev 5 I Rev 5
!Rev 5 1Rev 5 1 Rev 5 1 Rev 5 1 2
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1;;:12017 7.0 CALCULATIONS 7.1 Methodology REV:
I REVIEWER:
jJohn Wilkens 5
REF:
I DATE:
j3/1312017
!VERIFIER:
N/A The methodology used to combine the uncertainties for the different contributors to the heat balance calculation is the square root of the sum of the squares of those uncertainties which are statistically independent Then algebraically combined with the those errors that are systematic, or bias. The uncertainties are considered to be random, two sided distributions. This methodology has been utilized before, and has been endorsed by the NRC and various industry standards (Ref. 3.4.12-3.4.14).
The uncertainty calculation combines the different errors from the different parameters contributing to the heat balance in accordance to the heat balance equation. The contributing parameters errors are taken from the specific system uncertainty calculation.
These errors are generally classified in two groups:
a) Instrument loop(s) uncertainty b) Process effects The individual uncertainties affecting the heat balance calculation are determined by the application of the corresponding process algorithm, as described below:
SHEET:
2 CONTD ON SHEET:
3
::
a) the appropriate algorithm for the specific process parameter is set in the form to its specific contribution to the heat balance at specified rated conditions, b) subsequently, the instrumentation loop error is factored in the process algorithm to calculate the corresponding process parameter with the error built-in, c) the difference of the calculated contributed process parameter heat, with error, to the rated process rated heat is then calculated, d) the resultant heat error contribution is then divided by the rated 1 00% power thermal megawatts. The result is the error contribution by the specific process to the total heat balance uncertainty, e) finally, all the calculated heat errors are combined in accordance to their parameter function in the heat balance equation. The resultant combination of all contributing errors is the Heat Balance Uncertainty.
(NC.DE-APZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
/2017 IREVJEWER:
j;;;2017
-óVERIFIER:
DATE:
Michael Miller John Wilkens N/A N/A 7.2 Uncertainties Calculation Rev S 7.2.1 Main Feedwater Uncertajntv(ies)
The Main Feedwater uncertainties are included in the total thermal power uncertainty provided by the LEFM while in mantenance mode is 0.66% per Reference 3.4.20.
This includes the Main Feedwater mass flow error, main feedwater heat enthalpy error, and the Main Steam mass flow error 7.2.1.1 Main Feedwater Mass Flow Heat Error due to Flow Element Uncertainty (FWm)
Deleted 7.2.1.2 Main Feedwater Heat Enthalpy Error due to Pressure Loop Uncertainty (FWhp)
Deleted 7.2.1.3 Main Feedwater Heat E-nthalpy Error due to Temperature Loop Uncertainty (FWht)
Deleted 3
4
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 CALCULATION CONTINUATION SHEET CALC NO.:
REV:
5 REF:
ORIGINATOR:
Michael Miller 1;;:/2017
'REVIEWER:
John Wilkens
/2017
'VERIFIER:
N/A 7.2.2 Main Steam Flow Uncertaintv(ies)
Referring to the schematic drawing in section 4.0, It can be seen that the Main Steam heat contribution is affected by the following parameters:
a) Main Steam Enthalpy determination is affected by the pressure instrumentation loop error, documented in calculation:
Ref. 3.4.4 7.2.2.1 Main Steam Mass Flow Heat Error due to Main Feedwater Flow Uncertainty (MSm)
Deleted SHEET:
4 CONTD ON SHEET:
5 I
DATE:
N/A IRev 5 Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 Johri Wilkens 3/13/2017 N1A 7.2.2.2 Main Steam Heat Enthalpy Error due to Pressure Loop Uncertainty (MShp)
This Section calculates the Main Heat Steam enthalpy error due to the loop pressure uncertainty, documented in:
Ref.: 3.4.4,
The heat error is the difference in the Main Steam flow heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
MShp = [ Flow (hrated - hrated+err) ] x 2.93E-07 I 3889 x 100%
P Rtd P+err Moist Rtd Moist+err h rated I
h+err I
Flow I
1 020 1026.1 1 00 100.000 1 1 92.191 1191.961 17,o86,ooo I Error (psi) =
6.1 0
TTL MS Heat 20,365,884,863 IBTU!hr 20,369,812,105 BTU/hr at rated conditions Error 3,927,242 BTU!hr error at rated main feedwater flow
[Error in Rated MWt I
j
-MShp = 0.0296%
SHEET:
CONT'D ON SHEET:
DATE:
N/A 1Rev 5 1Rev 5
!Rev 5 IRev 5 IRev 5 IRev 5 5 6
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.2.3. Main Steam Moisture Heat Enthalpy Error due to Steam Moisture Uncertainty (MSmoist)
This section calculates the Main Steam enthalpy error due to MS moisture uncertainty. The uncertainty is conservatively set to 50% of rated moisture content of 0.0%.
The heat error is the difference in the Main Steam flow heat content at rated flow and moisture conditions minus the heat content at rated moisture conditions plus moisture error:
MSmoist = [ Flowrated hrated (hmoist-rated - hmoist-rated+err) ] x 2.93E-07 / 3889 x 1 00%
P Rtd 1 020 P+err 1020 0.00000 Moist Rtd Moist+err h rated I
100 100.0000 1 1 92.1 91 0.00%
,,.,,,.;..

.

:. *.:,:;::::![;.;*;,:..
TTL MS Heat 20,369,812,1 os iBTU/hr 20,369,812,1 05 BTU/hr at rated conditions Error BTU!hr error at rated main feedwater flow Error in Rated MWt MSmoist = 0.0000%
h+err I
Flow 1 1 92.1 91 17,086,000 6
DATE:
N/A 1Rev 5 1Rev 5 1Rev 5 1 Rev 5 7
CALC NO" ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 j;;/2017 7.2.3 Control Rod Drive Flow REV:
'REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
'DATE:
3/13/2017
'VERIFIER:
N/A Referring to the schematic drawing in section 4.0, it can be seen that CRD flow is not monitored for pressure or temperature.
The CRD calculated heat is affected by the following effects:
a) Mass Flow Measurement affected by: 1 ) flow, instrumentation loop effect and 2) temperature, and 3) pressure deviation from calibration values b) The CRD Enthalpy determination is affected by: 1 ) temperature, from applied constants, and 2) pressure, from reactor pressure loop error The CRD flow loop errors are documented in calculation:
Ref. 3.4.5 The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow= C*Fa*K*(DP*r)A0.5 where K is calculated below:
K = Calib Flow/(Calib inWC
Calib r )A0.5 SHEET:
7 CONTD ON SHEET:
8
::
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.1 Control Rod Drive Flow Heat Error due to Flow Element and Fluid Specific Weight Uncertainty due to Temperature Error (CRDt)
The uncertainty is dependent for the following variables:
Fa = FE Thermal Expansion r
= Fluid Specific Weight The plant computer calculates the CRD flow with a constant flow K factor. However, the actual temperature could vary as much as 43F from the expected 77F, and this impacts the Fa and r impacting the calculated flow; therefore, the effect due to this temperature deviation is:
CRDt = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3889 x 1 00%
Ref.: 3.4.5 Fa Error Rated 77F
@140 F
@40 F Fa/F C Rtd 1.0000 1.0003 1.0013 0.9995 1.8E-05 C+err 1.0000 DP Rtd K= 448.48 Calib Flow = 50154 lb/hr Calib inWC = 200 Calib Temp = 77 Calib Press = 1474.7 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1 020 psia Rated Temp = 77 F Rated h = 47.83 btu/lb DP+err Fa Rtd 81.3694 81.3694 1.0003 100 GPM Fa+err I
1.001 11 SHEET:
8 CONT'D ON SHEET:
9 DATE:
N/A 1Rev 5 T Rtd T+err 77 1201 0.00% IF ::. :
0 0.00% 1'":1 0
!:::!!!i*i::'C:.*:
431 P Rtd r
1 020 61.9029 h Rtd Flow 47.83 31,863.902 TTLCRD Heat 36,463,826 IBTU/hr hs Rtd 1 1 92.19 36,61 9,571 BTU/hr at rated conditions Error (155,745) BTU/hr error at rated CRD flow (Error in Rated MWt I
Temp error= Calib Temp-Min Temp I
CRDt = -0.0012%
!This error is a bias, not a random instrument induced uncertainty.
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 NIA 7.2.3.2 Control Rod Drive Flow Heat Error due to Flow Element Uncertainty (CRDc)
The CRD contributed heat is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDc = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3889 x 1 00%
Fa Error Rated 77F
@140 F
@60 F Fa/F C Rtd P Rtd 1.0000 2.00%
1020.00 r
1.0003 1.0013 0.9995 1.8E-05 62.4433 DP Rtd K = 448.48 Calib Flow = 50154 Calib inWC = 200.00 Assumed Calib Temp = 77.00 Assumed Calib Press = :1474.00 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1 020 psia Rated Temp = 77 F Rated h = 47.83 btu/lb Fa Rtd 81.3694 1.0003 0.00%
h Rtd Flow 32,617.500 TTL MFWHeat 37,326,21 5 IBTU/hr hs Rtd 1 1 92.1 9 36,619,571 BTU/hr at rated conditions Error 706,644 BTU/hr error at rated CRD flow rError in Rated MWt I
CRDc = 0.0053%
100.00 0.0159925 Fa+err T Rtd 1.0003 77 SHEET:
CONTD ON SHEET:
77 0
DATE:
N/A 1Rev 5 IRev 5
! Rev 5
!Rev 5 1Rev 5 9 10
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEEl CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.3.3 Control Rod Drive Heat Error due to Differential Pressure (DP) Loop Uncertainty (CRDdp)
This error is calculated in calculation:
Ref.: 3.4.5 The loop is comprised of 1) flow transmitter, FT, 2) resistor, REST, 3) computer analog to digital card, AID.
The uncertainties are in % DP span:
Accuracy:
I CRD AFT I CRD AREST 1.154%
0.100%
Loop Calibration:
I
-1 CRD CEFT CRD CEAID 0.140%
0.188%
Loop Drift:
CRD_AA/D CRD VDFT CRD_VDA/D 0.188%
1.450%
0.000%
The uncertainties are random and independent and combined by the SRSS method:
I 1.88%lspan DP I
VERIFIER:
NIA SHEET:
10 CONT'D O N SHEET:
11 DATE:
NIA
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 I
DATE:
2/14/2017 REV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF: 'DATE:
3/13/2017
'VERIFIER:
N/A The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDdp = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3889 x 1 00%
Fa Error Rated 77F
@140 F
@60 F Fa/F P Rtd 1020 1.0003 1.0013 0.9995 1.8E-05 C+err 1.0000 0
DP Rtd K = 448.51 Calib Flow = 50157.2 lb/hr Calib inWC = 200 Assumed Calib Temp = 77 Assumed Calib Press = 1474 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1 020.0 lb/hr Rated Temp = 77 F CRDh rated = 47.83 btu/lb DP+err Fa Rtd 81.3584 85.1 1 83 1.0003 1.88%
CRDh rated Flowrated+err hs Rtd 47.83 32,708.537 1 1 92.19 TTL MFWHeat 37,430,393 IBTU/hr 36,619,571 BTU/hr at rated conditions Error 810,822 BTU/hr at rated CRD flow rrror in Rated MWt I
CRDdp = 0.0061%
1 00 GPM Fa+err TRtd 1.0003 SHEET:
11 CONT'D O N SHEET:
12 1ø:=
1 Rev 5 T+err 77 0
jRev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.4 Control Rod Drive Flow Enthalpy Heat Error due to Temperature Calibration Deviation (CRDht)
The plant computer calculates the CRD fluid enthalpy at a constant 77F and reactor pressure. However, the actual temperature varies and it is assumed to vary as much as 43F from the expected 77F; therefore, the effect due to this temperature deviation in the calculated enthalpy is:
Ref. 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDht = [ Flow (hs rated - CRDh rated) - Flow ( hs rated - CRDh rated+err ) ] x 2.93E-07 I 3889 x 1 00%
TRtd T Max/Min 77 40 T+err P Rtd 37 1 020 TTL RWCU Heat 37,892,585 IBTU/hr h rated 47.83 36,619,571 BTU/hr at rated conditions Error (1,273,014) BTU/hr at rated CRD flow Uncertainty in Rated MWt h+err hs rated 8.05 1 192.19 I
CRDht = -0.0096%
!This error is a bias, not a random instrument induced uncertainty.
SHEET:
12 CONT'D O N SHEET:
13 DATE:
N/A
!Rev S Flow 32,000 jRev 5
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2) scBB-0525 Attachment 2 DATE:
2/14/2017 REV:
REVIEWER:
John Wilkens*
5 CALCULATION CONTINUATION SHEET REF:
DATE:
VERIFIER:
3/13/2{117 N/A 7.2.3.5 Control Rod Qrive Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (CRDhp)
The plant computer calculates the CRQ fluid enthalpy at a constant 77Fand reactor loop pressure. that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3A.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRQhp = [ Flow (hs rated - CRQh rated) - Flow ( hs rated+err - CRQh rated ) ] x 2.93E-07 / 3889 x 100%
I P Rtd P+err L
1020 1026.1 Error (psi) = 6.1 TRtd 1 CRDh rated I hs rated 77 I
47.83 I
1192.19
_ TTL MFW Heatc 1
36,612;216 IBTU/hr 36,619,5H BTU/hr at rated conditions Error (7,355) BTU/hr at rated CRD flow Uncertainty in Rated MWt CRDhp = -0.00006%
I I
hs rated+err I
Flow I
1191.961 32,ooo I SHEET:
CONTD ON SHEET:
DATE:
N/A jRev 5 1Rev 5
!Rev S jRev 5 jRev 5 jRev 5 13 14
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1;;:/2017 72.4 Reactor Water Cleanup Uncertainty(ies)
REV: 'REVIEWER:
John Wilkens 5
REF: 'DATE:
3/13/2017 TvERIFIER:
IN/A Referring to the schematic drawing in section 4.0, it can be seen that RWCU flow is measured and mass calculated by a "NUMAC" process unit.
Differential pressure, temperature, by dedicated thermocouples, and reactor pressure are an input to the instrument. Therefore, the RWCU contributed heat is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) flow, 2) temperature, and 3) pressure induced factors/instrumentation loops errors b) The RWCU Enthalpy determination is affected by: 1 ) temperature instrumentation loop error (see discussion for pressure)
The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*K*(DP)A0.5 where K is:
K = Calib Flow I [ C*(Calib inWC)A0.5 ]
SHEET:
14 CONT'D O N SHEET:
15 T.,
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 2 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
Michael Miller 2/14/2017 John Wilkens DATE:
3/13/2017 7.2.4.1 RWCU Inlet/Outlet Flow Heat Error due to Flow Element Expansion deviation from Calibration (RWCUFa)
VERIFIER:
N/A The Numac computer calculating the mass flow has a buift-in Fa constant different than the flow element Fa provided at the calculated venturi rated temperature of S33F. This induces a bias error. Furthermore, the plant NUMAC normalizes the flow mass signal to a specific weight of 47.0 lbm/cuft for pressure and temperature conditions, back calculated below; therefore, the rated conditions are set at S30. 7F.
Pressure Density Compensated to :
The Fa used in the calculation is fixed to:
The correct Fa at rated S33 F is:
47.19 1b/cuft S30.7 F 1.0045 1.0087 908 psia Based on the Fa differences the induced flow error is calculated below:
Fa = FE Thermal Expansion Ref.: 3.4.1 0 Flow+err = C x Fa+err I Fa x K x (DP)AO.S Fa Error Rated S33F Cafibrated CRtd 1.0087 1.0045 C+err 1.0000 0
DP Rtd K = 9449.90 Calib Flow = 189823.1 lblhr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated h = S24.83 btu/lb DP+err Fa Rtd 24S.3S20 1.0087 0.00%
0 soo:GPM (Note)
.389 GPM< ": '
Fa+err T Rtd 1.004S l
PRtd P+err r
I h Rtd I
Flow+err I
I 1114.7 1114.7 I
0
.47.33241 S24.83l 147,404 1 l ----uncertainty ------l RWCUFa -o16.3 1b/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding DATE:
N/A IRev S I Rev S I
Rev S jRev S Rev S T+err S30.7 0
! Rev S
! Rev S 1 5 16
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
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VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight deviation (RWCUPMA)
This error is the combination of several uncertainties calculated below:
7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac Lookup Tables Error (RWCUPMA1)
The Numac performs the fluid specific weight determination with an error of 0.1 specific weight, this effect in the flow is calculated below.
r = Fluid Specific Weight Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA1 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd P Rtd 1.0000 0.00%
1 1 14.7 t;";';
1.0087 1.0045 C+err 1.0000 0
P+err 1 1 14.7 psi 1::::*;:--*:4 0 psi DP Rtd K = 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1 1 1 4.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated hout = 524.83 btu/lb DP+err Fa Rtd I
245.3520 245.3520 1.00871 0.00% f I :,
I 0
r INumacerr I r+perr+Numac I 47.3321 0.1J I
Uncertainty l
RWCUPMA1 = 156.3 lb/hr 47.4321 Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 500 GPM (Note) 388.8 GPM Fa+err J
1.00871 h Rtd I
524.831 T Rtd J
530.71 Flow I
148,177 1 SHEET:
16 CONT'D O N SHEET:
17 DATE:
N/A 1Rev 5 IRev 5 1 Rev 5 IRev 5 IRev 5
(NC.DE-AP ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
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SC-BB-0525 Attachment 2 REV:
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CONTD ON SHEET:
18 ORIGINATOR:
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VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13!2017 N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error (RWCUPMA2)
The Numac computer introduces a 0. 75 factor to the input pressure raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ret: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA2 = Fiowrated Flowrated+error Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0000 0.00% ll:d1:'!!'f'!!"'l 1.0087 1.0045 C+err 1.0000 0
DP Rtd K= 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1 1 1 4.7 r = 47.332 Assumed Rated Flow = 1 48021 lb/hr Rated = 524.83 btu/lb DP+en' Fa Rtd I
245.3520 245.3520 1.00871 0.00% 1::::':!+
0 500 GPM 388.8 GPM Fa+err I
1.00871 (Note)
T Rtd I
530.71 P Rtd P+err r+perr Numac rerr err+Numac h Rtdout h Rtd return 1 1 14.7
_840 psi 75%
47.5905 0
47.5905 524.83 I
Uncertainty l
I RWCUPMA2 = -403 lb/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 18"9, 1 97 lb/hr calculated in the reference due to rounding 412.64 DATE:
N/A 1Rev 5 IRev 5 1 Rev 5 1Rev 5 Flow 1 48,424
!Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight Pressure Loop Uncertainty (RWCUP _SW)
Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop uncertainty combined with the Numac computer uncertainty introduces an error in the calculated specific weight.
The loop error is comprised of 1 ) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
IRWCUpress error=l Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Flowrated+error ( h_in - h_out) ] x 2.93E-07 / 3889 x 1 00%
Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0087 1.0045 C+err DP Rtd K = 9449.90 Calib Flow = 189823.1 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1 1 1 4.7 r = 47.332 Assumed Rated Flow = 1 48021 lb/hr Rated h = 524.83 btu/lb DP+err Fa Rtd 500 GPM 388.8 GPM I
Fa+err I
1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 0.00% ****** :* i 0
P Rtd P+err 1 020 1 041 psi 0.00% I r+perr JNumac rerr 47.2821 TTL MFW Heat 1 6,61 6,340 IBTU/hr 0
r+perr+Numac Ol 47.2821 1 6,625,1 69 BTU/hr at rated conditions Error 8,829 Uncertainty in Rated MWt RWCUp_sw = 0.0001%
Note: This value is slightly different to the 189,1 97 lb/hr calculated in the reference due to rounding h Rtd in 524.96 VERIFIER:
N/A (Note)
T Rtd in l
530.71 h Rtd out 412.64 SHEET:
CONT'D.ON SHEET:
DATE:
N/A
! Rev 5 1Rev 5
! Rev 5 Rev 5 T Rtd out 433.81 Flow 1 47,942 I Rev 5
!Rev 5
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!Rev 5 18 19
(NC,DE-AP.ZZ-0002(0), Rev. 12, Form 2)
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Michael Miller 2/1412017 John Wilkens 3/13/2017 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.1 0 Flow+err = C+err x K x (DP)A0.5 The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUc = Flowrated - Flowrated+error K = 9449.90 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 1 89823.1 LB/HR 500 GPM Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 1 4.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated h = 524.83 btu/lb CRtd DP Rtd FaRtd 1.0000 245.3520 1.0087 1.50%
0,00%
I P Rtd
I r
I
h I
Flow I
1 1 4.7 47.3324 524.8 1 50,241 I
-Uncertainty ---
l RWCUc = 2220.3_lb/hr __
Note: This value is slightly different to the 189,1 97 lbihr calculated in the reference due to rounding 389 GPM Fa+err VERIFIER:
N/A (Note) 1.0087 TRtd 530.7 SHEEr:
CONTD ON SHEET:
T+err 530.7 0
DATE:
N/A 1 Rev 5
!Rev S Rev S IRev 5
! Rev S 19 20
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 2 ORIGINATOR:
DATE:
Michael Miller 2/14/2017 REV:
REVIEWER:
John Wilkens 5
REF:
DATE:
3/13/2017 7.2.4.4 Reactor Water Cleanup Flow Error due to Differential Pressure (DP) Loop Uncertainty (RWCUdp)
This error is introduced by the differential pressure instrument loop. The uncertainties in the loop are found in:
The loop is comprised of 1) flow transmitter, FT, 2) NUMAC computer. The uncertainties are in % DP span:
The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error Accuracy:
Loop Drift:
RWCU AFT 0.503%
RWCU ANU IE 0.100%
RWCU ANU A/D I RWCU VDFT I RWCU VDNU IE jRWCU VDNU A/D 0.2:i0%
0.900%
0.127%
0.1 27%
Loop Calibration:
RWCU CEFT I RWCU GENU A/D 0.1 39%
0.02%
The uncertainties are random and independent and combined by the SRSS method:
I 1.09%jspan DP I
Flow+err = C x K x (DP+err)A0.5 K = 9449.90 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 1 89823.1 LB/HR 500 GPM Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 1 4.70 r = 47.332 Assumed Rated Flow = 148021 LB/HR Rated h = 524.83 btu/lb C Rtd DP Rtd DP+err Fa Rtd 1.0000 245.3520 249.7338 1.0087 0.00%
I P Rtd I
r I
h I
Flow I
1 1 4.7 4 7.3324 524.83 1 49,336 I
Uncertainty I
RWCUdp = 1315.9 lb/hr Note: This value is slightly different to the 1 89,1 97 lb/hr calculated in the reference due to rounding 389 GPM Fa+err 1.0087 VERIFIER:
N/A Ref.: 3.4.1 0 (Note)
T Rtd SHEET:
20 CONT'D ON SHEET:
21 DATE:
N/A 1Rev 5 IRev 5 Rev 5 T+err 530.7 530.7i oi 1 Rev 5
!Rev 5
(NC.DE-AP.ZZ-DOD2(Q), Rev. 12, Form 2)
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A 7 2.4.5 Reactor Water Cleanup Flow Error due to Signal Cohditioning/NSSS Computer Loop Uncertainty (RWCUNSSS_cptr)
The differential pressure is converted to flow by the Numac computer and retransmitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1 ) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
RWCU ANU D/A 0.233%
RWCU AAID 0.188%
___.1 RWCU VNA/D 0.000%
Loop Calibration:
RWCU CENU D/A I RWCU CEND 0.02%
0.188%
The uncertainties are random and independent and combined by the S RSS method:
I
- o38%lspan FLOW I
The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCUNSSS_cptr== Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd P Rtd 1.0000 0.00%
1 1 1 4.7 1.0087 1.0045 DP Rtd K = 9449.90 Calib Flow = 1 89823.1 lb/hr Calib inWC== 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 1 48021 1b/hr Rated h = 524.83 btu/lb DP+err Fa Rtd 245.3520 245.3520 1.0087 h
I Flowrated+err 524.831 148,733.9 Uncertainty RWCUNSSS_cptr= 713.3 lblhr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 500 GPM 389 GPM Fa+err 1.0087 (Note)
T Rtd 1 Rev 5 1 Rev 5 Rev 5 T+err 530.7 530.7 0 IRev 5 j Rev 5 21 22
(NC.DE-AP.:LZ-0002(Q), Rev. 12, Form 2)
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.6 Reactor Water Cleanup Total Flow due to Flow Loop Uncertainties (RWCUf)
RWCU Inlet h - Outlet h.
The total RWCU Flow Uncertainty is calculated below:
RWCUfu =+/-SQRT(RWCUPMA1A2+RWCUcA2+RWCUdpi\\2+RWCUNSSS_cptri\\2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since the negative uncertainty is the one that has impact in the heat balance calculations, that is, that (-) less indication means that power is higher; however, it will be factored in both directions for simplicity.
I RWCUfu - 3710 lb/hr I
Then, the heat error contribution is the calculated inlet flow heat error minus the outlet flow heat error:
RWCUh_in = 524.96 btu/lb RWCUh_out = 412.64 btu/lb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWt_BTU_hr (conversion factor) ] / Rated MWt 1 00%
I RWCUf - 0.0031%
JThis total error will be treated as bias in the total heat balance error SHEET:
22 CONTD ON SHEET:
23 DATE:
NIA 1Rev 5 1Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
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23 CALC NO.:
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Michael Miller 2/14/2017 John Wilkens 7.2.4. 7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
DATE:
3/13/2017 VERIFIER:
N/A This error is the error resultant of temperature measurement errors by the inlet/outlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out Finally, since most of the thermocouples loop error is a bias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3.4.6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 /3889 x 100%
In flow heat L
TRtd T+err P Rtd I
h rated I
h+err I
Flow I
I S30.7 S41.6 Error (F) 1 0.9 Outflow heat I
TRtd T+err I
433.8 444.7 Error (F) 10.9 1020 l
S24.96 1
S38.69
_l 148,021 J P Rtd I
h rated I
h+err I
Flow I
1020 l
412.64 I
424.67 I
Error I
3}313--;151 !BTU/hr error at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUht = 0.0287%
This error is a bias 148,021_1 DATE:
N/A JRev S jRev S jRev S JRev S
!Rev S
I (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (RWCUhp)
The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the water enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout - hout+error ) ] ] x 2.93E-07 I 3889 x 100%
In flow heat P Rtd P+err TRtd I
h rated I
h+err Flow I
I r
1020 1040.2 530.7 I
524.96 I
524.93 I
148,000l I
I Error (psi)
Out flow heat P Rtd 1020 Error (psi) 20.2 P+err 1040.2 20.2 TRtd I
h rated I
h+err I
433.8 I
412.64 I
412.66 I
Error 6,672 BTU/hr at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUhp = 0.00005%
Flow I
148,0001 SHEET:
24 CONT'D ON SHEET:
25 DATE:
N/A 1Rev 5 1Rev 5 IRev 5 IRev 5
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
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Michael Miller 2/14/2017 Joh*n Wilkens 3/13/2017 N/A 7.2.5 Recirculation Pumps Heat Error due to Watts Loop Uncertaintv (RRPw)
This section calculates the uncertainty due to RRP watts loop error, calculated in:
Ref.: 3.4.1 1 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3)
There are two recirculation pumps, the calculated error below is per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtd/pump + MW Loop Span x Span err ) x Mottor eff ] -W Rtd/pump x Motor eff ] / 3889 x 100%
I W Rtd/pmp+err 3.823 Motor Eff 0._93 W+.err 3.55 Error = 150 '% span Span-= *:o:i's!lfilwlitf,::
-, 't?j;-.Jiilil rTL Mwatt 3.41 IMwatt Error 0.1465 Mwatt Uncertainty in Rated-MWT RRPw = 0.0038%
SHEET:
25 CONTD ON SHEET:
26 DATE:
N/A I Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 CALCULATION CONTINUATION SHEET CALC NO.:
REV:
5 REF:
ORIGINATOR:
Michael Miller
=/2017
[REVIEWER:
John Wilkens j;2017 7.2.6 Thermal Loses (TL)
This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
WRtd W+err 1.1 1.32 Error =.20.00%
ITT[Mwatt He 1.32 IMW 1.10 MW at rated conditions Error 0.2200 MW error at rated radiated loses Uncertainty in Rated MWT TL= 0.0057%
This error is treated as bias.
lVERIFIER:
N/A Note: The computer utilizes this value combined with Other System Loses (Section 7.2. 7) as Radiative power loses, QRAD = 1.94 SHEET:
26 I
CONT'D ON SHEET:
27
:=
!Rev 5
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 I
DATE:
2/14/2017 7.2.7 Other System Loses (OSL)
REV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
SHEET:
27 CONT'D ON SHEET:
28 I
DATE:.
rERIFIER:
1DATE:
1 3/13/2017 N/A N/A The rated value includes Rod Drive seal purge flow to recirculation pumps. An assumed error equal to 20% of the specified loses is used.
This error will be treated as a bias error since if the estimated value is larger or smaller than assumed. i.e. it is a fixed error not a random error.
The rated Losses figure is from reference:
(Ref. 3A.2) r W Rtd W+err I
1.1 8 1.416 Error = £1!%
I TTL Mwatt Heat I
1.42 tJNV 1.1 8 MW at rated conditions Error 0.2360 MW error at rated radiated loses I.UncertaintY in Rated MWT This error is treated as bias.
.OSL = 0.0061%
I Note: The computer utilizes this value combined with Thermal Loses (Section 7.2.6) as Radiative power loses, QRAD = 1.94
]Rev S
!Rev S
]Rev S
] Rev S
!Rev S
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller TDATE:
12114/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U)
REV:
TREVIEWER:
lJohn Wilkens 5
REF:
!DATE:
13113/2017 TvERIFIER:
IN/A The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Summary of Heat Balance Calculation Contributing Errors:
Random Errors:
MSmoist = 0.0000%
CRDc = O.OOS3%
CRDdp = 0.0061 %
RRPw = 0.0038%
RWCUp sw = 0.0001%
Dependent Errors:
Errors Variable FWhp = **
Rated MS pressure = 1020 psia FWm = **
FWht = **
MSm = **
MShp = 0.0296%
CRDhp = -0.00006%
RWCUhp = O.OOOOS%
Bias Errors:
CRDt = -0.0012%
CRDht = -0.0096%
RWCUf = 0.0031 %
RWCUht = 0.0287%
TL = O.OOS7%
OSL = 0.0061%
Note that these terms are combined in reference 3.4.20 for an over all uncertainty of 0.66% for FWm, FWht and FWhp Heat Balance Calculation Power Error (U):
Power Error = SQRT[((0.0066)A2+(MShp+CRDhp+RWCUhp)A2+MSmoist"2+CRDcA2+CRDdp"2+
+RWCUp _ sw"2+RRPw"2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 0.694%
SHEET:
28 CONT'D ON SHEET:
29 V:
Rev S I
Rev S
!Rev S To ensure operation margin exist, due to possible instrumentation loops miss-calibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 3840
1 02% - Rated Thermal Power - Power Error Margin = 3916.8 - 3889 - Power Error Margin = 0.021%
and Power U = 0.715%
!Rev S
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 2 rDATE:
12114/2017 8.0
SUMMARY
CALCULATION CONTINUATION SHEET REV:
5 REF:
I REVIEWER:
John Wilkens 1;Y:/2017
!VERIFIER:
N/A The calculated Heat Balance Error performed in this calculation is applicable to fully operational LEFM. The Power Uncertainty is the difference between the 2% design basis and the rated termal power for the current LEFM mode of operation. Positive margin is maintained between the Power Uncertainty and the Power Error. The Heat Balance calculation error (Section 7.0) is:
Power U = 0.715%
SHEET:
29 CONTD ON SHEET:
N/A 1Rev 5
]Rev S
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A Sections 1 through 4 have been replaced with the main body of the calculation 5.0 DESIGN INPUTS 5.1 Rated Power Conditions 1 00% rated Power Conditions are listed below. Actual 1 00% operation values might be used in lieu of rated nominal values, for other than Rated MWt, Feedwater Flow and Main Steam parameters as deemed appropriate. This is found acceptable, since for the purpose of error determination to rated MWt "heat differential errors", actual heat contribution deviation from measured/calculated heat to rated MWt due to instrumentation uncertainties, is required not the actual deviation value.
Rated MWt = 3840MW (Ref. 3.4.1 7, 3.2.4)
Rated FW flow = 1.6741E+071bm/hr (Ref. 3.4.17)
Rated FW temperature = 431.6 F (Ref. 3.4.1 7)
Rated MS flow = 16773000 (Ref. 3.4.17)
Rated MS pressure = 1020 psia (Ref. 3.4.1 7)
Rated MS quality = 100.000 (Ref. 3.4.1)
Rated RWCU flow = 148000.0 lb/hr (Ref. 3.4.1 7)
Rated RWCU temperature = 530.8 F (Ref. 3.4.17)
Rated RWCU return temperature = 433.9 F (Ref. 3.4.1 7)
Notes:
Rated CRD flow = 32000.0 lb/hr (Ref. 3.4.3, 3.4.17)
CRD Calibration pressure = 1474.0 psia (Ref. 3.4.5)
Rated CRD temperature = 77 F (Ref. 3.4.5)
Radiation Loses = 1.10MW (Ref. 3.4.2, 3.4.17)
Other System Loses = 1.18MW (Ref. 3.4.2, 3.4.17) Note: These loses are not included in UFSAR Heat Balance, Ref. 3.1.1 MWt!BTU/hr = 2.9300E-07 (Ref. 3.4.1)
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous
1) This calculation uses rated MS quality of 1 00.00%, which will produce a more conservative number with respect to the actual plant MS quality.
This parameter may be revised when the actual MS quality is measured after the implementation of EPU.
2) This calculation specifies radiation loses as 1. 1 0 MW and other loses as 0.84 MW for the total lose of 1.94 MW. Reference 3.4.17 stated "other system loses" as 1.9 MW without specifically accounting for Radiation loses. Since the two total numbers are almost identical and the difference would have negligible affect on the Power Error, radiation loses of 1.1 0 MW and the other loses of 0.84 MW will be maintained.
6.0 ASSUMPTIONS See sections 7.2.3, 7.2.4, 7.2.6 and 7.2.7 for specific assumptions.
DATE:
N/A Rev 5 Rev 5 1Rev 5 1 Rev 5 1
2
CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-88-0525 Attachment 3 REV:
CALCULATION CONTINUATION SHEET 5
REF:
ORIGINATOR:
Michael Miller I
DATE:
2/14/2017 I
REVIEWER:
John Wilkens I
DATE:
3/13/2017 I
VERIFIER:
N/A 7.0 CALCULATIONS 7.1 Methodology The methodology used to combine the uncertainties for the different contributors to the heat balance calculation is the square root of the sum of the squares of those uncertainties which are statistically independent. Then algebraically combined with the those errors that are systematic, or bias. The uncertainties are considered to be random, two sided distributions. This methodology has been utilized before, and has been endorsed by the NRC and various industry standards (Ref. 3.4.12-3.4.14).
The uncertainty calculation combines the different errors from the different parameters contributing to the heat balance in accordance to the heat balance equation. The contributing parameters errors are taken from the specific system uncertainty calculation.
These errors are generally classified in two groups:
a) Instrument loop(s) uncertainty b) Process effects The individual uncertainties affecting the heat balance calculation are determined by the appl.ication of the corresponding process algorithm, as described below:
SHEET:
2 CONT'D ON SHEET:
3 1:=
a) the appropriate algorithm for the specific process parameter is set in the form to its specific contribution to the heat balance at specified rated conditions, b) subsequently, the instrumentation loop error is factored in the process algorithm to calculate the corresponding process parameter with the error built-in, c) the difference of the calculated contributed process parameter heat, with error, to the rated process rated heat is then calculated, d) the resultant heat error contribution is then divided by the rated 1 00% power thermal megawatts. The result is the error contribution by the specific process to the total heat balance uncertainty, e) finally, all the calculated heat errors are combined in accordance to their parameter function in the heat balance equation. The resultant combination of all contributing errors is the Heat Balance Uncertainty.
CALCULATION CONTINUATION SHEET SHEET:
3 CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 REV:
5 REF:
CONTD ON SHEET:
4 ORIGINATOR:
Michael Miller 1;;/2017 7.2 Uncertainties Calculation 7.2.1 Main Feedwater Uncertainty{ies)
TREVIEWER:
!John Wilkens 1;;;/2017 1VERIFIER:
N/A Referring to the schematic drawing in section 4.0, it can be seen that the Main Feedwater heat contribution is affected by the following parameters:
a) Mass Flow Measurement affected by: 1 ) flow, 2) temperature, and 3) pressure instrumentation loops error.
The error provided by the vendor for the ultrasonic flow meter already factors the corresponding temperature and pressure loops effect.
b) Feedwater Enthalpy determination affected by: 1) temperature, and 2) pressure, instrumentation loops error.
The main feedwater enthalpy is calculated using the following signals:
- Main Steam Pressure and Main Feedwater Temperature The main feedwater mass error is provided as percentage of span at 100% rated power at span of 20,000,000 lbrnlhr as documented in Ref.: 3.4.7 Section 7.12.3.
The number to be used for 1 00% flow is positive error of +0.72% flow span at 20,000,000 lbm/hr span or 144,000 Ibm/hr.
(Note: Ref.: 3.4. 7 Section 7.12.1 NSSS Computer-Feedwater Flow took credit for constant correction of feedwater flow by crossflow. For this calculation where crossflow correction is not credited, the number in Section 7.12.1 cannot be used. Instead the error calculated in Section 7.12.3: GETARS Total Flow 3840 MWt should be used. The propagation of feedwater flow error is identical between NSSS computer and GETARS computer, i.e. both their loops consist of feedwater nozzles, flow transmitters, DFCS Foxboro interface modules, and computers.)
The heat error is the difference in the MFW heat content at rated flow conditions minus the heat error content at rated conditions plus flow error:
FWm = [ hrated (Flowrated - Flowrated+err) ] x 2.93E-07/3840 x1 00%
F Rtd 1 6,741,000 Error % reading P Rtd TRtd 1 020 431.6 TTL MFW Heat 6,926,704,606 IBTU/hr h rated 410.23 6,867,631, 732 BTU/hr at rated conditions Error 59,072,873 BTU/hr at rated main feedwater flow Uncertainty in Rated MWT FWm = 0.4507%
TDATE:
IN/A
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.1.2 Main Feedwater Heat Enthalpy Error due to Pressure Loop Uncertainty (FWhp)
The main feedwater enthalpy is determined from reactor loop pressure, that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3.4.4 VERIFIER:
N/A The heat error is the difference in the MFW heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
FWhp = [ Flow {hrated - hrated+err) ] x 2.93E-07 / 3840 x 1 00%
P Rtd P+err 1 020 1 026.1 Error (psi)
TRtd 431.6 TTL MFW Heat 6,867,717,889 I
I h rated I
h+err 410.23 I
410.23 6,867,631,732 BTU/hr at rated conditions Error 86,156 BTU/hr at rated main feedwater flow Uncertainty in Rated MWt FWhp = 0.0007%
I Flow I
I 1 6,741,ooo I SHEET:
CONT'D ON SHEET:
DATE:
N/A 1Rev 5
! Rev S 1Rev 5 1 Rev 5 j Rev 5 4
5
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.1.3 Main Feedwater Heat Enthalpy Error due to Temperature Loop Uncertainty (FWht)
The main feedwater enthalpy determination is affected by the loop temperature error, documented in:
Ref.: 3.4.8 The heat error is the difference in the MFW heat content at rated flow and enthalpy conditions minus the heat content at rated flow conditions with enthalpy at rated temperature plus temperature induced error:
FWht = [ Flow (hrated - hrated+err) ] x 2.93E-07 / 3840 x 1 00%
TRtd T+err 431.6 433 Error (F) = ' ',!,!,, (,
1,.53,,,,,,,,,,,,,, :;
P Rtd I
h rated I
h+err I
1 020 j
410.23
_l 41 1.91 I
This error is subject to change depending in performance history TTL MFW Heat 6,895,730,240 IBTU/hr 6,867,631,732 BTU/hr at rated conditions Error 28,098,508 BTU/hr error at rated main feedwater flow
)Uncertainty in Rated MWt FWht = 0.2144%
I Flow I
1 6,741,ooo I SHEET:
5 CONTD ON SHEET:
6 DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1;/2017 7.2.2 Main Steam Flow Uncertainty(ies)
REV:
T REVIEWER:
!John Wilkens 5
REF:
I DATE:
3/13/2017 1VERJFIER:
I N/A Referring to the schematic drawing in section 4.0, It can be seen that the Main Steam heat contribution is affected by the following parameters:
a) The calculated Main Steam Heat is affected by the mass flow measurement error (see section 7.2.1.1 Main Feedwater Mass Error).
b) Main Steam Enthalpy determination is affected by the pressure instrumentation loop error, documented in calculation:
Ref. 3.4.4 7.2.2.1 Main Steam Mass Flow Heat Error due to Main Feedwater Flow Uncertainty (MSm)
The main feedwater mass error is provided from Section 7.2.1.1:
The heat error is the difference in the Main Steam flow heat content at rated flow conditions minus the heat content at rated conditions plus flow error:
MSm = [ hs rated (Fiowrated - Flowrated+err) ] x 2.93E-07 I 3840 x 1 00%
FWFEerr = 0.7200%
F Rtd F+err 1 6,773,000.
16,917,000 Span Mass Flow P Rtd 1 020 TTL MFW Heat 20,168,331,463 IBTU/hr hs rated 1 192.19 19,996,655,650 BTU/hr at rated conditions Error 171,675,813 BTU/hr at rated main feedwater flow
)Uncertainty in Rated MWT I
MSm =. 1.3099%
SHEET:
6 CONT'D ON SHEET:
7 T:;=
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.2.2 Main Steam Heat Enthalpy Error due to Pressure Loop Uncertainty (MShp)
This Section calculates the Main Heat Steam enthalpy error due to the loop pressure uncertainty, documented in:
Ref.: 3.4.4 The heat error is the difference in the Main Steam flow heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
MShp = [ Flow (hrated - hrated+err) ] x 2.93E-07 I 3840 x 1 00%
P Rtd P+err Moist Rtd Moist+err h rated I
h+err I
Flow l
1 020 1 026.1 1 00 1 00.000 1 1 92.191 1 191.961 1 6.773,ooo I Error (psi) -
6.1 0
TTL MS Heat 1 9,992,800,352 IBTU/hr 19,996,655,650 BTU/hr at rated conditions Error 3,855,299 BTU/hr error at rated main feedwater flow I
Error in Rated MWt I
MShp = 0.0294%
SHEET:
CONT'D ON SHEET:
DATE:
NIA 1 Rev 5 1Rev 5 IRev 5 1 Rev 5 1Rev 5 7
8
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
Michael Miller 2/14/2017 REVIEWER:
John Wilkens 7.2.2.3. Main Steam Moisture Heat Enthalpy Error due to Steam Moisture Uncertainty (MSmoist)
DATE:
3/13/2017 This section calculates the Main Steam enthalpy error due to MS moisture uncertainty. The uncertainty is conservatively set to 50% of rated moisture content of 0.0%.
The heat error is the difference in the Main Steam flow heat content at rated flow and moisture conditions minus the heat content at rated moisture conditions plus moisture error:
MSmoist = [ Flowrated hrated (hmoist-rated - hmoist-rated+err) ] x 2.93E-07 I 3840 x 100%
P Rtd 1020 P+err I Moist Rttl 10201 100 0.000001 0.00%
TTL MS Heat 19,996,655,650 !BTU/hr h rated 1192.19 19,996,655,650 BTUJhr at rated conditions Error BTU/hr error at rated main feedwater flow Error in Rated MWt MSmoist = 0.0000%
h+err Flow 1192.19 16,773,000 8
9
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 1::/2017 7.2.3 Control Rod Drive Flow REV: 'REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
j;;/2017 TVERIFIER:
IN/A Referring to the schematic drawing in section 4.0, it can be seen that CRD flow is not monitored for pressure or temperature.
The CRD calculated heat is affected by the following effects:
a) Mass Flow Measurement affected by: 1 ) flow, instrumentation loop effect and 2) temperature, and 3) pressure deviation from calibration values b) The CRD Enthalpy determination is affected by: 1) temperature, from applied constants, and 2) pressure, from reactor pressure loop error The CRD flow loop errors are documented in calculation:
Ref. 3.4.5 The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*Fa*K*(DP*r)A0.5 where K is calculated below:
K = Calib Flow/(Calib inWC
Calib r )A0.5 SHEET:
9 CONT'D ON SHEET:
1 0 1-T::
I (NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 ORIGINATOR:
DATE:
Michael Miller 2/14/2017 REV:
REV I. EWER:
John Wilkens 5
REF:
DATE:
VERIFIER:
3113/2017 N/A 7.2.3.1 Control Rod Drive Flow Heat Error due to Flow Element and Fluid Specific Weight Uncertainty due to Temperature Error (CRDt)
The uncertainty is dependent for the following variables:
Fa = FE Thermal Expansion r = Fluid Specific Weight The plant computer calculates the CRD flow with a constant flow K factor. However, the actual temperature could vary as much as 43F from the expected 77F, and this impacts the Fa and r impacting the calculated flow; therefore, the effect due to this temperature deviation is:
CRDt = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 1 3840 x 100%
Ref.: 3.4.5 Fa Error Rated 77F
@140 F
@40 F Fa/F C Rtd 1.0000 0.00% 1!))1;1;"' :::
1.0003 1.0013 0.9995 1.8E-05 C.+err 1.0000 0
DP Rtd K = 448.48 Calib Flow = 50154 1b/hr Calib inWC = 200 Calib Temp = 77 Calib Press = 1474.7 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1020 psia Rated Temp = 77 F Rated h =.47.83 btu!lb DP+err Fa Rtd 81.3694 81.3694 1.0003 0.00% ill:=
0 1 00 GPM Fa+err I
1.0011 1 T Rtd Temp error = Calib Temp - Min Temp P Rtd r
h Rtd Flow hs Rtd 10201 61.90291 47.831 31,863.902 I 1 1 92.1 9 TTL CRD Heat *.
36,463,826 IBTU/hr 36,619,571 BTU/hr at rated conditions Error (155,745) BTU!hr error at rated CRD flow 77
[Error in Rated MWt
I CRDt :::: -0.0012%
This error is a bias, not a random instrument induced uncertainty.
SHEET:
10 CONTD O N SHEET:
11 DATE:
N/A T+err 1 201
!.5;;:.. **..41
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.2 Control Rod Drive Flow Heat Error due to Flow Element Uncertainty (CRDc)
The CRD contributed heat is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDc = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3840 x 100%
Fa Error Rated 77F
@140 F
@60 F Fa/F C Rtd P Rtd 1.0000 2.00%
1020.00 1.0003 1.0013 0.9995 1.8E-05 C+err lt*:* o.* :.
2oo 1.0200 DP Rtd K = 448.48 Calib Flow = 50154 Calib inWC = 200.00 Assumed Calib Temp = 77.00 Assumed Calib Press = 1474.00 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1 020 psi a Rated Temp = 77 F Rated h = 47.83 btu/lb DP+err Fa Rtd I
81.3694 81.3694 1.00031 0.00%,,,>':!
0 h Rtd Flow hs Rtd 47.83 32,617.500 1192.19 TTL MFW Heat 37,326,215 IBTU/hr 36,619,571 BTU/hr at rated conditions Error 706,644 BTU/hr error at rated CRD flow I
Error in Rated MWt I
CRDc = 0.0054%
100.00 0.0159925 Fa+err I
T Rtd 1.00031 SHEET:
11 CONT"D O N SHEET:
12 DATE:
N/A T+err I
77 771 1"*'"':"::::::1 0
(NC.DE-AP.ZZ-0002{Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.3.3 Control Rod Drive Heat Error due to Differential Pressure (DP) Loop Uncertainty (CRDdp)
This error is calculated in calculation:
Ref.: 3.4.5 The loop is comprised of 1) flow transmitter, FT, 2) resistor, REST, 3) computer analog to digital card, AID.
The uncertainties are in % DP span:
Accuracy:
I CRD AFT I CRD AREST 1.154%
0.100%
Loop Calibration:
I CRD CEFT D CEA/D I 0.140%
0.188%
CRD AND.
0.188%
Loop Drift:
CRD VDFT I
. CRD VDA/D 1.450%
0.000%
The uncertainties are random and independent and combined by the SRSS method:
1.88%lspan DP I
VERIFIER:
N/A SHEET:
12 CONT'D ON SHEET:
13 DATE:
N/A
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDdp = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3840 x 100%
Fa Error Rated 77F
@140 F
@60 F Fa/F 1.0003 1.0013 0.9995 1.8E-05 K = 448.51 Calib Flow = 50157.2 lb/hr Calib inWC = 200 Assumed Calib Temp = 77 Assumed Calib Press = 1474 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1020.0 lb/hr Rated Temp = 77 F CRDh rated = 47.83 btu/lb 100 GPM C Rtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
T Rtd T +err P Rtd 1.0000 1.0000 81.3584 85.1 183 1.00031 1.00031 77 77 0.00% f;:!;;!
0 1.88%L.:< '!
c;.,,,:* *i 0
r 1020 62.4433 CRDh rated Flowrated+err hs Rtd 47.83 32,708.537 TTL MFW Heat 37,430,393 IBTU/hr 36,619,571 BTU/hr at rated conditions Error 810,822 BTU/hr at rated CRD flow Error in Rated MWt

W CRDdp = 0.0062%

1192.19 1 3 1 4 DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.4 Control Rod Drive Flow Enthalpy Heat Error due to Temperature Calibration Deviation (CRDht)
The plant computer calculates the CRD fluid enthalpy at a constant 77F and reactor pressure. However, the actual temperature varies and it is assumed to vary as much as 43F from the expected 77F; therefore, the effect due to this temperature deviation in the calculated enthalpy is:
Ref. 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDht = [ Flow (hs rated - CRDh rated) - Flow ( hs rated - CRDh rated+err ) ] x 2.93E-07 / 3840 x 100%
TRtd 77 T+err P Rtd 37 1020 TTL RWCU Heat 37,8:92,585 IBTU/hr h rated 47.83 36,619,571 BTU/hrat rated conditions.
Error.
(1,273,014) BTU/hr at rated CRD flow Uncertainty in Rat-ed MWt h+err hs rated 8.05 1192.19 I
CRDht = -0.0097%
!This error is a bias, not a random instrument induced uncertainty.
SHEET:
14 CONT'D O N SHEET:
15 DATE:
N/A Flow 32,000
I I
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 211412017 John Wilkens 3/13/2017 N/A 7.2.3.S Control Rod Drive Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (CRDhp)
The piant computer calculates the CRD fluid enthalpy at a constant 77Fand reactor loop pressure, that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDhp = [ Flow (hs rated - CRDh rated) - Flow ( hs rated+err - CRDh rated ) ] x 2.93E-07 1 3840 x 100%
P Rtd 1020 Error (psi) -
P+err 1026.1 6'.1..
' * ' i ' :
TRtd I
CRDh rated _l hs rated 77 I
47.83 I
1 192.1 9 TTL MFW Heat I
36,612,216 IBTU/hr 36,619,S71 BTU/hr at rated conditions Error (7,355) BTU/hr at rated CRD flow Uncertainty in Rated MWt CRDhp = -0.00006%
I hs rated+err I
Flow I
1 191.961 I
32,000 l SHEET:
CONT'D ON SHEET:
DATE:
N/A I
Rev S
!Rev S
!Rev S
!Rev S
!Rev S 15 16
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller lDATE:
2/14/2017 7.2.4 Reactor Water Cleanup Uncertaintvfies)
REV:
rREVIEWER:
John Wilkens 5
REF:
I DATE:
3/13/2017 1VERIFIER:
I N/A Referring to the schematic drawing in section 4.0, it can be seen that RWCU flow is measured and mass calculated by a "NUMAC" process unit Differential pressure, temperature, by dedicated thermocouples, and reactor pressure are an input to the instrument Therefore, the RWCU contributed heat is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) flow, 2) temperature, and 3) pressure induced factors/instrumentation loops errors b) The RWCU Enthalpy determination is affected by: 1) temperature instrumentation loop error (see discussion for pressure)
The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*K*(DP)A0.5 where K is:
K = Calib Flow I I C*(Calib inWC)A0.5 ]
SHEET:
16 CONT'D O N SHEET:
17 lDATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALC NO.:
SC-BB-0525 Attachment 3 ORIGINATOR:
DATE:
Michael Miller 211412017 REV:
REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
VERIFIER:
N/A 7.2.4.1 RWCU Inlet/Outlet Flow Heat Error due to Flow Element Expansion deviation from Calibration (RWCUFa)
The Numac computer calculating the mass flow has a built-in Fa constant different than the flow element Fa provided at the calculated venturi rated temperature of 533F. This induces a bias error. Furthermore, the plant NUMAC normalizes the flow mass signal to a specific weight of 47.0 lbm/cuft for pressure and temperature conditions, back calculated below; therefore, the rated conditions are set at 530.8F.
Pressure Density Compensated to :
The Fa used in the calculation is fixed to:
The correct Fa at rated 533 F is:
47.18 lb/cuft 530.8 F 1.0045 1.0087 908 psia Based on the Fa differences the induced flow error is calculated below:
Fa = FE Thermal Expansion Ref.: 3.4.10 Flow+err = C x Fa+err I Fa x K x (DP)A0.5 Fa Error Rated 533F Calibrated C Rtd 1.0000 1.0087 1.0045 C+err 1.0000 DP Rtd K = 9448.61 Calib Flow = 189797.2 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 114.7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb DP+err Fa Rtd I
245.3519 245.3519 1.00871 500 GPM (Note) 389 GPM Fa+err I
T Rtd 1.00451 530.8 SHEET:
CONT'D ON SHEET:
T+err 530.8 0.00% lf0¥;;;1 0
0.00%
I t"':':'
0 l; ' *=lliJ:;f 0
I P Rtd P+err r
1 1 14.7 1 114.7
-:"!'4 0
r I
h Rtd I
Flow+err I
47.32591 524.951 147,384j I
Uncertainty I
I RWCUFa -616.2 lb/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 17 18 DATE:
N/A
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 NIA 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Speclfic Weight deviation ( RWCUPMA)
This error is the combination of several uncertainties calculated below:
7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac Lookup Tables Error (RWCUPMA1)
The Numac performs the fluid specific weight determination with an error of 0.1 specific weight, this effect in the flow is calculated below.
r = Fluid Specific Weight Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)"0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWGUPMA1 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated P Rtd 1 1 14.7 1.0087 1.0045 P+err 11 14.7 psi 11:2::'!'!
0 psi r
K= 9448.61 Calib Flow = 189797.2 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 114.7 r = 47.326 INumac err I r+perr+Numac I A7.326l o:*!J 47.4261
r.
Uncertainty I
RWCI.JPMA1 = 156.3 1b/hr Note: This. value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 500 GPM 388.8 GPM h Rtd (Note)
I 524.951 SHEET:
18 CONTD O N SHEET:
19 DATE:
N/A Flow I
148,157 1
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error (RWCUPMA2)
The Numac computer introduces a 0.75 factor to the input pressure raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)"0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA2 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0000 0.00% IF;;,;;' :
1.0087 1.0045 C+err 1.0000 0
DP Rtd K = 9448.61 Calib Flow = 189797.2 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 114.7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated = 524.95 btu/lb DP+err Fa Rtd I
245.3519 245.3519 1.00871 0.00% 1::;;;;: :!
0 500 GPM 388.8 GPM Fa+err (Note)
I 1.00871 T Rtd I
530.81 P Rtd P+err T Sat r+perr INumac rerr l
r+perr+Numac I
h Rtdout I h Rtd return I 1 114.7 840 psi 75%
523.8 47.58951 Ol 47.58951 524.951 E:.':::!'** *i L
I Uncertainty RWCUPMA2 = -412 lb/hr I This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 412.751 19 20 DATE:
N/A Flow I
148,412j
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONnNUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORlGINATDR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight Pressure Loop Uncertainty ( RWCUP _SW)
Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop uncertainty combined with. the Numac computer uncertaTnty introduces an
. error in the calculated specific~weight The loop error is comprised of 1) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
[RWcupress errorf:l21.psi
I Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Flowrated+error( h_in - h_out) ]x 2.93E-07 I 3840 x 100%
Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0087 1.0045 C+err OP Rtd K = 9448.61 Calib Flow = 189797.2 lblhr Calib inWC = 403.5 Assumed Callb Temp.= 530.8 Assumed Calib Press = 1 114.7 r = 47.326 Assumed Rated Flow = 148000 lbfhr Rated h = 524.95 btu/lb DP+err Fa Rtd I
1.0000 1.0000 245.3519 245.3519 1.00871 0.00% I!J:'-!'*<Iii I!
0 P Rtd P+err 1020 1041 psi o:OO% lii!11'!!-'tz r+perr INumac rerr 47.2756 TTL MFW Heat 1 6,616,239-IBTU/hr 0
r+perr+Numac Ol 47.2756 16,625,077 BTU/hr at rated conditions Error 8,837 Uncertainty in Rated MWt
. RWCUp_sw :: 0.0001%
Note: This value is slightly different to the 189,197 lblhr calculated in the reference due to rounding 500 GPM 388.8 GPM Fa+err h Rtd in VERIFIER:
N/A (Note)
I T Rtd in I
1.00871 530.81 h Rtd out 525.08 412.75 SHEET:
20 CONT'D ON SHEET:
21 DATE:
N/A T Rtd out I
433.91 Flow 147,922
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.1 0 Flow+err = C+err x K x (DP)A0.5 The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUc = Flowrated - Flowrated+error K = 9448.61 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 189797.2 LB/HR 500 GPM C Rtd C+err DP Rtd Calib inWC = 403.50 Assumed Calib Temp = 530.80 Assumed Calib Press = 1 1 1 4.70 r = 47.33 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb DP+err Fa Rtd I
1.0000 1.0150 245.3519 245.351 9 1.00871 1.50% IF;:;:'** '! 15o 0.00% ³""*!
0 I
P Rtd I
r I
h I
Flow I
1 14.7 47.3259 525.0 150,220 I
Uncertainty -- ---
RWCUc = 2220.0 lb/hr I
Note: This value is slightly different to the 1 89,197 1b/hr calculated in the reference due to rounding 389 GPM Fa+err VERIFIER:
N/A (Note)
I 1.00871 SHEET:
21 CONT'D ON SHEET:
22 DATE:
N/A T Rtd T+err 530.8 530.8 r***:;;;á:â*t 0
CALC NO.:
ORIGINATO-R Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 3
-DATE:
2/14/2017 J3EV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
I DATE:
3/13/2017 1
VERIFIER:
IN/A 7.2.4.4 Reactor Water Cleanup Flow Error due to Differential Pressure (DP) Loop Uncertainty (RWCUdp)
This error is introduced by the differential pressure instrument loop. The uncertainties in the loop are found in:
Ref.: 3.4.10 The loop is comprised of 1) flow transmitter, FT, 2) NUMAC computer. The uncertainties are in % DP span:
The flow error is the difference-between the rated flow minus Jhe flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error Accuracy:
Loop Drift:
RWCU_AFT RWCU_ANU_IE RWCU_ANU_A/D RWCU_VDFT RWCU_VDNU_IE RWCU_VDNU_A/D 0.503%
0.100%
0.233%
0.900%
0.127%
0.127%
Loop Calibration:
RWCU CEFT I RWCU GENU AID 0.139%
0.02%
The uncertainties are random and independent and combined by the SRSS method:
1._09%lspan DP I
Flow+err = C X K X (DP+err)A0.5 K = 9448.61 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 189797.2 LB/HR 500 GPM C Rtd C+err 1.0000 1.0000 0.00% t5::t 0
P Rtd r
1114.7 47.3259 Calib inWC = 403.50 Assumed Calib Temp = 530.80 Assumed Calib Press = 1 114.70 r = 47.326 Assumed Rated Flow = 148000 LB/HR Rated h = 524.95 btu/lb DP Rtd I
DP+err I
Fa Rtd I
245.35191 249.73371 1.00871 h
Flowrated+err
524.951 149,316 I
Uncertainty I
RWCIJdp = 1:315.7 lb/hr I
Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 389 GPM Fa+err I
1.00871 (Note)
T Rtd 530.8 SHEET:
22 I
CONT'D ON SHEET:
23 1
DATE:
I N/A T+err 530.8
z 0
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.5 Reactor Water Cleanup Flow Error due to Signal Conditioning/NSSS Computer Loop Uncertainty (RWCUNSSS_cptr)
The differential pressure is converted to flow by the Numac computer and retransmitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1 ) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
RWCU ANU 0/A RWCU AA/0 0.233%
0.188%
Loop Calibration:
RWCU CENU 0/A I RWCU CEA/0 0.02%
0.188%
Loop Drift:
RWCU VDNU 0/A 0.13%
The uncertainties are random and independent and combined by the SRSS method:
C

o:38% !span FLOW I

The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCU NSSS_cptr = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd 1.0087 1.0045 C+err DP Rtd K = 9448.61 Calib Flow = 1 89797.2 1b/hr Calib inWC = 403.50 Assumed Calib Temp = 530.80 Assumed Calib Press = 1 1 1 4.70 r = 47.33 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb I
DP+err I
Fa Rtd I
1.0000 1.0000 245.35191 245.351 91 1.00871 0.00% IP'!
0 P Rtd r
1 1 14.7 h
Flow 524.95 148,714.0 Uncertainty RWCUNSSS_cptr= 713.7 lb/hr Note: This value is slightly different to the 1 89,197 lb/hr calculated in the reference due to rounding RWCU VNA/0 0.000%
500 GPM (Note) 389 GPM Fa+err I
T Rtd 1.00871 T+err 530.8 530.8 I':::':':J;)i 0
23 24 DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/1412017 John Wilkens 3/13/201 7 7.2.4.6 Reactor Water Cleanup Total Flow due to Flow Lo0p Uncertainties (RWCUt)
RWCU Inlet h - Outlet h.
The total RWCU Flow Uncertainty is calculated below:
RWCUfu =+/-SQRT(RWCUPMA 1 A2+RWCUcA2+RWCUdpA2+RWCUNSSS _cptrA2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since the negative uncertainty is the one that has impact in the heat balance calculations, that is, that (-) less indication means that power is higher; however, it will be factored in both directions for simplicity.
I RWCUtu = 3710 lb/hr I
Then, the heat error contribution is the calculated inlet flow heat error minus the outlet fl0w heat error:
RWCUh_in = 525.08 btu/lb RWCUh_out = 412.75 btu/lb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWt_BTU_hr (conversion factor) ] I Rated MWt 1 00%
I RWCUt = 0.0032%
lThis total error will be treated as bias in the total heat balance error SHEET:
24 CONTD ON SHEET:
25 DATE:
N/A
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 211412017 John Wilkens 311312017 NIA 7.2.4.7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
This error is the error resultant of temperature measurement errors by the inletloutlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication.errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out.
Finally, since most of the thermocouples loop error is a bias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3.4.6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 I 3840 x 100%
In flow heat TRtd 530.8 Error (F)
Out flow heat TRtd 433.9 Error (F) 10.9 T+err 541.7 10.9 T+err 444.8 P Rtd I
h rated I
1 020 I
525.08 I
P Rtd I
h rated I
1 020 I
412.75 I
Error h+err 538.82 h+err 424.78 I
I l
I Flow I
148,0001 Flow 1
148,0001 J
3,813,231 !BTU!hr error at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUht = 0.0291%
This error is a bias 25 26 DATE:
NIA
I I
I I
(NCDE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 NIA 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (RWCUhp)
The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the water enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout - hout+error ) ] ] x 2.93E-07 I 3840 x 100%
In flow heat P Rtd P+err 1020 1 040.2 Error (psi) 20.2 Out flow heat P Rtd P+err 1 020 1 040.2 Error (psi)
. 202 TRtd I
h rated I
h+err I
530.8 I
525.08 I
525.05 I
TRtd I
h rated I
h+err I
433.9 I
412.75 I
412.77 I
Error 6,681 BTU!hr at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUhp = 0.00005%
Flow I
148,000 J Flow J
148,ooo I SHEET:
26 CONT'D ON SHEET:
27 DATE:
N/A
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 3 REV:
5 ORIGINATOR:
DATE:
REVIEWER:
Michael Miller 2/14/2017 John Wilkens 7.2.5 Recirculation Pumps Heat Error due to Watts Loop Uncertainty (RRPw)
This section calculates the uncertainty due to RRP watts loop error, calculated in:
Ref.: 3.4.11 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3)
REF:
VERIFIER:
N/A There are two recirculation pumps, the calculated error below is per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtd/pump + MW Loop Span x Span err ) x Mottor eff ] - W Rtd/pump x Motor eff ] I 3840 x 100%
I W Rtd/pmp+err l
3.823 Motor Eff W+err 0.93 3.55 Error =l1.50 % span Span =l:t0',$!',1f£.;%x::;;;;;;<J<!
ITTTMwat 3.41 IMwatt Error 0.1465 Mwatt Uncertainty in Rated MWT RRPw = 0.0038%
SHEET:
27 CONT'D ON SHEET:
28 DATE:
N/A
I I
(NC.DE-AP.ZZ-0002(0). Rev. 12, Form 2)
SC-BB-0525 Attachment 3 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller T;:/2017 7.2.6 Thermal Loses CTL)
REV:
TREVIEWER:
_IJohn Wilkens 5
REF:
j;;/2017 This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a ftXed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
W Rtd W+err 1.1 1.32 Error = 2000%
TTL Mwatt Heat l
1.32 MW 1.1 0 MW at rated conditions Error 0.2200 MW error at rated radiated loses t:certainty in Rated MWT.
I This error is treated as bias.
Tl = 0.006%
TVERIFIER:
N/A Note: The computer utilizes this value combined with Other System Loses (Section 7.2.7) as Radiative power loses. ORAD = 1.94 SHEET:
28 CONTD ON SHEET:
29 I DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
SC-BB-0525 Attachment 3 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1:/2017 7.2.7 Other System Loses (OSL)
REV: 'REVIEWER:
John Wilkens 5
REF: 'DATE:
3/13/2017
'VERIFIER:
N/A The rated value includes Rod Drive seal purge flow to recirculation pumps. An assumed error equal to 20% of the specified loses is used.
This error will be treated as a bias error since if the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
The rated Losses figure is from reference:
(Ref. 3.4.2)
W Rtd W+err 1.1 8 1.416 Error = 20%
ITTL Mwatt Heat I
1.42 MW 1. 1 8 MW at rated conditions Error 0.2360 MW error at rated radiated loses I
Uncertainty in Rated MWT I
This error is treated as bias.
OSL = 0.006%
Note: The computer utilizes this value combined with Thermal Loses (Section 7.2.6) as Radiative power loses, ORAD = 1.94 SHEET:
29 CONT'D ON SHEET:
30 I
DATE:
N/A 1Rev 5 1 Rev 5 IRev 5 1Rev 5 1 Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller
¥=/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U)
REV:
J REVIEWER:
John Wilkens 5
REF:
J DATE:
3/13/2017
!VERIFIER:
N/A The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL +Miscellaneous Summary of Heat Balance Calculation Contributing Errors:
Random Errors:
FWm - 0.4507%
FWht = 0.2144%
MSm = 1.3099%
MSmoist = 0.0000%
CRDc = 0.0054%
CRDdp = 0.0062%
RRPw = 0.0038%
RWCUp SW = 0.0001%
Dependent Errors:
Errors Variable FWhp = 0.0007%
Rated MS pressure = 1 020 psia MShp = 0.0294%
CRDhp = -0.00006%
RWCUhp = 0.00005%
Bias Errors:
CRDt = -0.0012%
CRDht = -0.0097%
RWCUf = 0.0032%
RWCUht = 0.0291%
TL = 0.006%
OSL = 0.006%
Heat Balance Calculation Power Error (U):
Power Error = SQRT[(MSm-FWm)"-2+(MShp-FWhp+CRDhp+RWCUhp)"-2+FWhtA2+MSmoistt..2+CRDc"2+CRDdp"-2+
+RWCUp_sw"-2+RRPwA2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 0.919%
SHEET:
30 CONTD ON SHEET:
31 U:
Rev 5 1 Rev 5 1Rev 5 To ensure operation margin exist, due to possible instrumentation loops miss-cafibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 2.0% (SET POWER U) - Power Error Margin = 1.081%
and Power U = 2.000%
1Rev 5
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 3 I
DATE:
_ 2/14/2017 8.0
SUMMARY
REV:
I REVIEWER:
lJohn Wilkens CALCULATION CONTINUATION SHEET 5
REF:
I DATE:
13/13/2017
!VERIFIER:
_lNtA The calculated Heat Balance Error performed in this calculation is applicable to the hand calculation error when determined process values and steam tables heat values are used with an accuracy of 3 decimal places. This results are applicable to hand calculated heat balance since less hardware errors are involved in the hand calculation, data collection. The Heat Balance calculation error (Section 7.0) is:
Power U = 2.000%
SHEET:
31 CONTD ON SHEET:
N/A l-:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.. :
SC-BB-0525 Attachment 4 REV:
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CONT'D ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
MiChael Miller 2/1412017 John Wilkens 3113/2017 N/A Sections 1 through 4 have been replaced with th*e main body of the calculatior 5.0 DESIGN INPUTS 5.1 Rated Power Conditions 1 00% rated Power Conditions are listed below. Actual 1 00% operation values might be used in lieu of rated nominal values, for other than Rated MWt, Feedwater Flow and Main Steam parameters as deemed ap_propriate. This is found acceptable, since for the-purpose of error determination to rated MWt "heat differential errors", actual heat contribution deviation from measured/calculated heat to rated MWt due to instrumentation uncertainties, is required not the actual deviation value.
Rated MWt = 3902MW (Ref. 3.4.19, 3.2.5, Att. 8)
Rated FW flow= 1.4962E+071bm/hr (Ref. 3.4.19, Att. 8)
Rated FW temperature = 331.5 F (Ref. 3.4.19, Att. 8)
Rated MS flow= 14994000 (Ref. 3.4.19, Att. 8)
Rated MS pressure= 1001 psia (Ref. 3A.19, Att.. 8)
Rated MS quality = 100.000 (Ref. 3.4.1)
Rated RWCU flow= 148000.0 lb/hr (Ref. 3.4.19, Att. 8)
Rated RWCU temperature= 517.8 F (Ref. 3.4.19, Att.. 8)
Rated RWCU return temperature= 419.2 F (Ref. 3.4.19, Att. 8)
Rated CRD flow= 32000.0 lb/hr
{Ref. 3.4.3, 3.4.18)
CRD Calibration pressure = 1474.0 psia (Ref. 3.4.5)
Rated CRD temperature= 77 F (Ref. 3.4.19, Att. 8)
Radiation Loses= 1.10MW (Ref. 3.4.2, 3.4.19)
Other System Loses= 1.18MW (Ref. 3.4.2, 3.4.19) Note: These loses are not included in UFSAR Heat Balance, Ref. 3.1.1 MWt/BTU/hr = 2.9300E-07 (Ref. 3.4.1)
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Notes:
1 ) This calculation uses rated MS quality of 100.00%, which will produce a more conservative number with respect to the actual plantMS quality.
6.0 ASSUMPTIONS This parameter may be revised when the actual MS quality is measured after the implementation of EPU.
2) This calculation specifies radiation loses as 1.1 0 MW and other loses as 0.84 MW for the total lose of 1.94 MW. Reference 3.4. 17 stated "other system loses" as 1.9 MW without specifically accountin9 for Radiation loses. Since the two total numbers are almost identical and the difference would have _negllgible affect on the Power Error, radiation loses of 1.10 MW and the other loses of 0.84 MW will be maintained.
See sections 7.2.3, 7.2.4, 7.2.6 and 7.2.7 for specific assumptions.
1 2
DATE:
N1A Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 4 CALCULATION CONTINUATION SHEET CALC NO" ORIGINATOR:
Michael Miller 7.0 CALCULATIONS 7.1 Methodology I DATE:
2/14/2017 REV:
5 REF:
I REVIEWER:
John Wilkens U3/412017 I VERIFIER:
N/A The methodology used to combine the uncertainties for the different contributors to the heat balance calculation is the square root of the sum of the squares of those uncertainties which are statistically independent. Then algebraically combined with the those errors that are systematic, or bias. The uncertainties are considered to be random, two sided distributions. This methodology has been utilized before, and has been endorsed by the NRC and various industry standards (Ref. 3.4.12-3.4.14).
The uncertainty calculation combines the different errors from the different parameters contributing to the heat balance in accordance to the heat balance equation. The contributing parameters errors are taken from the specific system uncertainty calculation.
These errors are generally classified in two groups:
a) Instrument loop(s) uncertainty b) Process effects The individual uncertainties affecting the heat balance calculation are determined by the application of the corresponding process algorithm, as described below:
SHEET:
2 CONTD ON SHEET:
3 DATE:
N/A Rev S a) the appropriate algorithm for the specific process parameter is set in the form to its specific contribution to the heat balance at specified rated conditions, b) subsequently, the instrumentation loop error is factored in the process algorithm to calculate the corresponding process parameter with the error buift-in, c) the difference of the calculated contributed process parameter heat, with error, to the rated process rated heat is then calculated, d) the resultant heat error contribution is then divided by the rated 100% power thermal megawatts. The result is the error contribution by the specific process to the total heat balance uncertainty, e) finally, all the calculated heat errors are combined in accordance to their parameter function in the heat balance equation. The resultant combination of all contributing errors is the Heat Balance Uncertainty.
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 4 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 1:/2017 7.2 Uncertainties Calculation 7.2.1 Main Feedwater Uncertaintv(ies)
REV:
IREVJEWER:
John Wilkens 5
REF:
I DATE:
3/13/2017
!VERIFIER:
N/A The Main Feedwater uncertainties are included in the total thermal power uncertainty provided by the LEPM is 0.34% per Reference 3.4.20.
This includes the Main Feedwater mass flow error, main feedwater heat enthalpy error, and the Main Steam mass flow error Referring to the schemo.tic drawing in section 4.0, it can be seen that the Main Feedwater heat contribution is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) flow, 2) temperature, and 3) pressure instrumentation loops error.
The error provided by the vendor for the ultrasonic flow meter already factors the corresponding temperature and pressure loops effect b) Feedwater Enthalpy determination affected by: 1) temperature*, and 2) pressure, instrumentation loops error.
The main feedwater enthalpy is calculated using the following signals:
- Feedwater Pressure and Main Feedwater Temperature 7.2.1.1 Main Feedwater Mass Flow Heat Error due to Flow Element Uncertainty fWm)
Deleted 7.2.1.2 Main Feedwater Heat Enthalpy Error due to Pressure Loop Uncertainty fWhp)
Deleted 7.2.1.3 Main Feedwater Heat Enthalpy Error due to Temperature Loop Uncertainty fWht)
Deleted SHEET:
3 CONT'D ON SHEET:
4 DATE:
N/A Rev S
(NC.DE-AP.ZZ-0002(0}, Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
4 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
5 ORIGINATOR:
1;/2017
!.REVIEWER:
cdATE:
eVERIFIER:
DATE:
Michael Miller John Wilkens 3/13/2017 N/A N/A 7.2.2 Main Steam Flow Uncertaintv(ies)
Rev S Referring to the schematic drawing in section 4.0, It can be seen that the Main Steam heat contribution is affected by the following parameters:
a) The calculated Main Steam Heat is affected by the mass flow measurement error (see section 7.2.1.1 Main Feedwater Mass Error).
b) Main Steam Enthalpy determination is affected by the pressure instrumentation loop error, documented in calculation:
Ref. 3.4.4 7.2.2.1 Main Steam Mass Flow Heat Error due to Main Feedwater Flow Uncertainty {1/lSm)
Deleted
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
5 CALC NO.;
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
6 ORlGINATOR:
DATE:
REVIEWER:
1:/2017 1
ERIFIER

DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2_2.2 Main Steam Heat Enthalpy Error due to Pressure Loop Uncertainty 4V(Shp)
Rev S This Section calculates the Main Heat Steam enthalpy error due to the loop pressure uncertainty, documented in:
Ref.: 3.4.4 The heat error is the difference in the Main Steam flow heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
MShp = [ Flow (hrated - hrated+err) ] x 2.93E-07 I 3902 x 100%
PRtd P+err Moist Rtd Moist+err h rated I
h+err I
flow I
1000.69 1 006.79 100 100.000 1 1 92.91 1 1 192.691 14,994,ooo I Error (psi) -
6.1 0
l:l TTLMS Heat 17,883,129,657 BTU/hr 17,886,503,873 BTU/hr at rated conditions Error 3,37 4,216 BTUlhr error at rated main feedwater flow I Error in Rated MWt MShp = 0.0253%
I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
6 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
7 ORIGINATOR:
DATE:
REVIEWER:
/7ATE:
!VERIFIER:
DATE:
Michael Miller 2/1412017 John Wilkens 311312017 N1A N1A 7.2.2.3. Main Steam Moisture Heat Enthalpy Error due to Steam Moisture Uncertainty (VISmoist)
Rev S This section calculates the Main Steam enthalpy error due to MS moisture uncertainty. The uncertainty is conservatively set to 50% of rated moisture content of 0.0%.
The heat error is the difference in the Main Steam flow heat content at rated flow and moisture conditions minus the heat content at rated moisture conditions plus moisture error:
MSmoist = [ Flowrated hrated {hmoist-rated - hmoist-rated+err) ] x 2.93E-07 1 3902 x 100%
P Rtd P+err Moist Rtd Moist+err h rated I
h+err I
Flow I
1 000.69 1 000.69 100 100.0000 1 1 92.911 1 1 92.91 1 14,994,ooo I 0.00000 0.00%
£'::.';'":1. Qi < ':' ' i TTL MS Heat 17,886,503,873 BTU/hr 17,886,503,873 BTU/hr at rated conditions Error - BTU!hr error at rated main feedwater flow I Error in Rated MWt MSmoist = 0.0000%
I
CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-88-0525 Attachment 4 REV:
ORIGINATOR:
Michael Miller 7.2.3 Control Rod Drive Flow I DATE:
2/14/2017 I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET SHEET:
7

CONTD ON SHEET:

8 I
5 REF:
N/A 1;:/2017 I VERIFIER:
N/A DATE:
Rev 5 Referring to the schematic drawing in section 4.0, it can be seen that CRD flow is not monitored for pressure or temperature.
The CRD calculated heat is affected by the following effects:
a) Mass Flow Measurement affected by: 1) flow, instrumentation loop effect and 2) temperature, and 3) pressure deviation from calibration values b) The CRD Enthalpy determination is affected by: 1) temperature, from applied constants, and 2) pressure, from reactor pressure loop error The CRD flow loop errors are documented in calculation:
Ref. 3.4.5 The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow= C*Fa*K*(DP*r)A0.5 where K is calculated below:
K = Calib Flow/(Calib inWC
Calib r )A0.5
I (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
!VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.1 Control Rod Drive Flow Heat Error due to Flow Element and Fluid Specific Weight Uncertainty due to Temperature Error 9RDt)
The uncertainty is dependent for the following variables:
Fa = FE Thermal Expansion r = Fluid Specific Weight The plant computer calculates the CRD flow with a constant flow K factor. However, the actual temperature could vary as much as 43F from the expected 77F, and this impacts the Fa and r impacting the calculated flow; therefore, the effect due to this temperature deviation is:
CRDt = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3902 x 100%
Ref.: 3.4.5 K = 448.48 Calib Flow = 50154 lb/hr 100 GPM Fa Error Calib inWC = 200 Rated 77F 1.0003 Calib Temp = 77
@140 F 1.0013 Calib Press = 1474.7
@40 F 0.9995 r = 62.529 Fa/F 1.8E-05 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1001 psia Rated Temp = 77 F Rated h = 47.78 btu/lb CRtd C+err DP Rtd DP+err Fa Rtd Fa+err I
1.0000 1.0000 81.3694 81.3694 1.0003 1.001 11 0.00% :::=':!
0 0.00% 1\\""i\\:'*1 0
T Rtd Temp error-Calib Temp-Min Temp P Rtd I
r I
h Rtd Flow I
hs Rtd 1000.691 61.8993 47.78 31,862.980 I 1 1 92.91 TTL CRD Heat 36,487,315 BTU/hr 36,644,221 BTU/hr at rated conditions Error (156,906) BTU/hr error at rated CRD flow SHEET:
CONTD ON SHEET:
T+err 120 77 t'*'''"!"'*"*"*
3 I Error in Rated MWt CRDt = -0.0012%
!This error is a bias, not a random instrument induced uncertainty.
8 i
9 I
DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC"BB-0525 Atrnr-hm..
nt 4 CALCULATION CONTINUATION SHEET CALC_ NO.:

REV:

5 REF:
Michael Miller 7.2.3.2 Control Rod Drive Flow Heat Error due to Flow Element Uncertainty ROc)
The CRD contributed heat is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3A5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDc = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 / 3902 x 1 00%
Fa Error Rated 77F
@1 40 F
@60 F Fa/F P Rtd 1 000.69 1.0003 1.0013 0.9995 1.8E-05 K = 448.48 Calib Flow = 501 54 Calib inWC = 200.00 Assumed Calib Temp = 77.00 Assumed Calib Press = 1 474.00 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr h Rtd Flow 32,61 6.541 TTLMFWHeat 37,350,2421BTU/hr hs Rtd 1 1 92.91 36,644,221 BTU/hr at rated conditions Error 706,021 BTU!hr error at rated CRD flow r..
Error in Rated MWt CRDc = 0.0053%
1 00.00 0.0159925 CONT'D ON 5
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
10 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
11 ORIGINATOR:
¿/2017 IfEVIEWER:
12017
!VERIFIER:
DATE:
Michael Miller John Wilkens N/A N/A 7.2.3.3 Control Rod Drive Heat Error due to Differential Pressure (DP) Loop Uncertainty (CRDdp)
Rev 5 This error is calculated in calculation:
Ref.: 3.4.5 The loop is comprised of 1) flow transmitter, FT, 2) resistor, REST, 3) computer analog to digital card, AID.
The uncertainties are in % DP span:
Accuracy:
Loop Drift:
CRD AFT I
CRD AREST I
CRD AAID I
CRD VDFT I
CRD VDA/D I
1.154%
I 0.100%
I 0.188%
I 1.450%
I 0.000%1 Loop Calibration:
I CRD CEFT I CRD CEA/D I 0.140%
0.188%
The uncertainties are random and independent and combined by the SRSS method:
I 1.88%lspan DP I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
£ATe; IzEVlEWER:
I DATE:
IVERJFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDdp = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3902 x 100%
Fa Error K = 448.51 Rated 77F 1.0003 Calib Flow = 50157.2 lb/hr
@140 F 1.0013 Calib inWC = 200
@60 F 0.9995 Assumed Calib Temp = 77 Fa/F 1.8E-05 Assumed Calib Press = 1474 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1000.7 1blhr Rated Temp*= 77 F CRDh rated = 47.78 btu/lb CRtd I
C+err I
DP Rtd I
DP+err I
Fa Rtd I
1.00001 1.00001 81.35841 85.11831 1.00031 O.OO%IJ Ol 1.88% 1[;::;:;:';::1 I
P Rtd I
r I
CRDh rated I Flowrated+err I*
hs Rtd I
1000.691 62.43961 47.781 32,707.575 I 1 1 92.91 1 ITTL MFW Heat II 37,454,488 BTU/hr 36,644,221 BTU/hr at rated conditions Error 810,267 BTU/hr at rated CRD flow
'Error in Rated MWt CRDdp = 0.0061%
I 100 GPM Fa+err I
1.00031 T Rtd SHEET:
11 CONT'D ON SHEET:
12 DATE:
N/A Rev S T+err 77 77 ill!'::=:'::
0
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
12 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
13 ORIGINATOR:
1:¿/2017 rEVIEWER:
kATE:
VERIFIER:
DATE:
Michael Miller John Wilkens 3/13/2017 N/A N/A 7.2.3.4 Control Rod Drive Flow Enthalpy Heat Error due to Temperature Calibration Deviation RDht)
Rev S The plant computer calculates the CRD fluid enthalpy at a constant 77F and reactor pressure. However, the actual temperature varies and it is assumed to vary as much as 43F from the expected 77F; therefore, the effect due to this temperature deviation in the calculated enthalpy is:
Ref. 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDht = [ Flow (hs rated - CRDh rated) - Flow ( hs rated - CRDh rated+err ) ] x 2.93E-07 I 3902 x 100%
TRtd I T Max/Min I
T+err I
P Rtd I
h rated I
h+err I
hs rated I
Flow 77 I
40 I
37 I
1000.69 I
47.78 I
7.99 I
1 1 92.91 I
32,000 I TTL RWCU Heat 1, 37,917,380 BTU/hr 36,644,221 BTU/hr at rated conditions Error (1,273,159) BTU/hr at rated CRD flow Uncertainty in Rated MWt CRDht = -0.0096%
IThis error is a bias, not a random instrument induced uncertainty.
(NC.DE-AP.ZZ0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
13 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
. CONTD ON SHEET:
14 ORIGINATOR:
DATE:
!.REVIEWER:
ATE:
IyERIFIER:
DATE:
Michael Miller
.2114/2017 John Wilkens 3/13/2017 N/A N/A 7.2.3.5 Control Rod Drive Flow Enthalpy Heat Error due to Pressure Loop Uncertainty RDhp)
Rev 5 The plant computer calculates the CRD fluid enthalpy at a constant 77Fand reactor loop pressure, that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference ir\\ the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDhp = [ Flow (hs rated - CRDh rated) - Flow ( hs rated+err - CRDh rated ) ] x 2.93E-07 I 3902 x 100%
P Rtd P+err TRtd I CRDh rated I hs rated I hs rated+err I
Flow I
1000.69 1006.79 77 I
47.78 I
1192.91 I
1 1 92.691 32,oool Error {psi) = 6.1 TTL MFW Heat J
36,637,020 IBTU/hr 36,644,221 BTU/hr at rated conditions Error (7,201) BTU/hr at rated CRD flow I Uncertainty in Rated MWt
. CRDhp = -0.00005%
I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
14 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
15 ORIGINATOR:
1:12017
¥VIEWER:
¥ATE:
rERIFIER:
DATE:
Michael Miller John Wilkens 3/13/2017 N/A N/A 7.2.4 Reactor Water C!eanu12 Uncertain:!Y(ies)
Rev S Referring to the schematic drawing in section 4.0, it can be seen that RWCU flow is measured and mass calculated by a "NUMAC" process unit.
Differential pressure, temperature, by dedicated thermocouples, and reactor pressure are an input to the instrument. Therefore, the RWCU contributed heat is affected by the following parameters:
a) Mass Flow Measurement affected by: 1 ) flow, 2) temperature, and 3) pressure induced factors/instrumentation loops errors b) The RWCU Enthalpy determination is affected by: 1 ) temperature instrumentation loop error (see discussion for pressure)
The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*K*(DP)A0.5 where K is:
K = Calib Flow I [ C*(Calib inWC)A0.5]
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
15 CALC NO.:
SC-88"0525 Attachment 4 REV:
5 REF:
CONT'D ON SHEET:
16 ORIGINATOR:
DATE:
REVIEWER:
I DATE:
IgERIFIER:
DATE:
Michael Miller 2/1412017 John Wilkens 311312017 NIA NIA 7.2.4.1 RWCU Inlet/Outlet Flow Heat Error due to Flow Element Expansion deviation from Calibration 0WCUFa)
Rev S The Numac computer calculating the mass flow has a built-in Fa constant different than the flow element Fa provided at the calculated venturi rated temperature of 533F. This induces a bias error. Furthermore, the plant NUMAC normalizes the flow mass signal to a specific weight of 47.0 lbm/cuft for pressure and temperature conditions, back calculated below; therefore, the rated conoitions are set at 530.7F.
Pressure Density Compensated to :
48.01 lb/cuft 517.8 F 908 [lSia The Fa used in the calculation is fixed to:
1.0045 The correct Fa at rated 533 F is:
1.0087 Based on the Fa differences the induced flow error is calculated below:
Fa = FE Thermal Expansion Ref.: 3A.10 Flow+err = C x Fa+err I Fa x K x (DP)A0.5 K= 9449.90 Calib Flow = 189823.1 lb/hr 500GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1114.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 389GPM Rated h = 524.83 btu/lb CRto C+err DPRtd DP+err Fa Rtd l
Fa+err l
TRtd T+err 1.0000 1.0000 245.3520 245.3520 1.00871 1.00451 530.7 530.7 0.00% b'l:l!r:f!
0 0.00% l :::fj 0
0 P Rtd P+err r
h Rtd Flow+err I
1 1 14.7 11 14.7 47.3324 524.83 147,404 1 l:!p::l\\i!iti_
0 I
Uncertainty IThis a bias and the actual contributed Heat is Higher than indicated RWCUFa -616.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
1;3/4;/2017 rERIFIER:
Michael Miller 2/14/2017 John Wilkens N/A 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight deviation (RWCUPMA)
This error is the combination of several uncertainties calculated below:
7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac Lookup Tables Error (RWCUPMA1)
The Numac performs the fluid specific weight determination with an error of 0.1 specific weight, this effect in the flow is calculated below.
r = Fluid Specific Weight Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA1 = Flowrated - Flowrated+error K= 9449.90 Calib Flow = 189823.1 lb/hr 500 GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 388.8 GPM Rated hout = 524.83 btu!lb CRtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 0.00% li:'::::Z:'.:"':l 0
0.00% I :*::* Z ;l 0
P Rtd P+err r
Numac err r+perr+Numac I h Rtd I
1 114.7 1 1 14.7 psi 47.332 0.1 47.4321 524.831 I
0 psi I
Uncertainty I
RWCUPMA1 = 156.3lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding T Rtd Flow
_I 530.71 I
148,177 I SHEET:
16 CONTD ON SHEET:
17 DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525Attachment 4 REV:
5 REF:
ORIGINATOR:
1;W/2017 rEVIEWER:
1;/2017
!VERIFIER:
Michael Miller John Wilkens N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error WCUPMA2)
The Numac computer introduces a 0. 75 factor to the input pressure *raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error. is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCU PMA2 = Flowrated - Flowrated+error r = Fluid Specific Weight K= 9449.90 Calib Flow = 189823.1 lb/hr 500 GPM Fa*Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 388.8 GPM Rated = 524.83 btu/lb CRtd C+err I
DP Rtd I
DP+err I
FaRtd I
Fa+err I
1.000()
1.00001 245.3520!.
245.3520!
1.00871 1.0087!
0.00% I§E0:ii"\\
Ol 0.00%1 !:
Ol (Note)
T Rtd SHEET:
CONTD ON SHEET:
I h Rtd return 530.7!
396.68 P Rtd P+err I
T Sat I
r+perr I Numac rerr I r+perr+Numac I h Rtdout*
I 1 11 4.7 840 psi I
523.8 I
47.58951 ol 47.5895!
524.83!
75%
1:.:² 751 I
lThis a bias and the actual contributed Heat is Higher than indicated Uncertainty RWCUPMA2 = -402 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 17 18 DATE:
N/A Rev 5 Flow I
148,422 J
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
/7ATE:
I;ERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight Pressure Loop Uncertainty (RWCUP _SW)
Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop uncertainty combined with the Numac computer uncertainty introduces an error in the calculated specific weight.
The loop error is comprised of 1) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
IRWCUpress error=l21 QSi I
Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)"0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Flowrated+error ( h_in - h_out) ] x 2.93E-07 I 3902 x 100%
r = Fluid Specific Weight K= 9449.90 Calib Flow = 189823.1 lb/hr 500 GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 388.8 GPM Rated h = 524.83 btu/lb CRtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
T Rtd in 1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 0.00%
P Rtd ti * ;!F"'3 P+err 0
0.00%
r+perr
[,:;;,;;:.. )
0 Numac rerr r+perr+Numac I h Rtd in I
h Rtd out I
530.71 I
I 1000.69 1022 psi I
47.2689 0
47.26891 509.1 1 1 396.681 TTL MFWHeat 16,631,277 BTU!hr 1 6,642,445 BTU/hr at rated conditions Error 11,168 Uncertainty in Rated MWt RWCUp sw = 0.0001%
Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding SHEET:
18 CONTD ON SHEET:
19 DATE:
N/A Rev 5 T Rtd out 419.2 Flow 147,921
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
7ATE:
óVIEWER:
1;;¿12017 IERIFIER:
Michael Miller 2/14/2017 John Wilkens N/A 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.1 0 Flow+err = C+err x K x (DP)AO.S The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUc = Flowrated - Flowrated+error Fa Error K= 9449.90 Rated 533F 1.0087 Calib Flow = 1 89823.1 LB/HR 500 GPM (Note)
Calibrated 1.0045 CaHb inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr 389 GPM Rated h = 524.83 btu/lb CRtd C+err I
DP Rfd I
DP+err I
Fa Rtd I
Fa+err 1
1.0000 1.01501 245.35201 245.35201 1.00871 1.008if 1.50% IEii!'i=²! 150
,, I 0.00% l liii:,': ::l Oi f
p Rtd I
r 47.33241 h
524.81 Flow I
1 1 1 4.7.
150,241 :
I Uncertainty.
I RWCUc:::: 2220.3 lbfhr Note: This value is sllghtly different to the 189,197 lb/hr calculated in the reference due to rounding T Rtd 530.7 SHEET:
CONTD ON SHEET:
T+err 530.7 f.; c::Jf 0
19 20 DATE:
N/A Rev S
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:
I REVIEWER:
IDAT2 I
ERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.4 Reactor Water Cleanup Flow Error due to Differential Pressure (DP) Loop Uncertainty WCUdp)
This error is introduced by the differential pressure instrument loop. The uncertainties in the loop are found in:
Ref.: 3.4.1 0 The loop is comprised of 1) flow transmitter, FT, 2) NUMAC computer. The uncertainties are in % DP span:
The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error Accuracy:
Loop Drift:
RWCU AFT RWCU ANU IE I RWCU ANU AID I RWCU VDFT I RWCU VDNU IE IRWCU VDNU AID J 0.503%
0.100%
0.233%
I 0.900%
_L 0.127%
I 0.127%
I Loop Calibration:
RWCU CEFT RWCU GENU AID 0.139%
0.02%
The uncertainties are random and independent and combined by the SRSS method:
1.09%lspan DP I
Flow+err = C x K x (DP+err)A0.5 Fa Error K = 9449.90 Rated 533F 1.0087 Calib Flow = 189823.1 LB/HR 500 GPM Calibrated 1.0045 Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 LB/HR 389 GPM Rated h = 524.83 btu/lb CRtd C+err DP Rtd I
DP+err
.. L Fa Rtd I
Fa+err I
1.0000 1.0000 245.35201 249.73381 1.00871 1.00871 0.00% li*
0 P Rtd I
r I
h I Flowrated+err I 1 1 14.71 47.33241 524.831 149,336 I I
I Uncertainty RWCUdp = 1315.9 lblhr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding (Note)
T Rtd SHEET:
20 CONT'D ON SHEET:
21 DATE:
N/A Rev 5 T+err 530.7 530.7 0
I (NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-138-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
ORIGINATOR:
DATE:
IEVIEWER:
1;U;/2017 I:ERIFIER:
Michael Miller 2/14/2017 John Wilkens N/A 7 2.4.5 Reactor Water Cleanup Flow Error due to Signal Conditioning/NSSS Computer Loop Uncertainty 0WCUNSSS_cptr)
The differential pressure is converted to flow by the Numac computer and retranl?mitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
Loop Drift:
RWCU ANU D/A RWCU AA/D I IRWCU VDNU DIAl RWCU VNA/D I
0.233%
0.188%
I 0.13%
I 0.000%
I Loop Calibration:
RWCU GENU D/A I RWCU CEA/D I 0.02%
0.188%
The uncertainties are random and independent and combined by the SRSS method:
0.38%lspan FLOW I
The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCU NSSS _ cptr = Flowrated - Flowrated+error Fa Error K = 9449.90 Rated 533F 1.0087 Calib Row = 189823.1 lb/hr 500 GPM Calibrated 1.0045 Calib inWC = 403.50 Assumed Calib Jemp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 Jb/hr 389 GPM Rated h = 524.83 btu/lb CRtd C+err DPRtd I
DP+err I
Fa Rtd I
Fa+err I
1.0000 1.0000 245.35201 245.35201 1.00871 1.00871 0.00%.Ú;Ü 0
P Rtd r
I h
l Flow I
1 114.71 47.33241 524.831 148,734.3 I Uncertainty I
. RWCUNSSS_cptr= 713.8 lb/hr Note: This value is slightly different to the 1 89,197 lb/hr calculated in the reference due to rounding (Note)
T Rtd T+err 530.7 530.7 1'1lt 0
21 22 DATE:
N/A Rev 5
CALC NO.:
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 4 REV:
CALCULATION CONTINUATION SHEET SHEET:
22

CONT'D ON SHEET:

23 I 5
REF:
ORIGINATOR:
Michael Miller lDATE:
2/14/2017 I REVIEWER:
John Wilkens 7.2.4.6 Reactor Water Cleanup Total Flow due to Flow Loop Uncertainties (RWCUf)
RWCU Inlet h - Outlet h.
The total RWCU Flow Uncertainty is calculated below:
I DATE:
3/13/2017 RWCUfu =+/-SQRT(RWCUPMA1"2+RWCUc"2+RWCUdp"2+RWCUNSSS_cptr"2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since the negative uncertainty is the one that has impact in the heat TvERIFIER:
IN/A balance calculations, that is, that (-) less indication means that power is higher; however, it will be factored in both directions for simplicity.
[
RWCUfu - 3700 lb/hr I
Then, the heat error contribution is the calculated inlet flow heat error minus the outlet flow heat error:
RWCUh_]n = 509.1 1 btu/lb RWCUh_out = 396.68 btu/lb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWt_BTU_hr (conversion factor) ] I Rated MWt 100%
I RWCUf = 0.0031%
!This total error will be treated as bias in the total heat balance error DATE:
N/A Rev S
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
23 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
24 ORIGINATOR:
DATE:
IzEVIEWER:
1;/2017 I;ERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.4.7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
Rev 5 This error is the error resultant of temperature measurement errors by the inlet/outlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out Finally, since most of the thermocouples loop error is a bias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3A6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 I 3902 x 100%
In flow heat TRtd T+err P Rtd I
h rated I
h+err I
Flow I
517.8 528.7 1000.69 I
509.1 1 I
522:50 I
148,021 I Error (F)
Out flow heat TRtd T+err P Rtd I
h rated I
h+err I
Flow I
419.2 430.1 1000.69 I
396.68 I
408.57 I
148,021 I Error (F) 10.9 Error I
3.,741,117 IBTU/hr error at rated reactor water cleanup flow
'Uncertainty in Rated MWt RWCUht= 0.0281%
hhis error is a bias
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:
rEVIEWER:
S7AT I VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure Loop Uncertainty WCUhp)
The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the water enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout - hout+error ) ] ] x 2.93E-07 / 3902 x 100%
In flow heat P Rtd 1000.69 Error (psi)
Out flow heat P Rtd 1000.69 Error (psi)
P+err 1020.89 20.2 P+err 1020.89 20.2 TRtd l
h rated I
h+err I
517.8 I
509.1 1 I
509.09 I
TRtd I
h rated I
h+err I
4192 I
396.68 I
396.70 I
Error 5,764 BTU/hr at rated reactor water cleanup flow
'Uncertainty in Rated MWt RWCUhp = 0.00004%
I Flow I
148,ooo I Flow I
148,ooo 1 SHEET:
24 CONTD ON SHEET:
25 DATE:
N/A Rev S
(NC.DE-AP.ZZ-0002(0}, Rev. 12, Form 2}
SC*BB-0525 Att,...,hm.,nt 4 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller DATE:
2/14/2017 REV:
REVIEWER:
John Wilkens 7.2.5 Recirculation Pumps Heat Error due to Watts Loop Uncertainty (RRPw)
This section calculates the uncertainty due to *RRP watts loop error, calculated in:
Ref.: 3.4.1 1 5
REF:
IDATE:
_l3f13/2017 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3) lVERIFIER:
N/A There are two recirculation pumps, the calculated error below is per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtq/pump + MW Loop Span x Span err ) x Mottor eff ] - W Rtd/pump x Motor eff] / 3902 x 100%
I W Rtd/pmp+err I
3.823 Motor Eff W+err 0.93 3.55 Error.=l150;%;,span*****
Span ITTLMWlitt ----:1 IMwatt Error 0.1465 Mwatt
!Uncertainty in Rated MWT I
RRPw = 00038%
S.HEET:
25 CONTD ON SHEET:
26 DATE:
N/A Rev S
(NC.DE-AP.ZZ-0002(0}, Rev. 1 2, Form 2)
SC-BB-0525 Attachment 4 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.2.6 Thermal Loses (TL) lDATE:
2/14/2017 REV:
IREVIEWER:
John Wilkens 5
REF:
]DATE:
3/13/2017 This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
W Rtd l
W+err
_I 1.1L 1.321 Error =120.00%
_I ITTL 1\\/lwatt Heat l 1.32 MW 1.10 MW at rated conditions Error 0.2200 MW error at rated radiated loses
'Uncertainty TrlR.ated MW ---lThis error is treated as bias.
TL= 0.006%
}:::IER:
Note: The computer utilizes this value combined with Other System Loses (Section 7.2.7) as Radiative power loses, QRAD = 1.94 SHEET:
26 CONTD ON SHEET:
27 DATE:
N/A Rev S
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
ORIGINATOR:
DATE:-
lREVIEWER:
,¢£12017 IERIFIER:
Michael Miller 2/14/2017 John Wilkens N/A 7.2.7 Other System Loses (OSL)
The rated value includes Rod Drive seal purge flow to recirculation pun1ps. An assumed error equal to 20% of the specified loses is used.
This error will be treated as a bias error since if the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
The rated Losses figure is from reference:
(Ref. 3.4.2)
WRtd W+err 1.18 1.416 Error = 20%
ITTL Mwatt Heat 1.42.
IMw 1.18 MW at rated conditions Error 0.236_0 MW error at rated radiated loses
!Uncertainty in Rated MWT OSL = 0.006%
rhis error is treated as bias.
Note: The comp.11ter utilizes this valu_e combined with Thermal Loses (Section 7.2.6) as Radiative power loses, QRAD = 1.94 SHEET:
27 CONT'D ON SHEET:
28 DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 4 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller I DATE:
2/14/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U)
REV:
5 REF:
REVIEWER:
j;;;2017
'VERIFIER:
N/A John Wilkens The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power= MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Summary of Heat Balance Calculation Contributing Errors:
Random Errors:
Dependent Errors:
Bias Errors:
MSmoist = 0.0000%
CRDc = 0.0053%
CRDdp = 0.0061%
RRPw = 0.0038%
RWCUp_ sw = 0.0001%
Errors FWm = **
FWht = **
MSm = **
FWhp = **
MShp = 0.0253%
CRDhp = -0.00005%
RWCUhp = 0.00004%
CRDt = -0.0012%
CRDht = -0.0096%
RWCUf = 0.0031 %
RWCUht = 0.0281%
TL = 0.006%
OSL = 0.006%
Variable Rated MS pressure = 1001 psi a
Note that these terms are combined in reference 3.4.20 for an over all uncertainty of 0.34% for FWm, FWht and FWhp Heat Balance Calculation Power Error (U):
Power Error = SQRT[((0.0034)"2+(MShp+CRDhp+RWCUhp )"2+MSmoist"2+CRDc"2+CRDdp"2+
+RWCUp_sw"2+RRPw"2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 0.373%
SHEET:
28 CONTD ON SHEET:
29 DATE:
N/A Rev 5 To ensure operation margin exist, due to possible instrumentation loops miss-calibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 3840
102% -Rated Thermal Power - Power Error Margin = 3916.8 - 3902 - Power Error Margin = 0.006%
and Power U = 0.379%
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
29 CALC NO.:
SC-BB-0525 Attachment 4 REV:
5 REF:
CONTD ON SHEET:
N/A ORIGINATOR:
/2017 rEVIEWER:
,ATE:
,VERIFIER:
DATE:
Michael Mil1er John Wilkens 3/13/2017 N/A N/A 8.0
SUMMARY
Rev 5 The calculated Heat Balance Error performed.in this calculation is applicable to fully operational LEFM. The Power Uncertainty is the difference between the 2% design basis and the rated termal power for the current LEFM mode of operation. Positive margin is maintained between the Power Uncertainty and the Power Error. The Heat Balance calculation error (Section 7.0) is:
Power U = 0.379%
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 5 CALCULATION CONTINUATION SHEET SHEET:
1 CALC NO.:
REV:
5 REF:
CONTD ON SHEET:
2 ORIGINATOR:
TDATE:
Michael Miller 12114/2017 I REVIEWER:
John Wilkens 1;/2017
'VERIFIER:
N/A Sections 1 through 4 have been replaced with the main body of the calculatior 5.0 DESIGN INPUTS 5.1 Rated Power Conditions 100% rated Power Conditions are listed below. Actual 100% operation values might be used in lieu of rated nominal values, for other than Rated MWt, Feedwater Flow and Main Steam parameters as deemed appropriate. This is found acceptable, since for the purpose of error determination to rated MWt "heat differential errors", actual heat contribution deviation from measured/calculated heat to rated MWt due to instrumentation uncertainties, is required not the actual deviation value.
Rated MWt = 3889MW This power level is set at the highest whole MWt power level which produces positive margin Rated FW flow= 1.4962E+071bm/hr (Ref. 3.4.19, Att. 8)
Rated FW temperature= 331.5 F (Ref. 3.4.19, Att. 8)
Rated MS flow= 14994000 (Ref. 3.4.19, Att. 8)
Rated MS pressure = 1001 psi a (Ref. 3.4.19, Att. 8)
Rated MS quality = 100.000 (Ref. 3.4.1)
Rated RWCU flow= 148000.0 lb/hr (Ref. 3.4.19, Att. 8)
Rated RWCU temperature= 517.8 F (Ref. 3.4.19, Att. 8)
Rated RWCU return temperature= 419.2 F (Ref. 3.4.19, Att. 8)
Notes:
Rated CRD flow= 32000.0 lb/hr (Ref. 3.4.3, 3.4.18)
CRD Calibration pressure= 1474.0 psia (Ref. 3.4.5)
Rated CRD temperature= 77 F (Ref. 3.4.19, Att. 8)
Radiation Loses= 1.10MW (Ref. 3.4.2, 3.4.19)
Other System Loses = 1.18MW (Ref. 3.4.2, 3.4.19) Note: These loses are not included in UFSAR Heat Balance, Ref. 3.1.1 MWt/BTU/hr = 2.9300E-07 (Ref. 3.4.1)
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous
1) This calculation uses rated MS quality of 100.00%, which will produce a more conservative number with respect to the actual plant MS quality.
This parameter may be revised when the actual MS quality is measured after the implementation of EPU.
2) This calculation specifies radiation loses as 1.10 MW and other loses as 0.84 MW for the total lose of 1.94 MW. Reference 3.4.1 7 stated "other system loses" as 1.9 MW without specifically accounting for Radiation loses. Since the two total numbers are almost identical and the difference would have negligible affect on the Power Error, radiation loses of 1.10 MW and the other loses of 0.84 MW will be maintained.
6.0 ASSUMPTIONS The Main Feedwater uncertainties is included in the total termal power uncertainty provided by the LEFM while in mantenance mode is 0.66% per Reference 3.4.20 is provided based on a power level of 3902MWt. This is not interpolated based on a 3889MWt since the uncertainty provided by Reference 4.1.20 is only provided in two significant digits and the impact is neglible.
The design inputs from reference 3.4.17 are used as bounding design inputs and a 3889MWt heat balance is not included in reference 3.4.17. The difference between the operating region of the steam tables between the inputs of 3902MWt and 3889MWt are considered to be minimal and the impact is neglible.
See sections 7 2.3, 7.2.4, 7.2.6 and 7 2.7 for specific assumptions.
DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 5 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.0 CALCULATIONS 7.1 Methodology lDATE:
2/14/2017 REV:
I REVIEWER:
John Wilkens 5
REF:
I DATE:
3/13/2017
!VERIFIER:
N/A The methodology used to combine the uncertainties for the different contributors to the heat balance calculation is the square root of the sum of the squares of those uncertainties which are statistically independent. Then algebraically combined with the those errors that are systematic, or bias. The uncertainties are considered to be random, two sided distributions. This methodology has been utilized before, and has been endorsed by the NRC and various industry standards (Ref. 3.4.12-3.4.14).
The uncertainty calculation combines the different errors from the different parameters contributing to the heat balance in accordance to the heat balance equation. The contributing parameters errors are taken from the specific system uncertainty calculation.
These errors are generally classified in two groups:
a) Instrument loop(s) uncertainty b) Process effects The individual uncertainties affecting the heat balance calculation are determined by the application of the corresponding process algorithm, as described below:
SHEET:
2 CONTD ON SHEET:
3 DATE:
N/A Rev 5 a) the appropriate algorithm for the specific process parameter is set in the form to its specific contribution to the heat balance at specified rated conditions, b) subsequently, the instrumentation loop error is factored in the process algorithm to calculate the corresponding process parameter with the error built-in, c) the difference of the calculated contributed process parameter heat, with error, to the rated process rated heat is then calculated, d) the. resultant heat error contribution is then divided by the rated 100% power thermal megawatts. The result is the error contribution by the specific process to the total heat balance uncertainty, e) finally, all the calculated heat errors are combined in accordance to their parameter function in the heat balance equation. The resultant combination of all contributing errors is the Heat Balance Uncertainty.
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 5 I DATE:
2/14/2017 7.2 Uncertainties Calculation 7.2.1 Main Feedwater Uncertaintv(ies)
REV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
3/4¿/2017
!VERIFIER:
N/A SHEET:
3 CONT'D ON SHEET:
4 DATE:
N/A Rev S The Main Feedwater uncertainties are included in the total thermal power uncertainy provided by the LEFM while in mantenance mode is 0.66% per Reference 3.4.20.
This includes the Main Feedwater mass flow error, main feedwater heat enthalpy error, and the Main Steam mass flow error Referring to the schematic drawing in section 4.0, it can be seen that the Main Feedwater heat contribution is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) flow, 2) temperature, and 3) pressure instrumentation loops error.
The error provided by the vendor for the ultrasonic flow meter already factors the corresponding temperature and pressure loops effect.
b) Feedwater Enthalpy determination affected by: 1) temperature, and 2) pressure, instrumentation loops error.
The main feedwater enthalpy is calculated using the following signals:
- Feedwater Pressure and Main Feedwater Temperature 7.2.1.1 Main Feedwater Mass Flow Heat Error due to Flow Element Uncertainty fWm)
Deleted 7.2.1.2 Main Feedwater Heat Enthalpy Error due to Pressure Loop Uncertainty fWhp)
Deleted 7.2.1.3 Main Feedwater Heat Enthalpy Error due to Temperature Loop Uncertainty fWht)
Deleted
(NC.DE-AP.ZZ-0002(0}, Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
4 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
5 ORIGINATOR:
I DATE:
rEVIEWER:
IDA Tee I
ØERlFIER:
DATE:
Michael Miller 2/14!2017 John Wilkens 3/13/2017 N/A N/A 7.2.2 Main Steam Flow Uncertain:tY:(ies)
Rev S Referring to the schematic drawing in section 4.0, It can be seen that the Main Steam heat contribution is affected by the following parameters:
a) The calculated Main Steam Heat is affected by the mass flow measurement error (see section 7.2.1.1 Main Feedwater Mass Error).
b) Main Steam Enthalpy determination is affected by the pressure instrumentation loop error, documented in calculation:
Ref. 3.4.4 7.2.2.1 Main Steam Mass Flow Heat Error due to Main Feedwater Flow Uncertainty IV!Sm)
Deleted
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
I DATE:
I:ERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.2.2 Main Steam Heat Enthalpy Error due to Pressure Loop Uncertainty fl/IShp)
This Section calculates the Main Heat Steam enthalpy error due to the loop pressure uncertainty, documented in:
Ref.: 3.4.4 The heat error is the difference in the Main Steam flow heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
MShp = r Flow (hrated - hrated+err) l X 2.93E-07 I 3889 X 100%
P Rtd 1000.69 Error (psi) -
£::::::: : ;
P+err 1006.79 6.1 Moist Rtd Moist+err h rated I
100 100.000 1 1 92.91 1 0
TTL MS Heat 17,883,129,657 BTUJhr 17,886,503,873 BTU/hr at rated conditions Error 3,37 4,216 BTU/hr error at rated main feedwater flow I Error in Rated MWt MShp = 0.0254%
I h+err I
Flow I
1 1 92.691 14,994,000-'
SHEET:
5 CONTD ON SHEET:
6 DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
6 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
7 ORIGINATOR:
DATE:
REVIEWER:
1;S;/2017 IyERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.2.3. Main Steam Moisture Heat Enthalpy Error due to Steam Moisture Uncertainty {1/lSmoist)
Rev S This section calculates the Main Steam enthalpy error due to MS moisture uncertainty. The uncertainty is conservatively set to 50% of rated moisture content of 0.0%.
The heat error is the difference in the Main Steam flow heat content at rated flow and moisture conditions minus the heat content at rated moisture conditions plus moisture error:
MSmoist = [ Flowrated hrated (hmoist-rated - hmoist-rated+err) ] x 2.93E-07 I 3889 x 100%
P Rtd P+err Moist Rtd Moist+err I
h rated I
h+err j
Flow I
1000.69 1000.69 100 100.00001 1 1 92.911 1 192.911 14,994,ooo 1 0.00000 0.00%
.. ;.,;,;,,,,,,,,,,,,,,,,.,,,,;,!;!;;;,;,;;]
TTL MS Heat 17,886,503,873 BTU/hr 17,886,503,873 BTU/hr at rated conditions Error BTU!hr error at_ rated main feedwater flow
'Error in Rated MWt MSmoist = 0.0000%
I
CALC NO.:
ORIGiNATOR:
Michael Miller (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 5 1DATE:
12114/2017 7.2.3 Control Rod Drive Flow REV:
'REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET SHEET:
7

CONTD ON SHEET:

8 I
5 REF:
'DATE:
3/13/2017 1VERlFlER:
IN/A DATE:
N/A Rev 5 Referring to the schematic drawing in section 4.0, it can be seen that CRD flow is not monitored for pressure or temperature.
The CRD calculated heat is affected by the following effects:
a) Mass Flow Measurement affected by: 1) flow, instrumentation loop effect and 2) temperature, and 3) pressure deviation from calibration values b) The CRD Enthalpy determination is affected by: 1) temperature, from applied constants, and 2) pressure, from reactor pressure loop error The CRD flow loop errors are documented in calculation:
Ref. 3.4.5 The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow= C*Fa*K*(DP*r)./\\0.5 where K is calculated below:
K = Calib Flow/(Calib inWC
Calib r ).1\\0.5
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Ferm 2)
SC-BB-0525 Att,.chment 5 CALCULATION CONTINUATION SHEET CALC NO.:
REV:
5 REF:
DATE:
DATE:'
!VERIFIER:
N!A ORIGlNATOR:
Michael Miller REVIEWER:
John Wilkens 2/14/2017 3/13/2017 7.2.3.1 Control Rod Drive Flow Heat Error due to Flow Element and Fluid Specific Weight Uncertainty due to Temperature Error RDt)
The uncertainty is dependent for the following variables:
Fa = FE Thermal Expansion r = Fluid Specific Weight The plant computer calculates the CRD flow with a constant flow K factor. However, the actual temperature could vary as much as 43F from the expected 77F, and this impacts the Fa and r impacting the calculated flow; therefore, the effect due to this temperature deviation is:
CRDt = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3889 x 100%
Ref.: 3.4.5 Fa Error Rated 77F
@140 F
@40 F Fa/F 1.0003 1.0013 0.9995 1.8E-05 C Rtd I
C+err 1.00001 1.0GOO O.OO%JJ:!:dl!J 0
DPRtd K = 448.48 CaUb Flow = 50154 1b/hr Calib inWC = 200 Calib Temp = 77 Calib Press = 1474.7 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1001 psia Rated Temp = 77 F Rated h = 47.78 btu!lb DP+err I
Fa Rtd 81.3694 81.36941 1.00031 0.00%1 0
100 GPM Fa+err I
1.001 11 T Rtd Temp error= Calib Temp-Min Temp P Rtd 1000.69 r
I 61.89931 h Rtd Flow hsRtd 47.781 31,862.980 1192.91 TTL CRD Heat 36,487,315 h=iTU!hr 36,644,221 BTU/hr at rated conditions Error (1S6,906) BTU/hr error at rated CRD flow 1*-***------*-. -..
I Error in Rated MWt CRDt = -0.0012%
This error is a bias, not a random instrument induced uncertainty.
SHEET:
8 CONTD ON SHEET:
9 DATE:
N/A Rev S T+err 120 43
(NC.DE-AP.ZZ-0002(0}, Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
9 CALC NO.:
SC-88-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
10 ORIGINATOR:
DATE:
REVIEWER:
SkATE:
'VERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 NIA N/A 7.2.3.2 Control Rod Drive Flow Heat Error due to Flow Element Uncertainty RDc)
Rev 5 The CRD contributed heat is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDc = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 J 3889 x 100%
Fa Error K= 448.48 Rated 77F 1.0003 Calib Flow = 50154 100.00
@140 F 1.0013 Calib inWC = 200.00
@60 F 0.9995 Assumed Calib Temp = 77.00 Fa/F 1.8E-05 Assumed Calib Press = 1474.00 r = 62.529 0.0159925 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1001 psia Rated Temp = 77 F Rated h = 47.78 btu/lb T+err C Rtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
TRtd 77 1.0000 1.0200 81.3694 81.3694 1.00031 1.00031 77 ;;;:::]
0 2.00% ;""'"'200 0.00%
0 I
P Rtd r
h Rtd Flow hs Rtd I
1000.69 62.4396 47.78 32,616.541 1 192.91 1 TTLMFWHeat 37,350,242 BTU/hr 36,644,221 BTU/hr at rated conditions Error 706,021 8TU/hr error at rated CRD flow
!Error in Rated MWt CRDc = 0.0053%
I
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
10 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
11 ORIGINATOR:
/÷ATE:
/-øEVJEWER:
I DATE:
IERIFIER:
DATE:
Michael Miller 2/1:4/2017 Johri Wilkens 3/13/2017 N/A N/A 7.2.3.3 Control Rod Drive Heat Error due to Differential Pressure (DP) Loop Uncertainty (CRDdp)
Rev 5 This error is calculated in calculation:
Ref.: 3.4.5 The loop is comprised of 1) flow transmitter, FT, 2) resistor, REST, 3) computer analog to digital card, AID.
The uncertainties are in % DP span:
Accuracy:
Loop Drift:
CRD AFT I
CRD AREST I
CRD AAID -
I CRD VDFT I
CRD VDA/D I
1.154%
I 0.100%
I 0.188%
I 1.450%
I 0.000%1 Loop Calibration:
I CRD CEFT I CRD. CEA/D I 0.140%
0.188%
The uncertainties are random and independent and combined by the SRSS method:
I 1.88%lspan DP I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
11 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
12 ORIGINATOR:
DATE:
REVIEWER:
/7ATE:
rERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
Rev S CRDdp = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 / 3889 x 100%
Fa Error K = 448.51 Rated 77F 1.0003 Calib Flow = 50157.2 lb/hr 100 GPM
@140 F 1.0013 Calib inWC = 200
@60 F 0.9995 Assumed Calib Temp = 77 Fa/F 1.8E-05 Assumed Calib Press = 1474 r = 62.529 Assumed Rated Flow = 32000.0 lbfhr Rated Press = 1000.7 lb/hr Rated Temp = 77 F CRDh rated = 47.78 btu/lb T+err CRtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
TRtd 77 1.0000 1.0000 81.3584 85.1 183 1.00031 1.00031 77 !**'i:.l 0
0.00% E::'::;1 0
1.88% :*. -;: y:';:y'!
P Rtd I
r I
CRDh rated I Flowrated+err hs Rtd I
1000.69 62.43961 47.781 32,707.575 1 1 92.911 TTL MFWHeat 37,454,488 BTU/hr 36,644,221 BTU/hr at rated conditions Error 810,267 BTU!hr at rated CRD flow I Error in Rated MWt CRDdp = 0.0061%
I
(NC.DE-AP.ZZ-0002{0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
12 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
13 ORIGINATOR:
I DATE:
.EVlEWER:
1;;/2017 VERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.3.4 Control Rod Drive Flow Enthalpy Heat Error due to Temperature Calibration Deviation RDht)
Rev S The plant computer calculates the CRD fluid enthalpy at a constant 77F and reactor pressure. However, the actual temperature varies and it is assumed to vary as much as 43F from the expected 77F; therefore, the effect due to this temperature deviation in the calculated enthalpy is:
Ref. 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDht = [ Flow (hs rated - CRDh rated) - Flow ( hs rated - CRDh rated+err ) ] x 2.93E-07 1 3889 x 100%
I TRtd I
T Max/Min I
T+err I
P Rtd J
h rated I
h+err J
hs rated I
Flow I
77 I
'40 I
37 I
1000.69 I
47.78 I
7.99 I
1192.91 I
32,000 I TTL RWCU Heat II 37,917,380 BTU/hr 36,644,221 BTU/hr at rated conditions Error (1,273, 159) BTU!hr at rated CRD flow I Uncertainty in Rated MWt CRD.ht = -0.0096%
'This error is a bias, not a random instrument induced uncertainty.
(NC.DE-AP.ZZ-0002(0}, Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
13 CALC NO.:
SC-88-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
14 ORIGINATOR:
DATE:
IzEVIEWER:
I DATE:
!VERIFIER:
DATE:
Michael Miller 211412017 John Wilkens 311312017 NIA N!A 7.2.3.5 Control Rod Drive Flow Enthalpy Heat Error due to Pressure Loop Uncertainty RDhp)
Rev 5 The piant computer calculates the CRD fluid enthalpy at a constant 77Fand reactor loop pressure, that is affected by the loop uncertainty_
The pressure ioop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDhp = [ Flow (hs rated - CRDh rated) - Flow ( hs rated+err - CRDh rated ) ] x 2.93E-07 I 3889 x 100%
P Rtd P+err TRtd I CRDh rated I hs rated I
hs rated+err I
Flow I
1000.69 1006.79 77 I
47.78 I
1 192.91 I
1 1 92.691 32,000J Error (psi) - 6.1 TTL MFWHeat I
36,637,020 lsTU/hr 36,644,221 BTU/hr at rated conditions Error (7,201) 8TU!hr at rated CRD flow
!Uncertainty in Rated MWt CRDhp = -0.00005%
I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
14 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
15 I
ORIGINATOR:
I DATE:
rEVIE\\11/ER:
I DATE:
I;ERIFIER:
DATE:
I Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A 7.2.4 Reactor Water CleanuQ Uncertain:!Y(ies)
Rev S Referring to the schematic drawing in section 4.0, it can be seen that RWCU flow is measured and mass calculated by a "NUMAC" process unit.
Differential pressure, temperature, by dedicated thermocouples, and reactor pressure are an input to the instrument. Therefore, the RWCU contributed heat is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) flow, 2) temperature, and 3) pressure induced factors/instrumentation loops errors b) The RWCU Enthalpy determination is affected by: 1) temperature instrumentation loop error (see discussion for pressure)
The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow= C*K*(DP)AO.S where K is:
K = Calib Flow I [ C*(Calib inWC)A0.5]
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
15 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONT'D ON SHEET:
16 ORIGINATOR:
DATE:
REVIEWER:
1;?;/2017 JVERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.4.1 RWCU Inlet/Outlet Flow Heat Error due to Flow Element Expansion deviation from Calibration WCUFa)
Rev 5 The Numac computer calculating the mass flow has a built-in Fa constant different than the flow element Fa provided at the calculated venturi rated temperature of 533F. This induces a bias error. Furthermore, the plant NUMAC normalizes the flow mass signal to a specific weight of 47.0 lbm/cuft for pressure and temperature conditions, back calculated below; therefore, the rated conditions are set at 530.7F.
Pressure Density Compensated to :
48.01 lb/cuft 517.8 F 908 !;!Sia The Fa used in the calculation is fixed to:
1.0045 The correct Fa at rated 533 F is:
1.0087 Based on the Fa differences the induced flow error is calculated below:
Fa = FE Thermal Expansion Ref.: 3.4.1 0 Flow+err = C x Fa+err I Fa x K x (DP)A0.5 K = 9449.90 Calib Flow = 1 89823.1 lb/hr 500 GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1114.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 389GPM Rated h = 524.83 btu/lb C Rtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
T Rtd T+err 1.0000 1.0000 245.3520 245.3520 1.00871 1.00451 530.7 530.7 0.00% 1::::':1 0
0.00% lt:;**;;;!;;;;;:l 0
[;';':; !
0 P Rtd P+err r
h Rtd Flow+err I
1 1 14.7 1 114.7 47.33241 524.831 147,404 I
,,,.,..... ;*
el 0
I Uncertainty
'This a bias and the actual contributed Heat is Higher than indicated RWCUFa -616.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC*BB-0525 Attachment 5 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight deviation (RWCUPMA)
This error is the combination of several uncertainties calculated below:
7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight NHmac Lookup Tables Error (RWCUPMA1)
The Numac performs the fluid specific weight determination with an error 6f 0.1 specific weight, this effect in the flow is calculated below.
r = Fluid Specific Weight Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)AO.S The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA1 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd P Rtd 1.0000 0.00%
1 11 4.7 1.0087 1.0045 C+err 1.0000 0
P+err 1 1 14.7 psi
=
0 psi I
K= 9449.90 Calib Flow = 189823.1 Jb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.7 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr Rated hout = 524.83 btu!lb DP Rtd DP+err FaRtd I
245.3520 245.3520 1.00871 0.00% =*:'::r:.l 0
r INumac err I r+perr+Numac I 47.332L '****
0.1_1_
47.4321 Uncertainty I
RWCUPMA1 = 156.3 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 500 GPM 388.8 GPM Fa+err I
1.00871 h Rtd I
524.831 (Note)
SHEET:
1 6 CONT'D ON SHEET:
17 DATE:
N/A Rev S T Rtd I
530.71 Flow I
148,177 1
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
17 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONT'D ON SHEET:
18 ORIGINATOR:
DATE:
REVIEWER:
3/4;/2017 RIFlER:
DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error (RWCUPMA2)
Rev 5 The Numac computer introduces a 0.75 factor to the input pressure raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)"0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA2 = Flowrated - Flowrated+error r = Fluid Specific Weight K= 9449.90 Calib Flow = 189823.1 lb/hr 500 GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Ca!ib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 1 1 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 388.8 GPM Rated = 524.83 btu!lb C Rtd C+err DP Rtd DP+err Fa Rtd I
Fa+err I
T Rtd I h Rtd return Flow 1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 530.71 396.68 148,422 O.OO%IFj 0
o.oo% I ;; -*:*:::'"]
0 I
P Rtd P+err T Sat r+perr INumac rerr I r+perr+Numac I
h Rtdout I
1 1 1 4.7 840 psi 523.8 47.5895 Ol 47.58951 524.831 75%
r"":':*:*
75 I
IThis a bias and the actual contributed Heat is Higher than indicated Uncertainty RWCUPMA2 = -402 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
18 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
19 ORIGINATOR:
DATE:
REVIEWER:
I DATE:
I;ERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight Pressure Loop Uncertainty (RWCUP _SW)
Rev S Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop uncertainty combined with the Numac computer uncertainty introduces an error in the calculated specific weight.
The loop error is comprised of 1) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
jRWCUpress error-j21 psi I
ReL 3.4.10 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Flowrated+error ( h_in - h_out) ] x2.93E-07 I 3889 x 100%
r = Fluid Specific Weight K= 9449.90 Calib Flow = 189823.1 lblhr 500 GPM (Note)
Fa Error Calib inWC = 403.5 Rated 533F 1.0087 Assumed Calib Temp = 530.7 Calibrated 1.0045 Assumed Calib Press = 11 14.7 r = 47.332 Assumed Rated Flow = 148021 lb/hr 388.8 GPM Rated h = 524.83 btu/lb CRtd C+err DPRtd DP+err Fa Rtd I
Fa+err I
T Rtd in I
T Rtd out 1.0000 1.0000 245.3520 245.3520 1.00871 1.00871 530.71 419.2 0.00% I*
0 0.00% I :;;:::::*::,::!
0 I
PRtd I
P+err r+perr Numacrerr
- I r+perr+Numac I h Rtd in I
h Rtd out I
Flow I
1000.69 1022 psi 41.2689 0
47.26891 509.1 11 396.681 147,921 TTLMFWHeat 16,631,277 BTUlhr 16,642,445 BTU/hr at rated conditions Error 11,168 Uncertainty in Rated MWt RWCUp_sw= 0.0001%
Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding
I (NC.DE-AP.ZZ-0002(Q}, Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-88-0525 Attachment 5 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
kATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient.
c The FE uncertainty is determined based in calculation:
Ref.: 3.4.1 0 Flow+err = C+err x K x (DP)A0.5 The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUc = Flowrated - Flowrated+error Fa Error K = 9449.90 Rated 533F 1.0087 Calib Flow = 189823.1 LB/HR 500 GPM Calibrated 1.0045 Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr 389 GPM Rated h = 524.83 btu!lb C Rtd C+err DP Rtd DP+err Fa Rtd I
Fa+err 1.0000 1.0150 245.3520 245.3520 1.00871 1.50% lt:';'!'":i 150 p Rtd I
1 1 14.7 r
47.33241 I
0.00%
0 h
524.81 Flow I
150,241 :
Uncertainty I
RWCUc = 2220.3 lb/hr Note: This value is slightly different to the 189,197 1b/hr calculated in the reference due to rounding
'VERIFIER:
N/A (Note)
I 1.00871 SHEET:
19 CONT'D ON SHEET:
20 DATE:
N/A Rev S T Rtd T+err 530.7 530.7 t"' " :i 0
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
20 CALC NO.:
SC-88-0525 Attachment 5 REV:
5 REF:
CONT'D ON SHEET:
21 ORIGINATOR:
DATE:
rEVIEWER:
j;Q/2017 1:ERIFIERc DATE:
Michael Miller 2/14/2017 John Wilkens N/A N/A 7.2.4.4 Reactor Water Cleanup flow Error due to Differential Pressure (DP) Loop Uncertainty (RWCUdp)
Rev 5 This error is introduced by the differential pressure instrument loop. The uncertainties in the loop are found in:
Ref.: 3.4.10 The loop is comprised of 1) flow transmitter, FT, 2) NUMACcomputer. The uncertainties are in % DP span:
The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error Accuracy:
Loop Drift:
I RWCU AFT
I RWCU ANU IE RWCU ANU AID _l RWCU VDFT 1 RWCU VDNU IE_lRWCU VDNU AID I
I 0.503%
I 0.100%
0.233%
I 0.900%
L 0.127%
I 0.127%
I Loop Calibration:
RWCU CEFT RWCU CENU AID I
0.139%
0.02%
The uncertainties are random and independent and combined by the SRSS method:
I 1.09%lspan DP I
Flow+err = C x K x (DP+err)A0.5 Fa Error K = 9449.90 Rated 533F 1,0087 Calfb Flow = 1 89823.1 LB/HR 500 GPM (Note)
Calibrated 1.0045 Calib inWC = 403.50 Assumed Calib Temp = 530.70 Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 LB/HR 389 GPM Rated h = 524.83 btu/lb CRtd C+err DP Rtd I
DP+err I
Fa Rtd I
Fa+err I
T Rtd T+err 1.0000 1.0000 245.35201 249.73381 1.00871 1.00871 530.7 530.7 0.00%
0
!:!!exJI 0
PRtd r
h I Flowrated+err I 1 1 14.71 47.3324 524.831 149,336 I I
I Uncertainty RWCUdp = 1315.9 1b/hr Note: This value is slightly different to the 189,197 lb/hr calcu.lated in the reference due to rounding
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUA liON SHEET SHEET:
21 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
22 ORIGINATOR:
DATE:
I EVIEWER:
I DATE:
/VERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A 7.2.4.5 Reactor Water Cleanup Flow Error due to Signal Conditioning/NSSS Computer Loop Uncertainty WCUNSSS_cptr)
Rev S The differential pressure is converted to flow by the Numac computer and retransmitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1 ) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
Loop Drift:
RWCU ANU D/A RWCU AA/D I RWCU VDNU DIAl RWCU VNA/D J
0.233%
0.188%
I 0.13%
I 0.000%
J Loop Calibration:
RWCU CENU D/A I RWCU CEA/D 0.02%
I 0.188%
The uncertainties are random and independent and combined by the SRSS method:
I 0.38%lspan FLOW I
The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCU NSSS _ cptr = Flowrated - Flowrated+error Fa Error K = 9449.90 Rated 533F 1.0087 Calib Flow = 189823.1 lb/hr 500 GPM (Note)
Calibrated 1.0045 Calib inWC = 403.50 Assumed Calib Temp = 530JO Assumed Calib Press = 1 1 14.70 r = 47.332 Assumed Rated Flow = 148021 lb/hr 389 GPM Rated h = 524.83 btullb CRtd C+err DP Rtd I
DP+err I
Fa Rtd I
Fa+err I
TRtd T+err 1.0000 1.0000 245.35201 245.35201 1.00871 1.00871 530.7 530.7 0.00% I 0
[Ñ::I 0
I P Rtd I
r h
I Flow I
1 1 14.71 47.3324 524.831 148,734.3 1 Uncertainty I
RWCUNSSS cptr= 713.8lb/hr Note: This value is slightly different to the 189,197 1b/hr calculated in the reference due to rounding
CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2}
SC-88-0525 Attachment 5 REV:
CALCULATION CONTINUATION SHEET 5
REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
SHEET:
22 CONTD ON SHEET:
23 DATE:
Michael Miller _
2/14/2017
John Wilkens 3/13/2017 N/A N/A 7.2.4.6 Reactor Water Cleanup Total Flow due to Flow Loop Uncertainties (RWCUf)
RWCU Inlet h - Outlet h.
The total RWCU Flow Unertainty is calculated below:
RWCUfu =-t:/-SQRT(RWCUPMA 1A2-t:RWCUcA2+RWCUdpA2+RWCUNSSS JptrA2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since-the negative uncertainty is the one that has impact in the heat balance calculations, that is, that (-) less indication means that power is higher; however, it will be factored in both directions for simplicity.
I -
RWCUfu= 3700 lb/hr
I Then, the heat error contribution is the calculated inlet flow heat error minus the outlet flow heat error:
RWCUh_in = 509.1 1 btu/lb RWCUh_out = 396.68 btuilb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWCBTU_hr (conversion factor) J I Rated MWt 100%
I -- RWCUf = 0.0031%
-- !This total error will be treated as bias in the total heat balance error Rev S
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
23 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
24 ORIGINATOR:
DATE:
IEVIEWER:
1;3/4?;[2017 rERIFIER:
DATE:
Michael Miller 2[14!2017 John Wilkens N!A N!A 7.2.4. 7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
Rev 5 This error is the error resultant of temperature measurement errors by the inletfoutlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out.
Finally, since most of the thermocouples loop error is a bias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3.4.6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 / 3889 x 100%
In flow heat TRtd T+err P Rtd I
h rated I
h+err I
Flow I
517.8 528.7 1000.69 I
509.1 1 I
522.50 I
148,021 1 Error (F)
cc c to-

9' Out flow heat TRtd T+err P Rtd I
h rated I
h+err I
Flow I
419.2 430.1 1000.69 I
396.68 l
408.57 I
148,021 I Error (F) 10.9 Error I
3,741,117 IBTU/hr error at rated reactor water cleanup flow
!Uncertainty in Rated MWt RWCUht = 0.0282%
hhis error is a bias
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
24 CALC NO.:
SC-88-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
25 ORIG£NATOR:
DATE:
rEVIEWER:
I DATE:
IyERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A NIA 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure loop Uncertainty WCUhp)
Rev 5 The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the water enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout - hout+error ) ] ] x 2.. 93E-07 I 3889 x 100%
In flow heat I
P Rtd P+err TRtd I
h rated I
h+err I
Flow l
1000.69 1020.89 517.8 I
509.1 1 I
509.09 I
148,000l Error (psi) 202 Out flow heat
.. P Rtd
. P+err TRtd I
h rated I
h+err J
Flow I
1000.69 1020.89 419.2 I
396.68 I
396.70 I
148,ooo I Error (psi) 20.2 Error 5,764 8TU/hr at rated reactor water Cleanup flow
'Uncertainty in Rated MWt RWCUhp = 0.00004%
I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
25 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONT'D ON SHEET:
26 ORIGINATOR:
DATE:
REVIEWER:
£kATE:
I;ERIFIER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A N/A 7.2.5 Recirculation PumQs Heat Error due to Watts LooQ Uncertainjy (BRPw)
Rev S This section calculates the uncertainty due to RRP watts loop error, calculated in:
Ref.: 3.4.1 1 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3)
There are two recirculation pumps, the calculated error below is per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtd/pump + MW Loop Span x Span err ) x Motter eff ] - W Rtd/pump x Motor eff ] I 3889 x 100%
W Rtd/pmp+err Motor Eff W+err 3.823 0.93 3.55 Error = 1.50% span Span = ;M:cstl'iiiwaft:,
.c ',ix ITTL Mwatt 3.41 IMwatt Error 0.1465 Mwatt Uncertainty in Rated MWT RRPw = 0.0038%
I
I (NC.DE-AP.ZZ-0002(Q), Rev..
12, Form 2)
SC-BB-0525 Attachment 5 CALCULATION CONTINUATION SHEET CALC NO" ORIGINATOR:
DATE:
Michael Miller 2/14/2017 7.2.6 Thermal Loses (TL)
REV:
!REVIEWER:
jJohn Wilkens 5
REF:
I DATE:
j3/13/2017 This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
W Rtd W+err 1.1 1.32 Error =120;00%.
!Tfl. Mwatt Heat. --,
I 1.32 MW 1.10 MW at rated conditions Error 0.2200 MW error at rated radiated loses
'Uncertaintym Rated MWT
-This error is treated as bias.
TL= 0.006%
1VERIFIER:
N/A Note: The computer utilizes this value combined with Other System Loses (Section 7.2.7) as Radiative power loses, QRAD = 1.94 SHEET:
26 coNrD ON sHEET:
27 I DATE:
N/A Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
27 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONTD ON SHEET:
28 ORIGINATOR:
DATE:
!REVIEWER:
IDATE:
rVERIFIER:
DATE:
Michael Miller 2/14/2017
!John Wilkens 13/13/2017 N/A N/A 7.2. 7 Other System Loses (OSL)
Rev 5 The rated value includes Rod Drive seal purge flow to recirculation pumps. An assumed error equal to 20% of the specified loses is used.
This error will be treated as a bias error since if the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
The rated Losses figure is from reference:
(Ref. 3.4.2)
WRtd I
W+err 1.1 81 1.416 Error -120%
ITTL Mwatt Heat I
1.42 MW 1.18 MW at rated conditions Error 0.2360 MW error at rated radiated loses
!Uncertainty in Rated MWT I
This error is treated as bias.
OSL= 0.006%
Note: The computer utilizes this value combined with Thermal Loses (Section 7.2.6) as Radiative power loses, QRAD = 1.94
CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 5 REV:
CALCULATION CONTINUATION SHEET SHEET:
28

CONTD ON SHEET:

29 I 5
REP.
ORIGINATOR:
Michael Miller I DATE:
2/14/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U)
REVIEWER:
John Wilkens I DATE:
3/13/2017 I::IER:
The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power= MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Summary of Heat Balance Calculation Contributing.Errors:
Random Errors:
Dependent Errors:
Bias Errors:
MSmoist = 0.0000%
CRDc = 0.0053%
CRDdp = 0.0061%
RRPw = 0.0038%
RWCUp sw = 0.0001 %
Errors FWm = **
FWht = **
MSm = -
FWhp =
MShp = 0.0254%
CRDhp = -0.00005%
RWCUhp = 0.00004%
CRDt = -0.0012%
CRDht = -0.0096%
RWCUJ = 0.0031%
RWCUht = 0.0282%
TL = 0.006%
OSL = 0.006%
Variable Rated MS pressure = 1001 psia
Note that these terms are combined in reference 3.4.20 for an over all uncertainty of 0.66% for FWm, FWht and FWhp Heat Balance Calculation Power Error (U):
Power Error = SQRT[((0.0066)"2+(MShp+CRDhp+RWCUhp)"2+MSmoistA2+CRDc"2+CRDdpA2+
+RWCUp _swA2+RRPwA2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 0.693%
To ensure operation margin exist, due to possible instrumentation loops miss-calibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 3840
102% - Rated Thermal Power-Power Error Margin = 3916.8 - 3889 - Power Error Margin = 0.022%
and Power U = 0.715%
DATE:
NJA Rev 5
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
29 CALC NO.:
SC-BB-0525 Attachment 5 REV:
5 REF:
CONT'D ON SHEET:
N/A ORIGINATOR:
¿/2017 IEVIEWER:
j;3/4¿:/2017 I VERIFIER:
DATE:
Michael Miller John Wilkens N/A N/A 8.0
SUMMARY
Rev S The calculated Heat Balance Error performed in this calculation is applicable to fully operational LEFM. The Power Uncertainty is the difference between the 2% design basis and the rated termal power for the current LEFM mode of operation. Positive margin is maintained between the Power Uncertainty and the Power Error. The Heat Balance calculation error (Section 7.0) is:
Power U = 0.715%
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 6 REV:
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ORIGINATOR:
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Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A Sections 1 through 4 have been replaced with the main body of the calculation
- 5.0 DESIGN INPUTS S.1 Rated Power Conditions 100% rated Power Conditions are listed below. Actual 100% operation values might be used in lieu of rated nominal values, for other than Rated MWt, Feedwater Flow and Main Steam parameters as deemed appropriate. lhis is found acceptable, since for the purpose of error determination to rated MWt "heat differential errorS", actual heat contribution deviation from measured/calculated heat to rated MWt due to instrumentation uncertainties, is required not the actual deviation value.
Rated MWt = 3840MW (Ref. 3.4.1 9, 3.2.4, Att 8)
Rated FW flow = 1.4690E+07lbm/hr (Ref. 3.4.19, Att 8)
Rated FWtemperature = 329.6 F (Ref. 3.4.1 9, Att 8)
Rated MS flow = 1.4722E+071bm/hr (Ref. 3.4.19, Att 8)
Rated MS pressure = 1 001 psia (Ref. 3.4.19, Att 8)
Rated MS quality = 100.000 (Ref. 3.4.1)
Rated RWCU flow = 1 48000.0 lb/hr (Ref. 3.4.1 9, Att 8)
Rated RWCU temperature = 517.9 F (Ref. 3.4.19, Att 8)
Rated RWCU return temperature = 419.4 F (Ref. 3.4.1 9, Att 8)
Notes:
Rated CRD flow = 32000.0 lb/hr (Ref_ 3.4.3, 3.4.17)
CRD Calibration pressure = 1474.0 psia (Ref. 3.4.S)
Rated CRD temperature = 11.£.
(Ref. 3.4.19, Att 8)
Radiation Loses = 1.10MW (Ref. 3.4.2, 3.4.17)
Other System Loses = 1.18MW (Ref. 3.4.2, 3.4.17) Note: These loses are not*included in UFSAR Heat Balance, Ref. 3.1.1 MWt/BTU/hr = 2.9300E-07 (Ref. 3.4.1)
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Millcellaneous
1) This calculation uses rated MS quality of 100.00%, which will produce a more conservative number with respect to the actual plant MS quality.
This parameter may be revised when the actual MS quality is measured after the implementation of EPU.
2) This calculation specifies radiation loses as 1.1 0 MW and other loses as 0.84 MW for the total lose of 1.94 MW. Reference 3.4.17 stated "other system loses" as 1.9 MW without specifically accounting for Radiation loses. Since the two total numbers are almost identical and the difference wou1d have negligible affect on the Power Error, radiation loses of 1. 1 0 MW and the other loses of 0.84 MW wfll be maintained.
6.0 ASSUMPTIONS DATE:
N/A Rev S Rev S Rev S See ections 7.2.3, 7.2.4, 7.2.6 and 7.2.7 for specific assumptions.
!Rev S 1
2
CALC NO.:
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 REV:
CALCULATION CONTINUATION SHEET 5
REF:
ORIGINATOR:
Michael Miller I DATE:
2/14/2017 I REVIEWER:
John Wilkens j;;;/2017
!VERIFIER:
N/A 7.0 CALCULATIONS 7.1 Methodology The methodology used to combine the uncertainties for the different contributors to the heat balance calculation is the square root of the sum of the squares of those uncertainties which are statistically independent. Then algebraically combined with the those errors that are systematic, or bias. The uncertainties are considered to be random, two sided distributions. This methodology has been utilized before, and has been endorsed by the NRC and various industry standards (Ref. 3.4.12-3.4.14).
The uncertainty calculation combines the different errors from the different parameters contributing to the heat balance in accordance to the heat balance equation. The contributing parameters errors are taken from the specific system uncertainty calculation.
These errors are generally classified in two groups:
a) Instrument loop(s) uncertainty b) Process effects The individual uncertainties affecting the heat balance calculation are determined by the application of the corresponding process algorithm, as described below:
SHEET:
2 CONT'D ON SHEET:
3 I DATE:
N/A a) the appropriate algorithm for the specific process parameter is set in the form to its specific contribution to the heat balance at specified rated conditions, b) subsequently, the instrumentation loop error is factored in the process algorithm to calculate the corresponding process parameter with the error built-in, c) the difference of the calculated contributed process parameter heat, with error, to the rated process rated heat is then calculated, d) the resultant heat error contribution is then divided by the rated 1 00% power thermal megawatts. The result is the error contribution by the specific process to the total heat balance uncertainty, e) finally, all the calculated heat errors are combined in accordance to their parameter function in the heat balance equation. The resultant combination of all contributing errors is the Heat Balance Uncertainty.
(NC.DE-AP.ZZ0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET
. SHEET:
3 CALC NO.:
REV:
5 REF:
CONT'D ON SHEET:
4 ORIGINATOR:
Michael Miller 7.2 Uncertainties Calculation 7.2.1 Main Feedwater Uncertaintvfies)
I DATE:
2/14/2017 I REVIEWER:
John Wilkens I DATE:
3/13/2017
!VERIFIER:
NIA Referring to the schematic drawing in section 4.0, it can be seen that the Main Feedwater heat contribution is affected by the following parameters:
a) Mass Flow Measurement affected by: 1) floW, 2) temperature, and 3) pressure instrumentation loops error.
The error provided by the vendor for the ultrasonic flow meter already factors the corresponding temperature and pressure loops effect.
b) Feedwater Enthalpy determination affected by: 1) temperature, and 2) pressure, instrumentation loops error.
The main feedwater enthalpy is calculated using the following signals:
- Main Steam Pressure and Main Feedwater Temper':lture The main feedwater mass error is provided as percentage of span at 1009/o -rated power at span of 20,000,000 lbm/hr as documented in Ref.: 3.4.7 Section 7.12.3.
The number to be used for 100% flow with reduced reactor feedwater flow is positive error of +0.77% flow span at 20,000,000 lbm/hr span or 155,000 Ibm/hr.
(Note: Ref.: 3.4.7 Section 7.12.1 NSSS Computer-Feedwater Flow took credit for constant correction of teedwater flow by LEFM. For this calculation where LEFM correction is not credited, the number in Section 7.12.1 cannot be used. Instead the error calculated in Section 7.12.3: GETARS Total Flow 3840 MWt should be used. The propagation of feedwater flow error is identical between NSSS computer and GET ARS computer, i.e. both their loops consist of feedwater nozzles, flow transmitters, DFCS Foxboro interface modules, and computers.)
The heat error is the difference in the MFW heat content at rated flow conditions minus the heat error content at rated conditions plus flow error:
FWm = [ hrated (Fiowrated - Flowrated+err) ] x 2.93E-07/3840 x100%
F Rtd 14,690,000 Error % reading F+err 1 4,844,000 P Rtd TRtd 1000.69 329.6
., * - * *---*-o--,sTu/hr:
h rated 301.91 4,435,07 4,622 BTU/hr at rated conditions Error 46,494,315 BTU/hr at rated main feedwater flow Uncertainty in Rated MWT FWm = 0.3548%
l:
1Rev5
(NC.DE-AP.ZZ-0002(Q), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.1.2 Main Feedwater Heat Enthalpy Error due to Pressure Loop Uncertainty (FWhp)
The main feedwater enthalpy is determined from reactor loop pressure, that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3.4.4 VERIFIER:
N/A The heat error is the difference in the MFW heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
FWhp = [ Flow (hrated - hrated+err) ] x 2.93E-07 / 3840 x 100%
P Rtd P+err 1 000.69 1 006.79 Error (psi) =..
.6ç1-TRtd I
h rated 329.6 I
301.91 TTL MFW Heat 4,435,227,702 IBTU/hr I
h+err I
301.92 4,435,07 4,622 BTU/hr at rated conditions Error 1 53,080 BTU/hr at rated main feedwater flow Uncertainty in Rated MWt FWhp = 0.0012%
I Flow I
I 14,69o,ooo I SHEET:
CONTD ON SHEET:
DATE:
N/A 1Rev 5 j Rev 5 1Rev 5 1 Rev 5
!Rev S 4
5
(NC.DE-AP.ZZ-DDD2(Q), Rev. 1 2, Form 2)
SC-88-0525 Attachment 6 CALCULAtiON CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller TDATE:
12/14/2{)17 REV:
1REVIEWER:
John Wilk'ens 5
REF:
I DATE:
3/1312017 7.2.1.3 Main Feedwater Heat Enthalpy Error due to Temperature Loop Uncertainty (FWht)
The main feedwater enthalpy determination is affected by the loop temperature error, documented in:
Ref.: 3.4.8
'VERIFIER:
N/A The heat error is the difference in the MFW heat content at rated flow and enthalpy conditions minus the heat content at rated flow conditions with enthalpy at rated temperature plus temperature induced error:
FWht = [ Flow (hrated - hrated+err) ] x 2.93E-07 I 3840 x 100%
TTL MFW Heat 4,458,340,678 IBTU/hr 4,435,07 4,622 BTU/hr at rated conditions Error 23,266,056 8TU/hr error at rated main feedwater flow
)Uncertainty -:-in Rated-MWt
-
l FWht = 0.1775%
SHEET:
5 CONTD ON SHEET:
6
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.2.2 Main Steam Flow UncertainMies) I DATE:
2/14/2017 REV:
I REVIEWER:
John Wilkens 5
REF:
1;;;/2017 I VERIFIER:
N/A Referring to the schematic drawing in section 4.0, It can be seen that the Main Steam heat contribution is affected by the following parameters:
a) The calculated Main Steam Heat is affected by the mass flow measurement error (see section 7.2. 1.1 Main Feedwater Mass Error).
b) Main Steam Enthalpy determination is affected by the pressure instrumentation loop error, documented in calculation:
Ref. 3.4.4 7.2.2.1 Main Steam Mass Flow Heat Error due to Main Feedwater Flow Uncertainty (MSm)
The main feedwater mass error is provided from Section 7.2.1. 1 :
The heat error is the difference in the Main Steam flow heat content at rated flow conditions minus the heat content at rated conditions plus flow error:
MSm = [ hs rated (Fiowrated - Flowrated+err) ] x 2.93E-07 I 3840 x 1 00%
FWFEerr = 0.7700%
F Rtd F+err 14,722,000 14,876,000 Span Mass Flow P Rtd Moist Rtd 1 000.69 TTL MFW Heat 1 7,745,740,403 IBTU/hr 1 00 hs rated 1 1 92.91 1 7,562,032,147 BTU/hr at rated conditions Error 183,708,256 BTU/hr at rated main feedwater flow
[Uilcertainty in Rated MWT I
I MSm = 1.4017%
SHEET:
6 CONTD ON SHEET:
7 I DATE:
N/A
CALC NO.:
OR1GINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 DATE:
2/14/2017 REV:
REVIEWER:
John Wilkens 7.2.2.2 Main Steam Heat Enthalpy Error due to Pressure Loop Uncertainty (MShp)
CALCULATION CONTINUATION SHEET 5
REF:
DATE:
VERIFIER:
3/13/2017 N/A This Section calculates the Main Heat Steam enthalpy error due to the loop pressure uncertainty, documented in:
Ref.: 3.4.4 The heat error is the difference in the Main Steam flow heat content at rated flow and enthalpy conditions minus the heat content at rated flow with enthalpy at rated pressure plus pressure induced error:
MShp = [ Flow (hrated - hrated+err) ] x 2.93E-07 I 3840 x 100%
P Rtd P+err Moist Rtd Moist+err h rated I
h+err T
Flow l
1 000:69 1 006.79 100 100.000 1 1 92.911 1 1 92.691 1 4,722,ooo I Error (psi) =
6.1 TTL MS Heat 1 7,558,719,142 IBTU/hr 0
17,562,032,147 BTU/hr at rated conditions Error 3,31.3,005 BTUlhr error at rated main feedwater flow
'Error in Rated MWt - - -
I MShp = 0.0253%
SHEET:
CONT'D ON SHEET:
DATE:
N/A
'Rev 5
!Rev S 1Rev 5
!Rev S j Rev 5 7 8
I I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.2.3. Main Steam Moisture Heat Enthalpy Error due to Steam Moisture Uncertainty (MSmoist)
This section calculates the Main Steam enthalpy error due to MS moisture uncertainty. The uncertainty is conservatively set to 50% of rated moisture content of 0.0%.
The heat error is the difference in the Main Steam flow heat content at rated flow and moisture conditions minus the heat content at rated moisture conditions plus moisture error:
MSmoist = [ Flowrated hrated (hmoist-rated - hmoist-rated+err) ] x 2.93E-07 / 3840 x 100%
P Rtd P+err 1 000.69 1 000.69 0.00000 Moist Rtd Moist+err 1 00 0.00%
TTLMS Heat 1 7,562,032,147 IBTU!hr 100.0000 h rated I
1 1 92.91 1 1 7,562,032,147 BTU/hr at rated conditions Error BTU/hr error at rated main feedwater flow Error in Rated MWt I
MSmoist = 0.0000%
h+err I
Flow 1 1 92.91 1 14,722,000 8 9 DATE:
N/A
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 I DATE:
1211412017 7.2.3 Control Rod Drive Flow REV:
1REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
1DATE:
3/1312017
!VERIFIER:
jN/A Referring to the schematic drawing in section 4.0, it can be seen that CRD flow is not monitored for pressure or temperature.
The CRD calculated heat is affected by the following effects:
a) Mass Flow Measurement affected by: 1 ) flow, instrumentation loop effect and 2) temperature, and 3) pressure deviation from calibration values b) The CRD Enthalpy determination is affected by: 1) temperature, from applied constants, and 2) pressure, from reactor pressure loop error The CRD flow loop errors are documented in calculation:
Ref. 3.4.5 The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*Fa*K*(DP*r)A0,5 where K is calculated below:
K = Calib Flow/(Calib inWC
Calib r )A0.5 SHEET:
9 CONT'D ON SHEET: !DATE:
lN/A 10
I (NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.1 Control Rod Drive Flow Heat Error due to Flow Element and Fluid Specific Weight Uncertainty due to Temperature Error (CRDt)
The uncertainty is dependent for the following variables:
Fa = FE Thermal Expansion r = Fluid Specific Weight The plant computer calculates the CRD flow with a constant flow K factor. However, the actual temperature could vary as much as 43F from the expected 77F, and this impacts the Fa and r impacting the calculated flow; therefore, the effect due to this temperature deviation is:
CRDt = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 / 3840 x 1 00%
Ref.: 3.4.5 Fa Error Rated 77F
@140 F
@40 F Fa/F C Rtd 1.0000 0.00% ' *. :::::::**j 1.0003 1.0013 0.9995 1.8E-05 C+err 1.0000 0
DP Rtd K = 448.48 Calib Flow = 50154 lb/hr Calib inWC = 200 Calib Temp = 77 Calib Press = 1474.7 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1001 psia Rated Temp = 77 F Rated h = 47.78 btu/lb DP+err Fa Rtd 81.3694 81.3694 1.0003 0.00% ::-;_;:!
0 1 00 GPM Fa+err I
1.001 1 1 T Rtd Temp error = Calib Temp - Min Temp P Rtd 1 000.691 r
61.89931 h Rtd Flow hs Rtd 47.781 31,862.980 I 1 1 92.91 TTL CRD Heat 36,487,315 IBTU/hr 36,644,221 BTU/hr at rated conditions Error (156,906) BTU/hr error at rated CRD flow 77 I
Error in Rated MWt I
CRDt = -0.0012%
This error is a bias, not a random instrument induced uncertainty.
SHEET:
10 CONT'D O N SHEET:
11 DATE:
N/A T+err 1 20
'" '"';tii;.,*,,:,,!
43
' "if::.' ',,
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-88-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.2 Control Rod Drive Flow Heat Error due to Flow Element Uncertainty (CRDc)
The CRD contributed heat is affected by the FE error that is assigned to the flow element expansion coefficient c
The FE uncertainty is determined based in calculation:
Ref.: 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDc = 1 (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3840 x 100%
Fa Error Rated 77F
@140 F
@60 F Fa/F C Rtd 1.0000 2.00%
1.0003 1.0013 0.9995 1.8E-05 DP Rtd K = 448.48 Cali.b Flow = 50154 Calib inWC = 200.00 Assumed Calib Temp = 77.00 Assumed Calib Press = 1474.00 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1001 psia Rated Temp = 77 F Rated h = 47.78 btu/lb DP+err Fa Rtd 81.3694 81.3694 1.0003 0.00%
0 P Rtd r
h Rtd Flow hs Rtd 1000.69 62.4396 47.78 32,616.541 1 1 92.91 TTL MFW Heat 37,350,242 IBTU/hr 36,644,221 BTU/hr at rated conditions Error 706,021 8TU/hr error at rated CRD flow (ErrOrln Rated MWt --
I J
CRDc = 0.0054%
1 00.00 0.0159925 Fa+err T Rtd 1.0003 SHEET:
11 CONT'D ON SHEET:
12 DATE:
N/A T+err 77 0
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller
- 2/14/2017 John Wilkens 3/13/2017 7.2.3.3 Control Rod Drive Heat Error due to Differential Pressure (DP) Loop Uncertainty (CRDdp)
This error is calculated in calculation:
Ref.: 3.4.5 The loop is comprised of 1) flow transmitter, FT. 2) resistor, REST, 3) computer analog to digital card, A/D.
The uncertainties are in % DP span:
Accuracy:
Loop Drift:
CRD AFT CRD AREST CRD AAJD CRD VDFT 1.1 54%
0.100%
0.188%
1.450%
Loop Calibration:
CRD CEFT CRD CEA/D 0.140%
0.188%
The uncertainties are random and independent and combined by the SRSS method:
I 1.88%lspan DP I
CRD VDA/D 0.000%
VERIFIER:
N/A SHEET:
12 CONT'D ON SHEET:
1 3 DATE:
N/A
(NC.DE-AP.ZZ:-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDdp = [ (hs rated - CRDh rated) ( Flowrated - Flowrated+err ) ] x 2.93E-07 I 3840 x 1 00%
Fa Error Rated 77F
@140 F
@60 F Fa/F C Rtd P Rtd 1.0000 0.00%
1 000.69 1.0003 1.0013 0.9995 1.8E-05 C+err 1.0000 0
K = 448.51 Calib Flow = 50157.2 lb/hr Calib inWC = 200 Assumed Calib Temp = 77 Assumed Calib Press = 1474 r = 62.529 Assumed Rated Flow = 32000.0 lb/hr Rated Press = 1 000.7 lb/hr Rated Temp = 77 F CRDh rated = 47.78.btu/lb DP Rtd DP+err 85.11 83 1.88%
CRDh rated Flowrated+err 47.78 32,707.575 TTL MFW Heat 37,454,488 IBTU/hr Fa Rtd 1.0003 hs Rtd 1 1 92.91 36,644,221 BTU/hr at rated conditions Error 810,267 BTU/hr at rated CRD flow (Errorin Rate d MWt I
I CRDdp = 0.0062%
1 00 GPM Fa+err T Rtd 1.0003 SHEET:
13 CONT'D O N SHEET:
14 DATE:
N/A T+err 77 0
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.3.4 Control Rod Drive Flow Enthalpy Heat Error due to Temperature Calibration Deviation (CRDht)
The plant computer calculates the CRD fluid enthalpy at a constant 77F and reactor pressure. However, the actual temperature varies and it is assumed to vary as much as 43F from the expected 77F; therefore, the effect due to this temperature deviation in the calculated enthalpy is:
Ref. 3.4.5 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
CRDht = [ Flow {hs rated - CRDh rated) - Flow ( hs rated - CRDh rated+err ) ] x 2.93E-07 I 3840 x 1 00%
TRtd T Max/Min 77 40 T+err P Rtd 37 1 000.69 TTL RWCU Heat 37,917,380 IBTU/hr h rated 47.78 36,644,221 BTU/hr at rated conditions Error
{1,273, 1 59) BTU/hr at rated CRD flow Uncertainty in Rated MWt h+err hs rated 7.99 1 1 92.91 I
CRDht = -0.0097%
jThis error is a bias, not a random instrument induced uncertainty.
SHEET:
14 CONT'D ON SHEET:
15 DATE:
N/A Flow 32,000
I I
(NC.DE-AP.ZZ-0002(0), Rev. 1 2, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14!2017 John Wilkens 3/13/2017 N/A 7.2.3.S Control Rod Drive Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (CRDhp)
The plant computer calculates the CRD fluid enthalpy at a constant 77Fand reactor loop pressure, that is affected by the loop uncertainty.
The pressure loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus ihe heat error content at rated conditions plus error:
CRDhp = [ Flow (hs rated - CRDh rated) - Flow ( hs rated+err-CRDh rated ) ] x 2.93E-07 I 3840 x 100%
P Rtd P+err 1000.69 1006.79 :.
Error (psi) = 1\\!!:!:
TRtd I
CRDh rated I
hs rated 77 I
47.78 l
1192.91 TTL MFW Heat I
36,637,02.0 IBTU/hr 36,644,221 BTU/hr at rated conditions Error (7,201) BTU!hr at rated CRD flow Uncertainty in Rated MWt CRDhp = -0.00005%
I hs rated+err I
Flow I
11.92.691 I
32,ooo I SHEET:
CONTD ON SHEET: DATE:
N/A
'Rev S
!Rev S
!Rev S
!Rev S
-!Rev S 15 16
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller TDATE:
12114/2017 7.2.4 Reactor Water Cleanup Uncertaintv(ies)
REV:
rREVIEWER:
!John Wilkens 5
REF:
j;;;~2017
'VERIFIER:
N/A Referring to the schematic drawing in section 4.0, it can be seen that RWCU flow is measured and mass calculated by a "NUMAC" process unit.
Differential pressure, temperature, by dedicated thermocouples, and reactor pressure are an input to the instrument. Therefore, the RWCU contributed heat is affected by the following parameters:
a) Mass Flow Measurement affected by: 1 ) flow, 2) temperature, and 3) pressure induced factors/instrumentation loops errors b) The RWCU Enthalpy determination is affected by: 1 ) temperature instrumentation loop error (see discussion for pressure)
The flow formula is derived from the ASME (Ref. 3.4.9) as follows:
Flow = C*K*(DP)A0.5 where K is:
K = Calib Flow I [ C*(Calib inWC)A0.5 ]
SHEET:
1 6 CONT'D ON SHEET:
17 I DATE:
N/A
I I
CALC NO.:
ORIGINATOR:
Michael Miller (NC.DE-AP.ZZ-0002(Q), Rev. 1 2, Form 2)
SC-BB-0525 Attachment 6 1::/2017 REV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
1DATE:
3/13/2017 I
VERIRER:
N/A 7.2.4.1 RWCU Inlet/Outlet Flow Heat Error due to Flow Element Expansion deviation from Calibration (RWCUi=a)
The Numac computer calculating the mass flow has a built-in Fa constant different than the flow element Fa provided at the calculated venturi rated temperature of 533F. This induces a bias error. Furthermore, the plant NUMAC normalizes the flow mass signal to a specific weight of 47.0 lbm/cuft for pressure and temperature conditions, back calculated below; therefore, the rated conditions are set at 530.8F.
Pressure Density Compensated to :
The Fa used in the calculation is fixed to:
The correct Fa at rated 533 F is:
48.00 lb/cuft 517.9 F 1.0045 1.0087 908 psia Based on the Fa differences the inducd flow error is calculated below:
Fa = FE Thermal Expansion Ref.: 3.4.1 0 Flow+err = C x Fa+err I Fa x K x (DP)A0.5 Fa Error Rated 533F Calibrated C Rtd PRtd 1.0000 0.00%
1 114.7 1.0087 1.0045 i'j C+err 1.0000 0
P+err 1 114.7 0
K = 9448.61 Calib Flow = 1 89797.2 1b/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 114:7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb DP Rtd DP+err Fa Rtd 245.3519 245.3519 1.0087 0.00%
0 r
I h Rtd I
Flow+err I
47.32591 524.951 147,384 1 500 GPM..
389 'GPM Fa+err (Note)
T Rtd 1.0045 SHEET:
17 CONT'D O N SHEET:
18 1::
T+err 530.8 0
I Uncertainty
I RWCUFa -616.. 2 lb/hr This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 1 89,197 lb/hr calculated in the reference due to rounding
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.4.2 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight deviation ( RWCUPMA)
This error is the combination of several uncertainties calculated below:
7.2.4.2.1 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac Lookup Tables Error (RWCUPMA1)
The Numac performs the fluid specific weight determination with an error of 0.1 specific weight, this effect in the flow is calculated below.
r = Fluid Specific Weight Ref.: 3.4.1 0 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA1 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd 1.0000 0.00% ::,;,;;;
1.0087 1.0045 C+err 1.0000 0
DP Rtd K = 9448.61 Calib Flow = 1 89797.2 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 1 1 4.7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated hout = 524.95 btu/lb DP+err Fa Rtd I
245.3519 245.3519 1.00871
_0.00%1 -
0 500 GPM 388.8 GPM Fa+err (Note)
I 1.00871 r
P Rtd P+err r
INumac err I r+perr+Numac I h Rtd I
I 1 1 1 4.7 1 1 14.7 psi
³;;,
0 psi 47.3261 O.tJ I
Uncertainty RWCUPMA1 = 156.31b/hr I
47.4261 Note: This value is slightly different to the 1 89,197 lb/hr calculated in the reference due to rounding 524.951 SHEET:
18 CONTD ON SHEET:
19 DATE:
N/A TRtd l
530.81 Flow l
148,157 I
I I
(NC.DE-APzZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/1412017 John Wilkens 3/13/2017 N/A 7.2.4.2.2 RWCU Inlet/Outlet Flow Error due to Fluid Specific Weight Numac 0.75 Factor Pressure Correction Factor Error (RWCUPMA2)
The Numac computer introduces a 0.75 factor to the input pressure raw value and calculates the specific weight for saturated conditions, which bias the actual flow.
Ref.: 3.4.10 Flow+err = c X K X (DP X r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUPMA2 = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated CRtd r = Fluid Specific Weight 1.0000 0.00% j?;[
1.0087 1.0045 C+err 1.0000 0
DP Rtd K = 9448.61 Calib Flow =: 189797.2 lblhr Callb inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1 114.7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated
= 524.95 btu/lb DP+err Fa Rtd I
245.3519 245.3519 1.00871 0.00% I 0
500 GPM 388.8 GPM Fa+err (Note)
I 1.00871 SHEET:
CONT'D ON SHEET: DATE:
N/A T Rtd I
530.81 P Rtd P+err T Sat r+perr INumac rerr I r+perr+Numac I h Rtdout J h Rtd return j*
1 114.7
- 840 psi 75%
523.8 47.58951 Oi 47.58951 524.951
.75 I
Uncertainty I
RWCUPMA2 = -412 lb/hr
_ This a bias and the actual contributed Heat is Higher than indicated Note: This value is slightly different to the 1.89,197 lb/hr calculated in the reference due to roundlng 396.901 19 20 Flow J
148.412 I
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO.:
Michael Miller
_k;::/2017 ORIGINATOR:
REV:
1REVIEWER:
John Wilkens 5
REF:
I DATE:
3/13/2017 7.2.4.2.3 RWCU Inlet/Outlet Flow Heat Error due to Fluid Specific Weight Pressure Loop Uncertainty (RWCUP _SW)
Pressure is utilized as an input to the Numac to determine the specific weight of the fluid. The pressure loop uncertainty combined with the Numac computer uncertainty introduces an error in the calculated specific weight.
The loop error is comprised of 1) pressure loop, PT, 2) NUMAC computer uncertainties. The combined uncertainties are:
I RWCUpress error=l21 psi I
Ref.: 3.4.10 Flow+err = C x K x (DP x r+err I r)A0.5 The flow error is the difference between the rated flow at rated specific weight minus the flow at specific weight plus error:
RWCUp_SW = [ Flowrated (h_in - h_out) - Flowrated+error ( h_in - h_out) ] x 2.93E-07 I 3840 x 100%
Fa Error Rated 533F Calibrated C Rtd r = Fluid Specific Weight 1.0087 1.0045 C+err DP Rtd K = 9448.61 Calib Flow = 189797.2 lb/hr Calib inWC = 403.5 Assumed Calib Temp = 530.8 Assumed Calib Press = 1114.7 r = 47.326 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb DP+err Fa Rtd I
1.0000 1.0000 245.3519 245.3519 1.00871 0.00%
i 0
P Rtd P+err 1000.69 1022 psi 0.00% :erl r+perr I Numac rerr 47.2624 I
TTL MFW Heat I 16,614,845 BTU/hr 0
r+perr+Numac 01 47.2624 16,626,013 BTU/hr at rated conditions Error 1 1,1 68 Uncertainty in Rated MWt RWCUp_sw = 0.0001%
Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding 500 GPM 388.8 GPM Fa+err h Rtd in
!VERIFIER:
N/A (Note)
I T Rtd in I
1.00871 530.81 h Rtd out 509.23 396.90 SHEET:
20 CONT'D ON SHEET:
21 I DATE:
lN/A T Rtd out I
419.41 Flow 147,901
(NC.DE-AP.ZZ-0002(Q), Rev. 12, FOrm 2)
CALCULATION CONTINUATION SHEET CALC NO,:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.3 Reactor Water Cleanup Flow Error due to Flow Element Uncertainty (RWCUc)
The RWCU flow is affected by the FE error that is assigned to the flow element expansion coefficient c
The FE uncertainty is determined based in calculation:
Ref.: 3.4.10 Flow+err = C+err X K x (DP)A0.5 The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUc = Flowrated - Flowrated+error K= 9448.61 Fa Error Rated 533F Calibrated 1.0087 1.0045 Calib Flow = 1 89797.2 LB/HR 500 GPM C Rtd DP Rtd Calib inWC = 403.50 Assumed Calib Temp = 530.80 Assumed Calib Press = 1 114.70 r = 47.33 Assumed Rated Flow = 1 48000 Jb/hr Rated h = 524.95 btu/lb DP+err Fa Rtd 245.3519 1.0087 0.00%
0 I
P Rtd I
r *
_ I h
I Flow I
1 1 14.7 47.3259 525.0 150,220 I
Uncertainty
- - I RWCUc = 2220.0 jb/hr Note: This value is slightly different to the 1 89,197 lb/hr calculated in the reference due to rounding 389 GPM Fa+err VERIFIER:
N/A (Note) 1.0087 SHEET:
21 CONTD ON SHEET:
22 DATE:
N/A T Rtd T+err 530.8 0
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 7.2.4.4 Reactor Water Cleanup Flow Error due to Differential Pressure (DP) Loop Uncertainty (RWCUdp)
This error is introduced by the differential pressure instrument loop. The uncertainties in the loop are found in:
The loop is comprised of 1) flow transmitter, FT, 2) NUMAC computer. The uncertainties are in % DP span:
The flow error is the difference between the rated flow minus the flow with the C coefficient error:
RWCUdp = Flowrated - Flowrated+error RWCU ANU IE 0.100%
Loop Calibration:
RWCU CEFT I
' u. w 0.139%
0.02%
Loop Drift:
RWCU ANU ND I
RWCU VDFT I RWCU VDNU IE IRWCU VDNU ND 0.233%
0.900%
0.127%
0.127%
The uncertainties are random and independent and combined by the SRSS method:
I 1.09%lspan DP I
Flow+err = C x K x (DP+err)A0.5 Fa Error Rated 533F Calibrated C Rtd 1.0087 1.0045 C+err DP Rtd K = 9448.61 Calib Flow = 189797.2 LB/HR 500 GPM Calib inWC = 403.50 Assumed Calib Temp = 530.80 Assumed Calib Press = 1114.70 r = 47.326 Assumed Rated Flow = 148000 LB/HR Rated h = 524.95 btu/lb I
DP+err I
Fa Rtd 389 GPM I
Fa+err I
1.0000 1.0000 245.35191 249.73371 1.00871 1.00871 0.00% lr P Rtd r
1 1 14.7 0
47.3259 h
I Flowrated+err 524.951 149,316 I
Uncertainty I
RWCUdp = 1315.7 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding VERIFLER:
N/A Ref.: 3.4.10 (Note)
T Rtd SHEET:
22 CONT'D ON SHEET:
23 DATE:
N/A T+err 530.8 530.8 f::cz;;rc:i 0
(NC.DE-AP_ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 NIA 7.2.4.5 Reactor Water Cleanup Flow Error due to Signal ConditioningfNSSS Computer Loop Uncertainty (RWCUNSSS_cptr)
The differential pressure is converted to flow by the Numac computer and retransmitted as flow signal to the plant computer for heat balance calculations.
This portion of the loop is comprised of 1) NUMAC computer output, 2) NSSS computer uncertainty. The uncertainties are in % flow span:
Accuracy:
RWCU ANU D/A 0.233%
RWCU AAID 0.188%
RWCU CEA/D 0.188%
Loop Drift:
RWCU VDNU D/A 0.13%
The uncertainties are random and independent and combined by the SRSS method:
I 0.38%lspan FLOW The flow error is the difference between the rated flow at without loop error minus the flow plus loop error:
RWCUNSSS_cptr = Flowrated - Flowrated+error Fa Error Rated 533F Calibrated C Rtd P Rtd 1.0000 0.00%
1 1 14.7 1.0087 1.0045 r
47.3259 DP Rtd K = 9448.61 Calib Flow = 1897972 lb/hr Calib inWC = 403_50 Assumed Calib Temp = 530_80 Assumed Calib Press = 1 114.70 r = 47.33 Assumed Rated Flow = 148000 lb/hr Rated h = 524.95 btu/lb DP+err Fa Rtd 245.3519 245.3519 1.0087 h
Flow 524.95 148,714.0 Uncertainty RWCUNSSS...:_cptr= 7137 lb/hr Note: This value is slightly different to the 189,197 lb/hr calculated in the reference due to rounding RWCU VNA/D 0.000%
500 GPM (Note) 389 GPM Fa+err T Rtd 1.0087 T+err 530.8 530.8 0
23 24 DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 211412017 John Wilkens 311312017 NIA 7.2.4.6 Reactor Water Cleanup Total Flow due to Flow Loop Uncertainties (RWCUf)
RWCU Inlet h - Outlet h.
The total RWCU Flow Uncertainty is calculated below:
RWCUfu =+/-SQRT(RWCUPMA 1 A2+RWCUcA2+RWCUdpA2+RWCUNSSS_cptrA2)-RWCUFa-RWCUPMA2 Notice that the bias PMAs are factored with both signs, since the negative uncertainty is the one that has impact in the heat balance calculations, that is, that (-) les.s indication means that power is higher; however, it will be factored in both directions for simplicity.
I RWCUfu = 371 0 lb/hr I
Then, the heat error contribution is the calculated inlet flow heat error minus the outlet flow heat error:
RWCUh_in = 509.23 btu/lb RWCUh_out = 396.90 btu/lb And the RWCU heat error contribution is calculated by the following expression:
RWCU = [ RWCUfu ( RWCUh_in - RWCUh_out ) x MWt_BTU_hr (conversion factor) ] / Rated MWt 100%
I RWCUf = 0.0032%
!This total error will be treated as bias in the total heat balance error SHEET:
24 CONTD ON SHEET:
25 DATE:
NIA
I I
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET SHEET:
CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
CONT'D ON SHEET:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John WUkens 3/13/2017 N/A 7.2.4.7 Reactor Water Cleanup Flow Enthalpy Heat Error due to Temperature Uncertainty (RWCUht)
This error is the error resultant of temperature measurement errors by the inlet/outlet RWCU thermocouple loops factored into the fluid enthalpy determination.
The thermocouples are instruments with good repeatability and stability. However, fabrication errors can amount to several farenheit degrees.
The fabrication errors can be calibrated out, since essentially it is a bias, systematic error. The temperature loops for RWCU are not calibrated out Finally, since most of the thermocouples loop error is a b.ias, the conservative and safe way to apply the error, is for the two temperature error to be set in the same direction; therefore, the effect is additive, bias. The temperature loops error is found in:
Ref. 3.4.6 The heat error is the difference between the inlet flow heat error minus the outlet flow heat error:
RWCUht = [ Flow [ ( hin - hin+error ) + ( hout - hout+error ) ] ] x 2.93E-07 I 3840 x 1 00%
Out flow heat TRtd T+err P Rtd I
h rated I
h+err I
Flow I
419.4 430.3 Error (F) j0.9 1 000.69 I
396.90 I
408.79 I
Error I
3, 7 41,250 IBTU!hr error at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUht = 0.0285%
This error is a bias 148,ooo 1 25 26 DATE:
N/A
I I
I r
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 311 3/2017 N/A 7.2.4.8 Reactor Water Cleanup Flow Enthalpy Heat Error due to Pressure Loop Uncertainty (RWCUhp)
The reactor water cleanup enthalpy determination is affected by the loop pressure error. The pressure has a very small effect in the water enthalpy, however, it is determined in this calculation. The loop uncertainty is documented in:
Ref.: 3.4.4 The heat error is the difference in the CRD flow heat content at rated flow conditions minus the heat error content at rated conditions plus error:
RWCUhp = [ Flow [ ( hin - hin+error ) - ( hout - hout+error ) ] ] x 2.93E-07 I 3840 x 100%
In flow heat P Rtd P+err 1000.69 1020.89 Error (psi) 20.2 Out flow heat P Rtd P+err 1000.69 1020.89 Error (psi) 20.2 TRtd I
h rated I
h+err I
517.9 I
509.23 I
509.22 I
TRtd I
h rated I
h+err I
419.4 I
396.90 I
396.92 I
Error 5,768 BTU!hr at rated reactor water cleanup flow Uncertainty in Rated MWt RWCUhp = 0.00004%
Flow I
148,ooo 1 Flow l
148,000 1 SHEET:
26 CONT'D ON SHEET:
27 DATE:
N/A
(NC.DE-AP.ZZ-0002(0), Rev. 12, Form 2)
CALCULATION CONTINUATION SHEET CALC NO.:
SC-BB-0525 Attachment 6 REV:
5 REF:
ORIGINATOR:
DATE:
REVIEWER:
DATE:
VERIFIER:
Michael Miller 2/14/2017 John Wilkens 3/13/2017 N/A 7.2.5 Recirculation Pumps Heat Error due to Watts Loop Uncertainty CRRPw)
This section calculates the uncertainty due to RRP watts loop error, calculated in:
Ref.: 3.4.11 The rated power for the pump-motor and the motor efficiency (0.93) is from reference:
(Ref. 3.4.3)
There are two recirculation pumps, the calculated error below is.per pump. The actual total MW for the 2 pumps is taken from above reference.
W 2 pump = 7.33 The Watt error contribution is calculated as follows:
RRPw = [ ( W Rtd/pump + MW Loop Span x Span err ) x Mottor eff ] - W Rtd/pump x Motor eff] I 3840 x 1 00%
I W Rtd/pmp+Em 3.823 Motor Eff W+err 0.93 3.55 Error =11;50}'/ci span ***
Span ÉI]::GiiiJ ITTL Mwatt.
3.411Mwatt Error 0.1465 Mwatt Uncertainty in Rated MWT RRPw = 0.0038%
SHEET:
27 CONTD ON SHEET:
28
. DATE:
N/A
(NC.DE-AP.ZZ-0002(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller 7.2.6 Thermal Loses (TL)
I DATE:
2/14/2017 REV:
5 REF:
I REVIEWER:
John Wilkens 1;;;/2017 This section calculates the uncertainty due to TL error. This error will be treated as a bias error since the estimated value is larger or smaller than assumed, i.e. it is a fixed error not a random error.
An assumed error equal to 20% of the specified loses is used.
The rated Heat Loss is from reference:
(Ref. 3.4.2)
W Rtd W+err 1.1 1.32 Error - 20.00%
'TTL Mwatt Heat I
1.32 MW 1.10 MW at rated conditions Error 0.2200 MW error at rated radiated loses I
Unce
__ rtainty in Rated MWT lThis error is treated as bias.
TL = 0.006%
'VERIFIER:
N/A Note: The computer utilizes this value combined with Other System Loses (Section 7.2.7) as Radiative power loses, ORAD = 1.94 SHEET:
28 CONT'D ON SHEET:
29 1-T;=
(NCDE-AP.ZZ-0002(Q), Rev. 1 2, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO":
ORIGINATOR:
Michael Miller IDATE:
2/14/2017 7.2.7 Other System Loses (OSL)
REV:
I REVIEWER:
John Wilkens 5
REF:
1:;/2017 I VERIFIER:
N/A The rated value includes Rod Drive seal purge flow to recirculation pumps. An assumed error equal to 20% of the specffied loses is used.
This errorwifl be treated as a bias error since if the estimated value is larger or smaller than assumed, i.e. it is a fiXed error not a random error.
The rated Losses figure is from reference:
(Ref. 3.4.2)
W Rtd W+err "1.18 Error - 20% *****
- J 1.416!
I TTL Mwatt Heat -1 1.42 MW 1.1 8 MW a t rated conditions E rror 0.2360 MW error at rated radiated loses Uncertainty in Rated MWT OSL = 0.006%
This error is treated as bias.
Note: The computer utilizes this value combined with Thermal Loses (Section 7.2.6) as Radiative power loses, ORAD = 1.94 SHEET:
29 CONT'D ON SHEET:
30 1:;
!Rev s
!Rev S jRev S
!Rev S
! Rev S
(NC.DE-AP.ZZ-DDD2(Q), Rev. 12, Form 2)
SC-BB-0525 Attachment 6 CALCULATION CONTINUATION SHEET CALC NO.:
ORIGINATOR:
Michael Miller I DATE:
2/14/2017 7.2.8 Heat Balance Calculation Power Uncertainty (Power U )
REV:
I REVIEWER:
John Wilkens 5
REF:
1;;/2017
-rVERIFIER:
IN/A The calculated heat balance uncertainty is the algebraic combination of the bias errors with the independent/random errors statistically combined, that contribute into the heat balance calculation, in accordance with the heat balance formula:
Power = MFW(MSh-FWh)-CRDF(hin-hout)+RWCU(hout-hin)-RRP+HL+Miscellaneous Summary of Heat Balance Calculation Contributing Errors:
Random Errors:
FWm = 0.3548%
FWht = 0.1775%
MSm = 1.401 7%
MSmoist = 0.0000%
CRDc = 0.0054%
CRDdp = 0.0062%
RRPw = 0.0038%
RWCUp sw = 0.0001 %
Dependent Errors:
Errors Variable FWhp = 0.0012%
Rated MS pressure = 1 001 psi a MShp = 0.0253%
CRDhp = -0.00005%
RWCUhp = 0.00004%
Bias Errors:
CRDt = -0.0012%
CRDht = -0.0097%
RWCUf = 0.0032%
RWCUht = 0.0285%
TL = 0.006%
OSL = 0.006%
Heat Balance Calculation Power Error (U):
Power Error = SQRT[(MSm-FWm)A2+(MShp-FWhp+CRDhp+RWCUhp)A2+FWhtA2+MSmoistA2+CRDcA2+CRDdpA2+
+RWCUp_sw"2+RRPwA2x2]+CRDt+CRDht+RWCUf+RWCUht+ TL +OSL Power Error = 1.095%
SHEET:
30 I
CONT'D ON SHEET:
31 TDATE:
IN/A Rev 5 1Rev 5 To ensure operation margin exist, due to possible instrumentation loops miss-calibration, actual drift (to be determined by history), etc., a margin is added:
Power U = Power Error + Margin where margin is defined as 2.0% (SET POWER U) - Power Error Margin = 0.905%
and Power U = 2.000%
CALC NO.:
ORIGINATOR:
Michael MiJier (NC.DE-AP.ZZ-0002(Q), Rev. 1 2, Form 2)
SC-BB-0525 Attachment 6 I DATE:
2/1412017 8.0
SUMMARY
REV:
I REVIEWER:
John Wilkens CALCULATION CONTINUATION SHEET 5
REF:
I DATE:
3/13/2017.
!VERIFIER:
N/A The calculated Heat Balance Error performed in this calculation is applicable to the hand calculation error when determined process values and steam tables heat values are used with an accuracy of 3 decimal places. This results are applicable to hand calculated heat balance since less hardware errors are involved in the hand calculation, data collection. The Heat Balance calculation error (Section 7.0) is:
Power U = 2.000%
SHEET:
31 CONT'D ON SHEET:
N/A 1::
SC-88-0525 Attachment 7 Page 1 of 1 Figure 3-2: Reactor Heat Balance - TLTP (101.6% of CL TP)
[TFw = 433.5°F I PDoM E = 1020 psia)
Legend
= Flow, lbm/hr H = Enthalpy, Btu/lbm F = Temperature, op M = Moisture, %
P = Pressure, psia
17. 1 00E+06 #
Wd = 100 %
526.0 H 53 1.6 °F 6h = 1.1 I-I Main Steam Flow 17.086E+06 #
r-,

1>'10--

1 191.5 H
0.48 M
Carryunder =
0.40%
952 p
Main Feed Flow 17.202E+06 #
412.4 H 433.5 °F 17.054E+06 #
412.4 H 433.5 °F JJ,l 1.480E+05 #
412.7 H 433.8 °F 3.200E+04 #
48.0 H 77.0 oF Core Thermal Power Pump Heating Cleanup Losses Other System Losses Turbine Cycle Use Control Rod Drive Feed Flow 1- - - - - - - -
- - - - - -1 Cleanup Denrineralizer I
I System L - - - - - - -
I 1.480E+05 #
524.9 H 530.7 °F
Conditions at upstream side ofTSV 3902.0 10.7
-4.9
-2.6 3905.2 MWt
SC-BB-0525 *Attachment 8 Page 1 of 1 Figure A-1 Reactor Heat Balance at 100% TL TP I 100%F Reduced FW Tem perature Legend
= Flow, lbm'hr H = Enthalpy, Btu/Ibm F = Temperature, °F M = Moisture, %
P = Pressure, psia Wd = lOO %
510.1 H 5 18.7 °F
.'lh = 1. 1 H 3.200E+04 #
48.0 H 77.0 oF Core Thermal Power Pump Heating Cleanup Losses Other System Losses Turbine Cycle Use 100.QE+06 Main Steam Flow 14.994E+06 # *
) < '
1---------
r-, '[><]
1192.3 H
0.38 M
Carry under =
0.40%
948 p
Main Feed Flow 15.1 10E+06 #
304.9 H 332.4 °F 14.962E+06 #
304.0 H 331.5 °F 1.480E+05 #
396.8 H 419,2 °F
- - - - - -I Cleanup Demineralizer I
I System L - - - - - - -
Control Rod Drive Feed Flow 1.480E+05 #
509.0 H 5 17,8 °F 3902.0 10.7
-4.9
-2.6 3905.2 MWt
Conditions at upstream side ofTSV

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