ML042390217

Calculation RNP-I/INST-1041, Rev 3, Feedwater Flow Loop Uncertainty and Scaling Calculation, for H. B. Robinson Unit 2

ML042390217
Person / Time
Site:	Robinson
Issue date:	09/13/2002
From:	Hunter R, Will Smith Progress Energy Co
To:	Document Control Desk, Office of Nuclear Reactor Regulation
References
RNP-I/INST-1041, Rev 3
Download: ML042390217 (100)

Text

SYSTEM FILE NO. 3020,3050 CALC. TYPE ID IE PRIORITY 0 CAROLINA POWER & LIGHT COMPANY CALCULATION # RNP-IfINST-1041 FOR Feedwater Flow Loop Uncertainty and Scaling Calculation FOR H. B. ROBINSON UNIT 2 YES NO SAFETY RELATED : 0 [1 AUGMENTED QUALITY: L N NON SAFETY: [0 El APPROVAL REV. PREPARDIbY REVIEWED BY CROSS DISCIPLINE SUPERVISOR NO. DATE'. DATE REVIEW BY DATE

. DISCIPLINE / DATE 1 Signature on File Signature on File REASON FOR CHANGE:

2 Signature on File Signature on File f REASON FOR CHANGE:

3 lW. Roert Smith g1we UwtT J5 W REAiSzONFO/28/02 IC Qua B - -d -L REASONFORCHANGE: 5e,se M 6/ 1.Ay--er

Computed By: Date: CAROLINA POWER & LIGHTCOMPANY Calculation ID:

W. Robert Smith 08128 / 02 RNIItVINST-1041I Checked By: Date- CALCULATION SHEET Pg. I of 93 Rev: 3 Bob Hunter 08 /28/ 02 Project No.: N/A File:

Project

Title:

N/A CalculationTitle: Feedwater Flow Loop Uncertainty and Scaling Calculation Tshle nr Contentt SE.C DFqrRT(TION PACYF REVISION HISTORY ................................... 4 1.0 OBJECTIVE .............. 5 2.0 FUNCTIONAL DESCRIPTION...............................................................................................6 2.1 NORMAL FUNCTION .......................................... 6 2.2 ACCIDENT MITIGATING FUNCTION.......................................................................................................6 2.3 POST ACCIDENT MONITORING FUNCTION .......................................... 6 2.4 POST SEISMIC FUNCTION ............................... .. 7 3.0 LOOP DIAGRAM .......................... 7

4.0 REFERENCES

.......................... 9 4.1 DRAWINGS ............................... 9 4.2 CALCULATIONS ................................. 9 4.3 REGULATORY DOCUMENTS .......................... .. .. 9 4.4 TECHNICAL MANUALS ,,. ... 9 4.5 CALIBRATION AND MAINTENANCE PROCEDURES .................................................. 10 4.6 PROCEDURES .................................................. 10 4.7 OTHER REF ERENCES.:10 5.0 INPUTS AND ASSUMPTIONS..................................................... I 6.0 CALCULATION OF UNCERTAINTY CONTRIBUTORS . ...............................23 6.1 ACCIDENT EFFECTS (AE) ...................................................... 23 6.2 SEISMIC EFFECT (SE).............................................2...................................................................................623 6.3 INSULATION RESISTANCE ERROR (IR) ..................................... 24 6.4 PROCESS MEASUREMENT ERROR (PME) ..................................... 24 6.4.1 Process Measurement Error - Normal Environment .................................................... 24 6.4.2 Process Measurement Error - Accident Environment .................................................... 26 6.5 PRIMARY ELEMENT ERROR (PE) ............................. 26 6.6 TRANSMITTER (FT-497. ROSEMOUNT I 153HA5) ................................................ 28 6.6.1 Transmitter's Unverified Attributes of Reference Accuracy (RAxmir) .................................................. 28 6.6.2 Transmitter Calibration Tolerance (CAL,,,,) ....................................................... 29 6.6.3 Transmitter Drift (DR.m,,) ....................................................... 29 6.6.4 Transmitter M&TE Effect (MTEamtr) ....................................................... 29 6.6.5 Transmitter Temperature Effect (TEh,,,t,) ....................................................... 30 6.6.6 Transmitter Static Pressure Effect (SPEmt,).......................................................................................30 6.6.7 Transmitter Power Supply Effect (PSE,, 1 ) .................................. 31 6.6.8 Transmitter Total Device Uncertainty (TDUm,,)........................................................ 31 6.6.9 Transmitter As Found Tolerance (AFT,,my) ....................................................... 31 6.6.610 Transmitter As Left Tolerance (ALT. ...) ....................................................... 32 6.7 TRANSMITTER (FT-477 AND Fr-487. ROSEMOUNT 1153DA5) ..................................... 33 6.7.1 Transmiuer's Unverified Attributes of Reference Accuracy (RAir,,) .................................................. 33 6.7.2 Transmitter Calibration Tolerance (CAL mir) ....................................................... 33

Computed By: 0 a212 CAROLNA POWER & LIaH(ToC PANY Calculation ID:

W. RobertSnmih 08/281 02 OARNP-I/NST-1041 Checked By: Date: CALCULATON SHEFr P.2 of 93 cv:3 Bob Hunter 08 1281 02 Project No.: NIA File:

Project Tihc NIA Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6.7.3 Transmitter Drift (DRi,,,,) ............................................................... 33 6.7.4 Transmitter M&TE Effect (MTEX,,) ............................................................... 34 6.7.5 Transmitter Temperature Effect (TE, ,) ................................................................ 34 6.7.6 Transmitter Static Pressure Effect (SPEx,,T) ............................................................... 35 6.7.7 Transmitter Power Supply Effect (PSE1,,,) ............................................................... 35 6.7.8 Transmitter Total Device Uncertainty (TDUtmt) ............................................................... 35 6.7.9 Transmitter As Found Tolerance A....... ................................................................ 36 6.7.10 Transmitter As Left Tolerance (ALT.mtT). . ............................................................... 36 6.8 TRANSMITTER (FT-476. FT-486 AND 1r-496, ROSEMOUNT 1151 DP5) ............................................ 37 6.8.1 Transmitter's Unverified Attributes of Reference Accuracy (RAlm,,) .................................................. 37 6.8.2 Transmitter Calibration Tolerance (CALm,) ............................................................... 37 6.8.3 Transmitter Drift (DR,,3)7.....................................................................................................................637 6.8.4 Transmitter M&TE Effect (MTE,,,,,) ................................................................ 38 6.8.5 Transmitter Temperature Effect (TE...)................................................................. 38 6.8.6 Transmitter Static Pressure Effect (SPE 2 mW,).........................................................................................39 6.8.7 Transmitter Power Supply Effect (PSEx.ir) ................................. 39.-----------................

39 6.8.8 Transmitter Total Device Uncertainty (TDUxmu) ..................................... 40 6.8.9 Transmitt As Fou er Tolerance nd (AFTimtr).40 * -.............................................. 40 6.8.10 Transmitter As Let Tolerance (ALTtXm,,) ....................................... 41 6.9 COMPARATOR MODULE ....................................... 42 6.9.1 Comparator's Unverified Attributes of Reference Accuracy (RA.omp) ................................................. 42 6.9.2 Comparator Calibration Tolerance (CALco.p) .................................................... 42 6.9.3 Comparator Drift (DRo.p) .................................................... 42 6.9.4 Comparator M&TE Effect (MTEcomp) .................................................... 43 6.9.5 Comparator Temperature Effect (TEcop) ............................................. 43 6.9.6 Comparator Power Supply Effect (PSEW.v) ... 43 6.9.7 Comparator Total Device Uncertainty (TDUCoP) .4 6.9.8 Comparator As Found Tolerance (AFrCOp)....................................................................................44 6.9.9 Comparator As Left Tolerance (ALTcWWp) . 45 6.10 ISOLATOR MODULE .. 46 6.10.1 Isolator's Unverified Attributes of Reference Accuracy (RA 3,s).46 6.10.2 Isolator Calibration Tolerance (CALtso) .46 6.10.3 Isolator Drift (DRite).46 6.10.4 Isolator M&TE Effect (MTEiso).........................................................................................................47 6.10.5 Isolator Temperature Effect (TEijw)....................................................................................................47 6.10.6 Isolator Power Supply Effect (PSE1. 1)................................................................................................48 6.10.7 Isolator Total Device Uncertainty (TDU,,,) .48 6.10.8 Isolator As Found Tolerance (AFTiR1 ) .48 6.10.9 Isolator As Left Tolerance (ALT 1o) .49 6.11 SQUARE ROOT MODULE .. 50 6.11.1 Square Root Module's Unverified Attributes of Reference Accuracy (RAv) .50 6.11.2 Square Root Module Calibration Tolerance (CAL~q) ............................................ SO.....................50 6.11.3 Square Root Module Drift (DRqn) .50 6.11.4 Square Root Module M&TE Effect (MTEq,)...................................................................................51

Computed By: Date: POWER & LIGHT CAROLINA COMPANY alculation ID:

W. Robea Smith 08/28/ 02 CAOiAPWR lHc~AYRNP-VINST.1041 Checked By: Date: CALCULATION SIEET Pg.3 Of 9 3 Rev: 3 Bob Hunter 08128/02 .

Prject No.: N/A File:

Projectnitk: N/A ICalculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6.11.5 Square Root Module Temperature Effect (TEsqr) .................................................... 51 6.11.6 Square Root Module Power Supply Effect (PSESqn)...........................................................................5 1 6.11.7 Square Root Module Total Device Uncertainty (TDUw0 ) .................................................... 52 6.11.8 Square Root Module As Found Tolerance (AFT14' ) ..................................................... 52 6.11.9 Square Root Module As Left Tolerance (ALTM0 )..............................................................................53 6.12 INDICATOR ..................................................... 54 6.12.1 Indicator's Unverified Attributes of Reference Accuracy (RA.,,)..................................................... 54 6.12.2 Indicator Calibration Tolerance (CAIid)........................................................................................... 54 6.12.3 Indicator Drift (DRMm,,) ..........................................-... 54 6.12.4 Indicator M&TE Effect (MTEind) ................................... 55 6.12.5 Indicator Temperature Effect (TEi,,d) ................................... 55 6.12.6 Indicator Power Supply Effect (PSEimj) ................................... 55 6.12.7 Indicator Readability (RD,,, 1) ................................... 56 6.12.8 Indicator Total Device Uncertainty (TDUW,) ................................... 56 6.12.9 Indicator As Found Tolerance (AFTr.d) .................................... 56 6.12.10 Indicator As Left Tolerance (ALTi,) .................................... : 57 6.13 RECORDER .................................... 58 6.13.1 Recorder's Unverified Attributes of Reference Accuracy (RA.) .................................................. 58 6.13.2 Recorder Calibration Tolerance (CAL.,,) ................................. 58 6.13.3 Recorder Drift (DREW) ................................. 58 6.13.4 Recorder M&TE Effect (MTE,.) ................................. 59 6.13.5 Recorder Temperature Effect (TE,,,)..................................................................................................59 6.13.6 Recorder Power Supply Effect (PSEwc) ................................. 60 6.13.7 Recorder Readability (RD,,,) ................................. 60 6.13.8 Recorder Total Device Uncertainty (TDUC) .................................................................. 60 6.13.9 Recorder As-Found Tolerance (Ar1T,,) .................................................................. 61 6.13.10 Recorder As Left Tolerance (ALTC)...............................................................................................61 7.0 TOTAL LOOP UNCERTAINTY (TLU) ........................................................ 62 7.1 TOTAL LOOP UNCERTAINTY - PLANT NORMAL .................................................................. 62 7.1.1 Total Loop Uncertainty - Input to ERFIS .................................................................. 62 7.1.2 Total Loop Uncertainty - Indicator FI-476.477.486.487,496, AND 497 ......................................... 63 7.1.3 Total Loop Uncertainty - Recorder FR-478,488. AND 498 ................................................................ 64 7.1.4 Total Loop Uncertainty - Comparators .................................................................. 65 7.2 TOTAL LOOP UNCERTAINTY - ACCIDENT .................................................................. 65 7.3 TOTAL LOOP UNCERTAINTY - POST SEISMIC .................................................................. 65 7.4 LOOP AS FOUND TOLERANCE .................................................................. 68 7.4.1 Loop As Found Tolerance - Indicator FP-476,477,486.487,496 AND 497 ...................................... 68 7.4.2 Loop As Found Tolerance - Recorder FR-478,488 AND 498 ............................................................. 69 7.4.3 Loop As Found Tolerance - Input to ERFIS .................................................................. 69 7.4.4 Loop As Found Tolerance - Comparators .................................................................. 70 7.5 GROUP AS FOUND TOLERANCE .................................................................. 71 7.5.1 Group As Found Tolerance - Indicator FP-476,477.486.487.496 AND 497 .................................... 7 1 7.5.2 Group As Found Tolerance - Recorder FR-478,488 AND 498 ........................................................... 71 7.5.3 Group As Found Tolerance - Input to ERFIS .................................................................. 71

W. Rotxm t Smith 0 t CAROLINA POWER & LIGHT (COMPANY Cakubtion 11):

W~br~ih08128 / 02 RNP-VINST. D14 Checked By: Date: CALCULATION SHEET Pg. 4 of 93 Rcv 3 Bob Hunter 08/ 28 / 02 Poject No.: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 7.5.4 Group As Found Tolerance - Comparators...........................................................................................72 8.0 DISCUSSION OF RESULTS .................................................................... 73 8.1 IMPACT ON IMPROVED TECHNICAL SPECIFICATIONS .................................................................... 78 8.2 IMPACT ON UFSAR ................................................................................. 78 8.3 IMPACT ON DESIGN BASIS DOCUMENTS ................................................................................. 78 8.4 IMPACT ON OTHER CALCULATIONS....................................................................................................78 8.5 IMPACT ON PLANT PROCEDURES ................................................................................. 79 9.0 SCALING CALCULATIONS .................................................................... 80 9.1 FLOW TRANSMITTER (F-476,477.486.487.496 AND 496) ................................................................. 80 9.2 ISOLATOR MODULE (FM-476A. 476B. 477A. 47713. 486A. 48613. 487A, 487B, 496A, 496B. 497A.

AND 497B) ................................................................................. 88 9.3 COMPARATOR MODULE (FC-478A, 478B, 488A. 488B,498A. AND 498B) ......................................... 89 9.4 COMPARATOR MODULE (FC478C. 478D. 488C. 488D. 498C. AND 498D) ......................................... 90 9.5 SQUARE ROOT MODULE (FM-476,477,486,487,496. AND 497) ........................................................ 91 9.6 INDICATOR (FI-476,477,486.487,496. AND 497) ................................................................................. 92 9.7 RECORDER (FR-478,488, AND 498) ............................. 93 TXRT OF ATTACHMFNTS PLACES Attachment A - Calculation Matrix I Attachment B - Comparator Drift I Attachment C - International Instruments Indicator Data I Attachment D - Rosemount Transmitter Drift I REVIRION HIIST)ORY REVlJ5JlON D)F(SCRIPTION OF CHANCE I Revised calculation to consider seismic uncertainties. The fonnat of the calculation was revised to follow the calculation methodology presented in EGR-NGGC-0 153.

2 Revised calculation to account for the change in feedwater flow as a result of the power uprate. Changed recorder to a Yokogawa VR204 to rcflcct changes made by EC 47208. This calculation provides input to EC 47152 & EC 47162.

3 Corrected errors in Section 7.3 (Feedwater Flow / Steam Flow Mismatch setpoint Total Loop Uncertainty) and revised Section 8.0 as needed.

Computed By: Date: CAROLINA POWER & UGHTCOMPANY Calculation ID:

W. Robert Smith 08/28/ 02 C O RNP-VINST-1041 Checked By: Date: CALCULATION SHE pg. 5 or 93 Rev: 3

{ob Hunter 08 /28/ 02 Project No.: N/A AF Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 1.0 ORM IFCTIVF This calculation computes the loop uncertainties associated with the indication, recording, alarm, and trip functions provided by the Feedwater Flow instrumentation loops. The loops addressed in this calculation also provide input to the Emergency Response Facility Information System (ERFIS). Uncertainties at the input to the ERFRS are calculated.

Uncertainties are calculated for normal and post-seismic event conditions only. This calculation develops the Reactor Protection System (RPS) setpoint associated with each instrument loop. This calculation also calculates the Allowable Value for the RPS setpoint addressed in this calculation. Uncertainties associated with the control functions provided by the Feedwater Flow loops are not calculated.

The instrument loops containing the following components are addressed in this calculation:

Fr-476, 477, 486, 487, 496,497 FQ476, 477,486 FQ487, 496,497 FM-476A/R, 476B1/R FM-477A/R, 477B/R FM486A/R, 486B/R FM-496A/R, 496B1/R FM-476,477, 486 FM-487, 496, 497 FC-478A, 478B, 478C FC-478D, 488A, 488B FC-488C, 488D, 498A FC-498B, 498C, 498D FI-476,477, 486 F1487, 496,497 F-476,477, 486 F-487, 496, 497 FR478,488,498 FM-476A, 476B, 477A FM477B, 486A, 486B FM-487A, 487B, 496A FM-496B, 497A, 497B

Computed By- Date- AOIAPWR&:AMMPN Calculation la.

W.Robed Smith 081281 02 CAROLINA POWER& LICwrTcom['ANY RNP-V/INST-1041 Checked By: Date: CALCULATION SHEET Pgi6 of 93 Rev: 3 Bob Hunter 08 128/ 02 l Project No.: NIA IiMc:

Project Tite: NIA cucactionTlak Feedwater Flow Loop Uncertainty and Scaling Calculation 2.0 FITNCTIONAT. DESCRIPTION The Feedwater Flow channels are used for protection, feedwater control, recording, and indication. The feedwater control function is not considered in this calculation.

The instrument loops, which are the subject of this calculation, provide the following protective function:

• Steam Flow I Feedwater Flow Mismatch Reactor Trip 21 NORMAL. FITNMTION The Feedwater Flow loops provide indications of Feedwater Flow on indicators Fl -476, 477, 486, 487, 496, and 497 in the main Control Room during normal operation. Feedwater flow is recorded by FR478, 488, and 498. These loops provide input to ERFIS and feedwater control. These loops provide input for the alarms associated with feedwater flow > steam flow and steam flow > feedwater flow.

2.2 AcrilnENT MITTGATING FITNCTION The instrument loops addressed by this calculation produce a Steam Flow I Feedwater Flow Mismatch Reactor Trip signal which is interlocked with the Steam Generator Low Level Reactor Trip function.

2-3 POST ACCIDIRNT MONITORING FITNCTION Per Reference 4.6.2, the feedwater flow loops are designated as RG 1.97 Category D3 variable.

Robert Smith CV. Date8 CAROLINA POWER & LIGHT COMPANY CRalulition ID:

Checked By: Date: CALCULATIONSHEET Pg 7 of 93 Rcv: 3 Bob Hunter 08128/ 02 1 Precst No.: N/A File:

Project

Title:

N/A Calcubtion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 24 POST SIFIMW FVIINCITON Per Reference 4.7.12, the steam flow I feedwater flow mismatch function is required to operate following a seismic event. Therefore, seismic uncertainties are computed for this function.

30 TLOOP DIAGRAM IN J FT.476 FQ476 F1476B/R FM-476 l . -478D Feedwatcr FIlaw> Sicam Flow

= OM P Alatrm Feedwatcr Flow I Stcam I'low FC478A Mismatch (RTS)

COMP ' Flow / Steam Flow

_Feedwater Mismatch Alarm FM476A VFIN476D V/1 Oisolator) IND

• Also receives an input from steam flow loop F474. See Reference 4.2.3.

Note: Similar for F-477, 486,487, 496, and 497

comptedBy:Dat: CROLNA PWER& LGHTCOMANYCalculation ID:

W Robert Smith 08128/ 02 CAROLINA WER & LIGHT COMPANY RNP.1/INST-104 I

C'bcked By- Date: CALCULATION SHEET P& 8 of 93 Rev- 3 13oh Hunter 08 1 29 / 02 ject No.: NIA - II File:

Project

Title:

N/A Calculation Titke: Feedwatcr Flow Loop Unccrtainty and Scaling Calculation TAG NUMBER N MAKE AND MODEL I LOCATION REFERENCE Fr-476,496, 486 Transmittcr Rosemount 1151 DP5 Turbinc Building 4.1.1 -3.4.7.4 FT-477.487 Transmitter Rosemount 1153DA5 Turbine Building 4.1.1-3.4.7.4 FT-497 Transmitter Rosemount 1153HA5 Turbine Buildinn 4.1.1-3.4.7.4 FQ-476, 477,486 Power Hagan Optimac Hagan Rack 4.1.1-3, 4.7.4 FQ-487,496,497 Supply Model 137-121 Or NUS SPS-801 FM-476A/R, 476B1R 1/V Hagan Model Hagan Rack 4.1.1 -3 4.7.4 FM-477A/R, 477B/R 3110554-000 FM-486A/R, 486BIR FM-496A/R. 496B/R _

FM476,477,486 Computer Hagan Model Hagan Rack 4.1.1-3, 4.7.4 FM-487, 496, 497 Module 475000 Or NUS MBA 800 FC478A, 478B, 478C Comparator Hagan Model 118 Hagan Rack 4.1.1-3,4.7.4 FC-478D, 488A, 488B Or NUS SAM 800 FC-488C, 488D, 498A Or NUS DAM 800 FC-498B1 498C. 498D F1476, 477,486 Indicator International RTGB 4.1.1-3,4.7.4 Fl-487. 496. 497 Instruments 2520 _

F-476,477,486 IV Hagan Computer Hagan Rack 4.1.1-3,4.7.4 F-487,496,497 Signal Conditioner 3110552-000 FR-478.488.498 Recorder Yokogawa VR204 Control Room 4.7.4.4.7.1l FM476A, 476B, 477A V/I Hagan Model 110 Hagan Rack 4.1.1-3,4.7.4 FM477B, 486A, 486B Isolator Or NUS OCA 800 FM-487A, 487B, 496A FM-496B. 497A, 497B Instrument Identification

Computed By Da8zC: PWoER & LGtHT CAROLINA COMPANY) Caku- tio 1 W. RobertStrz~h OttOUAIO2R 1 CZCMPNYRNP.VINST.1041 Checkcd By Date: CALCULATION SHEET Pg.9of 9F Rev: 3 Bob Hunter 08 128 / 02 Project No.: N/A fik-:

I Project

Title:

W/A Clkukztion Taitle Feedwater Flow Loop Uncertainty and Scaling Calculation 4-0 RFFERFNCES 4.1 DRAWINGq 4.1.1 5379-03494, Hagan Wiring Diagram, Revision 14 4.1.2 5379-03498, Hagan Wiring Diagram, Revision 16 4.1.3 5379-03499, Hagan Wiring Diagram, Revision 17 4.1.4 HBR2-11135, RTGB Panel C - Annunciator Section, Sheet 2, Revision I 4.1.5 HBR2-1 [135, RTGB Panel C - Vertical Section, Sheet 3, Revision 0 4.1.6 5379-03440, Steam Generator Level Control and Protection System, Revision 10 4.1.7 5379-03485, Hagan Wiring Diagram, Revision 19 4.1.8 5379-03486, Hagan Wiring Diagram, Revision 19 4.1.9 5379-03487, Hagan Wiring Diagram, Revision 19 4.2 CALCUILTATIONS 4.2.1 RNP-E-1.005, 120 VAC Instrument Bus Voltage Evaluation, Revision 2 4.2.2 RNP-M/MECH-1651, Containment Analysis Inputs, Revision 10 4.2.3 RNP-IJINST-1040, Main Steam Flow Accuracy and Scaling Calculation, Revision 3 4.2.4 RNP-M/MECH-1616, Calculation for the Continuous Calorimetric, Revision 1 4.2.5 RNP-MIMECH-1741, 32-5015594-00 Appendix K Power Uprate Operating Conditions, Revision 0 4.2.6 RNP-I/lNST-1 125, ERFIS Feed Flow Automatic Calorimetric Uncertainty Calculation, Revision 3 4.3 REGu ILATORY DOCI ENTIS 4.3.1 None 4.4 TECHNICAL. MANUALS 4.4.1 728-589-13, Vendor Manual Hagan, Revision 22 4.4.2 728-399-88, AuxiliaTy Indicating Meters Bulletin Model 2500 2520, Revision 2 4.4.3 728-012-10, Vendor Manual Rosemount, Revision 25

Computed By: Date: POWER & LIGHT CAROLINA COMPANYCalculation ID:

WV.Poben Smith 08 / 28 / 02 AOUAWE&LI OPNYRNI'-VIN.T-1C041 Checked By: Date: CALCULATON SHEET Pg.1I of 93 RCV: 3 Bob Hunter 08128 / 02 Project No.: N/A File:

Project Tritl N/A Calculation

Title:

Feedwater Ilow Loop Uncertainty and Scaling Calculation 4-5 CATIRRATION AND MATNTFNANCF PROCEnlTRFS 4.5.1 LP-351, Steam Generator#1 Level (F.W. Flow) Channel 476, Revision 10 4.5.2 LP-352, Steam Generator #2 Level (F.W. Flow) Channel 486, Revision 11 4.5.3 LP-353, Steam Generator #3 Level (F.W. Flow) Channel 496, Revision 8 4.5.4 LP-354, Steam Generator #1 Level (F.W. Flow) Channel 477, Revision 10 4.5.5 LP-355, Steam Generator #2 Level (F.W. Flow) Channel 487, Revision 12 4.5.6 LP-356, Steam Generator #3 Level (F.W. Flow) Channel 497, Revision 9 4.5.7 PIC-844, Yokogawa Recorders, Revision 0 4.6 PROCDFD IRES 4.6.1 EGR-NGGC-0153, Engineering Instrument Setpoints, Revision 9 4.6.2 TMM-026, List of Regulatory Guide 1.97 Components, Revision I 8 4.6.3 MMM-006, Appendix B4, Calibration Data Sheets, Revision 1 4.6.4 MMM-006, Calibration Program, Revision 22 4.7 OTHFR RE RERFNCES 4.7.1 Updated Final Safety Analysis Report 4.7.2 Technical Specifications, Amendment 176 4.7.3 RNP-F/NFSA-0045, RNP Cycle 21 Reload Plant Parameters Documents, Revision 2 4.7.4 Equipment Data Base (EDB) 4.7.5 ASME Steam Tables 6'h edition 4.7.6 R82-226/01, DBD for Control Room Habitability Modifications 993&994, Revision 6 4.7.7 727-702-25, Feedwater System Instrumentation Flow Westinghouse Manual Number W-1003, Revision 0.

4.7.8 ASME Fluid Meters Their Theory and Application, Sixth Edition, 1971 4.7.9 WNEP-8372, Model 44F Steam Generator Thermal and Hydraulic Design Data Report, Revision 3, April 1, 1985 4.7.10 CPL-89-660, Steam Flow Measurement at Low Power Levels Memo NF-92A-0158, From: R. G. Matthews, To: Marvin Page,

Subject:

Westinghouse Letter CPL-89-660 4.7.11 EC 47208, Replacement of RTGB Recorders

Computed By: Date: CAON OE IHCMAYCalculation ID-IW. Roben Smith 08 28/ 02 CAROUINA POWER & LIGHT COMPANY RNP.VINST 041 Checked By Date: CALCULATION SHEET Pg. II Of 93 Rev: 3 Bob Hunter 08/ 28/ 02 Project No.: NIA File:

Project

Title:

N/A Ccui Title rtdwater Flow Loop Uncertainty and Scaling Calculation 4.7.12 DBD/R87038/SDO6, Design Basis Document, Reactor Safeguards and Protection System, Revision 5 4.7.13 EC 47152, Ultrasonic Feedwater Flow Measurement 4.7.14 EC 47162, Set-points, Uncertainty Calc. Changes For Appendix K Uprate 4.7.15 EC 47160, NSSS AND BOP ANALYSIS TO SUPPORT APPENDIX K UPRATE, Design Section, Para. F.5.7.p 5Q INPN ITS AND ASCT TMPTIONS 5.1 The accuracy of a typical test resistor is on the order of +/- 0.01%. Therefore, the test resistors used during calibration are assumed to have a negligible impact on the overall uncertainty calculation.

5.2 Per Reference 4.7.6, the ambient temperature in the Control Room varies from 70 0F to 77 0F during operation. The calibration temperature for the indicator and recorder is assumed to be 60 0 F. Therefore, a change in temperature of 170F (9.4 0C) is used to compute the indicator and recorder temperature effects.

5.3 Per Reference 4.7.4, the pressure transmitters are located in the Turbine Building. The Turbine Building is an open structure. The minimum temperature used to compute the transmitter temperature effect is assumed to be 330Ev, because the transmitters are located in thermostatically controlled enclosures. Per Reference 4.7.1, the maximum temperature in the Turbine Building is 107 0F.

5.4 Per Reference 4.6.1, reference accuracy typically includes the effects of linearity, hysteresis, and repeatability. The indicator reference accuracy given in Reference 4.4.2 is assumed to include the effects of linearity, hysteresis, and repeatability. The recorder reference accuracy is also assumed to include the effects of linearity, hysteresis, and repeatability.

5.5 Per References 4.5.1 through 4.5.6, the I/V module is calibrated as part of a string. Per Reference 4.4.1, the I/V module is a resistor. Resistors typically experience negligible drift. Therefore, any resistor drift throughout the fuel cycle is negligible and is accounted for during the string calibration.

Computed By: Date: CAROLINA POWER & LIGHT COM PANYCalculation D.

W. Robert Smiih 08/28 /02 COLAPWR&IGTOPNYRNP-VINST-1041 Checked By: Date: CALCULATION SHEET Pg 12 Of 93 Rcv73 Bob Hunter 08/28/ 02 I Proect No.: N/A IIFe:

Prect

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 5.6 Per Reference 4.7.6, the maximum temperature of the Hagan Rack Rooms is 82 0F. Per Reference 4.6.1, the racks may experience an additional 10F heat rise during operation.

The ambient temperature at the time of calibration is assumed to be 50WF. Therefore, a change in temperature of 42 0F is used to compute the temperature effect associated with rack components.

82 0F + 10F - 50F = 42 0F 5.7 Per Reference 4.4.1, the Westinghouse 3110552-000 Computer Signal Conditioner is a high precision resistor. Based on the high accuracy of the resistor, the resistor has a negligible impact on the overall loop uncertainty computation.

5.8 Per Reference 4.7.7, the thermal expansion factor for the flow element is 1.007 which corresponds to a feedwater temperature of approximately 442 0F (100% load per Reference 4.2.2). Therefore, expansion of the flow element as the result of elevated temperatures during operation is accounted for during the calibration of the flow element.

Per Reference 4.2.2, the feedwater temperature at 20% load is 305 0 F. Therefore, the change in temperature from 100% load to 20% load is less than 200OF and is negligible (Reference 4.6. 1).

Computed By- Date: CAROLINA POWER & LIGHTCONIPANY Calculation ID).

W.Robert Smith 081281 02 RNP-VINSTI1I04 Checked By. Date: CALCULATION SHEET P. 13 Of 93 Rev: 3 Bob tHunter 08 128 1 02 1 Project No.: N/A File:

Project riic: N/A Calculation

Title:

Feedwater Flow Loop Uncerainty and Scaling Calculation 5.9 Per Reference 4.7.8, the following equation is used to compute the theoretical flow through a nozzle venturi:

m= 3 58 .9{CYd2F. e where, m = mass flow rate (lbm I hr)

C = discharge coefficient (unit less)

Y = expansion factor (I for water) d = bore diameter (in)

Fa = thermal expansion factor (unit less)

D = pipe diameter (in)

• e = beta ratio (unit less ratio d / 1))

P = fluid density (Ibm / ft3 )

AP = differential pressure (inwc)

If all variables are treated as constants except density (p) and differential pressure (AP),

the flow equation is simplified as follows:

m = Kp/

For calibration conditions, the flow equation is as follows:

mC= Kpp For operating conditions, the flow equation is as follows:

mN = Kjp APN Assuming a constant mass flow rate for calibration and operating conditions, the following equation is written:

mN = mc

Computed By: Dale: CAROLINA POWER & LIGHT COMPANY Cakulalitm In:

W. Robert Smith 081/281 02 RNP.VINS`17-1041 Checked By: Date: CALCULATIONSHEET ig 14 Or 93F ReCv:

Bob tlunter 08 /28 / 02 Project No.: N/A Fi Ie Project

Title:

N/A CalculGtion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Therefore, KS for Ap yed the fpoowneqaon Solving for ASPN yields the following equation:

pN =( PcVp PN)

The process measurement effect, expressed in terms of % AP Span, due to changes in -

feedwater density from those assumed for calibration is obtained with the following equation:

PMIEDENSrrY (% AP Span) = Ap( AP, I100%APSpan = PN J100%APSpan AP Span ) AP Span Therefore, PMEDENSrrY (% AP Span) =

C -1 Pspa S PC J00vA~a 00 p The uncertainty equation may be simplified by using the following relationship between differential pressure and flow:

00 AP = 100( Flow(% Flow Span)Y AP Span 100%

Computed By: Ditc: Calculition ID:

W.Rober Syith 08/28 1 02 CAROLINA POWER & LIGHT COMPANY RNPaVINST1041 Checked By: Date: CALCULATION SHEET rg. .f IS (3 Rcv: 3 Rob Hunter 08 /28/ 02 Project No.: N/A File:

Promjctltie: N/A Calculation Title. Feedwater Flow Loop Uncertainty and Scaling Calculation Therefore,

( pc YFo( lw Span)<

PMEDENSrrY (% AP Span) = 100%fLIY Flow(% Flow ViqNk 100%J 5.10 Per Reference 4.6.1, the normalized relationship between flow and differential pressure is given by the following equation:

F= /i1A-P The equation used to convert bias uncertainties from % AP Span to % Flow Span is derived using perturbation methods. The flow equation with uncertainties in the differential pressure and flow terms is, F + f= P+dp where, F = actual flow (% Flow Span) f = flow uncertainty (% Flow Span)

AP = differential pressure (% AP Span) dp = differential pressure uncertainty (% AP Span)

Taking the difference between the two equations given above yields the following, F + f - F = AP+dp- f =A - fAP.

The equation given above is simplified by using the normalized relationship between flow and differential pressure as follows,

• f = j 7

+dp-F

• - Multiply by a factor of 100 to obtain % Flow Span

Computed By: Date: CAROLINA POWER & LlGHTCOMPANY Calculation ID):

Wi.Robent Smith 0 / 28 1 02 ARLNPOE&LCITOMAYRNP-1IINST.1041I Checked By: Date: CALCULATION SHEET Pg. 16 of 93 Rev: 3 Bob furntic 08128/ 02 l Project No.: N/A IIi Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation To obtain the equation used to convert from % Flow Span to % AP Span, the equation given above is solved for "dp". Therefore, the equation used to convert from % Flow Span to % AP Span is as follows,

• dp = (F+ f)2 - F2

• - Multiply by a factor of 100 to obtain % AP Span 5.11 Per Reference 4.6.1, the normalized relationship between flow and differential pressure is given by the following equation:

F =A The equation used to convert random uncertainties from % AP Span to %,Flow Span is derived by taking the total derivative of the flow equation as follows:

dF= i= -Pp =dF= dp aAP 2 2F where, dF = flow uncertainty (% Flow Span) dp = differential pressure uncertainty (% AP Span)

F = actual flow rate (% Flow Span)

To obtain the equation used to convert random uncertainties from % Flow Span to %

AP Span, the equation given above is solved for "dp".

• dp = 2 (FXdF)

• - Multiply by a factor of 100 to obtain % AP Span

Computed By: Date: CAROLINA P)WER & LIGHT COMPANY Cakulation ID:

W. Robert Smith 08 /281 02 RNP4VINST-1041I Cbccked By: Date: CALCULATION SHEEFT Pg. 17 of 93 Rev: 3 Bob Hunter 08281 021 Project Na: N/A I File:

ProjectlThk: N/A Cakulation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 5.12 Per Reference 4.7.8. the following equation is used to compute the theoretical flow through a nozzle venturi:

m = 358.9 CYd 2 F where, m = mass flow rate (Ibm / hr)

C = discharge coefficient (unit less)

Y = expansion factor (I for water) d = bore diameter (in)

F,= thermal expansion factor (unit less)

D = pipe diameter (in) 13= beta ratio (unit less ratio d / D) p = fluid density (lbm / ft3 )

AP = differential pressure (inwc)

If all variables are treated as constants except differential pressure (AP) and the flow coefficient (K), the flow equation is simplified as follows:

m = KjIp For calibration conditions, the flow equation is as follows:

mc= Kc For operating conditions, the flow equation is as follows:

mN = KN4OW Assuming a constant mass flow rate for calibration and operating conditions, the following equation is written:

MN= mc

Comnputed By- Daite: Calculation IL).

W. Roe Smith 08/28/02 C(AROLINAPOWER& LIiIrTCOMPANY RNC-'INST.1043 Checked By: Date: CALCULATION SHEET Pg. Is of 93 Rev: 3 Elob Hunter 08 /32/ 02 Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Peedwater Flow Loop Uncertainty and Scaling Calculation Therefore, KNW-= KC-p Solving for APN yields the following equation:

APN = Le- APC KN The process measurement effect, expressed in terms of inwc, associated with variations in the Flow Coefficient (FC) is obtained with the following equation:

FC =AP ((K 2 _

The process measurement effect, expressed in terms of % AP Span, associated with variations in the flow coefficient is obtained with the following equation:

F YI KN)

FC = 100%

AP Span The uncertainty equation may be simplified by using the following relationship between differential pressure and flow:

100%( AP Flow(% Flow Span) 2 AP Span) 0 100% )

Computed By: Date: CRLNPOE LGITOMAYCalculation ID:

W.Ro Smith 0828/ CAROLINAWER&L-IITCMPANY NPINST-1041 IChecked By: Dalc: CALCULATION SHEET Pg 19 of 93 Rev 3 Bob Hunter 08/28/ 02 l Project No.: N/A File Poccl

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Therefore, FC(%7,K AP Span) = tO0%(

Kc '_

-K 3Flow(% Flow Span )

100%

5.13 Per Section 9. 1, each transmitter is calibrated from 0 to 300 inwc. The actual differential pressure developed across each flow element I tap set is less than 300 inwc. Therefore, a bias is introduced into the flow reading as a result of the choice of the calibrated range. For conservatism, the minimum differential pressure of 296.13 inwc is used to calculate the flow coefficient bias.

The flow coefficient for calibration conditions is computed with the following equation:

4,000,000 Ibm / hr = 230,940 F=K,.rA=>Kc- =*Kc F =

I300 inwc The flow coefficient for normal conditions is computed with the following equation:

F=KNlw =* KN =F 4,000,000 Ibm/ hr -232,444

.,rA-p 429 6. 13 i-nw c

Compued By: /: Date: CAROLINA POWER & UGT COMPANY Calcultion ID:

W. Robert Smith 03 /281 02 CAOIAI(~~ t~CMAYRNP-IIINST- 1041 Checked By: Date: CALCULATIONSHEET Pg. 20 of 93 Rev: 3 Bob Hunter 08 128 1 02 Project No.: N/A File:

Project

Title:

N/A CIculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 5.14 Estimates of feedwater density at selected Reactor Power levels are necessary to support the Process Measurement Effect calculation presented in Section 6.4. For density determinations, temperature is the dominant process parameter. Reference 4.7.9 provides feedwater temperatures at various pre-power uprate power levels from 50% through 100% (1165 MWt through 2330 MWt). In the table below, those values have been interpolated and extrapolated to approximate temperatures at the specified post-power uprate Reactor Power conditions.

The impact of pressure on feedwater density is less significant. The predicted post-power uprate process conditions vary based on Steam Generator tube plugging status and clean/fouled system conditions. Per Reference 4.2.5, steam generator dome pressure at the post-power uprate 100% power (2339 MWT) is 800.5 psia with 6%

SG tube plugging and 820.9 psia at 0% tube plugging. Per Reference 4.7.9, steam pressures at the pre-power uprate 50% power level range from 898 to 924 psia depending upon the degree of system fouling. A reasonable range of steam pressures is selected as 800.5 through 898 psia corresponding to 100% through 50% post-upratC power levels. Per Reference 4.2.4 (Table 24), the mean feedwater pressure has been observed to be approximately 74 psi greater than the Steam Generator dome pressure.

It is assumed that feedwater flow has a linear relationship with reactor power.

Consequently, for use in this calculation, the corresponding feedwater pressures range will be designated as 874.5 through 972 psia corresponding to 100 through 50% post-uprate power levels. These values will be utilized in the following table to estimate feedwater density at selected thermal power levels.

Reactor Feedwater Feedwater Feedwater Power Temperature Pressure Densiy 100% (2339 MWt) 441.8oF 874.5 psia 52.040 Ibm / ft3 90% (2105 MWt) 430.30F 894.0 psia 52.573 ibm / fW 80% (1871 MWt) 418.3 0 F 913.5 psia 53.109 Ibm / ft3 70% (1637 MWt 406.20F 933.0 psia 53.631 Ibm / ft3 50% (1170 MWt) 375.20F 972.0 psia 54.887 Ibm/ ft3

Comnputed By: Date- Cak-u1ation ID:

W. Robert Smi:h 08128/ 02 CAROLINA POWER & LIGI1T COMPANY RNP-'INST-104m Checked By. Date: CALCULATION SHEET Pg 21 of 93c Bob Hunter 08 12R1 02 Proj; t No.: N/A Ftdc:

Project

Title:

N/A Calculationritle: Feedwater Flow Loop Uncertainty and Scaling Calculation 5.15 Per Reference 4.7.9, the maximum steam pressure over the operating range of interest

(>50%)occurs at 50% power (924 psia). Adjusting this by the 74 psi steam/feedwater pressure difference discussed in Design Input 5.14 yields a maximum feedwater pressure of 998 psia (983.3 psig). For conservatism, a maximum static pressure of 1010 psig will be used to compute the transmitter static pressure effect.

5.16 Per Reference 4.7.10, the current Technical Specification setpoint analytical limit is assumed to be 40% of full steam flow (mismatch). Per Reference 4.2.3, nominal steam flow at 100% power is 3.43x106 Ibm / hr. Therefore, the Technical Specification setpoint analytical limit is 1.372x106 Ibm / hr (40% of 3.43x106 Ibm /

hr). Per Section 9.1, the calibrated flow span is 4x10 Ibm / hr. Therefore, the Technical Specification setpoint analytical limit for the steam flow / feedwater flow mismatch reactor trip setpoint is 34.3% Flow Span (also see Reference 4.7.15).

The steam flow greater than feedwater flow alarm associated with these instrument loops serves to alert the operator that a steam flow / fcedwatcr flow mismatch is approaching the steam flow / feedwater flow mismatch reactor trip setpoint.

Therefore, the limit for the alarm is the calibrated feedwater flow / steam flow trip setpoint of 16% Flow Span (0.64 Vdc /4Vdc

• 100) (References 4.5.1 through 4.5.6).

The feedwater flow greater than steam now alarm associated with these instrument loops serves to alert the operator that feedwater flow has exceeded steam flow. There is no specific requirement for this setpoint. Therefore, the limit for this alarm setpoint is assumed to be equal to the analytical limit for the steam flow / feedwater flow mismatch reactor trip setpoint of 34.3% Flow Span.

5.17 The digital recorder scale is programmable and variable. It is assumed that the resolution is no less than 0.Olxl6 Ibm/hr.

Computed By: Date: CAROLINA POWER & LIGHT COMPANY Calculation ID:

W. Robert Smith 0 / 28 / 02 RNP.L'1NST-1041 Checked By: Datc: CALCULATION SHEET PS 22 of 93 Rev: 3 Bob Hunter 08 /28 / 02 l Projec No.: NIA File:

Project

Title:

N/A Calculation Titlc- Feedwater Flow Loop Uncertainty and Scaling Calculalion 5.18 Per Reference 4.2.5, the nominal steam flow / fecdwater flow at 100% power is 3.43x10 ibm I hr. Per Section 9.1, the calibrated flow span is 4x10 Ibm / hr.

Therefore, the following relationship between % Flow and % Flow Span exists:

100%Flow= 3.43x10 6 Ibm /hr 00% Flow Span = 85.75% Flow Span 4.00x 106 Ibm / hr)

The flow rates analyzed in this calculation are from 50% Flow to 100% Flow.

Therefore, uncertainties are computed for the following flow rates:

I Flow Rate l Flow Rate

((% Flow) (% FlowSpan) i 100% 85.75%

90% 77.18%

80% 68.60%

70% 60.03%

50% 42.88%

5.19 Technical information included in Reference 4.7.11 shows that the recorder manufacturer does not specify a time dependent drift uncertainty for these digital devices. It is therefore assumed that any such drift is negligible and is included within the Reference Accuracy and Temperature Effect specifications.

Computed By: Date: POWER & LIGIarCOMPANY CAROLINA ' alculation 11):

W. Robert Smith 08128 / 02 CAOIAPWR&LGICMAYRNP-VINST.1041 Checked By: Date: CALCULATION SHEET Pg. 23 of 93 Rev: 3 Bob lunter 08128/ 02 l Project No.: N/A File:

Project

Title:

N/A Calculaion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-0 CALCULATION OF 1NCERTAINTY CONTRIBUITORS 6i1 ACCIDENT FEFFECTS (AF)

Per Reference 4.6.2, the indication I recording functions provided by each loop are not required post accident. Therefore, accident effects are not computed for the indication /

recording functions.

The transmitters in each loop are located in the Turbine Building and are not exposed to adverse environmental conditions during an accident. Therefore, loop uncertainties are computed for normal environmental conditions only.

6.1 SEISMIC EFFECT (UF)

The steam flow I feedwater flow mismatch function is required to operate following a seismic event. Therefore, seismic uncertainties are computed for this function.

The ERRIS, indication, and recorder uncertainties do not include seismic effects.

Per References 4.7.4, FT-476, FT-486, and 496 are Rosemount Model 115 1DP5 transmitters.

Per Reference 4.4.3, the transmitter seismic effect (SExmtr) is +/- 0.25% URL.

Per References 4.7.4, FT-477, and 487 are Rosemount Model 1153DA5 transmitters. Per Reference 4.4.3, the transmitter seismic effect (SExmtr) is +/- 0.50% URL.

Per References 4.7.4, FI497 is a Rosemount Model 1153HA5 transmitter. Per Reference 4.4.3, the transmitter seismic effect (SExmtr) is +/- 0.50% URL.

For conservatism, a seismic effect of +/- 0.50% URL is used for all transmitters. Per Section 9.1, the calibrated span of each loop is 300 inwc. Therefore, 0 750inwc 100%Span SExmr = +/- 0100%URL 300inwc J SEmir = +/- 1.25% AP Span

Computed By. Date: CARUAME IGThMAYCIculation ID:

W. Robert Smith 08/28/ 02 C ER & L COM YRNP-VINST-1041 Checked By Date: CALClULAION SHEEr Pg.24 of 93 Rev: 3 Bobh Hunter 08/28 / 02 l Project No.: N/A File:

Project

Title:

N/A Calcultion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-3 JNSIT. ATION RF1SSTANCE ERROR (THR These loops are not required to mitigate any event which results in degraded signal cabling.

Therefore, Insulation Resistance (IR) effects are not applicable.

6-4 PROCESS MEASI REMENT FRROR (PME) 6.4.1 PrnceqC MPenmir-Pment Frrnr - Nnrmnl Environment Denseity Ffer Per Design Input 5.9. the following equation is used to compute process measurement effects associated with changes in feedwater density:

PMEDENsnr (% tAP Span) = I 00% - K(Flow(% Flow Span) 100%

2 Per Design Input 5.10, the following equation is used to convert the process measurement effect from % AP Span to % Flow Span:

PMEDENSrrY (% Flow Span) = 100(F2+ PME DENSITY (% AP Span) - F)

Note: The decimal fraction for the flow rate and uncertainty is used in the equation.

Per Reference 4.7.7, the following fluid density is assumed for calibration:

PC = 52.0502 Ibm I ft3 (855 psia, 4421F)

Computed By Dute. Mculatinn (' II):

W. Robcrt Snith 08/281 02 CAROLINA l'ER& LIO~CON1PANY RNP-VINST-1(41 Checked By. Date: CALCULATION SHEET Pg. 25 of 93 Rcv: 3 ob Huniter 08 /28 / 02 1 Projcct No.: N/A I File:

Project

Title:

N/A Calculationi Title. Feedwater Flow Loop Uncertainty and Scaling Calculation Per Design Input 5.14 and 5.18, the following fluid densities and flow rates are used to compute process measurement effects:

pl00% = 52.040 Ibm / ft3 p90% = 52.573 Ibm ( ft3 p80% = 53.109 lbm / ft3 p70% = 53.631 Ibm / ft3 p5O% = 54.887 Ibm ( ft3 Flow Rate PMEDENSrY PMEDENSIrY

(% FlowSpan) (% AP Span) (% Flow Span) 85.75% 0.01% 0.01%

77.18% -0.59% -0.38%,

68.60% -0.94% -0.69%

60.03% -1.06%9 -0.89%

42.88% -0.95% - -1.12%

Piping Etffe If the minimum upstream and downstream piping requirements are met, an installation effect bias of +/- 0.50% Flow Reading should be included in the loop uncertainty calculation (Reference 4.6.1). If the minimum upstream and downstream piping requirements are not met, an additional bias +/- 0.50% Flow Reading should be applied. For conservatism, it is assumed that the minimum upstream and downstream piping requirements are not met.

Therefore, PMEi'IPI'N (% Flow Span) = +1.00% Flow Reading -1.00% Flow Reading Per Design Input 5.10, the following equation is used to convert bias uncertainties from %

Flow Span to % AP Span:

PMEPIPING (% AP Span) = l00((F+ PN'EPIPING (% Flow Span)) - F2)

Note: The decimal fraction for the flow rate and uncertainty is used in the equation.

Computed By: Date: CAROLINA POWER & LIGHT COMPANY Calculititn ID W. Robert Smith 08128/ 02 RNPIVINST-1041 Checked By: Date: CALCUJLATK)N SHEET P. 26 of 93Rev Bob Hunter 08/281 02 Projcct No.: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Therefore, the process measurement effect due to the piping configuration is as follows:

Flow Rate PMEPIPING PMEpIPING PMErIpLNG PMEPIPING

(% FlowSpan) (% FlowSpan) (% FlowSpan) (% APSpan) (% AP Span) 85.75% 0.86% -0.86% 1.48% -1.46%

77.18% 0.77% -0.77% 1.20% -1.19%

68.60% 0.69% -0.69% 0.95% -0.94%

60.03% 0.60% -0.60% 1 0.72% -0.72%

42.88% 0.43% -0.43% 0.37% -0.37%

Therrnml Fxpnnsinn Effects Per Design Input 5.8, thermal expansion effects are negligible.

f-4.22 Prnrepc Mnetcirempnt Errnr- Aecidlent Envirrnmrnt Per Section 6.1, accident effects are not considered for these loops.

6ha PRIMARY ELEFMENT FRRORJ(PF)

Primory Flement AenirircLy Per Reference 4.7.7, rigorous testing was performed on the flow elements, and special design criteria were used to minimize measurement errors. Calibration parameters and flow element uncertainties were determined through detailed testing and analysis. Per Reference 4.7.7, the flow element has an accuracy of +/- 0.25% Flow Reading. Therefore, PE (% Flow Span) = +/- 0.25% Flow Reading

Computed By:

WV. Robcnt Smith Checked By-Date:

031/ 281 02 Date:

CAROLINA POWER & LIGHT COMclPANY CRLA OVE&LII1cPAY CALCULATION SHEET jRNP-LtIN RNI'uIt.Nm II):

Pg 27 of 93 1041 Bob Hunter 08/28 / 02 Project No.: N/A I Flc:

Prjecct

Title:

N/A Cakulation Tttle. Feedwater Flow Loop Uncertainty and Scaling Calculation Per Design Input 5.1 1, the following equation is used to convert random primary element uncertainties from % Flow Span to % AP Span:

PE (% AP Span) = 100(2 (Flow RateXPE (% Flow Span)))

Note: The decimal fraction for the flow rate and uncertainty is used in the equation.

Flow Rate PE PE

(% FlowSpan) (% FlowSpan) (% APSpan) 85.75% 0.21% 0.37%

77.18% 0.19% 0.30%

68.60% 0.17% 0.24%

60.03% 0.15% 0.18%

42.88% 0.11% 0.09%

Flow (Cevxfficient I Incertainty Per Design Input 5.12, the bias uncertainty associated with the flow coefficient is computed with the following equation:

FC(% ALP Span) = l"o(Kc) _ Flow(% Flow Span))

Per Design Input 5.10, the following equation is used to convert bias uncertainties from % AP Span to % Flow Span:

• f = l dp - F

• - Multiply by a factor of 100 to obtain % Flow Span

Computed By: Date: CAROLIA POWER & LIGHTCOMPANY Ltiun ID W. Robert Smith 08128 / 02 CAOIAPWR&LGTCMAYRNP-VINST- 1041I Checked By* Date: CALCULATIONSHEET Pg 28 of 93 Rev: 3 Bob Hunter 08 /28 /02 ProjCct No.: N/A File:

Project Tite. N/A Calculation ri- Feedwater Flow Loop Uncertainty and Scaling Calculation Per Design Input 5.13, the flow coefficient for calibration (Kc) is 230,940, and the flow coefficient for normal operation (KN) is 232,444. Therefore, Flow Rate FC FC

(% FlowSpan) (% APSpan) (% FlowSpan) 85.75% -0.95% -0.55%

77.18% -0.77% -0.50%

68.60% -0.61% -0.44%

60.03% -0.46% -0.39%

42.88% _ -0.24% -0.28%

6-6 TRANSMI1TTER (FT.497. ROSEMOINIT 1153HA . 51 6.6-1 Transmitter's Invprifipd Attribpitpgs nf Refirenre Acu-itrawy (RA.,m,)

Per Reference 4.4.3, the reference accuracy of the transmitter is + 0.25% Span and includes the effects of linearity, hysteresis, and repeatability. Per References 4.6.3 and 4.6.4, the transmitter is calibrated to + 0.50% Span at nine points (5 up and 4 down). Therefore, the calibration procedure verifies the attributes of linearity and hysteresis but not repeatability.

Per Reference 4.6.1, the following equation is utilized to compute the repeatability portion of the transmitter reference accuracy:

RA ~ 0.25% Spani Repeatability = + =+/-Span 0.214p%

Therefore, RAxmtr = +/- 0.14% AP Span

Comnputed Biy: E6te: .Calculation fly.

W. Roben Snmilh 08/28/ 02 CAROLINA POWER & LUG1rCOMPANY RNP-fNSTl1041 Checked By Date: CALCULATK)N SHEET P. 29 of 93 Rev: 3 BIoh Hunter 08/28 / 02 Project No.: NIA File:

Project

Title:

NIA Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-662 Trnngmittpr Crilihritinn Tn1eranr-e (CA!.,

Per Reference 4.6.4, the transmitter is calibrated to +/- 0.50% Span. Therefore, CALxmtr = +/- 0.50% AP Span 6i6fi.3 Transmitter Drift (DR.tJ Per Attachment D, transmitter drift is given as + 0.20% Upper Range Limit over 30 months.

Per Reference 4.4.3, the Upper Range Limit (URL) for a range code 5 transmitter is 750 inwc. Per Reference 4.6.1, the time interval between calibrations is 22.5 month (18 months +

25%). Per Section 9. 1, the calibrated span of the transmitter is 300 inwc. Therefore, (750 inwc DRxmtr = + 0.20%( 300 inwc J DRxmtr = + 0.50% AP Span 6.6.4 Trnrnsmitter M&TE ffeclt (MTF m A DMM, pressure gauge, and the instrument loop test point resistor are used to calibrate the transmitter. Per Reference 4.6.1, the combined (SRSS) accuracy of all the M&TE used to calibrate the transmitter is better than or equal to the calibration accuracy of the transmitter.

For conservatism and flexibility in the choice of test equipment, the MTE term for the transmitter is set equal to the calibration tolerance of the transmitter.

MTExmtr = +/- 0.50% AP Span

Computed By: Date: lCAROLINA POWER & LCGrcoMPANY Calculation ID:

W. Robert Smith 08 /28 / 02 CRLNPOE& I.TNPAYRNP-VINST-1041 Checked By: Date: CALCLATION SHEET Pg 30 of 93 lRcv 3 Bob Hunter 08128 1 02 l Project No: NIA File:

Project

Title:

N/A aculation itle: Feedwater Flow Loop Unwertainty and Scaling Calculation 6-6.5 Trgrnsmitter Timperaitire Tlffset (T&,#,1 Per Reference 4.4.3, the transmitter temperature effect is given as + 0.75% Upper Range Limit + 0.50% Span for a change in temperature of I00 0F from the temperature at which the transmitter was calibrated. Per Reference 4.4.3, the Upper Range Limit (URL) for a range code 5 transmitter is 750 inwc. Per Section 9. 1, the span of the transmitter is 300 inwc. Per Reference 4.6.3, the transmitters are located in the Turbine Building, and the minimum and maximum Turbine Building temperatures are 33 0F and 107 0F respectively (Design Input 5.3). Therefore, a maximum change in temperature of 74 0F (107OF - 33 0 F) is used to calculate the transmitter temperature effect. Therefore, TEx mt mr _

-+0.75%j (750 inwc 300inwc) I+0.50%Span 74cF 1000F I TExmtr = _ 1.76% AP Span 6-6.6 Trnnsmitter .Sfttie PrPq,,rP lflprt (FPIfmpA Per Reference 4.4.3, a static pressure span effect of -1.0% Upper Range Limit per 1000 psi is specified for the transmitter. Per Section 9. 1, the static pressure span effect is systematic and can be calibrated out. Therefore, the static pressure span effect is equal to the span shift uncertainty of +/- 0.25% Upper Range Limit per I000 psi.

Per Reference 4.4.3, the static pressure zero effect is specified as + 2.0% Upper Range Limit per 4500 psi. Per Design Input 5.15, the maximum static pressure across the transmitter is 1010 psi. Per Reference 4.4.3, the Upper Range Limit (URL) of a range code 5 transmitter is 750 inwc. The span of the transmitter is 300 inwc (Section 9.1). Therefore, the total Static Pressure Effect (SPE) is computed as follows:

SPEx +t[O.25750inw 1l1psi l H+ I2.00~ 750inwc '1 l1lpsi 300 inwc 1000 psi 300 inwc L 4500 psi SPExmtr = +/- 1.29% AP Span

Computed By: Dati: Cafcubition ID:

W.Robdn Smith 08128102 CAROLINA POWER &LIGHTCOMIPANY RNP-VINST-1041 Checked By: Date: CALCULATION SHEET Pg.31 of)93 Rev: 3 Bob Hunter 08128102 Project No.: N/A Filc:

Pfject

Title:

N/A Cilcubtion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-6-7 Transmitter Ppwer. 5ipply FfTect (PSF .t, Per Reference 4.4.3, the power supply effect associated with the transmitters is given as +/-

0.005% Span per volt variation in power supplied to the transmitter from the power supplied at the time of calibration. Per Reference 4.4.1, each instrument loop is powered by a Model 137-121 45 Vdc supply or an NUS SPS-801 power supply. The power supply is powered by regulated instrument buses per Reference 4.2.1. Therefore, the power supply effect is negligible.

PSExmtr = N/A 66S Transmitfpr Total Dpvieo I Ineprtainty (Tfl1 1,,

Total Device Uncertainty for normal environmental conditions is computed using the following equation:

TDUxmtr= +/-I(CAL.rn, + MTE-,,,t,) 2 + RA a DR nbu 2

+ TExtn 2 + SPExnil2 TDUxmtr = +/- 2.46% AP Span

6. 49 Transmitter As Fnitndl Tnlierinee (AFTa.r)

Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

AFTxmtr = +/- VCALXQ +DR r 2 + MTEQVW2 AFTxmtr = +/- 0.87% AP Span

Computed By Date: Calculation 11).

W. Robert Smith 08128/ 02 RNP-41INST1041 Chccked By: Date: CALCULAMON SHEET Pg. 32 of 93 Rev: 3 BOh Hunter 0812S/ 02 I Project No.: N/A File:

Project Title N/A Calcutation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation fi-.610 Tranrmitfer Ac left Tn1Prnnce (A1.T mt4L Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTxmtr = CALxmtr ALTxmtr = +/- 0.50% AP Span Error Contributor Value Tvye Section RA + 0.14% AP Span Random 6.6.1 CAL + 0.50% AP Span Random 6.6.2 DR + 0.50% AP Span Random 6.6.3 SPE +1.29% AP Span Random 6.6.6 MTE + 0.50% AP Span Random 6.6.4 TE + 1.76% AP Span Random 6.6.5 As Left Tolerance (ALT) + 0.50% AP Span Random 6.6.10 As Found Tolerance (AFTF) + 0.87% AP Span Random 6.6.9 Total Device Uncertainty +/- 2.46% AP Span Random 6.6.8 (non-accident)_

Transmitter Uncertainty Summary

Computed By: Da/2: CAROLINA POWER & CK1il1COMPANY Calculation 11).

W. Roben Smith 081281 02 CAOIAPWR 1HCMAYRNP-1/INST.1041 Checked By.

Bob Hunter Date:

08 /28/ 02 CALCULATION SHEET Pg. 33 of 93 lRev 3 1

Project No.: NIA File:

Project itle: N/A Calculation T Feedwater now Loop Uncertainty and Scaling Calculation

_tle-6.7 TRANSMTTTFR (1T-477 AND F-497, ROSFMOTINT 1153flAS) 6i7.1 TrnsImitter's Tnverifiedr Attrihijtpq nf Reference Aeerllracy (RAm"t,.

Per Reference 4.4.3, the reference accuracy of the transmitter is +/- 0.25% Span and includes the effects of linearity, hysteresis, and repeatability. Per References 4.6.3 and 4.6.4, the transmitter is calibrated to + 0.50% Span at nine points (5 up and 4 down). Therefore, the calibration procedure verifies the attributes of linearity and hysteresis but not repeatability.

Per Reference 4.6. 1, the following equation is utilized to compute the repeatability portion of the transmitter reference accuracy:

Repeatability =R t= 0.25 Span 0.14%Span Therefore, RAxmtr = +/-0. 14% AP Span 6-7.2 Trnngmittpr Cnlihrntinn Tolpranep (CAl.,ntrs Per Reference 4.6.4, the transmitter is calibrated to + 0.50% Span. Therefore, CALmtr = +/- 0.50% AP Span 6.73 rrninsmittpr Drift (DR,,,,

Per Attachment D, transmitter drift is given as +/- 0.20% Upper Range Limit over 30 months.

Per Reference 4.4.3, the Upper Range Limit (URL) for a range code 5 transmitter is 750 inwc. Per Reference 4.6.1, the time interval between calibrations is 22.5 month (18 months +

25%). Per Section 9.1, the calibrated span of the transmitter is 300 inwc. Therefore, DRxmtr = + 0.20%( 750 inwc 300 inwc=

DRxmtr = +/-0.50% AP Span

Computed By: 0/8 CAROLINA POWER& LIGHCOMPANY Calcutation 1l):

W. Robcrt Smith 08 / 281/ 02 COLN WR&LIITOPAYRNI'.t(INST.1041 Checked Bly: Date: CALCULATION SHEET Pg. 34 Of 93 Rcv: 3 Bob Hunter 08 /2/ 02 -(

PrNcct No.: N/A Fic:

Project

Title:

N/A Calculation Taki: Feedwater Flow Loop Uncertainty and Scaling Calculation 6-7.4 Trnnsmitter M&TF FMfet (MTF,,mtr A DMM, pressure gauge, and the instrument loop test point resistor are used to calibrate the transmitter. Per Reference 4.6.1, the combined (SRSS) accuracy of all the M&TE used to calibrate the transmitter is better than or equal to the calibration accuracy of the transmitter.

For conservatism and flexibility in the choice of test equipment, the MTE term for the transmitter is set equal to the calibration tolerance of the transmitter.

MTExmtr = +/- 0.50% AP Span 6 .7-i TrnnrmittPrTempprzituire F1ftett (TF,,,rtd Per Reference 4.4.3, the transmitter temperature effect is given as + 0.75% Upper Range Limit + 0.50% Span for a change in temperature of 1000F from the temperature at which the transmitter was calibrated. Per Reference 4.4.3, the Upper Range Limit (URL) for a range code 5transmitter is 750 inwc. Per Section 9.1, the span of the transmitter is 300 inwc. Per Reference 4.6.3, the transmitters are located in the Turbine Building, and the minimum and maximum Turbine Building temperatures are 33WF and 107WF respectively (Design Input 5.3). Therefore, a maximum change in temperature of 74WF (107 0F - 330W) is used to calculate the transmitter temperature effect. Therefore, TExmtr = 075%(5iw + 0.50% Span 740 0F 300 inwc 100eF TExmr = +/- 1.76% AP Span

Computwd By: Datc

- CAROLiNA POWER LlcilfnCOMPANY RNv Uini II:

W. Robert Smith 08128 / 02 ARUA)E&L(ITOPAYRNPVI4/WINS-141 Checked By: Date: CALCULATION SHEET g- 35 of 9.R v 3 Bob Hunter 08/281 02 l Projcct No.: NtA File:

Project

Title:

NIA Cakeutation Titl Feedwater Flow Loop Uncertainty and Scaling Calculation 6.7.6 TranqLnmitter Stntic Preqiirr Ffert (.PF.,.)

Per Reference 4.4.3, a static pressure span effect of -1.0% Upper Range Limit per 1000 psi is specified for the transmitter. Per Section 9. 1, the static pressure span effect is systematic and can be calibrated out. Therefore, the static pressure span effect is equal to the span shift uncertainty of +/- 0.25% Upper Range Limit per 1000 psi.

Per Reference 4.4.3, the static pressure zero effect is specified as +/- 0.25% Upper Range Limit per 2000 psi. Per Design Input 5.15, the maximum static pressure across the transmitter is 1010 psi. Per Reference 4.4.3, the Upper Range Limit (URL) of a range code 5 transmitter is 750 inwc. The span of each transmitter is 300 inwc (Section 9. 1). Therefore, the total Static Pressure Effect (SPE) is computed as follows:

SPE,-+ 25%75°inwc 1010psi 0+

[0.25%(750inwc( 1010psi H xm r-_ 1 300 inwc - 1000lpsi L 300inwc 2000psi SPExmtr = 0.7 1% AP Span 6.7.7 Transmitter Pnwer Stlirly ffPct (P.F-xmi Per Reference 4.4.3, the power supply effect associated with the transmitters is given as +

0.005% Span per volt variation in power supplied to the transmitter from the power supplied at the time of calibration. Per Reference 4.4.1, each instrument loop is powered by a Model 137-121 45 Vdc supply or an NUS SPS-801 power supply. The power supply is powered by regulated instrument buses per Reference 4.2.1. Therefore, the power supply effect is negligible.

PSExmtr = N/A 6.7-% TrnnsnmittPr Totnl lpvirp I JnrPrt-inty (TD1J ,,mr Total Device Uncertainty for normal environmental conditions is computed using the following equation:

TDUxmjr = +/- V(CAL+/-,V,, + MTE,,tr )z + RA xlntr + DR xn~r2 + TEmug2 + SPEi.n..

TDUxmtr = +/- 2.21% AP Span

Computed By: Date: Calculation ID:

W Robit Smith 081 281 02 CAROLINA PO~WER & LIGHTCOMPANY RNP-VINST-1041 Checked lBy: Date: CALCULATION SHEET Pg. 36 Of 9i Rev: 3 l3oh Hunter 081281 02 Project No.: N/A FIle:

Project

Title:

NIA Calculation Tidle: Feedwalcr Flow Loop Uncertainty and Scaling Calculation 6.7.9 Trnnsmittpr As Fmind Toleranneg (AFTm Per Reference 4.6.1, the As Found Tolerance (AFT') is computed using the following equation:

AFrIxmr = +/- VCALY 2

+ DR xm¢ 2 + MTE 2 AFTxmtr = +/- 0.87% AP Span

.7.1I Trannmitfpr As pleff Tnlersrne (ALTLM,.

Per-Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTxmtr = CALxmtr ALTxmtr = +/- 0.50% AP Span Error Contributor Value Type Section RA + 0.14% AP Span Random 6.7.1 CAL + 0.50% AP Span Random 6.7.2 DR + 0.50% AP Span Random 6.7.3 SPE + 0.71% AP Span Random 6.7.6 ME + 0.50% AP Span Random 6.7.4 TE + 1.76% AP Span Random 6.7.5 As Left Tolerance (ALT) + 0.50% AP Span Random 6.7.10 As Found Tolerance (AFT) + 0.87% AP Span Random 6.7.9 Total Device Uncertainty i 2.2 1% AP Span Random 6.7.8 (no-acidnt Transmitter Uncertainty Summary

Computed By- Date: CAROUNA POWER & Ll(IM1717!8MPANY C'alculation ID:

W. Robert Smith 08/ 28/ 02 RNP-YINST.1041 (heckcd By: Date: CALCULATIoN SIEET Pg 37 of 93 Rev: 3 Bob Hunter 08 / 28 / 02 .

Project No.: N/A, Fil:

Project

Title:

N/A Calclubtion Ttle Feedwater Flow Loop Uncertainty and Scaling Calculation 6 X TRAN5SMITTFR (FlT-476. hT-486 AND FT-496, ROISIM(IJNT Il 1 DPS1 6lR-1 Transmittpr's I Inverified Attrihitep of Reference Acutlrnry (RAymtri Per Reference 4.4.3, the reference accuracy of the transmitter is +/- 0.20% Span and includes the effects of linearity, hysteresis, and repeatability. Per References 4.6.3 and 4.6.4, the transmitter is calibrated to + 0.50% Span at nine points (5 up and 4 down). Therefore, the calibration procedure verifies the attributes of linearity and hysteresis but not repeatability.

Per Reference 4.6.1, the following equation is utilized to compute the repeatability portion of the transmitter reference accuracy:

RA 0.20% Span Repeatability=+/- "'=+-+0.1% PSa Therefore, RAxmtr = + 0.12% AP Span 6.X2 Transmitipr Catlibrzation Talerance p(AL. ur)

Per Reference 4.6.4, the transmitter is calibrated to +/- 0.50% Span. Therefore, CALxmtr = +/- 0.50% AP Span 68 R3 Transmitier Drift DR.r)

Per Reference 4.4.3, transmitter drift is given as +/- 0.20% Upper Range Limit for a time period of 6 months. Per Reference 4.6.1, the time interval between calibrations is 22.5 month (18 months + 25%). Per Reference 4.4.3, the Upper range Limit (URL) for a range code 5 transmitter is 750 inwc. Per Section 9.1, the span of the transmitter is 300 inwc. Therefore, DRxmtr = 22.5 months 0.20 750 inwc t 6 months 300 inwc))

DRxmtr = +/-0.97% AP Span

Computed By: CAROLINA POWER & LIGTrr( MPANY Calculation ID.

W. Robert Smith 08/ 28 / 02 RNP-IIINS.W1041 Checked By: Date: C'ALCULAJON SHEET Pg138 of 93 Rev: 3 Bob Hunter 08/ 28/ 02 Project No.: N/A Fic:

ProjectTite: N/A calculation rthc: Feedwater Flow Loop Uncertainty and Scaling Calculation 6 - 4 Transmitter M&TE FfhMet (MTF....r)

A DMM, pressure gauge, and the instrument loop test point resistor are used to calibrate the transmitter. Per Reference 4.6.1, the combined (SRSS) accuracy of all the M&TE used to calibrate the transmitter is better than or equal to the calibration accuracy of the transmitter.

For conservatism and flexibility in the choice of test equipment, the MTE term for the transmitter is set equal to the calibration tolerance of the transmitter.

MTExmtr = +/- 0.50% AP Span 6X 8 Trnnsmittpr Temperhtwrp Effer t (T&.tri)

Per Reference 4.4.3, the transmitter temperature effect is given as +/- 1.00% Span at maximum span (750 inwc) and +/-3.50% Span (150 inwc) at minimum span for a change in temperature of 100 0 F from the temperature at which the transmitter was calibrated. The temperature effect for the span of 300 inwc is obtained through linear interpolation to be + 2.88% Span per 100 0 F. Per Reference 4.6.3, the transmitters are located in the Turbine Building, and the minimum and maximum Turbine building temperatures are 330 F and 107WF respectively (Design Input 5.3). Therefore, a maximum change in temperature of 741F (1070 F - 33 0 F) is used to calculate the transmitter temperature effect. Therefore, TExmtr = +/- 2.88% Span AT)

TExmtrT~xmr+I

= +/- 2-88% Span( 74 0 00 0FF ) + 2.13% AP Span

Compuited ay-. Date:.MTOPN AOIA OE Chh-uflaion U.

W. Robert S-iih 08 / 2B/ 02 CAROLINA POWER Llrr(oMPANY I-_INST- 1041 Checked By: Date CALCUILATON SHEETr Pg. 39 of 93 Rev: 3 Bob funter OR /28/ 02l Project No: N/AI File:

ProjectTitle: N/A Calculation TitLe: Feedwater Flow Loop Uncertainty and Scaling Calculation 6-8-6 TrinnmittarStiaic Prepcitre Effect f Per Reference 4.4.3, a static pressure span effect of -0.8 1% Reading per 1000 psi is specified for the transmitter. Per Section 9. 1, the static pressure span effect is systematic and can be calibrated out. Therefore, the static pressure span effect is equal to the span shift uncertainty of + 0.25% Reading per 1000 psi. For conservatism, the static pressure span effect is computed using the maximum reading of 300 inwc (Section 9.1). Therefore, the static pressure span effect is +/- 0.25% Span per 1000 psi.

Per Reference 4.4.3, the static pressure zero effect is specified as +/-0.25% Upper Range Limit per 2000 psi. Per Design Input 5.15, the maximum static pressure across the transmitter is 1010 psi. Per Reference 4.4.3, the Upper Range Limit (URL) of a range code 5 transmitter is 750 inwc. The span of each transmitter is 300 inwc (Section 9.1). Therefore, the total Static Pressure Effect (SPE) is computed as follows:

SPExmtr .25

.25C 0lpsi IOO psi l

[

+o .25%

750inwc 300inwc l01l psi I 1010 psi]

2000psi SPExmtr = +/- 0.40% AP Span 6--.7 Trnnsmitter Pnwer Supply EffTrt (P.Fymtr'i Per Reference 4.4.3, the power supply effect associated with the transmitters is given as +

0.005% Span per volt variation in power supplied to the transmitter from the power supplied at the time of calibration. Per Reference 4.4.1, each instrument loop is powered by a Model 137-121 40 Vdc supply or an NUS SPS-801 power supply. The power supply is powered by regulated instrument buses per Reference 4.2.1. Therefore, the power supply effect is negligible.

PSExmtr = NIA

Wnbputcd By.

W. Robert Smith Deatc 08 /28/ 02 CAROLINA r()WER & LIGHT COMPANY Calculation ID RNP4IINS.WJ041 Checked By:

Bob Hunier Date:

081281 02 CALCULATION SHEET Pg. 40 Of 93 lRCev 3

Prtcct No.: NSA File:

Project

Title:

NtA Caklcubtion title: Feedwater Flow Loop Uncertainty and Scaling Calculation 6- 8 TrnqnmittPr Tntnl Ipvyre I Tnrtertninty (TDTJlmf,)

Total Device Uncertainty for normal environmental conditions is computed using the following equation:

TDUxmtr = ++/-V(CAL. + MTE .,)

2

+ RA.,,, 2 + DR xintr 2 +TExrM 2+ SPE 2,T 2

TDUamut = +/- 2.58% AP Span 6 - 9 Transmitftpr Ac Fmnind Tntpr.ancip (AMy,,,,ir Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

+

AFTxmtr = +/-VCALxnnr DR xmnt + MTE xrctr AFrxmtr = +/- 1.20% AP Span

CoWRputcd By: Date: CAROLINA POWER & LIGHT COMPANY Calculationi ID.

W. Robcrt Smith 08 /281 02 RNP-L/INS'I-041 Checked By.

Bob Hunter Date:

08 /281 02 CALCULATION SHEET Pg.41 Of 93 lRCV 3

Project No.: N/A Iile:

Project Titlc: N/A Calculation

Title:

1Feedwatcr Flow Loop Uncertainty and Scaling Calculat ion 6-8-10 Transmitter As left Talgranep (AT MsJ Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTxmtr = CALxmtr ALTmtr = +/- 0.50% AP Span Error Contributor Value Tvpe Section RA + 0. 12% AP Span Random 6.8.1 CAL + 0.50% AP Span Random 6.8.2 DR + 0.97% AP Span Random 6.8.3 SPE + 0.40% AP Span Random 6.8.6 STE + 0.50% AP Span Random 6.8.4 TE + 2.13% AP Span Random 6.8.5 As Left Tolerance (ALT) + 0.50% AP Span Random 6.8.10 As Found Tolerance (AFT) + 1.20% AP Span Random 6.8.9 Total D vice Uncertaint + 2.58% AP Span Random 6.8.8 (non-accident) _ PS Random 6.8.8 Transmitter Uncertainty Summary

Computed By: Da0e: CAROLLNA POWERC& LIGHTCaMPANY alculation ID:

W. Robert Smith 08/28 / 02 ARLAPOE&LI;TC PNYRNP-VIN.ST.1041 Checked By: Date: CALCULATION SHEET Pg. 42 of 93 Rev: 3 Bob Hunter 08/28 / 02 l Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6.9 COMPARATOlR MODl TL E 6.9-1 Cnmparatnr's UInverified Attrihtites of Reference Acemirnry (RA ,

Per Reference 4.4.1, the comparator reference accuracy is +/- 0.50% Span. Per Reference 4.6.4, the comparator is calibrated to +/- 0.50% Span, and the calibration procedure verifies the attributes of linearity and hysteresis but not repeatability. Per Reference 4.6.1, the following equation is utilized to compute the repeatability portion of the comparator reference accuracy:

Repeatability = +/- RAcoln = +/- 0=50% Span = 0.29% Span Therefore, RAcomp = +/- 0.29% Span 6-9.2 Compgrator C(nlihration Tnleranir (('Al...

Per Reference 4.6.4, the comparator is calibrated to + 0.50% Span. Therefore, CALcomp = +/- 0.50% Span 6-9(3 Cnmparntor Drift (DR,,nmp, Per Reference 4.4.1, no drift is specified for the Hagan or NUS comparator. Per Reference 4.6.1, if no drift is specified for a device, a default value of +/- 1.00% Span may be used.

Based on historical data, Hagan comparator drift is + 0.25% Span (Attachment B). If the default value bounds the value obtained through a review of the historical data, the default value of +/- 1.00% Span may be used for comparator drift (Reference 4.6.1). Therefore, the default value of + 1.00% Span is used for comparator drift for the NUS and Hagan comparators.

DRcomp = +/- 1.00% Span

C_.uw B:

Computed By:

. ~ e 02:

Dae28 CAROLINA POWER & LKiHT COMPANY R

ki.__ ._. I lcutation 11):

Checkld By. Date: CALCULATION SHEET Pg. 43 of 93 Rcv: 3 Bob Hunter 08 /289 02 .

Pnrcci No.: NIA filEc Projclt Tik: NWA C2lculation itle: Feedwater Flow Loop Uncertainty and Scaling Calculation 6-9.4 Cnmpnrqfnr M&TF Effert (MTF..nmp')

Per Refcrences 4.5.1 through 4.5.6, one DMM with an accuracy of +/- 0.25% Reading is used to calibrate the comparator. For conservatism, a maximum reading of 5 Vdc is used to compute the accuracy of the DMM as follows:

MTEcomp = (0.25% Readingt 4Vdc = + 0.31%1 Span 6-9-5 Conmparatnr Tempernhtire Effect (TF,,,Ep; Per Reference 4.4.1, the NUS comparator temperature effect is given as + 0.04% Span per 10C change in temperature from the temperature at the time of calibration, and no temperature effect is specified for the Hagan comparator. Per Reference 4.6.1, if no temperature effect is specified for a device, a default value of + 0.50% Span may be used for the temperature effect. Per Design Input 5.6, a change in temperature of 42WF (23.330C) is used to compute the comparator temperature effect. Therefore, TEcomp= + 0.04% Span (23.330C)

TEcomp +/-0.93% Span Since either Westinghouse Ilagan or NUS comparator may be used, the most restrictive temperature effect (NUS comparator) is used in this calculation.

6 -96 Compartoir Power Supply Effect (P.SFm..j Per Reference 4.4.1, no uncertainty for the comparator power supply effect is specified.

Since the comparators are powered by regulated instrument buses, the comparator power supply effect is considered to be negligible. Therefore, PSEcomp = NIA

omputed fly 0828/ 02 CAROLINA POWER & LIGHT COMPANY CalcultionTI)-1 Checked By Date: CALCULATION SHEET IPg.44 oF 93 Re.: 3 Dob Hunter 08/28/02 _

Project No.: N/A Fulc:

Project

Title:

N/A Calculation Titk: Feedwater Flow Loop Uncertainty and Scaling Calculation 6.Q97 C-nmpir.rnr Total Dpvieyp IJncertainty (TnlM ..rn4a Total Device Uncertainty is computed using the following equation:

TDUcomp = +_(CALcom, + MTEcmp )2+ RA,2 + DRco ' + TE 2 TDUcomp = +/- 1.61% Span 6fi-8 Complaratnr As Fininnd Tnleraine, (AET4nmpl Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

AF.=mp= =p+/-VCAL Alimp- _.nS ,mp2 +DR 2+ MTE 2 AF7c ...I,=+/- 1. 16% Span

CopueBy: Dae Caclto ID Compute By:e 08/281 02 CAROLINA POWER & LIGHT COMPANY RNP.L'INSUT1041 Checked By: Date: CALCULATIONSIIEET Pg 45 of 9:3 Revr.3 BcbHuntert 0 281 02 Project No.: N/A File:

Pwoject

Title:

N/A Calculation Ttle: Feedwater Flow Loop Uncertainty and Scaling Calculation fi-9-9 Cormpsalrtor As Left Tnlersnn TA1.TrnQ)

Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTcomp = CALcomp ALTcomp = +/- 0.50% Span Error Contrbutor Value Type Section RA + 0.29% Span Random 6.9.1 CAL + 0.50% Span Random 6.9.2 DR + 1.00% Span Random 6.9.3 MTIF + 0.31% Span Random 6.9.4 TE + 0.93% Span Random 6.9.5 As Left Tolerance (ALT) + 0.50% Sgan Random 6.9.9 As Found Tolerance (AFT) + 1.16% Span Random 6.9.8 Total Device Uncertainty _ 1.61% Span Random 6.9.7 (non-accident) ., . ..

Comparator Module Uncertainty Summary

Computed By: Date: CAROLINA POWER & LIG.TCOMPANY Calulation ID:

W. Roben Smith 081281 02 RNP-VIN.W1041 Checked By. Date: CALCULATION SHEET PS. 46 of 93 Rev: 3 Bob Hunter 081281 02 Projct No: N/A File:

Project

Title:

N/A Calculation Tile: Feedwater Flow Loop Uncertainty and Scaling Calculation 6-10 ISOTATOR MODUTILE 6-10.1 1Elznltnr'g lTnvylrified Attrihidtec of Rpeerence Are'irney (RA,,,,A Per Reference 4.4.1, the reference accuracy of the NUS isolator is + 0.10% Full Scale, and the reference accuracy of the Hagan isolator is not spccified. Per Reference 4.6.1, if the reference accuracy of a device is not specified, the reference accuracy term is set equal to the calibration tolerance of the isolator. Per Reference 4.6.4, the isolator is calibrated to + 0.50%

Span, and the calibration procedure verifies the attribute of linearity but not hysteresis or repeatability. Per Reference 4.6.1, the following equation is utilized to compute the repeatability and hysteresis portions of the isolator reference accuracy:

RA. 1 0.50% Span Repeatability = +/-+ >/= +/- .Al = + 0.29% Span RA 0.50%Span Hysteresis = + = Sp = +/-0.29% Span Therefore, RAi5o = +/- 0.41% Span 6-10-2 cnisotor Cnlihrafinn Tnlerance ((CAL E)

Per Reference 4.6.4, the isolator is calibrated to - 0.50% Span. Therefore, CALi~so = + 0.50% Span 61 -10T'anltnr Drife)t (DRis Per Reference 4.4.1, no uncertainty for isolator drift is specified. The default value of +/-

1.00% Span is used to represent isolator drift (Reference 4.6.1) Therefore, DRisoi = +/- 1.00% Span

Computed By: Date: CAROLINA POWER& LIGHTCOMPANY Calculation 11).

W. Robert Smith 08 / 28/ 02 CAOIAPWR&LGTCMAYRNP-IIINST- 1041 Checked By Date: CALCULATION SHEEr Pg. 47 of 93 Rev: 3 Bob Hunter 08128 / 02 Project No.: NIAIIEkc:

Project

Title:

N/A CalculationTitle- Feedwater Flow Loop Uncertainty and Scaling Calculation 6-10 4 Isolatnr M&TE Effect (MMt,&g)

Per References 4.5.1 through 4.5.6, two DMMs are used to calibrate the isolator. Each DMM has an accuracy of +/- 0.25% Reading. The total MTE term is the SRSS of the individual DMM accuracy terms. For conservatism, a maximum reading of 5 Vdc is used to compute the accuracy of the DMMs as follows:

MTEiso= MTE +/-

+ 1 0 (2

, (0.25% Readingg{ 4 Vdc Vdc MTEi,.i = +/- 0.44% Span 6-10.' 1sn'a1tnr Temperatitre iffect (TF&,l Per Reference 4.4.1, the NUS isolator temperature effect is given as +/- 0.0 1% Full Scale per I'C change in temperature from the temperature at the time of calibration, and the temperature effect for the Hagan isolator is not specified. Per Reference 4.6.1, if the temperature effect for a device is not specified, a default value of +/- 0.50% Span may be used for the temperature effect term. Per Design Input 5.6, a change in temperature of 420 F (23.330C) is used to compute the isolator temperature effect. Therefore,

{ 5 Vdc Y100% Span Y23.33°C TEiol=+/-+0.01% Full Scale( 100%FulScalc 10 S 23.33 TEisot = +/- 0.29% Span Since either Westinghouse Rlagan or NUS module may be used, the most restrictive temperature effect (default value of +/- 0.50% Span) is used for the isolator temperature effect.

TEiot = +/- 0.50% Span

Computed By: Date: Calculation ID:

W Robort Smith 0 /28/ 02 CAROLINA POWER & LIGHTCOMPANY RNP-VINS W-1041 Checked By: Date: CALCULATION SHEET Ig.4S Of 93 Rev: 3 IBob Hunter 08 /28 / 02 Project No.: NIA File:

P'rojct Title N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6f10-6 Icnlatnir Pnwer Sjillly FWffectt ,,)

Per Reference 4.4.1, no uncertainty for the isolator power supply effect is specified. Since the isolators are powered by regulated instrument buses, the isolator power supply effect is considered to be negligible. Therefore, PSEisoi = N/A 6h110.7 Isolvitor Total Dlevioe ITncprtanty (TI)EMI5Jk Total Device Uncertainty is computed using the following equation:

TDU ol5 = +ij(CAL 3 5 0 l + MTE.Sol )2+ RA iso2 + DR isiq+TE5isol2 TDUi,50 = +/- 1.52% Span 6 10-X 1qlnaltnr As Found Tolerante (AFT 5,n't Per Reference 4.6.1, the As Found Tolerance (AT;T) is computed using the following equation:

2 AFTil = VCALiso 2+ DR + MTEI 2sol AFITisoi = +/- 1.20% Span

ComSputed B Date2 CAROLINA POWER LIGHT COMPANY C Calculation ID:

W. Robert Smith 08/28/ 02 C OLA WE& UTOPNYRNP-VINS7-1041 Checked By: ace: CALCULATION SIEET Pg.t9 of 93 Rey: 3 Bob Hunter 08 / 2g' 02 Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6.10.9 Isolator A's left TnlPruneP (AITi,,n Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTisot= CALisoI ALTisot = +/- 0.50% Span Error Contributor Value Te Section RA + 0.41% Span Random 6.10.1 CAL + 0.50% Span Random 6.10.2 DR + 1.00% Span Random 6.10.3 MTE + 0.44%Span Random 6.10.4 TE + 0.50%7JSpan Random 6.10.5 As Left Tolerance (ALT) + 0.50% Span Random 6.10.9 As Found Tolerance (ATT) + 1.20% Span Random 6.10.8 Total Device Uncertainty _ 1.52% Span Random 6.10.7 (non-accident)

Isolator Module Uncertainty Summary

Computled By: Date: CAROLINA POWER & LIGHTCD:PANY Calcuin IDl W. Rcbert Smith 08 /281/ 02 CAOIA~E IfTCMAYRNP-INST-1041I Checked By: Date: CALCULATION SIIEEr PS.50 of 93 e3 Bob Hunter 08/281 02 Prect No.: NIA File:

Proec

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-11 S(TJARFROOTMODTIT.E 6111.1 Sqiiare Rnot Mndidile's I Inverified AttrihitEs of Reference Accuracy (RA,'t)

Per Reference 4.4.1, the reference accuracy of the NUS square root module is + 0.50% Span, and the reference accuracy of the Hagan square root module is not specified. Per Reference 4.6.1, if the reference accuracy of a device is not specified, the reference accuracy term is set equal to the calibration tolerance of the square root module. Per Reference 4.6.4, the square root module is calibrated to + 0.50% Span, and the calibration procedure verifies the attribute of linearity but not hysteresis or repeatability. Per Refcrcncc 4.6.1, the following equation is utilized to compute the repeatability and hysteresis portions of the square root module reference accuracy:

Repeatability = +RA +/-0.50% Span 0.29% Span RAsqn 0-50% Span Hysteresis = + Ail 0 S 0.29% Span Therefore, RAsqn = + 0.41% Span 6 11.2 Sgqiire Ront Mnditle Canlihrrtinn Tnlerannre (CAI .va Per Reference 4.6.4, the square root module is calibrated to + 0.50% Span. Therefore, CALsqn = +/- 0.50% Span 6, 11.3 .qUiare Rant ModtIfe Drift (I)Rg5r, Per Reference 4.4.1, no uncertainty for drift is specified for the NUS or Hagan square root module. Per Reference 4.6.1, a default value of + 1.00% Span may be used to represent the expected drift for the total rack. The comparators already include the default drift value of +

1.00% Span. Therefore, no additional drift is included for the square root module.

DRsqrt = NIA

Computed By: Date: CAROLINA POWER & U(LHT COMPANY Calculation ID:

W. Robert Smith 081281 02 RN P-11INIST- 1041 Checked By:

Bob Huntri Datne 081281 02 VALCULATION SHEETr 'g.I of 93 l ReV 3 Project No.: N/A I File Project Tilk: N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6i,11.4 SrjIntre Rnnt Modnvit M&TF Effect (MTE,,ri',

Per References 4.5.1 through 4.5.6, two DMMs are used to calibrate the square root module.

Each DMM has an accuracy of +/- 0.25% Reading. The total MTE term is the SRSS of the individual DMM accuracy terms. For conservatism, a maximum reading of 5 Vdc is used to compute the accuracy of the DMMs as follows:

MT~sqr= ++j2A[(0.25% Reading:(4 (5 Vdc Vdc)]j MTEsqit = +/- 0.44% Span iil 1.5 .Squitare Rant MnunilP Temilerntire Effert T Per Reference 4.4.1, the NUS square root module temperature effect is given as +/- 0.03% Full Scale per 1 0C change in temperature from the temperature at the time of calibration, and the temperature effect for the Hagan square root module is + 0.01% Span per 1 0C. For conservatism, the temperature effect associated with the NUS module is used. Per Design Input 5.6, a change in temperature of 42 0F (23.33CC) is used to compute the square root module temperature effect. Therefore, 5 Vdc Y 100% Span Y 23.33°C\

TEsqn = +/- 0.03% Full Scale( 100% FulScal 4 Vdc F C )

TEsqrt = +/- 0.87% Span 6f- 1.6 Sqiulrp Rloot Mounle Power Siurply Effaet (PSF'4q,!

Per Reference 4.4.1, the power supply effect for the NUS square root module is given as +

0.01% Reading for a variation of +/- 10% in supply voltage, and no uncertainty for the Hagan square root module power supply effect is specified. Since the square root module is powered by regulated instrument buses, the square root module power supply effect is considered to be negligible. Therefore, PSEqrt = N/A

Computed By: 08/28/ 02 CAROLINA POWER & LIGUrTCOMPANY CIalcltin ID:

Checkcd By: Date. CALCULATION SHEET PS. 52 r93 f Rev: 3 Bob lunter 08 /28t 02 Project No.: N/A Eil:

Project Tit-. N/A Calculation Tidle: Feedwaltte How Loop Uncertainty and Scaling Calculation 6h11.7 Sqgiuare Rent Modifle Total Deviep I Incertainfy (Tfl h re'd Total Device Uncertainty is computed using the following equation:

TDUsqr1 = _ I(CALsqn + MTESqn + RA 2+ TEs TDUsqri = +/- 1.34% Span 6h1l.XR Sguunre RUnt Modile Ac Foind Taler-ince (AET,4ta Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

2 AFTsqn=+ CAL+/- +MTE 2 Arrsq, = +/- 0.67% Span

Computcd By: Ditc: CAROLINA POWER & LIGHTrCOMPANY Calcubtion ID:

W. Roben Smith 08 /28 / 02 RNP-tIN.VWN1041 Checked By: Datc: CALCULATION SHEET Pg 53 of 93l Rv: 3 Bob Hunter 08 / 25 / 02 Prujcct No.: N/A Ile Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-11-9 Sqlmitre Root Mnorule A-, Teft Toleranie (AI.T.qrt)

Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTsqrt = CALiqn ALTsqrt = +/- 0.50% Span Error Contributor Value Type Section RA + 0.41% Span Random 6.11.1 CAL + 0.50% Span Random 6.11.2 MTE + 0.44% Span Random 6.11.4 TE + 0.87% Span Random 6.11.5 As Left Tolerance (ALT) + 0.50% Span Random 6.11.9 As Found Tolerance (AFT) + 0.67% Span Random 6.11.8 Total Device Uncertainty +/- 1.34% Span Random 6.11.7 (non-accident)

Square Root Module Uncertainty Summary

Computed By: Date: CAROLINA POWER & LIGHT COMPANY Calculotion ID)

W. Robert Smith 08 /28/ 02 RNP.1/IN.ST-041I Checked By: Date: CALCULATION SHEET Pg 54 of 93 Rev: 3 Bob Hunter 08/28 / 02 1 Project No.: N/A File:

Project

Title:

N/A Calculation Title-t Feedwater Flow Loop Uncertainty and Scaling Calculation ha12 INDOICATOR 6 12.1 Tndientnr'i. TUnverified Attrhulate nf Rpferenre Arelxrary (RAinAt Per Reference 4.4.2, the reference accuracy of the indicator is +/- 2.00% Span and includes the effects of linearity, hysteresis, and repeatability (Design Input 5.4). Per References 4.5.1 through 4.5.6 and 4.6.4, the indicator is calibrated to +/- 2.00% Span at eleven points (6 up and 5 down). Therefore, the calibration procedure verifies the attributes of linearity and hysteresis but not repeatability. Per Reference 4.6.1, the following equation is utilized to compute the repeatability portion of the indicator reference accuracy:

• RA .,, 2.00% Span Repeatability= + ." == = 1. 15% Span Therefore, RAind =+ 1.15% Span 6f12.2 Indlortnr (Calibration TolpranCp (C(AT&I.;j Per Reference 4.6.4, the indicator is calibrated to +/- 2.00% Span. Therefore, CALind = +/- 2.00% Span 6-1l2-3 Inffleictor Drift (l}R,,,)

Per Attachment C, indicator drift is specified as + 1.00% Span per year. PerReference4.6.1, the time interval between calibrations is 22.5 month (18 months + 25%), and the following equation is used to compute the indicator drift:

DR d =+ 1.00% Span( 22.5 months '

DRnd = 1.712 monthsa DRind =+/-1.37% Span

Computed By: bate: CAROLINA POWER & UGHIT COMPANY Calculation ID.

W. RobertSmith 03128) 02 RNI.IIVINST-1041 Checked By: Date: CALCULATION SHEET Pg.55 of 93 Rev: 3 Bob Hunter 08 / 28/ 02 Project No: N/A File:

Project TItle: N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-12.4 Jndiratnr M&TF Fffpert (MT~ind Per References 4.5.1 through 4.5.6, one DMM with an accuracy of +/- 0.25% Reading is used to calibrate the indicator. The calibration points are cardinal points on the indicator scale per References 4.5.1 through 4.5.6. Therefore, the indicator resolution is not included in the MTE term. For conservatism, a maximum reading of 5 Vdc is used to compute the accuracy of the DMM as follows:

MTEind +/- (0.25% Reading( Vdc = + 0.31% Span 4 Vdc) 6-1'231; Indientor Temprraftirt Effect (T&.a]

Per Attachment C, the indicator temperature effect is specified as + 0.10% Span per 1I'C change from the temperature at the time of calibration. Per Design Input 5.2, a change in temperature of 9.40C is used to compute the indicator temperature effect.

TEind =4.010%Span( .4CC)

Ein= +/- 0.94% Span 6.12-6 Indientnr Pnwer StiRpply FfftNf (PS;F::,

Per References 4.1.1 through 4.1.3, the indicators are not powered by an external source.

Therefore, there is no indicator power supply effect.

PSEind = N/A

Computed By: D1r: CAROLINA POWER & Ll(iHT(X)MPANY RNcul-Vion If):

W. Robca Smith 051281/ 02 CRLAP E&U(TOPNYRNP-VINST-1041 Cecked By:

Bob Hunter Date:

08/281 02 CALCULATION SHEET ig56 of 93 lReV: 3 Projcct No.: N/A File:

Projcct

Title:

N/A Calculation Title Feedwater Flow Loop Uncertainty and Scaling Calculation 6-12-7 Indocntnr Rt-dnbhility (RDind.'

Per Reference 4.6.1, the indicator readability term is '/z of the smallest indicator scale demarcation. Per References 4.1.4 and 4.1.5, the indicator has a scale of 0 to 4x 106 Ibm I hr with minor demarcations of 0.2x 106 Ibm / hr. Thereforc, 0O.2x 106 Ibm /hr^ I100% Span RD10R~n=t dl= +/- O2x O6 b / r 1 4 06 I m h = + 2.50% Span 2 14x 10 lbrn/hr -

6-1 2.8 Indorstor Tnttnl lDPvire I Jnrprtninty (TflhlT 1n Total Device Uncertainty is computed using the following equation:

TDU, =+/- CALind +MTEi )2+ RA i 2

+ DR i2+ TE 2

+ RD1 2 TDUind = +/- 3.96% Span 6f12.9 tndlicntnr As Fnuind Tolprnne_ (AiT1~A Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

AFTiCd = +/- VCAL fd ind 2 +MTEnd 2 2+ DR AFTind = +/- 2.44% Span

Computert Bly: at/ CAROLINA POWER & LDGDTCOM:PANY Calculation ID:

W. Robert Smiih 08/128 / 02 CRLAPOE&LGTCMPNYRN P4/INST. 1041 Checked By: Date: CALCULATI1ON SIIEET rs7 Of 93 Rev: 3 Bob Hunter 08/28/ 02 Project No.: NIA file:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6-121) Tndlieator As Left Tolerancep (ALTMd Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTind = CALimd ALTind = +/- 2.00% Span Error Contributor Value TvneSection RA + 1.15% Span Random 6.12.1 CAL + 2.00% Span Random 6.12.2 DR + 1.37% Span Random 6.12.3 MTE + 0.31% Span Random 6.12.4 TE + 0.94% Span Random 6.12.5 RD + 2.50% Span Random 6.12.7 As Left Tolerance (ALT) + 2.00% Span Random 6.12.10 As Found Tolerance (AFT) + 2.44% Span Random 6.12.9 Total Device Uncertainty +/- 3.96% Span Random 6.12.8 (non-accident) . . .

Indicator Uncertainty Summary

Computed By. Wae: CAOIAPWR&LGTCN AYCalculation It.)

W. Robeen Smith 08 / 28/ 02 CAROLINA POWER & LGHT COMPANY CNa-lcatnINs.04 Checked By: Date: CALCULATION SHEEr Pg.58 Of 93 lRev: 3 Bob Hunter 08/28/ 02 Project No.: N/A File:

Project

Title:

N/A Cculation Title. Feedwater Flow Loop Uncertainty and Scaling Calculation 6f13 RECORIDFER 6f13-1 Rprarder's Tlnverifierl Attrihttec nf Rererence Acruracy JRA...I Per References 4.1.7 through 4.1.9, the recorder input span is I to 5 Vdc. Therefore, the specifications for a 6 Vdc input range are used to compute the recorder Reference Accuracy.

Per Reference 4.7.11, for a 6 Vdc input range, the maximum resolution of the input is I mVdc (0.001 Vdc) and the Measurement Accuracy for the recorder is given as +/- (0.3% of reading + 3 digits). Therefore, the recorder Reference Accuracy (RArec) is calculated as follows:

RArc = +/- (0.3% Reading + 3 digits)

RArec = _ (0.3%7o x 5 Vdc + 3 digits)

RArec = +/-(0.015 Vdc + 0.003 Vdc) = +/-0.0 18 Vdc RArec =+/-0.018 Vdd 00% Span 4 Vdc)

RArec =+/- 0.45% Span 6.13.2 Rpenrder Calihraltinn Tn1eprnep (CASTS Per Reference 4.6.4, the recorder is calibrated to + 0.50% Span. Therefore, CAL. = +/-0.50% Span 6f13-3 Rernprder Drift (DlR,1.

Per Section 5.19, no recorder drift is specified and recorder drift is assumed to be included in the Reference Accuracy and Temperature Effect specifications. Therefore, DRrec = N/A

Computed By- Date- CAROLNA POWER & LIGHT COMPANY Cakulation ID:

W. Robert Smr~th 08/ 28 / 02 RNP4IINST-1041 Checked By: Date: CALCULATION SHEET g.59 of 93 lRcv. 3 Bob Hlunter 08128/ 02 Project No.: N/A Fik:

Project Title N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 6,13.4 Rfeirrer M&TE Effeet (MTFxw)

Per References 4.5.1 through 4.5.3, one DMM with an accuracy of +/- 0.25% Reading is used to calibrate the recorder. For conservatism, a maximum reading of 5 Vdc is used to compute the accuracy of the DMM as follows:

MITErc = (0.25% Reading Vd= 0.31% Span 4 Vdc) i6 13 5 Reenrder Tempernatfrp Efflet ClF.)

Per Reference 4.7.11, the Recorder Ambient Temperature Effect is given as +/- (0.1% of reading + I digit) for ambient temperature variation of 10C (181F). Per Reference 4.7.1 1, the recorder is located in the Control Room. Per References 4.1.7 through 4.1.9, the input range of the recorder is 1 to 5 Vdc. Per Section 5.2, the Control Room is maintained between 600F and 770 F (AT of 17 0F). The 18 0 F temperature variation is bounding for this application. Therefore, the Recorder Temp Effect (TEiec) is calculated as follows:

TErec = +/- (0.1% Rcading + 1 digit) (17 0 F I 180 F)

TE,,,c = +/- (0.1% x 5 Vdc + 1 digit) (170 F I 180 F)

TErec = +/- (0.005 Vdc + 0.001 Vdc ) (170F / 180 F)

Tre = +/- 0.006 Vdc ThErec = 0-c(

0000 Span TErec =+/-0.15%Span

W. RCote Smith 08/281 02 CAROLINA POWER & LIGHT COMPANY Calulation ID.

Checked By: Date: CALCULATION SHEET P 60 of 93 Rev 3 Bob Huntcr 081281 02 Project No.: NMA File:

Project

Title:

N/A Calculation rhie: Feedwater Flow Loop Uncertainty and Scaling Calculation 6.13.6 Reenrder Power Siipply Fffet (PSE.,

Per Reference 4.7.11, the power supply effect for a variation within 90 to 132 Vac is less than I digit. Per Reference 4.2.1, power variations will remain within this band. Per Reference 4.6.1, uncertainties less than or equal to +/- 0.05% of Span have a negligible effect on calculation results and may be omitted from the calculation. Therefore, PSErec= N/A 6,13-7 Reranrder RPnlhbility (RDr,.

Per Reference 4.7.1 1, for a 6 Vdc Volt Range recorder, minimum recorder resolution is 0.001 VDC. The recorders have an input span of 4 Vdc (I to 5 Vdc). Therefore, 0.OOlVdc RDrcc+ ~ =+/-00%Sa

- 4.00OVdc - 0.3% Sp Per Reference 4.6.1, uncertainties less than or equal to +/- 0.05% of Span have a negligible effect on calculation results and may be omitted from the calculation. Therefore, RDrec= N/A 6.13:8 Reenrrler Tonl Devoke I 1neprfgsinty (TDTre 1, Total Device Uncertainty is computed using the following equation:

TDUrec = +/(CALrec + MTEe )2 +RArx2 +mTErc2 TDUrec = +/- 0.94% Span

Computed By: Date: CROUINA POWER & LIGHT COMPANY ICalcultbon 1ID-W. Robert Smith 0_128) 02 RNP-VINST-1041 Checked By: Date: CALCULATION SHEET Pg 61 of 93 Rev 3 Bob Hunter 08128 /02 Prect No.: N/A File:

Projec

Title:

N/A calculation tk-Feedwater Flaw Loop Uncertainty and Scaling Calculation 61i3.<9 Rpnrder Ag-Fnound Tolernnre (AETL-Per Reference 4.6.1, the As Found Tolerance (AFT) is computed using the following equation:

22 AFrrec = +/- CAL c2 +MTE r2 AFTrec = +/- 0.59% Span 613-10 RFenrdrler A.- T.Pft Tnlerner. (ALT...A Per Reference 4.6.1, the As Left Tolerance (ALT) is computed using the following equation:

ALTrec = CALrec ALTcc = +/- 0.50% Span Error Contributor Value TyPe Section RA + 0.45% Span Random 6.13.1 CAL +0.50% Span Random 6.13.2 DR N/A N/A 6.13.3 MTE + 0.31% Span Random 6.13.4 TE +0. 15% Span Random 6.13.5 RD N/A N/A 6.13.7 As Left Tolerance (ALT) + 0.50% Span Random 6.13.10 As Found Tolerance (AFT) + 0.59% Span Random 6.13.9 Total Device Uncertainty + 0.94% Span Random 6.13.8 (non-accident) I _

Recorder Uncertainty Summary

Computed By OR C: CAROLINA pOWER & LGHTCOMPANY Calculation ID):

W. Rotxn Smitih 051/2K/ 02 CRIAPOE&UCrOM NYRNP'.,'LNS.W1041 Checked By: DMe: CALCULATION SHEET Pg.62Of 93 l Rew 3 Plob Ifunier ORI 2R 1 02 I Prqject No.: NtA File:

Project

Title:

NIA Calculation rle:

i Feedwater Flow Loop Uncertainty and Scaling Calculation 7-O TOTA1. 1,01P uINCERTAINTY CTT.I1) 7.1 TOTAI. 1.00E I NC'FRTAINTY -1P1 .ANT NORMAL 7.1.1 Tntnl loolp Ulnertsinty - Inpit to FRFI5 Per Reference 4.6.1, the total loop uncertainty at the input to ERFIS is computed with the following equation:

TLUERFIS = I+PE +TDU., 2+U

+TDUij50, PMEDENSITY + PMEPIPING + FC Notc: The most conservative transmitter uncertainty (See Section 6.8) is used to compute the total loop uncertainty.

Flow Rate PE TDUxmtr r T'DUjsj1 TLUrandom

(% Fow Span) (% A P Span) (% A P Span) (% A P Span) (% AP Spatn) 85.75% 0.37% 2.58% 1.52% 3.02%

77.18% 0.30% 2.58% 1.52% 3.01%

68.60% 0.24% 2.58% 1.52% 3.00%

60.03% 0.18% 2.58% 1.52% 3.00%

42.88% 0.09% 2.58% 1.52% 3.00%

positive negative Flow Rate FC PMEpIPING PMI[EPIPING PMEjFvsn-Y TLU TLU

(% FlowSpan) (% APSpan) (% A P Spn) (% A P Span) M & P Span) (% A P Spn) (% A P Span) 85.75% -0.95% 1.48% -1.46% 0.01% 4.51% -5.43%

77.18% -0.77% 1.20% -1.19% -0.59% 4.21% -5.56%

68.60% -0.61% 0.95% -0.94% -0.94% 3.95% -5.49%

60.03% -0.46% 0.72% -0.72% -1.06% 3.72% -5.24%

42.88% -0.24% 0.37% -0.37% -0.95% 3.37% -4.55%

Computed By: Date: Calculation ID):

W. Robert Smith 08 / 28/ 02 CAROLINA POWER & LIGHT COM PANY RNPVIIN.S- I041 Checked By: Date: CALCULATION SHEET Pg 63 of 93 Rev 3 Bob Hunter 08 / 281 02 Project No.: NIA Filk Project

Title:

NIA Calculation

Title:

Feedwater now Loop Uncertainty and Scaling Calculation 7.1.2 Tntal 1 nr I nMertninty - Tnrideator FT-476, 477, 486, 487, 4926 ANI) 497 Per Reference 4.6.1, the total loop uncertainty associated with the indicator is computed with the following equation:

TLUind+/- = +/- VPE' + TDU,,,,, + TDUqt 2 + TD U1j,0 +TDUlJnF + PIMEDENSrry + PMEPrPINU + FC Per Design Input 5.1 1, the transmitter uncertainties are converted from % AP Span to % Flow Span with the following equation:

TDUxmt, (% Flow Span) = IA4TDU.m, (%APSpan) )

2(Flow Rate) )

where TDUmtr (% AP Span) = +/-2.58% AP Span Note: The most conservative transmitter uncertainty (See Section 6.8) is used to compute the total loot unceraintv.

Flow Rate PE TDUxmtr TDUsqrt TDUi,,i TDUInd TLUrandom

(% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% nlowSpan) (% FlowSpan) (% FlowSpan) 85.75% 0.21% 1.50% 1.34% 1.52% 3.96% 4.70%

77.18% 0.19% 1.67% 1.34% 1.52% 3.96% 4.76%

68.60% 0.17% 1.88% 1.34% 1.52% 3.96% 4.83%

60.03% 0.15% 2.15% 1.34% 1.52% 3.96% 4.94%

42.88% 0.11% 3.01% 1.34% 1.52% 3.96% 5.37%

positive negative Flow Rate FC PMEPIPING PMEpIPING PMEDENSITY TLU TLU

(% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) 85.75% -0.55% 0.86% -0.86% 0.01% 5.57% -6.11%

77.18% -0.50% 0.77% -0.77% -0.38% 5.53% -6.41%

68.60% -0.44% 0.69% -0.69% -0.69% 5.52% -6.65%

60.03% -0.39% 0.60% -0.60% -0.89% 5.54% -6.82%

42.88% -0.28% 0.43% -0.43% -1.12% 5.80% -7.20%

Computed By: Date: CAROL POWER & LlG11COhPANY Calculation ID:

W. Robert Smith 0 / 281 02 CRLNPO R&L1TOPAYRNP-4/INST-1041 Checked By: Date: CALCULATION SHEET Pg. 64 of 93 Rev: 3 Bob Hunter 08 28/ 02 Project No.: NIA File:

PNegit itle: N/A Calculation

Title:

Feedwater Flow Loop Uncertainly and Scaling Calculation 7_1.3 Totnt 1o TTneprtninty - Reeorder FR-478. 488, AND 498 Ip Per Reference 4.6.1, the total loop uncertainty associated with thc recorder is computed with the following equation:

2 TLU,.c = +I PE2+ TDU + TDUjq2 2utZ +TDU; 3 1 + TDU Me2+ PMEDENS"IY + PMEPJPING + FC Per Design Input 5.11, the transmitter uncertainties are converted from % AP Span to %

Flow Span with the following equation:

TDUxm,,tr (% flow Span) = IO1TDUxm. (% AP Span)

( 1 S )2(Flow Rate) where TDU,,fn (% AP Span) = +/-2.58% AP Span Note: The most conservative transmitter uncertainty (See Section 6.8) is used to compute the total loop uncertainty.

Flow Rate PE TDUxmtr TDUsqrt TDUlsol TDUrec TDUrandomn

(% Flow Span) (% Flow Span) (% Flow Span) (% Flow Span) (% Flow Span) aw (% Fow Span) 85.75% 0.21% 1.34%

1.50% 1.53% 0.94% 2.70%

77.18% 0.19% 1.67% 1.34% 1.52% 0.94% 2.80%

68.60% 0.17% 1.88% 1.34% 1.52% 0.94% 2.92%

60.03% 0.15% 2.15% 1.34% 1.52% 0.94% 3.10%

42.88% 0.11% 3.01% 1.34% 1.52% 0.94% 3.75%

Positive Negative Flow Rate FC PMEPIPING PMEPfPING PMEDENsrFy TLU TLU

(% Flow Span) (% Flow Soan) (% Flow Span) (% Flow Span) (% Flow Span) (% Flow Snan)  % Flow Span) 85.75% -0.55% 0.86% -0.86% 0.01% 3.57% -4.11%

77.18% -0.50% 0.77% -0.77% -0.38% 3.57% -4.45%

68.60% -0.44% 0.69% -0.69% -0.69% 3.61% -4.74%

60.03% -0.39% 0.60% -0.60% -0.89% 3.70% -4.98%

42.88% -0.28% 0.43% -0.43%_ -1.12% 4.1-8% -5.58%

Computcd By. Date- CAROLINA POWER & LIGHT COMNPANY Calcubtion ID:

W. RobetSmith 08 28 / 02 ,RNP-LIINST-1041 Checked By- Date: CALCUILATION SIIEET Pg. 65 of 9'3 Rev: 3 llob Hlunter 08 t281t 02 Projt No.: N/A IIFile:

Project TitLk: WIA Calcuion

Title:

Fecdwater Flow Loop Uncertainty and Scaling Calculation 7.1.4 Totrl rnop llIniertninty - Compnrntnrc The comparator uncertainty is computed in Section 7.3.

7.2 TOTAL .l.lP ITNCPRTAINTY - A CMDUNT Per Section 6.1, accident effects are not considered for these loops.

7.3 TOTAL. lOOP IINCERTATNTY - POST SFISMIC FC-47RA 47RR 479C 47RD) 4RRA 4RR 4RRC' 4RRD 49RA 494R 4c9C 4QR4)

The comparators in each loop provide an alarm on feedwater flow greater than steam flow, an alarm on feedwater flow less than steam flow, and a steam flow / feedwvater flow mismatch reactor trip signal. Per Scection 7.3.2 of Reference 4.2.3, the random and bias steam flow uncertainties are as follows:

FCRANDOM Flow Flow PE Uncertainty TDUxmtr TDUsqrt SExmtr

(% Flow) 1% Flow Span) (% Flow Span) (% Flow Span) (% Flow Span) (% Flow Spn (%17wSan).

100% 85.75% 0.64% 0.56% 1.69% 1.42% 0.81%

90% 77.18% 0.58% 0.54% 1.87% 1.42% 0.90%

80% 68.60% 0.51% 0.51% 2.11% 1.42% 1.01%

70% 60.03% 0.45% 0.47% 2.41% 1.42% 1.16%

50% 42.88% 0.32% 0.36% 3.37% 1.42% 1.62%

Flow Flow SI;random pOS PME neg PME

% Flow) (% Flow SPAn %YFlowSpAn) (% Flow Spa AFlo pan) 100% 85.75% 2.51% 0.98% -0.86%

90% 77.18% 2.64% 0.83% -1.1 1%

80% 68.60% 2.83% 0.77% -1.33%

70% _-60.03% 3.08% 0.70% -1.41%

50% 42.88% 4.03% 0.53% -1.28%

Computed By: Date: CAROLINA POWER & LCGHTC'MPANY Calcutilion ID:

W. Robert Smith 08128 / 02 CAOIA~E IH(OIAYRNP-VIN.W-1041 7

Checked By: Date: CALCULATION SHEET Pg 66 of 93 Re Bob Huntl _ 09128/ 02 -

Project No: NMA File:

Project Tite: N/A CalkubtionTItlc: Feedwaler Flow Loop Uncertainty and Scaling Calculation Per Design Input 5.11, the feedwater flow transmitter uncertainties are converted from % AP Span to % Flow Span with the following equation:

TDU. (%Flow Span)= Io(TDUn (% AP Span) '

( xFlotr TD~ Spa ) = OL~ 2(Flow R ate) J where, TDUxmtr (% AP Span) = 4 2.58% AP Span (Section 6.8.8)

Flow Rate = fraction of actual flow (e.g. 85.75% = 0.8575)

The same equation is used to convert the feedwater flow transmitter Seismic Effect (SExmtr = + 1.25% AP Span per Section 6.2) to % Flow Span.

Note: The most conservative transmitter uncertainty (See Section 6.8) is used to compute the total loop uncertainty.

Flow Rate SExmtr TDU.mtr

(% FlowSpan) (% FlowSpan) (% FlowSpan) 85.75% 0.73% 1.50%

77.18% 0.81% 1.67%

68.60% 0.91% 1.88%

60.03% 1.04% 2.15%

42.88% 1.46% 3.01%

Copue _y- Da. . .aulo I [D.

Computed By 08/28/ 02 CAROLINA POWER & UOHTCOMPANY (Rku NTiID.

104 Checked By: Date: CALCULATION SHEET Pg.67 of 93 Rcv: 3 Rob Huntcr 08 28 / 02 Projec No.: N/A Fie:

Project Titk: N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Thc following equation is used to compute the overall total loop uncertainties associated with each setpoint:

TLUcomp = +/- VPE2 + SF,,,oaQ + TDU tr + TDUsqn2 + TDUCCM 2 + SE,, rn2 + PMENENSrrY + PMEI'IPINO

+ FC + SF pos PME + SF neg PME Flow Flow PE SFrundo. TDUsqrt TDUcomp TLUrandoin

(% Flow) (_%eFlow Span) (% Flow Span) (% Flow Span) 1% Flow Span) (% Flow SRan) (% Flow Span) 100% 85.75% 0.21% 2.51% 1.34% 1.61% 3.68%

90% 77.18% 0.19% 2.64% 1.34% 1.61% 3.85%

80% 68.60% 0.17% 2.80% 1.34% 1.61 % 4.10%

70% 60.03% 0.15% 3.10% 1.34% 1.61% 4.44%

50% 42.88% 0.11% 4.03% 1.34% 1.61% 1 5.64%

Flow Rate FC PMEPIPING PMEpIPING PMEEDstty SFpos PME SFneg PME

(% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) (% FlowSpan) 85.75% -0.55% 0.86% -0.86% 0.01% 0.98% -0.86%

77.18% -0.50% 0.77% -0.77% -0.38% 0.83% -1.1 1%

68.60% -0.44% 0.69% -0.69% -0.69% 0.77% -1.33%

60.03% -0.39% 0.60% -0.60% -0.89% 0.70% -1.41%

42.88% -0.28% 0.43% -0.43% -1.12% 0.53% -1.28%

Flow Flow pos TLU neg TLU

(% Flow) (% Flow Span) (% Flow SranL t% Flow Span) 100% 85.75% 5.53% -5.95%

90% 77.18% 5.45% -6.61%

80% 68.60% 5.56% -7.25%

70% 60.03% 5.74% -7.73%

50% 42.88% 6.60%/s -8.75%

Comiputed By- Date: CAOIAPWR&LGTCMAYCalculation II).

W. Robet Smith 08 28 / 02CAROL DAPOWER&LIGHTCOMPANY RN-NINSIN-1041 Checked By Date: CALCULATK)N SHEET Pg.6S of 97t Rev: 3 Bob Huntcr 08 / 28 / 02 Project No.: N/A File:

Project

Title:

N/A Calculation Titlc: Feedwater Flow Loop Uncenainty and Scaling Calculation 7.4 LOOP AS FOINl) TOLERAN(-F 7.4.1 LAnp AR Fmtindl TnlPrlnce - Indicator FT-476 477. 46, 47 496 AND 497 Per Reference 4.6.1, the following equation is used to calculate the indicator Loop As Found Tolerance (LAFTind):

LArrrind = +/- 4AFTrr + AFTn' + AFI',,2 + AFTQ,, 2 Per Design Input 5.1 , the transmitter as found tolerance is converted from % AP Span to %

Flow Span with the following equation:

AI-xmtr (% Flow Span) = 10A( AFT (%APSpan) where AFTxmt, (% AP Span) = +/- 1.20% AP Span (Section 6.8.9)

For conservatism, the LAFTind is computed for a flow rate of 100% which yields the most restrictive tolerance.

LAFI'ind = +/- 2.86% Flow Span

Computcd By: 08128t02 CAROLINA POWER& LIGHTCOMPANY RNrCalcNSTionI Checked By: Date: CALCULATION SHEETI1 Pg. 69 93 Rcv 3 Bob Huntcr 08128 / 02 Pmjcvt No.: N/A File Project

Title:

N/A Calculation

Title:

Fccdwater Flow Loop Uncertainty and Scaling Calculation 7.412 lVop As Found Tolerance - Ri-crder FR-478. 488 AN) 49R Per Reference 4.6.1, the following equation is used to calculate the recorder Loop As Found Tolerance (LAFTrec):

LAFTnx = AFTn,U,,, + AFTn 2 + AFEs, 2 + AFT,,

Per Design Input 5.1 1, the transmitter as found tolerance is converted from % AP Span to

% Flow Span with the following equation:

F AFITm, (% AP Span)

AFTitmir (%tFlow Span) = 1OL~ 2(Flow Rate) where AFTFnt, (% AP Span) = +/- 1.20% AP Span (Section 6.8.9)

For conservatism, the LAFtTcc is computed for a flow rate of 100%} which yields the most restrictive tolerance.

LAFTrhc = +/- 1.6 1% Flow Span 7.4.3 loop As Found Tolerance - Input to ERFIS Per Reference 4.6.1, the following equation is used to calculate the ERFIS Loop As Found Tolerance (LAFTERrIS):

LAFTERF1S = i AFTJ 1 2 + AFT,...

LAFTERFIS = +/- 1.70% AP Span

C'omputed By- E~te' Calculation ll):

W. Ro*bcn Smr~ith 08 102 CAROLINA POWER & LI;IIT COMPANY RNkuNt-ID.

Checked By: Date: CALCULATION SHEET Pg 70 of 9 l Kev: 3 Bob Hunter 08 / 28 / 02 l Project No.: N/A Filc Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertaintly and Scaling Calculation 7-4-4 Loop A: Found Tharnnre - Cnmpnlr.-tjrn Fl-47RA 47RR 47RC, 47Rfl 4RRA 49R1 4RRt- 4P91l 4)RA. 49RnR 4Q(R 49R1)

Per References 4.1.1 through 4.1.3, each comparator receives an input from the steam flow loops F-474, 475,484,485,494, and 495. Therefore, the Loop As Found Tolerance includes the effects of the transmitter and square root extractor, which are present in the steam flow loops. Per Reference 4.2.3, Section 6.6.9. the As Found Tolerance of the transmitter (SF_.AF`7xmtr) in each steam flow loop is +/- 0.90% AP Span. Per Reference 4.2.3, Section 6.8.8, the As Found Tolerance of the square root extractor (SF._AFTqn) in the steam flow loops is +/-

0.74% Span. For conservatism, the tolerance associated with the steam pressure transmitter is not included in the loop As round Tolerance computation.

Per Reference 4.6.1, the following equation is used to calculate the comparator Loop As Found Tolerance (LAFTcamp):

LAFTcomp =+VSF_ AFT,,,,

2

+SF AFTr, + AFIm, 2 + AFTIt 2 + AFT,,f 2 Per Design Input 5.1 1, both transmitter As Found Tolerance terms are converted from % AP pan to % Flow Span with the following equation:

AFTt, Flw San) % F~n (%AP Span)'

(% Fo A Sn) 2(Flow Rate) )

where A}Txmj (% AP Span) = +/- 1.20% AP Span (Section 6.8.9)

SF_AFrxmtr(% AP Span) = +/- 0.90% AP Span (Reference 4.2.3, Section 6.6.9)

For conservatism, the LAFrcomp is computed for a flow rate of 100% which yields the most restrictive tolerance. At 100% flow:

AFTxcmtr (% Flow Span) = +/- 0.60% Flow Span SFAFI ,mtr (%Flow Span) = +/- 0.45% Flow Span LAFTcomp = +/- 1.70% Flow Span

ComptedBy:Dut: CROLNA PWER& LGHTCOMANY Calcukition ID:

W. Robert Smith 08/28/ 02Oi ~ LN WR IH O~PN RNP-VfINST-1 041 CheckedBy DteCALCULATION SHEET Pg.71 of 93 Rev: 3 Bob Hunter 08 / 28 / 02 Project No.: NA File:

Projcct Tille: N/A Calculation Tikf Feedwater Flow Loop Uncertainty and Scaling Calculation 7.; GzROT TP AS FOUND TOLFRA NCJ 7.5 1 Grnmip As Fnund Tnlerirnnce_ ln-dientor F1-476- 477, 486, 487, 496 ANT) 497 Per Reference 4.6.1, the following equation is used to calculate the indicator Group As Found Tolerance (GAFTind):

GAFITid = +VAFTr,, + AFvjr, + AFr,,,1, 1

GAFI'ind = +/- 2.80% Span 7 2 Groulp As Fonind Tnlermine - Rp-corrlr FR-478. 4%% AND 498 Per Reference 4.6.1, the following equation is used to calculate the recorder Group As Found Tolerance (GATfec):

GAFT., = +/-VAjq 2 + AFTi,,1 2 + AFTj2 GAFTS, = +/- 1.50% Span 7-5-3 Grojilp As Found Tolernnce - Tnpidt tb FRFIS Per Reference 4.6.1, the following equation is used to calculate the ERFRS Group As Found Tolerance (GAFTERFls):

GAFTERFIS = +/- AFTiso1 GAFTERs = + 1.20% Span

Ro'mputed By:Dt 0828 02 CAROLINA POWER & LIGHT COMPANY RNPClcINST-i1n41 Checked By: Date: CALCULATION SHEET Pg.72 Of 93 lRev: 3 Bob Hunter 08 /28 / 02 Project No.: N/A File:

Projct litk: N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 7-5-4 Grnitp Aq F&itnd Tolernnep - Comparatarc FC-478A 47R1R 47C, 47RD 488A 481, 488C 49D 49RA 49Rf, 498C' 4qRD Per References 4.1.1 through 4.1.3, each comparator receives an input from the steam flow loops F-474, 475,484,485,494, and 495. Therefore, the Group As Found Tolerance includes the effects of the square root extractor, which is present in the steam flow loops. Per Reference 4.2.3, Section 6.8.8, the As Found Tolerance of the square root extractor (SFAFrqr) in the steam flow loops is + 0.74% Span. Per Reference 4.6.1, the following equation is used to calculate the comparator Group As Found Tolerance (GAFrcomp):

GAFrcomp = +/- IISF - AF'sqn2 + AFTIq 0 2+ AFrTc., -

GAFrcomp = +/- 1.53% Span

Computd By: Date:2 CAROLINA POWER & LlGIIT COMPANY Calculation ID WV.Robcn Smnith 08 /28/ 02 RNP.VINST-10411 Checked By: Date: CALCULATONSHEEIr Pg. 73 of 93 lRev: 3 Boh Hunter 08/ 28 / 02 .

Project No.: N/A Fite:

Projcct

Title:

N/A Calculation Title-. Feedwater Flow Loop Uncertainty and Scaling Calculation X0 DISC! TS..ION OF RES1 TIMS Feedwnter Flow > . tcam Flow Alnrm Setpnint F(-47R(-. 47PRD, 488C 4RRn 49XC' 49R)

The function of this setpoint is to provide an alarm on feedwater flow greater than steam flow.

Per Reference 4.6.1, the following equation is used to calculate the maximum value for this setpoint:

SP1 riti <5Limit - TLU where, SPlimit = calculatedsetpointlimit Limit= setpoint limit TLU = Total Loop Uncertainty Per Section 7.3 of this calculation, the negative Total Loop Uncertainty associated with this setpoint is -8.75% Flow Span @ 42.88% Flow Span (maximum). Per Design Input 5.16, the alarm setpoint limit is 34.3% Flow Span. Therefore, SPiimit < 34.3% Flow Span -8.75% Flow Span SP imit 1 < 25.55% Flow Span Per References 4.5.1 through 4.5.6, the alarm setpoint is currently set to 16% Flow Span increasing (0.64 Vdc /4 Vdc

• 100). The Margin (M) associated with this setpoint is computed as follows:

M = SPlinit - Calibrated Setpoint M = 25.55% Flow Span - 16% Flow Span M = 9.55% Flow Span Therefore, the current alarm setpoint is conservative.

Computed By Date:C CAROCNA POWER & U T COMPANY RaIcula1ion ID:

W. Rotxrt Sniith 081/281 02 CAOIAPWR&LGTCMAYRNP-t/INST-1D41 Checked By: Date: CALCULATION SHEET Pg. 74 Or 93 Rev: 3 Bob FHunter 08 e2lt1 2 l Project No.- N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation

- Flaw . Ffeflwnfer Flow Alarm .S'tpnint PF(47RA 478R1 4RXA, 4RtR, 49RA 49RR (switch 9)

The function of this setpoint is to provide an alarm on steam flow greater than feedwater flow before a Reactor trip signal is generated on a steam flow I feedwater flow mismatch. Per Reference 4.6.1, the following equation is used to calculate the maximum value for this setpoint:

SPtimmt < Limit - TLU where, SPcrit = calculated setpoint limit Limit= setpoint limit TLU = Total Loop Uncertainty The function of this alarm is to warn the operator before a reactor trip is generated on a steam flow I feedwater flow mismatch, and this alarm is provided by the same dual bistable module that provides the reactor trip signal. Any uncertainty at the input of thebistable module will offset both the reactor trip and alarm setpoints in the same direction. Therefore, the only uncertainties which need to be considered for this setpoint are those associated with the bistable which provides the reactor trip and the bistable which provides the alarm. Therefore, the total uncertainty associated with this setpoint is the square root sum of squares of two bistable uncertainty terms. Per Section 6.9.7, the uncertainty associated with one bistable is + 1.6 1%

Span. Therefore, the total uncertainty associated with this setpoint is -2.28% Span (negative portion of the SRSS of two +/- 1.61% Span terms). PerDesign Input 5.16, the alarm setpoint limit is 16% Flow Span. Therefore, SPcntit < 16% Flow Span -2.28% Flow Span SPtimit < 13.72% Flow Span

Computed By: Date: CAROLINA OWER & LK;HT COMPANY Dckulation ID:

W. RobertSmith 081/281/02 RNP-t'INST-1041 Checked By: Date: CALCULATION SHEET Pg. 75 of 93 Rev 3 Bob Hunter 08/28X 02 l Pject No.: NIA Filc:

project

Title:

NIA Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Per References 4.5.1 through 4.5.6, the alarm setpoint is currently set to 12.5% Flow Span increasing (0.50 Vdc /4 Vdc

• 100). The Margin (M) associated with this setpoint is computed as follows:

M = SPimit - Calibrated Sctpoint M = 13.72% Flow Span - 12.50% Flow Span M = 1.22% Flow Span Therefore, the current alarm setpoint is conservative.

Sten -Rnw / FEct-dwVter low MkMnmtch Setpoint FC-47RA 47RR 488A 48RR 49RA 4QRR (sVwtch 1)

The function of this setpoint is to provide a Reactor trip signal on a steam flow / feedwater flow mismatch. Per Reference 4.6.1, the following equation is used to calculate the maximum value for this setpoint:

SPfrit

• AL- TLU where, SPiit = calculated setpoint limit AL = Analytical Limit TLU = Total Loop Uncertainty Per Section 7.3 of this calculation, the negative Total Loop Uncertainty associated with this setpoint is -8.75% Flow Span @ 42.88% Flow Span (maximum uncertainties for both steam and feedwater flow). Per Design Input 5.16, the setpoint Analytical Limit is34.3% Flow Span.

Therefore, SPiimit < 34.3% Flow Span -8.75% Flow Span SPlimit

• 25.55% Flow Span

Computed By: Duile: CalcultLion ID:

W. RobrtxSmith 08 / 28 / 02 CAROUNA POWER & LIGHT COM1PANY RNP.VINST-i041 I Checked By: Date: CALCULATION SHEET Pg. 76 or 93 Rev: 3 llbh Hunter 08/28/ 02 F'rocct No.: N/A File:

Project

Title:

N/A Calculuion

Title:

Feedwater Flow LAop Uncertainty and Scaling Calculation Per References 4.5.1 through 4.5.6, the setpoint is currently set to 16% Flow Span increasing (0.64 Vdc /4 Vdc

• 100). The Margin (M) associated with this setpoint is computed as follows:

M = SPrimit - Calibrated Setpoint M = 25.55% Flow Span - 16% Flow Span M = 9.55% Flow Span Per Section 7.5.4 of this calculation, the Group As Found Tolerance (GAFF) is +/- 1.53% Flow Span. Per Reference 4.6.1, the Allowable Value (AV) associated with this setpoint is computed as follows: I AV < SP + GAFT, where SP = calibrated setpoint AV < 16% Flow Span + 1.53% Flow Span AV < 17.53% Flow Span The Loop As Found Tolerance (LAFr) of 1.70% Span is computed in Section 7.4.4. Per Reference 4.6.1, the Channel Operability Limit (COL) is computed with the following equation:

COL = SP + LAFS, where SP = calibrated setpoint COL = 16% Flow Span + 1.70% Flow Span COL = 17.70% Flow Span

Computcd By: Date: CAOIAPWR&LGT0MAYCalculation 1I):

W. Robert Smith 08 / 28 / 02 CAROLINA POWER & LI(hT OMPANY RNI I/"NST 1041 Checked By: Date: CALCULATION SHEET Pg. 77 of 93 Bob Huinter 08128 /02 Projeo No.: N/A File:

Project ritle: N/A Calulation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation

'Analytical Limit (34.3% Flow Span)

I Additional Margin (9.55% Flow Span)

Total Loop Uncertainty (8.75% Flow Span)

- Channel Operability Limit (17.70% Flow Span Allowable Value (* 17.53% Flow Span)

Group As Found Tolerance (1.53% Flow Span) Loop As Found Tolerance (1.70% Flow Span)

Setpoint (1 6% Flow Span increasing)

Operating Margin (16% Flow Span)

Normal (0% Flow Span)

Figure I Steam Flow I Feed water Flow Mismatch Reactor Trip Setpoint Diagram Per Reference 4.7.2, the current Technical Specification Allowable Value is < 17.65% Flow Span and the current Technical Specification setpoint is 16% Flow Span increasing. The current Technical Specification setpoint is conservative. The current Allowable Value is non-conservative and should be revised to a value within the limit computed in this calculation. This action has been initiated and is being tracked per LDCR #01-0007.

Computed By: Dite: CAON OE LG2OPN alculation ID:

W. Roben Smith 08/28/ 02 POWER & LIHT COMPANY R NP-aINSk1-04 I ICAROLINA Checked By: Date: CALCILATIONSHEET Pg. 7 of 93 Rev 3 Bob Hunter 08/28/ 02 Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Fcedwater Flow Loop Uncertainty and Scaling Calculation X.1 IMPACT ON IMPROVED TECHNICAl. SPECIFICATIONS Based on the results of this calculation, the Technical Specification Allowable Value for the Steam Flow / Feedwater Flow Mismatch Reactor Trip setpoint should be revised to a value within the limit computed in this calculation. This action has been initiated and is being tracked per LDCR #01-0007.

X.2 IMPACT ON ITFSAR This calculation results in no changes to the UFSAR.

8.3 iMPACT ONDFIRSIGN BASIS DOCIlMENTS This calculation impacts no design basis documents.

R4 IMPACT ON OTHER CAL.CIllATTONS

1. RNP-IINST-1120, Uncertainty of Manual Feed Flow Calorimetric Calculation Per OST-0 12

2. RNP-LJINST-1125, ERFIS Feed Flow Automatic Calorimetric Uncertainty Calculation

3. RNP-I/INST-1 121, Uncertainty of ERFIS Feed Flow Calorimetric Calculation

4. RNP-IAINST-1040, Steam Flow Loop Uncertainty and Scaling Calculation

Comnputed By: Date: CAROLINA POWER & LIGHT COMPANY Calculation ID):

W. Robert Smith OR /28/ 02 RNP-l/INST-1t41 Checked By: Date: CALCULATION SHEET pg Of 79 BobIlunter 08/28/ 02 Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Fecdwater Flow Loop Uncertainty and Scaling Calculat ion 9-1 IMPACT ON PLANT PROCENDRES This calculation impacts the following procedures:

1. LP-35 1, Steam Generator #I Level (F.W. Flow) Channel 476

2. LP-352, Steam Generator #2 Level (F.W. Flow) Channel 486

3. LP-353, Steam Gencrator #3 Level (F.W. Flow) Channel 496

4. LP-354, Steam Generator #I Level (F.W. Flow) Channel 477

5. LP-355, Steam Generator #2 Level (F.W. Flow) Channel 487

6. LP-356, Steam Generator #3 Level (F.W. Flow) Channel 497

7. MMM-006, Appendix B-4 Calibration Data Sheets

8. MST-0 14, Steam Generator Pressure Protection Channel Testing

9. PIC-609, Hagan Analog Computer

10. PIC-844, Yokogawa Recorders

Computed By: Date; C'alculation ID:

W. Robert Smith 08128/ 02 CAROLINA POWER & LIGHT COMPANY RNP-lIINST.41 I ChMcked By: Date: CALCULATION SHEET r9.8o of 93 Rcv: 3 Bob Hlunter n6t 29 02 Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 940 SA I ING ( A 1.C IJI ATIONS 9-1 Fl .OW TRANSMITTFR (Fr-47h.477, 486 4X7. 496 AND 496fi Per Reference 4.7.8, the following equation is used to compute the differential pressure across a nozzle venturi flow element:

m = 3 58 9 {C Yd2F-- AP where, mass flow rate (Ibm / hr)

C = discharge coefficient (unit less)

Y = expansion factor (I for water) d = bore diameter (in)

Fa = thermal expansion factor (unit less)

D = pipe diameter (in)

P = beta ratio (unit less ratio d / D)

P = fluid density (Ibm / ft3)

AP= differential pressure (inwc)

Computed By: Date0 CAROLINA POWER & LIGHT COMPANY Calculation ID:

W. Robctt Smith 081/281 02 CRLA W &IGT1AYRNP-V'INST-1041 Checked By- Date:- CALCULATION SHEET Pg 81 of 93 lReV: 3 Bot, Huntcr 08/28 !02 Project No.: N/A File:

Project

Title:

N/A Calcubtion

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation The differential pressure associated with a given mass flow rate is obtained by solving the flow equation given above for AP. Therefore, 358.93(CXYXd 2 XAF )

AP = --

p All parameters are obtained from Reference 4.7.7. The differential pressure(s) developed across each flow element at calibration conditions are as follows:

Flow Flement Pf0255-1 Tnp 9t-t I m = 4x 10 Ibm / hr D = 13.9in d = 9.029 in

= d/D C = 0.9893 Fa = 1.007 Y =I p 52.042675 (855 psia, @ 441.5°F)

P= 297.39 inwc Flnw Flement 80259-1 Tap .et 2 m = 4x 10 Ibm I hr D = 13.9 in d = 9.029 in f = d/D C = 0.9914 Fa = 1.007 Y = I p = 52.042675 (855 psia, @ 441.5°F)

AP = 296.13 inwc

Computed By: Date: CRUAPWR&LGTOM NYCalculation ID:

W. Robet Smith 081281 02 CAROUNA POWER & LIGFITCOMPANY RNP-VINST.W104 Checked By: Date: CALCULATION SHEI Pg. 82 of 93 lRev:

Hob Hunter 08/28/ 02 Project No.: N/A fie:

Project

Title:

N/A Calculation Trtl- Feedwater Flow Loop Uncertainty and Scaling Calculation Flow Flement 90?25-2 Tap Set I m = 4x106 Ibm / hr D = 13.935 in d = 9.039 in 13 = dID C = 0.9861 Fa = 1.007 Y =1 p = 52.042675 (855 psia, @ 441.5 0 F)

AP= 298.36 inwc Flow Flemfmnt Rfl255- Tnp .Set 9 m = 4x106 Ibm / hr D = 13.935 in d = 9.039 in 13 = d/D C = 0.9862 Fa = 1.007 Y =1 p = 52.042675 (855 psia, @ 441.50F)

AP = 298.30 inwc

Computed By: Chte: CAROLIA POWER & LIG1TCOMPANY Calcultion ID.

W. Rcbcn Smihb 08 / 28/ 02 RNP-I/INST-1041 Checked By: Date: CALCULATION SHEET Pg.83 of 93 Rev: 3 BIo tlunler 08/28/ 02 1 Project No.: N/A I File:

P'roject Title N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Flow Flement Rfl955 3 Tar Cet I m = 4x106 Ibm / hr D = 13.93 in d = 9.026 in 13 = d/D C = 0.9919 Fa = 1.007 Y = 1 p = 52.042675 (855 psia, @ 441.5°F)

AP = 296.86 inwc Flow Flerment 8075 Tanp Set 2 m = 4x10 6 Ibm / hr D = 13.93 in d = 9.026 in 1 = d/D C = 0.9910 Fa = 1.007 Y =1 p = 52.042675 (855 psia, @ 441.5°F)

AP = 297.40 inwc The average diffcrential pressure for all flow elements I tap sets is 297.41 inwc. For convenience, the transmitters are calibrated from 0 to 300 inwc.

Per Reference 4.7.4, FT-476, 486, 496 are Rosemount model I 151DP5 differential pressure transmitters. Per Reference 4.7.4, FT477 and 487 are Rosemount model I153DA5 differential pressure transmitters. Per Reference 4.7.4, FT-497 is a Rosemount model 1153HA5 differential pressure transmitter. Per Reference 4.4.3, each range code 5 transmitter may be calibrated to a span within the range of 0- 125 to 0-750 inwc.

Computed Ily- CAODNaOWR& IHeOIPN Cakutiiton ID:

W. Robert Smith 08128 / 02 CAROLIN L_ CO vNR _ LINST1I41 Checked By: Date: CALCULATION SHEET Pg. 84 of 93 Rev: 3 Bob Hunter 08/28/ 02 Project No.: N/A FlIc Project

Title:

N/A Calculation Title; Feedwater Flow Loop Uncertainty and Scaling Calculation Fr-476 4R6 sqnrl 496 Per Refcrcnce 4.4.3, a static pressure span effect of 0.81% of input per 1000 psi is specified for a Rosemount 115 IDP5 transmitter. The static pressure correction is performed for a nominal feedwater pressure of 840 psig. This effect is calibrated out by adjusting the calibrated range of the transmitter as follows:

0.81%of input 840p = 0.680% of input 1I000 psi)

For 100 percent span, 0.680% (300 inwc / 100%) = 2.04 inwc 2.04 inwc (100% Span / 300 inwc) = 0.68% Span 0.68% Span (16 mA / 100% Span) = 0.109 mA 20.000 mA + 0.109 mA = 20.109 mA 20.109 mA (250 Q) = 5.027 Vdc Therefore, the transmitters are calibrated from 1.000 Vdc (0 inwc) to 5.027 Vdc (300 inwc).

The following equation is used to compute the required transmitter output for a given differential pressure input:

E = (4.027 Vdc AP inwc + 1.000 Vdc 300inwc)

Computed By: Date: CAROLINA POWER & LIGHT COMPANY Calculation ID:

W. Rotert Smith 08 128 / 02 COLN ~'R&IGTCOPAYRNP-IIINST-1041I Checked By: Date: CALCUILATION SHEET B5 Pg. of 93 Rev: 3 lob Huntcr OR828 / 0I Project No.: N/A IIAk:

ProjectlTi l N/A Calculation Titk: Feedwater Flow Loop Uncertainty and Scaling Calculation Per Section 6.8.9 of this calculation, the As Found Tolerance (AFT) of the transmitter is +

1.20% Span. Per Section 6.8.10 of this calculation, the As Left Tolerance (ALT) of the transmitter is +/- 0.50% Span. The AFT and ALT are converted to voltage units with the following equations:

AFI(Vdc) = +/- 4 Vdc 1SVdca0 Spa 0.048 Vdc L0 100)

ALT(% Span) . 0.50% Span ALT(Vdc) = +/- 4 Vdc 100 =+4 Vdc 0 = +/-0.020 Vdc The calibration table for the transmitter is as follows:

Required Input Desired Output As Found Tolerance As Left Tolerance (inwc) (Vdc) (Vdc) (Vdc) 0 1.000 0.952 to 1.048 0.980 to 1.020 75 2.007 1.959 to 2.055 1.987 to 2.027 150 3.014 2.966 to 3.062 2.994 to 3.034 225 4.020 3.972 to 4.068 4.000 to 4.040 300 5.027 4.979 to 5.075 5.007 to 5.047 Transmitter Calibration Table (FT-476,486, & 496)

Computed By: Date: AOIAPWR IH OPN C2tcula on ID:

W. Robert Smith 08/281 02 CAROLINA POWER & LIGHT COMPANY RNI'-IIINST.1041 Lhecked By: DIae: CALCULATION SHEEI lRcv:

Pg.8G of 93 3 HLob Hunter 08128/ 02 1 Project No.: N/A Fale:

ProjectTitl: NIA Cacuation Tte : Feedwater Flow Loop Uncertainty and Scaling Calculation FT-477 4R7 alnd 497 Per Reference 4.4.3, a static pressure span effect of 1.00% of input per 1000 psi is specified for the Rosemount 1153DA5 and 1153HA5 transmitter. The static pressure correction is performed for a nominal feedwater pressure of 840 psig. This effect is calibrated out by adjusting the calibrated range of the transmitter as follows:

1.00% of inputd 84 0 psi J= 0.840% of input For 100 percent span, 0.840% (300 inwc / 100%) = 2.52 inwc 2.52 inwc (100% Span / 300 inwc) = 0.84% Spar.

0.84% Span (16 mA / 100% Span) = 0.134 mA 20.000 mA + 0.134 mA = 20.134 mA 20.134 mA (250 LŽ) = 5.034 Vdc Therefore, the transmitters are calibrated from 1.000 Vdc (0 inwc) to 5.034 Vdc (300 inwc).

The following equation is used to compute the required transmitter output for a given differential pressure input:

( 4.034 Vdc AP inwc + 1.000 Vdc t 300inwc )

Computled By: D2at: CAROLINA POWEa & LIGHT COMPANY Clculation 11);

W. Rotert Smith 081/281/ 02 CRLN W &lr OMAYRNP.VINST. 1041 Checked By: Date: CALCULATION SHEEr Pg. 87 of 93 Rcv 3 Bob tfunte 08/28 / 02 l Project No.: N/A File:

Project itle. N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation Per Section 6.6.9 and 6.7.9 of this calculation, the As Found Tolerance (AFT) of the transmitter is + 0.87% Span. Per Section 6.6.10 and 6.7.10 of this calculation, the As Left Tolerance (ALT) of the transmitter is +/- 0.50% Span. The AFT and ALT are converted to voltage units with the following equations:

AFT'(Vdc)=+/-4 Vdc AFT(% Span) 4V 0.87% Span 0.035 Vdc 100 100 )

ALT(% Span) 0.50% Span ALT(Vdc) = +/- 4 Vdc 100 =+4 Vdc (00 = + 0.020 Vdc f anmttsans0 100 The calibration table for the transmitter is as follows:

Required Input Desired Output As Found Tolerance As Left Tolerance (inwc) (Vdc) (Vdc) (Vdc) 0 1.000 0.965 to 1.035 0.980 to 1.020 75 2.009 1.974 to 2.044 1.989 to 2.029 150 3.017 2.982 to 3.052 2.997 to 3.037 225 4.026 3.991 to 4.061 4.006 to 4.046 300 5.034 4.999 to 5.069 5.014 to 5.054 Transmitter Calibration Table (FT-477, 487, & 497)

Computed By: Date: CAROLLNA POWER & LIGH'fCOMPANY Calculation ID:

W.Robert Smith 08/28/ 02 RNP-I/INST-1041

('hecked By: Date: CALCULATON SHEET Pg. 88 of 93 Rcva3 Bob Hunter X/28/ 02 1 Pject No.: N/A Me Project 'fite: N/A Calculation Tilte Feedwater Flow Loop Uncertainty and Scaling Calculation 9.2 V.ROT.ATOR MODT IM.E (FM-476A. 476R, 477A, 477H. 4R6A. 486R, 4R7A, 487R, 496A. 496i1, 497A, AND 497H)

The isolator transfer function is as follows:

Eo =E Per Section 6.10.8 of this calculation, the As Found Tolerance (AFT) of the isolator is +/-

1.20% Span. Per Section 6.10.9 of this calculation, the As Left Tolerance (ALT) of the isolator is +/- 0.50% Span. The AST and ALT are converted to voltage units with the following equations:

(AFT(% Span) = 4 1.20% Span V Vdc 100 =+ 4 Vdc 0.048 Vdc ALT(% Span) 0.50% Span = 0 ALT(Vdc) = +4 Vdc= +4 Vdc( 100 = +/-0.020 Vdc The calibration table for the isolator is as follows:

Required Input Desired Output As Found Tolerance As Left Tolerance (Vdc) (Vdc) (Vdc) (Vdc) 1.000 1.000 0.952 to 1.048 0.980 to 1.020 2.000 2.000 1.952 to 2.048 1.980 to 2.020 3.000 3.000 2.952 to 3.048 2.980 to 3.020 4.000 4.000 3.952 to 4.048 3.980 to 4.020 5.000 5.000 4.952 to 5.048 4.980 to 5.020 Isolator Calibration Table

Computed By. Date; AOIAPWR IH OPN C2lculation ID:

W. Robert Smith 08/28/ 02 C_ m & COMPANY RNP.YINST-1041 Checked By Date: CALCULATION SHEET Pg89 of 93 l Recv:

3 Bob Hunter 08/ 29/ 02 Project No.: N/A I Ic:

Project

Title:

N/A Calculation Tuile: Feedwater Flow Loop Uncertainty and Scaling Calculation 9-' COMPARATOR MODULFE (FC-47RA, 47Rr, 4SRA. 48RR, 498A, AND 498B)

Each comparator provides a Feedwater Flow / Steam Flow mismatch Reactor trip signal (switch 1), and a Feedwater Flow / Steam Flow mismatch alarm (switch 2). The following equation is used to compute the voltage representation of the comparator setpoints:

Setpoint(Vdc) = 4 Vd Setpoint(%)

V 4100%

Per Reference 4.7.2, the Feedwater Flow I Steam Flow mismatch Reactor trip setpoint is 6.4x 105 Ibm / hr which equates to 16% Flow Span or 0.64 Vdc. The alarm selpoint is set to 12.5% Flow Span which equates to 0.50 Vdc.

Per Section 6.9.8 of this calculation, the As Found Tolerance (AFT') of the comparator is +

1.16% Span. Per Section 6.9.9 of this calculation, the As Left Tolerance (ALT) of the comparator is +/- 0.50% Span. The AFT and ALT are converted to voltage units with the following equations:

AFT(Vdc) = +/-4 Span) 1. 16% Span 0.046 Vdc Vdc(dcA  % +) = 4 d100c 100 )

ALT(Vdc) = +/- 4 Vdc ( p) = + 4 Vdc 050 0S p = +/- 0.020 Vdc The following table provides calibration values for the comparators:

Setpoint Setpoint As Found Tolerance As Left Tolerance

(%) Vdel (Vdc) (Vdc) 16 0.640 0.594 to 0.686 0.620 to 0.660 12.5 0.500 0.454 to 0.546 0.480 to 0.520 Comparator Calibration Table

Computed By: 'Date: AOIAPWR& IH O IN Calculation 11):

W. Romt Smth  : 08 /281 02 CAROLINA POWER& UCHTCOMI'ANYRNP-VINST-I(tI Checked By Date: CALCULATIONSHEET Pr. 90 of 93 lKcv 3 noh Hunter 08/28/ 02 Projcct No: N/A File:

Project

Title:

N/A Calculation

Title:

Feedwater Flow Loop Uncertainty and Scaling Calculation 9.4 COMPARATOR MOM JL.F (FC-478C 47RD 488SC 49R1) 49RC(: AND 49RD)

Each comparator provides an alarm when Feedwater Flow is greater than Steam Flow. The following equation is used to compute the voltage representation of the comparator setpoints:

Setpoint(Vdc) = 4 Vdf Setpoint(%)

100%)

Per Reference 4.7.2, the alarm is set to 6.4x I Ibm / hr which equates to 16% Flow Span or 0.64 Vdc.

Per Section 6.9.8 of this calculation, the As Found Tolerance (AFT) of the comparator is +

1.16% Span. Per Section 6.9.9 of this calculation, the As Left Tolerance (ALT) of the comparator is +/- 0.50% Span. The AFT and ALT are converted to voltage units with the following equations:

AFT(Vdc) = +/-4 Vdc AF( S = + 4 Vdc 1.16%Span + 0.046 Vdc 100 to (ALT(%Span) (0.50% Span' ALT(Vdc) = +/- 4 Vdc 10 ) = +4 Vdc 1090 = + 0.020 Vdc The following table provides calibration values for the comparators:

Setpoint Setpoint As Found Tolerance As Left Tolerance

_ (%) (Vdc) (Vdc) (Vdc) 16 0.640 0.594 to 0.686 0.620 to 0.660 Comparator Calibration Table

Computed By: Date: CAROLINA POWER & LIGHT COMPANY Calculation ID:

W. Robert Smith 081281 02 RNP-VINS'r 1041 Checked By: Date: CALCULATION SHEET 18 91 Of 93 Re 3 Bob Huntcr 08 121/ 02 Project No.: NIA Rie:

Project

Title:

NlA Calculation Tatk: Feedwater Flow Loop Uncertainty and Scaling Calculation 9 S Q(IJARF ROOT MODULTF, (h.M-476 477 4R6- 487 49f6 AND 497, Each square root module has the following transfer function:

Eo = 2 Vdc4 i + 1.000 Vdc Per Section 6.11.8 of this calculation, the As Found Tolerance (AFT) of the square root module is + 0.67% Span. Per Section 6.11.9 of this calculation, the As Left Tolerance (ALT) of the square root module is +/- 0.50% Span. The AFI and ALT are converted to voltage units with the following equations:

(AFr(% Span) (0.67% Span AFT(Vdc)=4Vd 100 = + 4 Vdct 1 = +0.027 Vdc ALT(% Span) (0.50% Span ALT(Vdc) = +/- 4 Vdc( 100 =+4 Vdc 100 +0.020 Vdc The calibration table for the square root module is as follows:

Required Input Desired Output As Found Tolerance As Left Tolerance (Vdc) (Vdc) (Vdc) (Vdc) 1.000 1.000 0.973 to 1.027 0.980 to 1.020 1.040 1.400 1.373 to 1.427 1.380 to 1.420 1.250 2.000 1.973 to 2.027 1.980 to 2.020 2.000 3.000 2.973 to 3.027 2.980 to 3.020 3.250 4.000 3.973 to 4.027 3.980 to 4.020 5.000 5.000 4.973 to 5.027 4.980 to 5.020 Square Root Module Calibration Table

Computed By; Date: CAROLINA POWER & LIGHT COMPANY (alculation ID:

W. RobertSmith 08128/ 02 RNP-I/INT.Ir-041I Checked By: Date: CALCULATION SHEET .92 of 93 l Rev: 3 Bob Hunter 0R / 281 02 .

Project No.: N/A File:

Project

Title:

N/A Calculation

Title:

Fcedwatcr Flow Loop Uncertainty and Scaling Calculation 9.6 INDICATOR (Ff-476, 477, 4R6, 487, 496, AND 497!

The indicators are scaled to provide an output of 0 to 4x 106 Ibm I hr for a 1 to 5 Vdc input.

Therefore, the transfer function for the indicator is as follows:

1 = 4 x 10 bm / hr (E-1.000 Vdc)

Per Section 6.12.9 of this calculation, the As Found Tolerance (AFT) of the indicator is +

2.44% Span. Per Section 6.12.10 of this calculation, the As Left Tolerance (ALT) of the indicator is +/- 2.00% Span. The AFT and ALT are converted to pressure units with the following equations:

( AFT(% Span) +/- ( 2.44% Span A8 AFT(Vdc) = +4 Vdc 1=+/-4Vdc 1 0 J= +/-0.098 Vdc (ALT(%Span)

ALT(Vdc) = +/- 4 Vdc 100 ) = + 4 Vdc (2.00%

200%0S Span '

= + 0.080 Vdc The following table provides calibration values for the indicators:

Desired Input Required Output As Found Tolerance As Left Tolerance (Vdc) (106 Ibm / r) (Vdc) (Vdc) 1.000 0 0.902 to 1.098 0.920 to 1.080 1.400 0.4 1.302 to 1.498 1.320 to 1.480 2.000 1 1.902 to 2.098 1.920 to 2.080 3.000 2 2.902 to 3.098 2.920 to 3.080 4.000 3 3.902 to 4.098 3.920 to 4.080 5.000 4 4.902 to 5.098 4.920 to 5.080 Indicator Calibration Table

Computed By: Datc: CAROLINA POWER & LIGHT COMPANY Calculation D):

W. Robtvt Smith 08 128 / 02 RNP-V/IN.T-1041 Checked By: Date: CALCULATION SHEET Pg.93 of 93 Rev: 3 Bob Huntcr 08 / 28 1 02 _

Project No.: NIA Fik:

Project Talc: N/A Calculation

Title:

Fecdwater Flow Loop Uncertainty and Scaling Calculation 9-7 RFCORDER (FR.47R, 48g. ANY) 498X The recorders are scaled to provide an output of 0 to 4x0I ibm / hr for a 1 to 5 Vdc input.

Therefore, the transfer function for the recorder is as follows:

Ro = 4 x 10' lbm/ hr (E - 1 0 0 0 Vdc)

Ro 4 Vdc )

Per Section 6.13.9 of this calculation, the As Found Tolerance (AFT) of the recorder is +/-

0.59% Span. Per Section 6.13.10 of this calculation, the As Left Tolerance (ALT) of the recorder is +/- 0.50% Span. The AFT and ALT are converted to pressure units with the following equations:

AFf(Vdc) = +/- 4 (cAFT (% Span) 4Vd( 0.59% Span = 0.024 Vdc ALT(Vdc) = +/- 4 Vdc" 10S = +/-4 Vdc 0.50% Span +/- 0.020 Vdc AL(dc 4Vc ALT(% 100Span) = d 0.100 0 ) .2 d The following table provides calibration values for the recorders:

Desired Input Required Output As Found Tolerance As Left Tolerance (Vdc) (106 Ibm / hr) (Vdc) (Vdc) 1.000 0.00 0.976 to 1.024 0.980 to 1.020 1.400 0.40 1.376 to 1.424 1.380 to 1.420 2.000 1.00 1.976 to 2.024 1.980 to 2.020 3.000 2.00 2.976 to 3.024 2.980 to 3.020 4.000 3.00 3.976 to 4.024 3.980 to 4.020 5.000 4.00 4.976 to 5.024 4.980 to 5.020 Recorder Calibration Table

ATTACHMENT A CALCULATION MATRIX REFERENCE TABLE Calculation No. RNP-I/INST-1041 Page 1of 2 Revision No. 3 TYPE OF DOCUMENT DOCUMENT NUMBER DOCUMENT TITLE Calculations RNP-E-1.005 12OVac Instrument Bus Voltage Calculations RNP-IIINST-1040 Main Steam Flow Accuracy and Scaling Calculation Calculations RNP-M/MECH- 1651 Containment Analysis Inputs Calculations RNP-IIINST-1 120 Uncertainty Of Manual Feed Flow Calorimetric Calculation Per OST- 12 Calculations RNP-LIINST-1125 ERFIS Feed Flow Automatic Calorimetric Uncertainty Calculation Calculations RNP-M/MECH-1616 Calculation For The Continuous Calorimetric Calculation RNP-IIINST-1 121 Uncertainty of ERFIS Feed Flow Calorimetric Calculation Calculations RNP-M/MECH-1741 32-5015594-00 Appendix K Power Uprate Operating Conditions Drawing 5379-03494 Hagan Wiring Diagram Drawing 5379-03498 Hagan Wiring Diagram Drawing 5379-03499 Haean Wiring Diagram Drawing HBR2-11135 RTGB Panel C - Annunciator Section. Sheet 2 Drawing HBR2-1 1135 RTGB Panel C - Vertical Section, Sheet 3 Other Documents 727-702-25 Feedwater System Instrumentation Flow Westinghouse Manual Number W-1003 Other Documents 728-012-10 Vendor Manual Rosemount Other Documents 728-399-88 Auxiliary Indicating Meters Bulletin Model 2500 2520 Other Documents 728-589-13 Vendor Manual Hagan Other Documents MMM-006 Calibration Progam Other Documents R82-226/01 DBD For Control Room Habitability Modifications 993

& 994 Other Documents RNP-F/NFSA-0045 RNP Cycle 21 Plant Parameters Document Other Documents Technical Specifications Section 3.3 Other Documents UFSAR Section 15. Safety Analysis Other Documents WNEP-8372 Model 44F Steam Generator Thermal and Hydraulic Design Data Report Procedures EGR-NGGC-0153 Engineering Instrument Setnoints Procedures LP-351 Steam Generator # I Level (Feedwater Flow) Channel 476 Procedures LP-352 Steam Generator #2 Level (Feedwater Flow) Channel 486 Procedures LP-353 Steam Generator #3 Level (Feedwater Flow) Channel 496 Procedures LP-354 Steam Generator #I Level (Feedwater Flow) Channel 477

ATTACHMENT A CALCULATION MATRIX REFERENCE TABLE Calculation No. RNP-I/INST-1041 Page 2 of 2 Revision No. 3 TYPE OF DOCUMENT DOCUMENT NUMBER DOCUMENT TITLE Procedures LP-355 Steam Generator #2 Level (Feedwater Flow) Channel 487 Procedures LP-356 Steam Generator #3 Level (Feedwater Flow) Channel 497 Procedures TMM-026 List Of Regulatorv Guide 1.97 Components Procedures MMM-006 Calibration Data Sheets Appendix B-4 Procedures PIC-844 Yokoeawa Recorders Other Documents DBD1R87038/SDO6 DBD Reactor Protection and Safeguards System Drawings 5379-03485 Hagan Wiring Diagram Drawings 5379-03486 Hagan Wiring Diagrams Drawin-s 5379-03487 Hapan Wiring Diagrams

ATTACHMENT B COMPARATOR DRIFT Calculation No. RNP-I/INST-1041 Page I of 1 Revision No. 3 cAL=o am T nirm s-UANA N= M113 S C STC-14 l LC-"§4 l PC-145A ZC-143 Cal. Ot. Davi. Cal. Vt.

.00 Zlevi&. Cal. ft. fVS al t- eis.p

.001 9/25/55 .000 4/24Js

.001 .008 0/04/30 9/24/35 2q/NlU 2i012jl

.001 .002 .00 .001 5/15/87 9/23/37 4.30/ 2/2/57

.003 .002 .009 .003 6/13/13 9/20/36 12/29/U 2/5/Ia

.003 .004 11/20/89 .001 .009 7/0n 2/26/90 9_/.

- - - - - - - -O 2.C.106. LC'3041 W-108A I.C-lO*5 Ca1.0c. Dc &. bivia

. DvisDev;s. . Devi v. "vii.

e .is.W . Devi*.

4/14/84

.000 .000 .001 .004 .A .000 .00 .000 4/01/35

.001 .000 .001 .001 .001 .000 3VA VA 4/183/6

.001 .001 .001 .000 .001 .000 3/A ]VA 3/03/37

.001 .003 .001 .001 .000 .001 V/A I/A

.000 .001 .002 .000 .00 .001 V/A X/A

.000 .000 _ _ _ .003 .003 4/04/90 q Iaatvwest aLmta X/A Not Avuilble Maximsm deviatios acted between the s-f sd sad as-left values recorded an the availabl eslibration data sheets ws .00 vdc.

This value Is approx"ta*ly *<ul to 0.2SZ.

ATTACHMENT C INTERNATIONAL INSTRUMENTS INDICATOR DATA Calculation No. RNP-1IiNST-1n41 Page 1 of I Revision No. 3 aw_ _ £ 3eww__M

-- 21a Kl 6.s.

_.c--, Lu f'0 Sw _S. Cr Yd. II 401.5 731 TWPL 710OA0234 o60 June 24, l19Y CAROLINA POSER & LIGHT P.o. son 1=11 Raleigh, NC 27402-15511 Attn: Robert ?ann OHS 6th Floor

Dear Robert,

Per our conversattan the drtit and T.C. 4or International Instruments *od-l 2520 are IX of span per year and .1X of span per degree C respectively. The accwacy following a seismic event are per till Standards for shock and vibration and are quoted as SX of span. Understand that the assumption Is made that the se*soic event reflects both shock and vibration.

Should you)'ave any further information, please do not hesi-tat')to conttag e. ,

Vice President cc: Keith Mcdowall

ATTACHMENT D ROSEMOUNT DRIFT Calculation No. RNP-I/INST-1 041 Page I nf 1 Revision No. -

I - "MTIC *. ,

Ida "Ogm 513" a._ 410012 Als043 226'"

Sept-mber 20, 1990 Entergy Operations Grand Culf Ruclear Plant ESC Buildinq P.O. Box 429 Port Gibson, MS 39150 Attention: Bob McCain

Dear Mr. McCain:

Rosaeount has developed a naw drift specification for the Model 1152. 1153 and 1154 pressure transmitters. The specification is +.2% URL over a 30 month period.

in addition, all normal performanca specs (i.e. accuracy) can be considered 3 *igua specs. The nuclear specs such as LOCHZLB, radiation, and seismic were developed based on type testing. Due to the small sample size of test units, it is difficult to apply statistical methodology to thes- type of specs.

If you have any further questions please feel free to call me at (612) 828-3100.

// on Marketing Enqinaer PL: lbc Enc: PDS 2302, 2366, 2514, 2235 Report DW600063 c: Les Callender 12

ATTACHMENT 2 Sheet 1 of 1 Record of Lead Review Design: Calculation RNP-VINST-1041 Revision: 3 The signature below of the Lead Reviewer records that:

- the review indicated below has been performed by the Lead Reviewer;

- appropriate reviews were performed and errors/deficiencies (for all reviews performed) have been resolved and these records are included in the design package;

- the review was performed in accordance with EGR-NGGC-0003.

[] Design Verification Review a Engineering Review 3 Owner's Review a Design Review

[U Alternate Calculation IU Qualification Testing a] Special Engineering Review El YES Z N/A Other Recosare attached.

Tom Hokemever CES Elec/l&C Lead Reviewef/ rintisifln) Discipline datb Item Deficiency Resolution No.

1 Section 5.15 - Revise discussion to define the Done pressure to be used for transmitter static pressure corrections in units of psig, rather than psia. Due to previous conservatism employed, the selected numeric value of 1010 may still be used (thereby avoiding the need to revise subsequent numeric calculations) 2 Section 7.3 (two places) - Revise example for Done Flow Rate representation to utilize an actual sample flow value used within this calc.

3 Section 7.3 - Delete paragraph starting 'The Done steam flow bias and random components are computed at slightly different flow rates...' The previous revs of this calc and RNP.I/INST-1040 synchronized the evaluated flow rates.

4. 4 FORM EGR-NGGC-0003-2-5 This form is a QA Record when completed and included with a completed design package. Owner's Reviews may be processed as stand alone QA records when Owner's Review is completed.

I EGR-NGGC-0003 I Rev 8 I