ML090630751

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Enclosure 2 to Attachment 1 - Calculation No. CA06945, Rev. 1, Calorimetric Uncertainty Using the LEFM Checkplus Flow Measurement System
ML090630751
Person / Time
Site: Calvert Cliffs  Constellation icon.png
Issue date: 02/18/2009
From: Melson K
Hurst Technologies Corp
To:
Calvert Cliffs, Constellation Nuclear, Office of Nuclear Reactor Regulation
References
CA06945, Rev 1, CCN-IC-08001, Rev 1
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ENCLOSURE (2)CA06945 Revision 1, Calorimetric Uncertainty Using the LEFM CheckPlus Flow Measurement System Calvert Cliffs Nuclear Power Plant, Inc.February 18, 2009 ATTACHMENT 1, CALCULATION COVER SHEET A. INITIATION Page 1 of 36 Site N CCNPP F-1 NMP [] REG Calculation No.: CA06945 Revision No.: 0001 Vendor Calculation (Check one): 0 Yes D No Responsible Group: E&C Design Engineering Unit Responsible Engineer:

D. A. Dvorak B. CALCULATION ENGINEERING DISCIPLINE:

El Civil I lnstr & Controls F] Nuclear ED Electrical R Mechanical FD Other Title: CALORIMETRIC UNCERTAINTY USING THE LEFM CHECKPLUS FLOW MEASUREMENT SYSTEM Unit [ 1 Z 2 EI ISFSI Proprietary or Safeguards Calculation El YES Z NO Comments: Vendor Calc No.: CCN-IC-08001 REVISION No.: 1 Vendor Name: HURST TECHNOLOGIES, CORP.Safety Class (Check one): [] SR El AUGMENTED QUALITY Z NSR There are assumptions that require Verification during walkdown:

No TRACKING ID: This calculation SUPERSEDES:

CA06945, REV. 000 C. REVIEW AND APPROVAL: Responsible Engineer:

HUR ST TECHNOLOGIES, CORP, SEE PAGE 2 Printed Name and Signature F1 Yes FI No Date Is Design Verification Required?If yes, Design Verification Form is FI Attached .I Filed with: Independent Reviewer: Approval: HURST TECHNOLOGIES, CORP, SEE PAGE 2 Printed Name and Signature HURST TECHNOLOGIES, CORP, SEE PAGE 2 Printed Name and Signature Date Date BG&E Calculation CA06945, Revision 1 CALORIMETRIC UNCERTAINTY USING THE LEFM CHECKPLUS FLOW MEASUREMENT SYSTEM For Calvert Cliffs Nuclear Power Plant Units 1 & 2 Calculation No. CCN-IC-08001 Revision 1 Prepared By Hurst Technologies, Corp.Project: CCNAKT Client: Constellation Nuclear Calvert Cliffs Nuclear Power Plant 1650 Calvert Cliffs Parkway Lusby, Maryland 20657-4702 Prepared By: Checked By: Reviewed By: Approved By: Kirk R. Melson '" ' ----- Date: 2/12/09 R. A. Hunter-l 4 01' , R. A. Hunter~r"'-d 01, Date: 2/12/09 Date: 2/12/09 W.G. WellbornWl>_-ý-Z'ý---

Date: 2/12/04 CCN-IC-08001 Revision I Page 2 of 36 BG&E Calculation CA06945, Revision 1 TABLE OF CONTENTS 1.0 Purpose ...........................................

..............................................................................

5 2.0 Com ponent Listing .................................................................................................

5 3.0 Figures .........................................................................................................................

7 4.0 M ethod of Analysis ................................

...............................................................

7 5.0 D esign Inputs ......................................................................................................

9 6.0 A ssum ptions ........................................................................................................

13 7.0 References

.................................................................................................................

13 8.0 Identification of Com puter Codes ...........................................................

I .................

14 9.0 Calculations

...............................................................................................................

15 10.0 Setpoint D eterm ination ..........................

.........................

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32 11.0 Channel Check .............................................................

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32 12.0 Results .......................................................................................................................

33 13.0 Conclusions

.....................................................................................................

.........

36 ATTACHMENTS:

None CCN-IC-08001 Revision 1 Page 3 of 36 BG&E Calculation CA06945, Revision 1 RECORD OF REVISIONS Rev. Date Pages Involved Description Originator 0 1 5/22/08 All 2/12/09 All Initial Issue ý Kirk R. Melson Revised to use partial Kirk R. Melson differential method of analysis and to incorporate ER-507 Rev 2 results. Also, addressed maintenance mode of operation for UFMs.Total Rewrite (No Rev.Bars are shown.)CCN-IC-0800 1 Revision 1 Page 4 of 36 CCN-IC-08001 Revision I Page 4 of 36 BG&E Calculation CA06945, Revision 1 1.0 PURPOSE The purpose of this evaluation is. to derive the uncertainty in the secondary calorimetric, as computed on the plant computer, using the Caldon LEFM CheckPlus ultrasonic flow measurement system to measure feedwater flow. Uncertainty is evaluated at the proposed Appendix K uprated power of 2737 MW(th). The Appendix K power represents an increase of approximately 1.4% from the current licensed power limit of 2700 MW(th).This calculation also generates the relative magnitudes of the uncertainties of the parameters which comprise the secondary calorimetric uncertainty.

This calculation addresses the normal operating condition of the ultrasonic flow meters, and the degraded (maintenance) mode.2.0 COMPONENT LISTING 2.1 Calorimetric power is calculated using the following instrumentation:

2.1.1 Feedwater Flow 2.1.1.1 Feedwater flow is measured using the Caldon LEFM CheckPlus ultrasonic flow measurement system. Principle components of the LEFM CheckPlus system consist of: 2.1.1.1.1 Metering Section -The metering section is a spool-piece installed in the feedwater header to each steam generator.

The metering section consists of 8 transducer pairs.Equipment IDs 1FE1131, IFE1141 2FE1131, 2FE1141 2.1.1.1.2 Electronic Unit- The electronic unit (one per plant)sequences the operation of the transducers and calculates volumetric flow, feedwater temperature, and mass flow. The digital output. of the electronic unit provides input to the plant computer via the plant data network. The equipment IDs for the electronics unit are the cabinet numbers, 1(2)PNL1(2)C209.

The cabinet consists of two channels for the calculation of flow.Equipment IDs ,1(2)CPU I (2)C209A I and A2 1(2)CPU1(2)C209 BI and B2 CCN-IC-08001 Revision 1 Page 5. of 36 BG&E Calculation CA06945, Revision 1 2.1.2 Feedwater Pressure 2.1.2.1 Feedwater pressure is measured by pressure transmitters from taps installed in the metering section of the flow measurement system.Equipment IDs 1PT1131A, 1PT1131B, 1PT1141A, 1PT1141B 2PT1131A, 2PT1131B, 2PT1141A, 2PT1141B 2.1.2.2 The feedwater pressure transmitters provide input to the flow measurement system electronic unit, which transmits the information to the plant computer via the plant data network.2.1.2.3 Feedwater pressure is used for: 2.1.2.3.1 Calculation of feedwater mass flow 2.1.2.3.2 Calculation of feedwater enthalpy 2.1.3 Feedwater Temperature 2.1.3.1 Feedwater temperature is computed via the Caldon-Cameron equipment, as described in Section 2.1.1.1.2.

2.1.3.2 Feedwater temperature is used for the calculation of feedwater flow and feedwater enthalpy.2.1.4 Main Steam Pressure 2.1.4.1 Main steam pressure is measured from pressure transmitters installed in the steam headers downstream of each steam generator.

Equipment IDs 1 PT3991 -11 Main Steam Header Pressure 1 PT4008 -12 Main Steam Header Pressure 2PT3991 -21 Main Steam Header Pressure 2PT4008 -22 Main Steam Header Pressure 2.1.4.2 Main Steam Pressure is used for the calculation of steam enthalpy and blowdown enthalpy.2.1.5 Steam Generator Blowdown Flow 2.1.5.1 Steam generator blowdown flow is determined from indicated total blowdown tank flow.Equipment IDs 1FT4089 -Unit 1 BD Tank Effluent Flow 2FT4089 -Unit 2 BD Tank Effluent Flow 2.1.5.2 Blowdown flow for each steam generator is not measured directly, but is manually input to the plant computer in accordance with References 7.3.3 and 7.3.4. The blowdown flow input represents the total blowdown flow from each steam generator.

CCN-IC-0 8001 Revision 1 Page 6 of 36 CCN-IC-08001 Revision I Page 6 of 36 BG&E Calculation CA06945, Revision 1 2.1.6 Calorimetric Constants 2.1.6.1 Calorimetric constants are assigned to calorimetric inputs not directly measured by plant instruments such as* Heat addition to the reactor coolant system (RCS) from the pressurizer heaters and reactor coolant pumps.* Net heat loss from the RCS to letdown flow.* Net heat loss from the RCS through insulation.

  • Steam generator exit steam quality.3.0 FIGURES None 4.0 METHOD OF ANALYSIS Overall Heat Balance Uncertainty Determination The overall heat balance uncertainty is determined by combining the uncertainties associated with each input to. the heat balance calculation.

The following uncertainties are considered:

  • Feedwater Temperature 0 Feedwater Flow" Feedwater Pressure* Steam Pressure* Blowdown Flow* Steam Quality" Assumed Values (Ambient Heat Losses, RCP Heat Input, Pressurizer Heaters, etc.)* Plant Computer Calculation Accuracy (Algorithms and A/D)The equation used to compute the uncertainty associated with the heat balance calculation is obtained by taking the total differential of the overall heat balance equation.

The partial derivatives in the total differential represent the effects of a change in a given parameter (weighting factors).

The differentials (dmFw, etc.) represent the uncertainty of each input. Random Uncertainties (U) are combined using the Square Root Sum of Square and bias uncertainties (B) are added.The final uncertainties are obtained by adding the positive bias terms to the positive random term and the negative bias terms to the negative random component.

This is obtained for the normal operating configuration and for the degraded (maintenance) mode of the ultrasonic flow meters (UFMs). Uncertainties for the Maintenance mode generally have a -M subscript addition.

The uncertainties for the normal operating CCN-IC-08001 Revision I Page 7 of 36 BG&E Calculation CA06945, Revision 1 configuration of the UFMs and the degraded (maintenance) mode are also computed for the condition where single-side-of-interest is credited as defined in Section 8.1 of Reference 7.1.5; since only negative uncertainties are of concern when verifying that the Appendix K limits are not exceeded.The feedwater temperature value, as computed within the Caldon-Cameron UFMs, has random uncertainties only. However, per Reference 7.1.8, a small portion of the feedwater temperature error is considered dependent with the feedwater flow error.Therefore, these two errors are added for a total random term, before being combined with the other random errors in the equation.Relative Uncertainty Contributions The relative contribution of each random input to calorimetric uncertainty is determined by the following expression.

U INPUT =U INPUT lU INPUT Where:U'INpUT is the relative contribution of the random uncertainty UINPUT is the random uncertainty of an input parameter UCAL is the total random uncertainty of the secondary calorimetric This expression can be combined with the associated bias input to find the net contribution of that input to calorimetric uncertainty.

U'INPUTNET

= U INPUT + B INPUT Where: BINPUT is the bias uncertainty of an input parameter.

The net contribution of each input to net calorimetric uncertainty can then be found by the following expression.

U -INPUT-NET U INPUT-NET%-

U CAL-NET Where:UINPUT.NET%

is the net relative contribution of an input to the net calorimetric uncertainty.

UCAL-NET is the net calorimetric uncertainty.

Note that for ease in computations, the dependent portion of the feedwater temperature uncertainty is included with the feedwater flow uncertainty in determining the relative uncertainty contribution for feedwater flow. This is appropriate because of the small contribution of the feedwater temperature to the feedwater flow value, and the small magnitude of the feedwater temperature in comparison to the non-dependent feedwater temperature uncertainty.

Therefore, this has little impact on the overall computations of the relative uncertainty contributions.

CCN-IC-0800 1 Revision 1 Page 8 of 36 CCN-IC-08001 Revision I Page 8 of 36 BG&E Calculation CA06945, Revision 1 5.0 DESIGN INPUTS 5.1 Per Reference 7.1.2, the following equation is used to compute the thermal output of one steam generator:

Q=(mFW-mBDXachFS

+3hs -hFW)+mBD(hFS -hFW)-C where, mFw = feedwater flow mBD = blowdown flow hFs = fluid component of steam enthalpy hs = vapor component of steam enthalpy hFw = feedwater enthalpy (compressed liquid)P3 = steam quality c = moisture carryover

= 1 -[3 C = correction factor for miscellaneous heat sources and sinks (pressurizer heaters, reactor coolant pumps, RCS insulation losses, etc.)The equation used to compute the uncertainty associated with the heat balance calculation is obtained by taking the total differential of the heat balance equation.

The partial derivatives in the total differential represent the effects of a change in a given parameter (weighting factors).

The differentials (dmFw, etc.) represent the uncertainty of each input.Therefore, the uncertainty associated with the heat balance calculation is computed with the following equation: dQ- Q dmFW + dmBD + QdhFS+ dh dhFW + hQ dC amFW GInBD ah FS ahs ah FW aC where,"__ _ FhFS +Phs-hFw aQ _ -chFs -_ 3hs +hFs'm BD aQ _ c(mFW mBD)+mBD tDh FS DQ P(mFW- mBD)ahs aQ _F ah FW.aQ-1 DC CCN-IC-0800 1 Revision 1 Page 9 of 36 CCN-IC-08001 Revision I Page 9 of 36 BG&E Calculation CA06945, Revision 1 dmFw = feedwater flow uncertainty dmBD = blowdown flow uncertainty dhAs = steam enthalpy (fluid portion of saturated steam) uncertainty dhs = steam enthalpy uncertainty dhFw = feedwater enthalpy uncertainty dC = correction factor uncertainty The dhFs and dhs terms are both random dependent on steam quality, and the dC term is a bias value programmed into the computer.

The feedwater enthalpy term dhFw is impacted by the measurement of feedwater pressure and feedwater flow. Note that there is a dependency in the error term for feedwater flow and a small portion of the feedwater temperature error. Therefore, the enthalpy uncertainties for feedwater temperature and pressure are separated out, such that the following terms are derived.dhFwT = feedwater enthalpy uncertainty (from non-dependent FW temp error)dhFwTd = feedwater enthalpy uncertainty (from dependent FW temp error)dhFwP = feedwater enthalpy uncertainty (from FW pressure error)Plant computer uncertainties in the computation of enthalpies are considered within this calculation.

The enthalpy errors, as defined within the plant computer specifications, are applied for each enthalpy computed, multiplied by the appropriate weighting factor, and then are combined to form a single uncertainty term (UsG-PC) per steam generator.

Bias errors exist for the correction factor uncertainty and the steam pressure measurement.

The overall heat balance uncertainty equation is re-written as follows, considering two instances of the random uncertainties, which are computed per steam generator:

dQ=dC+ 2xhsM dh, (Bias)+ 2 x dhs(Bias)j

+aQ dhFs+ aQ dhs ahFs h Therefore, random uncertainties, per steam generator, are computed with the following equation: CCN-IC-08001 Revision I Page 10 of 36 BG&E Calculation CA06945, Revision 1 OQ " _h _ 2+ 1"Q dh,+ Q dhs +-u FS c0h , Random dQ = +/- ' ---dhFwp P + aQ dhFwr + USGPC Bias uncertainty is computed with the following equation: Bias dQ=dC+r2 x dh--Fs(Bias)+2x a dhS(Bias 5.2 Per Reference 7.2.4, the uncertainty associated with the constant value used to account for heat input to the RCS by the pressurizer heaters and electrical equipment is +1.603 MW / -0.0 MW.Per Reference 7.2.4, the uncertainty associated with the constant value used to account for fixed insulation losses is +0.35 MW / -0.35 MW.Per Reference 7.2.4, the uncertainty associated with the constant value used to account for letdown flow losses is +1.29 MBtu / hr / -3.05 MBtu / hr (Unit 1) and +1.35 MBtu / hr/ -3.19 MBtu / hr (Unit 2). For conservatism, an uncertainty of +1.35 MBtu / hr / -3.19 MBtu / hr is used for both Unit 1 and Unit 2. Using a conversion factor of 3.412141 btu /hr / w, this uncertainty equates to +0.40 MW / -0.93 MW.Per Reference 7.2.4, the uncertainty associated with the constant value used to account for energy added to the RCS by the RCPs is +0.61 MW / -0.61 MW.Therefore, the total bias associated with known heat sources and sinks is +2.963 MW / -1.89 MW. Using a conversion factor of 3.412141 btu / hr / w, this uncertainty equates to+10.11 MBtu / hr / -6.45 MBtu / hr. These terms compose the dC term in the equation developed in Design Input 5.1.5.3 Per Reference 7.1.2, the accuracy of the plant computer calculation of enthalpy is +/-0.10 Btu /lbm.5.4 Reference 7.2.4 provides the uncertainty (for 100% power only) associated with the determination of main steam quality (maximum uncertainty of +/-0.000364), which is only applicable if an actual estimated steam quality is used within the secondary calorimetric computation, instead of 1. Per Reference 7.1.3, steam quality, X, is set to 1 for use in the secondary calorimetric computation, as recommended by Reference 7.2.4. Therefore, these errors don't apply.If carryover is considered, the gross thermal output of one steam generator is represented by the following equation.CCN-IC-0800 1 Revision 1 Page 11 of36 CCN-IC-08001 Revision I Page I I of 36 BG&E Calculation CA06945, Revision 1 QSG = (MFW)[(1 -XOhFS + XhGS -hFw ]+ (XMBD XhFS -hGs)This reduces to the following equation.QSG = (MFW XhFS -hFW)+ (XXMFW -MBD XhGS -hFs)Since quality only has values of 1 or less, the calculated thermal output, using a quality of 1, will always be equal to or greater than actual thermal output. This results in a positive uncertainty, which is generally considered to be the conservative direction for this error.Therefore, the potential errors due to steam quality variations are NOT considered within this calculation.

5.5 Per Reference 7.1.8, the fully functional LEFM,4+ system mass flow uncertainty is+/-0.30%. The maintenance mode system mass flow uncertainty is +/-0.52%.The fully functional LEFMJ+ systematic temperature error related to the mass flow error is +/-0.11'F, and the random temperature error is +/-0.56°F. The maintenance mode LEFM'.+ systematic temperature error related to the mass flow error is +/-0.05°F, and the random temperature error is +/-0.57°F.Per Section III of Appendix C of Reference 7.1.8, "In the determination of overall thermal power uncertainty, terms A and B will be provided by Cameron, based in part on a feedwater pressure uncertainty provided by the utility. This uncertainty is generally assumed to be within 15 psi." All of the above specifications are conservatively treated as system errors, including both headers. The flow values are the errors associated with the totalized flow between both headers, but since the error is expressed as a percentage, the addition of these flows and errors acts as though the system were an averaging device. The temperature errors are errors in the total average temperature reading. The pressure errors are errors in the total average pressure reading. This calculation analyzes random errors on a per loop basis.Therefore, for analysis purposes, this calculation first converts these errors to loop values, by the following relationship, assuming an averaging function.Error (Total) = +/- Error(Loop)

= + Error(Loop)

V/No. of Loops Error(Loop)

= +/-V2 x Error (Total)Note: This equation produces error values that are conservative (large), as compared to the loop values computed within Appendix A.2 of Reference 7.1.8 (specifically comparing the normal mode loop flow errors to this method). Therefore, this is considered to be an acceptable approach.CCN-IC-0800 1 Revision.

1 Page 12 of 36 CCN-IC-08001 Revision.1 Page 12 of 36 BG&E Calculation CA06945, Revision 1 6.0 ASSUMPTIONS 6.1 Per Reference 7.1.7, the following table contains the nominal values used for operating parameters at 100% power (2737 MWth). These values are based on averaged values from September 2008 through December 2008 and startup trends from past two outages, rounded as appropriate for conservatism and extrapolated upward to the power uprate condition.

Power MFW Flow to MFW Flow T-FWk MFW Steam (% RTP -Power one S/G (% Flow MFW Temp Pressure, Pressure Uprated) (klbm/hr)

Span) S/G (°F) (psia) (psia)100 101.4 6060 93.23 433 860 820 Note: 100% Flow Span = 6500 klbm/hr 6.2 From page 1 of Appendix A.2 of Reference 7.1.8, for computation of UFM uncertainties, the standard assumption is made that the feedwater pressure uncertainties are +/- 15 psi, based on Reference 7.1.6. The actual uncertainty for the feedwater pressure transmitter that supplies the signal to the UFMs is much less than +/-15 psi, based on Reference 7.2.5.It is assumed that the signal conditioning does not increase the overall uncertainty of the feedwater pressure signal above an overall value of +/-15 psi.6.3 The blowdown flow rate used in this analysis is a nominal value, per steam generator, which is based on the various flow limits established by References 7.3.3 and 7.3.4. The assumed total flow rate of 110,000 lbmnhr is assumed to be split evenly between steam generators.

7.0 REFERENCES

7.1 Technical References 7.1.1 ASME Steam Tables, Fifth Edition (1967 Steam Tables)7.1.2 Vendor Technical Manual 12-138-249, "Control Specification Plant Computer," Revision 25 7.1.3 SP 094, System 094 Setpoint File, Revision 9 7.1.4 ESP ES200400492-000, Review/Revise Calorimetric Constants, Revision 0 7.1.5 ISA-RP67.04.02-2000, Methodologies for the Determination of Setpoints for Nuclear Safety Related Instrumentation, 1/1/2000 7.1.6 Caldon, Inc. Engineering Report- 157P, Supplement to Topical Report ER-80P, Basis for a Power Uprate With the LEFM Check or LEFM CheckPlus System, Revision 0, March, 1997 CCN-IC-08001 Revision I Page 13 of 36 BG&E Calculation CA06945, Revision 1 7.1.7 Constellation Correspondence DMLS # DE10274, D. A. Dvorak to File, Dated February 9, 2009, "Estimated Parameters for Calorimetric Uncertainty for a 1.4% Appendix K Uprate" 7.1.8 Cameron Engineering Report ER-507, "Bounding Uncertainty Analysis for Thermal Power Determination at Calvert Cliffs Using the LEFM 41+System," Revision 2 7.2 Calculations 7.2.1 BG&E Calculation 1-93-037, "Uncertainty Calculation for the Plant Computer Indication of Main Steam Pressure", Revision 1 7.2.2 BG&E Calculation CA04564, "Uncertainty Calculation for the Blowdown Flow Input To The Secondary Heat Balance", Revision 2 7.2.3 BG&E Calculation 1-93-071, "Secondary Calorimetric Constants Baseline Calculation", Revision 0 7.2.4 BG&E Calculation 1-93-072, "Uncertainties of the Secondary Calorimetric Constants for BG&E's CCNPP Units I & 2", Revision 0, including CCN 1-93-072-001 7.2.5 BG&E Calculation CA07018, "Main Feedwater Pressure Input Uncertainty to the Caldon CheckPlus LEFM", Revision 0 7.3 Plant Procedures 7.3.1 CCNPP Operating Instructions (01) 12A-1, "Feedwater System," Revision 45 7.3.2 CCNPP Operating Instructions (01) 12A-2, "Feedwater System," Revision 38 7.3.3 CCNPP Operating Instructions (01) 08A-1, "Blowdown System," Revision 39 7.3.4 CCNPP Operating Instructions (01) 08A-2, "Blowdown System," Revision 3.7 8.0 IDENTIFICATION OF COMPUTER CODES No special computer routines were used in the development of this calculation.

CCN-IC-0800 1 Revision 1 Page 14 of 36 CCN-IC-08001 Revision 1 Page 14 of 36 BG&E Calculation CA06945, Revision 1 9.0 CALCULATIONS 9.1 Initial Conditions In order to determine the uncertainty associated with the heat balance calculation, process conditions must be established at the power level of interest, 100% RTP. The following parameters are defined for the calculation of heat balance uncertainties:

Operating Parameters Power mFW mBD (% RTP) (lbm/hr) (lbm/hr)100 6,060,000 55,000 1.000 0.000 Note: mFW = feedwater flow values obtained from Assumption 6.1.mBD = blowdown flow (The blowdown flow rate is a nominal value, per steam generator, which is based on the various flow limits established by References 7.3.3 and 7.3.4. The assumed total flow rate of 110,000 lbm/hr is assumed to be split evenly between steam generators.

See Assumption 6.3)= steam quality values are provided in Reference 7.2.3 Table 7-1. For conservatism, the steam quality is set to 1 for all power levels. (Design Input 5.4)cc = moisture carryover 1 -Operating Parameters Feedwater Feedwater Steam Pressure Temperature Pressure (% RTP) (psia) (OF) (psia)100 860 433 820 Note: Feedwater pressure value obtained from Assumption 6.1.Feedwater temperature value obtained from Assumption 6.1.Steam pressure value obtained from Assumption 6.1.CCN-IC-08001 Revision I Page 15 of 36 BG&E Calculation CA06945, Revision 1 The following values are obtained from the ASME steam tables (Reference 7.1.1).Feedwater, Steam, & Blowdown Enthalpy Feedwater Steam Blowdown Power Enthalpy Enthalpy Enthalpy (% RTP) hFw hs hFs (btu/lbm) (btu/lbm) (btu/lbm)100 411.633 1198.828 513.285 Note: Feedwater Enthalpy is a function of Feedwater Temperature and Pressure.Steam Enthalpy is a function of steam pressure and quality (P3).Blowdown enthalpy is a function of steam pressure and moisture carryover (cc.Per Design Input 5.1, the following equation is used to compute the heat balance uncertainty:

dQdC+2x Q dhFs(Bias)+2x aQ dhs(Bias)

+ahFS ahs The partial derivative weighting factors are calculated with the operating parameters given above: Weighting Factors Power 6Q /6 mFW 8Q / 6 mBD 8Q / 8hFs 6Q / 8hs 5Q / 8hFw (% RTP) (btu/lbm) (btu/lbm) (lbm/hr) (lbm/hr) (lbm/hr)100 787.20 -685.54 55,000 6,005,000

-6,060,000 CCN-IC-0800 1 Revision 1 Page 16 of 36 CCN-IC-08001 Revision I Page 16 of 36 BG&E Calculation CA06945, Revision 1 9.2 Random Uncertainty 9.2.1 Random Uncertainties of Process Parameter Indications on Plant Computer Per Section III of Appendix C of Reference 7.1.8, "In the determination of overall thermal power uncertainty, terms A and B will be provided by Cameron, based in part on a feedwater pressure uncertainty provided by the utility. This uncertainty is generally assumed to be within 15 psi." This requirement is for the system pressure or the average between the two loops. Very accurate instrumentation is being installed for this application, with uncertainties which are significantly smaller than 15 psi (Reference 7.2.5). The uncertainty associated with the feedwater pressure measurement is conservatively set equal to +/-15 psi x 21/2 +/-21.21 psi for this computation, per Assumption 6.2. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Feedwater Pressure Uncertainty Effects Power Feedwater Feedwater (% RTP) Pressure Temperature Ideal hFw Pos hFwP Neg hFwP Pos dhFwP Neg dhFwP (psia) (OF) (btu/Ibm) (btu/lbm) (btu/Ibm) (btu/Ibm) (btu/ibm)100 860.00 433.00 411.633 411.650 411.616 0.017 -0.017 Note: Ideal hFw = Enthalpy (Feedwater Pressure, Feedwater Temperature)

Pos hFwp = Enthalpy (Feedwater Pressure + 21.21 psi, Feedwater Temperature)

Neg hFwp = Enthalpy (Feedwater Pressure -21.21 psi, Feedwater Temperature)

Pos dhFwp = Pos hFwp -Ideal hFw Neg dhFwp = Neg hFWP -Ideal hFw Per Reference 7.1.8, the normal uncertainty associated with the feedwater temperature measurement that is not dependent with the feedwater flow uncertainty is +/-0.56'F x 21/ = +/-0.79'F. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Feedwater Temperature Uncertainty Effects Power Feedwater Feedwater (% RTP) Pressure Temperature Ideal hew Pos hvwr Neg hvwT Pos dhFwT Neg dhFwr (psia) (OF) (btu/Ibm) (btu/Ibm) (btu/Ibm) (btu/Ibm) (btu/Ibm)100 860.00 433.00 411.633 412.504 410.763 0.871 -0.871 Note: Ideal hvw = Enthalpy (Feedwater Pressure, Feedwater Temperature)

Pos hFWT = Enthalpy (Feedwater Pressure, Feedwater Temperature

+ 0.79'F)Neg hFWT = Enthalpy (Feedwater Pressure, Feedwater Temperature

-0.79'F)Pos dhFwT = Pos hFWT -Ideal hFw Neg dhFwT = Neg hFWT -Ideal hFw Per Reference 7.1.8, the maintenance mode uncertainty associated with the feedwater temperature measurement that is not dependent with the FW flow uncertainty is +/-0.57°F x 21/2- +/-0.81 0 F. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: CCN-IC-08001 Revision I Page 17 of 36 BG&E Calculation CA06945, Revision 1 Feedwater Temperature Uncertainty Effects (Maintenance Mode)Feedwater Feedwater Power Pressure Temperature Ideal hvw Pos hFWT.M Neg hFWT.M Pos dhFwT.M Neg dhFvr.M (% RTP) (psia) (OF) (btu/Ibm) (btu/Ibm) (btu/Ibm) (btu/Ibm) (btu/Ibm)100 860.00 433.00 411.633 412.520 410.747 0.887 -0.886 Note: Ideal hFw = Enthalpy (Feedwater Pressure, Feedwater Temperature)

Pos hFWT-M = Enthalpy (Feedwater Pressure, Feedwater Temperature

+ 0.81 'F)Neg hFWT-M = Enthalpy (Feedwater Pressure, Feedwater Temperature

-0.81 'F)Pos dhFWT-M = Pos hFWT-M -Ideal hFw Neg dhFWT-M = Neg hFWT--M -Ideal hFw Per Reference 7.1.8, the normal uncertainty associated with the feedwater temperature measurement that is dependent with the feedwater flow uncertainty is 1/2+/-0.1 IF x 2 = +/-0.16'F. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Dependent Feedwater Temperature Uncertainty Effects Power Feedwater Feedwater Power Pressure Temperature Ideal hFw Pos hFwrd Neg hvwrd Pos dhFwrd Neg dhrFrd (% RTP) (psia) (OF) (btu/lbm) (btu/lbm) (btu/lbm) (btu/Ibm) (btu/lbm)100 860.00 433.00 411.633 411.804 411.462 0.171 -0.171 Note: Ideal hEW = Enthalpy (Feedwater Pressure, Feedwater Temperature)

Pos hFWTd = Enthalpy (Feedwater Pressure, Feedwater Temperature

+ 0.1 6°F)Neg hFWTd = Enthalpy (Feedwater Pressure, Feedwater Temperature

-0.1 6'F)Pos dhFwTd = Pos hFWTd -Ideal hFw Neg dhFwTd = Neg hFWTd -Ideal hFw Per Reference 7.1.8, the maintenance mode uncertainty associated with the feedwater temperature measurement that is dependent with the FW flow uncertainty is +/-0.05°F x 21/2_=_ +/-0.07'F. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Dependent Feedwater Temperature Uncertainty Effects (Maintenance Mode)Power Feedwater Feedwater (Poe Pressure Temperature Ideal hr Pos h~Td.m Neg h~wdm Pos dhFwrdm Neg dhrdm (% RTP) (psia) (OF) (btu/lbm) (btu/lbm) (btu/Ibm) (btu/Ibm) (btu/Ibm)100 860.00 433.00 411.633 411.711 411.555 0.078. -0.078 Note: Ideal hFw = Enthalpy (Feedwater Pressure, Feedwater Temperature)

Pos hFWTd-M = Enthalpy (Feedwater Pressure, Feedwater Temperature

+ 0.07°F)Neg hFWTd-M = Enthalpy (Feedwater Pressure, Feedwater Temperature.-

0.07'F)Pos dhFWTd-M = Pos hFWTd-M -Ideal hFw Neg dhFWTd-M = Neg hFWTd-M -Ideal hFw CCN-IC-08001 Revision I Page 18 of 36 BG&E Calculation CA06945, Revision 1 Per Reference 7.2.1, the random uncertainty associated with the steam pressure measurement is 19.8 psi. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Steam Pressure Uncertainty Effects Power Steam Ideal hs Pos hs Neg hs Pos dhs Neg dhs (% RTP) Pressure (btu/lbm) (btu/lbm) (btu/lbm) (btu/lbm) (btu/Ibm)(% RTP)(psia) 100 820.00 1198.828 1198.255 1199.381 0.553 :0.573 Note: Ideal hs = vapor component enthalpy Pos hs = vapor component enthalpy (Steam Pressure + 19.8 psi)Neg hs = vapor component enthalpy (Steam Pressure -19.8 psi)Pos dhs = Neg hs -Ideal hs Neg dhs = Pos hs -Ideal hs Steam Pressure Uncertainty Effects Power Steam Ideal hFs Pos hFs Neg hFs Pos dhFs Neg dhFs Pressure (% RTP) (psia) (btu/lbm) (btu/lbm) (btu/lbm) (btu/lbm) (btu/lbm)F 100 820 513.285 516.675 509.846 3.390 -3.439 Note: Ideal hFs = fluid component enthalpy (Steam Pressure)Pos hFs = fluid component enthalpy (Steam Pressure + 19.8 psi)Neg hFs = fluid component enthalpy (Steam Pressure -19.8 psi)Pos dhFs = Pos hFs -Ideal hFs Neg dhFs = Neg hFs -Ideal hFs 9.2.2 Plant Computer Enthalpy Determination Uncertainty General Equations for Uncertainty:

For each steam generator, I[(MFW XhGS -h FW -(MBD XhFG )]CALC -PC USG-PC(hFW)

= -[(MFW XhGS -hFW) -(MBD XhFG )]ACT J CCN-IC-08001 Revision I Page 19 of 36 BG&E Calculation CA06945, Revision 1 An error in the computation of feedwater enthalpy is determined from the following equations.

USGPC(hFW)

= (MEW XhFw-ACT -hFWCALC)USGPC(hFW)

= (MEW XUpc)Using the expression above, the contribution of feedwater enthalpy uncertainty to the calorimetric uncertainty from the plant computer computation of enthalpy is computed as shown in the following table.Feedwater Enthalpy, Plant Computer mFw UpC USG-PC(hFW)(lbm/hr) btu/lbm btu/hr 6,060,000 0.10 606,000 Main Steam Enthalpy, Saturated Vapor The plant computer does not calculate hEG directly, but takes the difference between the calculated saturated vapor enthalpy and the saturated liquid enthalpy.General Equations for Uncertainty:

For each steam generator, F[(MFWXhGS -hFW)-(MBDXhGS -hFS)]CALC -PC US-PO(h6S)

= _-[(MFWXhGS -hFW)-(MBDXhGs

_hFs)]ACT J An error in the computation of main steam saturated vapor enthalpy is determined from the following.

US-P~hSf-

[(MFW Xh GS-CALC ) -(MBD XhGS-CALciI USGPChGS)-

-[(MFW Xh GS-ACT ) -(MBDXh GS-ACT)]J USG-PC(hGS)

= (MFW -MBD )(hGS-CAL

-hGS-ACT)USGPC(hGS).

= (MFW -MBD XUpc)Note that separate enthalpy values are computed for each steam generator blowdown flow rate in the plant computer.Using the expression above, the contribution of main steam saturated vapor enthalpy uncertainty to the calorimetric uncertainty from the plant computer computation of enthalpy is shown in the following table.CCN-IC-0 8001 Revision 1 Page 20 of 36 CCN-IC-08001 Revision I Page 20 of 36 BG&E Calculation CA06945, Revision 1 Steam Enthalpy -Saturated Steam, Plant Computer mFW mBD (I SG) UPc USG-PC(hGS)(lbm/hr) (lbm/hr) btu/lbm btulhr 6,060,000 55,000 0.10 600,500 Main Steam Enthalpy, Saturated Liquid The plant computer does not calculate hFG directly, but takes the difference between the calculated saturated vapor enthalpy and the saturated liquid enthalpy.General Equations for Uncertainty:

For each steam generator, USG[PC(hFS)

F[MFWXhGS

'hFW)-(MBDXhGS -hFS)]CALC -PC U--[(MFw XhGs -hFw)- (MBD XhGs -hFS )]ACT An error in the computation of main steam saturated liquid enthalpy is determined from the following.

USGPC(hFS)

= (MBD XhFS-ACT -hFSCALC)USGPC(hFS)

= (MBDXUPC)Note that separate enthalpy values are computed for each blowdown flow rate in the plant computer.Using the expression above, the contribution of main steam saturated liquid enthalpy uncertainty to the calorimetric uncertainty from the plant computer computation of enthalpy is as shown in the following table.Steam Enthalpy -Saturated Liquid, Plant Computer mBD (I SG) UPC USG-PC(hFS)(lbm/hr) btu/lbm btuihr 55,000 0.10 5,500 The combined uncertainty for the plant computer calculation of enthalpies is given bythe following expression and table.USG-PC =V(UsG-Pc(Fw))2

+ (USG-PC(hGS))2

+ (UsG-PC(hFS))2 CCN-IC-08001 Revision 1 Page 21 of 36 BG&E Calculation CA06945, Revision 1 Combined, Plant Computer Uncertainties (Single Steam Generator)

USG-PC(hFw)

USG-PC(hGS)

USG-PC(hFS)

USG-PC btulhr btu/hr btu/hr btuihr 606,000 600,500 5,500 853,151 9.2.3 Total Random Uncertainties The following tables provide a summary of random uncertainty terms used to compute the overall heat balance uncertainty.

Uncertainty Factors (Normal Functioning UFMs)Power dmFw dmBD dhFs dhs dhFwP dhFwT dhFwrd (% RTP) (lbm/hr) (lbm/hr) (btu/Ibm) (btu/Ibm) (btu/lbm) (btu/lbm) (btu/lbm)100 27,577 4,011 3.439 0.573 0.017 0.871 0.171 Uncertainty Factors (Maintenance Mode)Power dmFW.M dmBD dhFs dhs dhFwP dhFwT.M dhFwTd.M (% RTP) (lbm/hr) (lbm/hr) (btu/lbm) (btu/lbm) (btu/lbm) (btu/lbm) (btu/lbm)100 47,800 4,011 3.439 0.573 0.017 0.887 0.078 Note: The feedwater enthalpy uncertainty (dhFwp) is the result of feedwater pressure uncertainties (developed above). The feedwater enthalpy uncertainty (dhFwT) is the result of the feedwater temperature uncertainties that are not dependent with the feedwater flow uncertainties (developed above). The feedwater enthalpy uncertainty (dhFwTd) is the result of the feedwater temperature uncertainties that are dependent with the feedwater flow uncertainties (developed above).Feedwater flow uncertainties (dmFw) are obtained from Design Input 5.5, via Reference 7.1.8.Blowdown flow uncertainties (dmBD) are obtained from Reference 7.2.2 (maximum uncertainties used). Per Reference 7.2.2, at 100% power, the maximum total blowdown flow error is 5,673 lbm/hr. Converting this value to a single loop value, dmBD(kOOp)

= dmBD(Total)_

5,673 Ibm/hr-mBD(o2p)=

4,0111Ibm/hr Steam enthalpy fluid component uncertainty (dhFs) is developed above.Steam enthalpy vapor component uncertainty (dhs) is developed above.The most conservative uncertainty is used in each case.CCN-IC-08001 Revision I Page 22 of 36 BG&E Calculation CA06945, Revision 1 For convenience, the weighting factors are repeated: Weighting Factors Power 6Q / 8mFw 8Q / 6 mBD 8Q / 5hFs 6Q / 8hs 8Q / 6 hFw (% RTP) (btu/lbm) (btu/lbm) (lbm/hr) (lbm/hr) (lbm/hr)100 787.20 -685.54 55,000 6,005,000

-6,060,000 Per Design Input 5.1, the following equation is used to compute the random heat balance uncertainty:

Random dQ = +/-/Q2 9 2 R dmFWwM + -dhFwTdM + dmB 0 +dQM +/- 3 FW -a~ ) B Random dQM +/ Wa F aB/2 \2 /2 aQ dhFs+ M dhs +1 0 dhFwP + 1 Q dhFW-_M + USGPChFs ahs ) .hFw Each sub-term in the above equation is computed in the tables below for the normal operating condition and for the maintenance mode of the UFMs. Each random term is shown as U.Individual Random Uncertainties (Single Steam Generator)(btu/hr)Power UmFW UmBD UhFs Uhs UhFwP UhFWT USG.PC UhFwTd (% RTP)100 21,708,614 2,749,713 189,142 3,440,526 103,886 5,279,083 853,151 1,036,689 Individual Random Uncertainties (Single Steam Generator) (Maintenance Mode)(btu/hr)Power UmFW.M UmBD UhFs Uhs UhFwp UhFWT.M USG-PC UhFWTd-M (% RTP)100 37,628,265

-2,749,713 189,142 3,440,526

-103,886 -5,373,383 853,151 471,206.CCN-IC-0800 1 Revision 1 Page 23 of 36 CCN-IC-08001 Revision I Page 23 of 36 BG&E Calculation CA06945, Revision 1 The total random uncertainty is shown below,.Total Random Uncertainty Power Random dQ (% RTP) (btu/hr)100 23,805,285 Total Random Uncertainty (Maintenance Mode)Power Random dQM (% RTP) (btu/hr)100 38,754,574 Single Side of Interest Correction Since only negative calorimetric uncertainties are of interest, the methodology established in Reference 7.1.5, Section 8.1, "Correction for Setpoints with a Single Side of Interest" could be applied.The calorimetric uncertainty calculated previously is generally based upon a 95%confidence level (1.96 standard deviations).

The random component of calorimetric uncertainty may be reduced by a correction of (1.645/1.96).

This is conservative, since the actual UFM uncertainties are based on 2 standard deviations instead of 1.96.Total Random Uncertainty (Single Side of Interest)Power Random dQss 5 (% RTP) .(btu/hr)100 19,979,436 Total Random Uncertainty (Maintenance Mode)(Single Side of Interest)Power Random dQss, (% RTP) (btu/hr)100 32,526,160 CCN-IC-0800 1 Revision 1 Page 24 of 36 CCN-IC-08001 Revision I Page 24 of 36 BG&E Calculation CA06945, Revision 1 9.3 Bias Uncertainty Per References 7.1.8, 7.2.1 and 7.2.3, a bias is present in the steam pressure and correction factor inputs. Per Design Input 5.1, the following equation is used to compute the bias uncertainty associated with the heat balance: Bias dQ=dC+K 2 xhsQ dhFS(Bias)+2x aQ dhs(Bias The partial derivative weighting factors were established in Section 9.1, but are multiplied by two to provide total bias terms, applying to the combined system (two steam generators).

2 x Weighting Factors Power 2x8Q/8hFs 2x8Q/6hs (% RTP) (lbm/hr) (lbm/hr)100 110,000 12,010,000 Per Reference 7.2.1, the bias uncertainty associated with the steam pressure measurement is +3.36 psi. The effect of this uncertainty on the calculation of the feedwater enthalpy is as follows: Steam Pressure Uncertainty Effects Steam Power Ideal hs Pos hs Neg dhs (% RTP) Pressure (btu/lbm) (btu/lbm) (btu/lbm)(%__RTP)_ (psia)100 820 1,198.828 11198.733

-0.096 Note: Ideal hs = vapor component enthalpy (Steam Pressure)Pos hs = vapor component enthalpy (Steam Pressure + 3.36 psi)Neg dhs = Pos hs -Ideal hs Steam Pressure Uncertainty Effects Power Steam Ideal hFs Pos hFs Pos dhFs Power PressureIII

(% RTP) (psia) (btu/lbm) (btu/lbm) (btu/lbm)100 820 513.285 513.864 0.579 Note: Ideal hFs = fluid component enthalpy (Steam Pressure)Pos hFs = fluid component enthalpy (Steam Pressure + 3.36 psi)Pos dhFs = Pos hFS -Ideal hFS CCN-IC-08001 Revision I Page 25 of 36 BG&E Calculation CA06945, Revision 1 Per Design Input 5.2, the power correction factor uncertainty is as follows: Pos dC = 10,110,000 (btu/lbm)Neg dC = -6,450,000 (btu/lbm)Each individual bias uncertainty term is computed, for use later on in the calculation.

Each term is shown as "U" for uncertainty.

Individual Bias Uncertainties (btu/hr)PowerIII (owr Direction Bhs BhFs BcF (% RTP)100 Positive 63,653 10,110,000 100 Negative -1,150,695

-6,450,000 The total bias uncertainty is computed via the following equations, as presented in the table below.Pos dQ = Pos BCF + Pos BhFs Neg dQ = Neg BCF + Neg Bhs Total Bias Uncertainty Power Pos dQ Neg dQ (% RTP) (btu/hr) (btu/hr)100 10,173,653

-7,600,695 CCN-IC-0800 1 Revision 1 Page 26 of 36 CCN-IC-08001 Revision I Page 26 of 36 BG&E Calculation CA06945, Revision 1 9.4 Total Heat Balance Uncertainty Per Sections 9.2 and 9.3, the total random and bias heat balance uncertainty is as follows: Heat Balance Uncertainty

-One Steam Generator Power Random dQ Pos dQ Neg dQ (% RTP) (btu/hr) (btu/hr) (btu/hr)100 23,805,285 10,173,653

-7,600,695 Heat Balance Uncertainty

-One Steam Generator (Single Side of Interest)Power Random dQ Pos dQ Neg dQ (% RTP) (btu/hr) (btu/hr) (btu/hr)100 19,979,436 10,173,653

-7,600,695 Heat Balance Uncertainty

-One Steam Generator (Maintenance Mode)Power Random dQ Pos dQ Neg dQ (% RTP) (btu/hr) (btu/hr) (btu/hr)100 38,754,574 10,173,653

-7,600,695 Heat Balance Uncertainty

-One Steam Generator (Maintenance Mode)(Single Side of Interest)Power Random dQ Pos dQ Neg dQ (% RTP) (btu/hr) (btu/hr) (btu/hr)100 32,526,160 10,173,653

-7,600,695 CCN-IC-0800 1 Revision 1 Page 27 of 36 CCN-IC-08001 Revision I Page 27 of 36 BG&E Calculation CA06945, Revision 1 A conversion factor of 3.412141 btu / hr = 1 w is used to convert from btu / hr to w.After the uprate, 100% RTP = 2,737 MW. Therefore, Heat Balance Uncertainty

-One Steam Generator Power Random dQ Pos dQ Neg dQ (% RTP) (% RTP) (% RTP) (% RTP)100 0.25% 0.11% -0.08%Heat Balance Uncertainty

-One Steam Generator (Single Side of Interest)Power Random dQ Pos dQ Neg dQ (% RTP) (% RTP) (% RTP) (% RTP)100 0.21% 0.11% -0.08%Heat Balance Uncertainty

-One Steam Generator (Maintenance Mode)Power Random dQ Pos dQ Neg dQ (% RTP) (% RTP) (% RTP) (% RTP)100 0.41% 0.11% -0.08%Heat Balance Uncertainty

-One Steam Generator (Maintenance Mode)(Single Side of Interest)Power Random dQ Pos dQ Neg dQ (% RTP) (% RTP) (% RTP) (% RTP)100 0.35% 0.11% -0.08%CCN-IC-08001 Revision I Page 28 of 36 BG&E Calculation CA06945, Revision 1 The total heat balance for both steam generators is obtained with the following equations:

Total Pos dQ = -tJ Random dQ + Pos dQ Total Neg dQ = -( + Random dQ) + Neg dQ Total Heat Balance Uncertainty Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.469% -0.442%Total Heat Balance Uncertainty (Single Side of Interest)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.411% -0.384%Total Heat Balance Uncertainty (Maintenance Mode)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.696% -0.668%Total Heat Balance Uncertainty (Maintenance Mode)(Single Side of Interest)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.601% -0.574%CCN-IC-08001 Revision I Page 29 of 36 BG&E Calculation CA06945, Revision 1 9.5 Margin Available margin is obtained by adding the net uncertainty to the Appendix K power limit of 2754 MW and subtracting the rated thermal power of 2737 MW.Margin is expressed in %RTP by dividing the uncertainty, in MW, by 2737 MW. This is only computed for the cases where single-side of interest is used.Margin (Single Side of Interest)Appendix Rated Total Neg Margin Margin K Thermal dQ MW %RTP Limit Power MW 2754 2737 1 -10.5083 6.4917 0.2372%Margin (Maintenance Mode)(Single Side of Interest)Appendix Rated Total Neg Margin Margin K Thermal dQ MW %RTP Limit Power MW 2754 2737 -15.7085 1.2915 0.0472%9.6 Relative Contributions of Each Input to Overall Uncertainty Providing a relative contribution permits a method of combining random and bias components of uncertainty for each input, to evaluate the effect of each input on the overall calorimetric uncertainty.

Since this evaluation is primarily to support the License Amendment Request (LAR) for the Appendix K uprate, only negative bias uncertainties are considered for this evaluation.

First, the individual random uncertainty terms computed within Section 9.2.3 are multiplied by the square root of two, in order to make these random total values instead of single steam generator values. The terms are also divided by 1,000,000 to convert the values to units of Mbtulhr. The following table provides the presentation of those terms, along with a summary of the negative bias error terms. The total random uncertainties are computed below as well, for use later in this section.Total Uncertainties (Mbtu/hr)Type UmFW UmBD UhFS Uhs UhFWP UhFWT UhFwTd UPC UCF Random 30.7006 3.8887 0.2675 4.8656 0.1469 7.4658 1.4661 1.2065 Neg Bias 1.1507 6.4500 Total Random Uncertainties 33.6658 Mbtu/hr Total Random Uncertainties

-Single Side of Interest{

28.2552 Mbtu/hr CCN-IC-08001 Revision I Page 30 of 36 BG&E Calculation CA06945, Revision 1 The relative contribution of each random input to calorimetric uncertainty is given by the following expression.

U NPUT UINPUT U INPUT UNP ~UT .UCAL)This expression can be combined with the associated bias input to find the net contribution of that input to calorimetric uncertainty.

U INPUT-NET U INPUT + B INPUT The net contribution of each inputto net calorimetric uncertainty can then be found by the following expression.

UINPUTNET U INPUT-NET%

-U CAL-NET Note that for ease in computations, the dependent portion of the feedwater temperature uncertainty is included with the feedwater flow uncertainty in determining the relative uncertainty contribution for feedwater flow. This is appropriate because of the small contribution of the feedwater temperature to the feedwater flow value, and the small magnitude of the feedwater temperature in comparison to the non-dependent feedwater temperature uncertainty.

Therefore; this has little impact on the overall computations of the relative uncertainty contributions.

The net contribution of each input is summarized in the following table.Relative Contributions to Overall Uncertainty UINPUT (U'INPUT)

BINPUT (U'INPUT-NET)

UINPUT.NET%

INPUT Mbtu/hr Mbtu/hr Mbtu/hr Mbtu/hr Feedwater Flow + Dep Feedwater Temp 32.1667 30.7344 30.7344 74.478%Blowdown Flow 3.8887 0.4492 0.4492r 1.088%Feedwater 7.4658 1.6556 1.6556' 4.012%Feedwater Pressure 0.1469 0.0006 0.0006 0.002%Steam Pressure 5.1331 0.7827 1.1507 1.9334 4.685%Plant Computer Computation of Enthalpies, 1.2065 0.0432 0.0432 0.105%Other Inputs 6.4500 6.4500 15.630%Totals 33.6658* 7.6007 41.2665 100.000%* This is equal to the statistically combined (SRSS) total of the random terms.CCN-IC-08001 Revision I ,. Page 31 of 36 BG&E Calculation CA06945, Revision 1 Single Side of Interest: A similar approach is used to find the relative contribution of each input to calorimetric uncertainty for the single side of interest.For single side of interest, the relative contribution of each input to calorimetric uncertainty is given by 1.645 r UINPUT cL UINPUT UI~pu~ss) 1.96 UCAL U INPUT-NET(SS)

=U INPUT(SS)

+ B INPUT, and U 'INPUT-NET(SS)

UINPUT-NET(SS)%

=UCAL-NET(SS)

The relative contributions to calorimetric uncertainty using single side of interest are summarized in the following table.Relative Contributions to Overall Uncertaintv (Single Side of Interest)UINPUT (SS) (U'INPUT(ss))

BINPUT (U'INPUT-NET(SS))

UINPUT.NET(SS)%

INPUT Mbtu/hr Mbtu/hr Mbtu/hr Mbtu/hr Feedwater Flow + Dep .25.950 7.941 Feedwater Temp 26.9971 25.7950 25.7950_ 71.941%__"___

Blowdown Flow 3.2637 0.3770 _________

0.3770 1.051%Feedwater 6.2659 1.3895 ., 1.3895 3.875%Feedwater Pressure 0.1233 0.0005 .... ____ 0.0005 0.002%Steam Pressure 4.3082 0.6569 1.1507 1.8076 5.041%Plant Computer , ..Computation of , Enthalpies 1.0126 0.0363 -_ ..__,_ 0.0363 0.101%Other Inputs ., > , 6.4500 6.4500 17.989%Totals " >', 7 28.2552* 7.6007 35.8559 100.000%* This is equal to the statistically combined (SRSS) total of the random terms.10.0 SETPOINT DETERMINATION There areno setpoints associated with this calculation.

11.0 CHANNEL CHECK There is no channel check associated with this calculation.

CCN-IC-0800 1 Revision 1 Page 32 of 36 CCN-IC-08001 Revision I Page 32 of 36 BG&E Calculation CA06945, Revision 1 12.0 RESULTS Normal Operational Mode of Ultrasonic Flowmeters The tables below summarize the total uncertainty and relative uncertainty contributions of the parameters associated with the secondary calorimetric computation, for the normal operational mode of the UFMs, if credit is NOT taken for single side of interest, per Section 8.1 of Reference 7.1.5.Total Heat Balance Uncertainty Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.469% -0.442%Note: These uncertainties do NOT include the potential errors due to variations in steam quality. The steam quality errors would always be positive uncertainties; causing a higher power reading than actual. See Design Input 5.4.Relative Contributions to Overall Uncertainty UINPUT (U' INPUT) BINPUT (U' INPUT-NET)

U 0 INPUT Mbtu/hr Mbtu/hr Mbtu/hr Mbtu/hr Feedwater Flow + Dep Feedwater Temp 32.1667 30.7344 .30.7344 74.478%Blowdown Flow 3.8887 0.4492 0.4492 1.088%Feedwater 7.4658 1.6556 __,_ _-__1.6556 4.012%Feedwater Pressure 0.1469 0.0006 ;__"___ 0.0006 0.002%Steam Pressure 5.1331 0.7827 1.1507 1.9334 4.685%Plant Computer Computation of Enthalpies 1.2065 0.0432 , _ _ _0.0432 0.105%Other Inputs ________ .. __ ........ 6.4500 6.4500 15.630%Totals 33.6658* 7.6007 41.2665 100.000%* This is equal to the statistically combined (SRSS) total of the random terms.CCN-IC-08001 Revision 1 Page 33 of 36 BG&E Calculation CA06945, Revision 1 Normal Operational Mode of Ultrasonic Flowmeters (Single Side of Interest)The tables below summarize the total uncertainty, margin and relative uncertainty contributions of the parameters associated with the secondary calorimetric computation, for the normal operational mode of the UFMs, if credit is taken for single side of interest, per Section 8.1 of Reference 7.1.5.Total Heat Balance Uncertainty (Single Side of Interest)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.411% -0.384%Note: These uncertainties do NOT include the potential errors due to variations in steam quality. The steam quality errors would always be positive uncertainties; causing a higher power reading than actual. See Design Input 5.4.Margin (Single Side of Interest)Appendix Rated Total Neg K Terml d .Margin Margin K Thermal dQMWRT Limit Power MW MW %RTP 2754 2737 -10.5083 6.4917 0.2372%Relative Contributions to Overall Uncertainty (Single Side of Interest)UINPUT (SS) (U' INPUT(SS))

BINPUT ( INPUT-NET(SS))

UINPUT.NET(SS)%

INPUT Mbtu/hr Mbtu/hr Mbtu/hr Mbtu/hr 'Feedwater Flow + Dep Feedwater Temp 26.9971 25.7950 .... 25.7950 71.941%Blowdown Flow 3.2637 0.3770 _°- ,* 0.3770 1.051%Feedwater 6.2659 1.3895 _______:__

1.3895 3.875%Feedwater Pressure 0.1233 0.0005 ______-_-_

0.0005 0.002%Steam Pressure 4.3082 0.6569 1.1507 1.8076 5.041%Plant Computer , Computation of Enthalpies 1.0126 0.0363 0.0363 0.101%Other Inputs ___,_______ , 6.4500 6.4500 17.989%Totals _________

28.2552* 7.6007 35.8559 100.000%* This is equal to the statistically combined (SRSS) total of the random terms.CCN-IC-0 8001 Revision 1 Page 34 of 36 CCN-IC-08001 Revision I Page 34 of 36 BG&E Calculation CA06945, Revision 1 Maintenance Mode of Ultrasonic Flowmeters The table below summarizes the total uncertainty associated with the secondary calorimetric computation, for the maintenance mode of operation for the UFMs, if credit is NOT taken for single side of interest, per Section 8.1 of Reference 7.1.5.Total Heat Balance Uncertainty (Maintenance Mode)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.696% -0.668%Note: These uncertainties do NOT include the potential errors due to variations in steam quality. The steam quality errors would always be positive uncertainties; causing a higher power reading than actual. See Design Input 5.4.Maintenance Mode of Ultrasonic Flowmeters (Single Side of Interest)The tables below summarize the total uncertainty and margin associated with the secondary calorimetric computation, for the maintenance mode of operation for the UFMs, if credit is taken for single side of interest, per Section 8.1 of Reference 7.1.5.Total Heat Balance Uncertainty (Maintenance Mode)(Single Side of Interest)Power Total Pos dQ Total Neg dQ (% RTP) (% RTP) (% RTP)100 0.601% -0.574%Note: These uncertainties do NOT include the potential errors due to variations in steam quality. The steam quality errors would always be positive uncertainties; causing a higher power reading than actual. See Design Input 5.4.Margin (Maintenance Mode)(Single Side of Interest)Appendix Rated Total Neg Margin Margin K Thermal dQ MW %RTP Limit Power MW 2754 2737 -15.7085 1.2915 0.0472%CCN-IC-08001 Revision I Page 35 of 36 BG&E Calculation CA06945, Revision 1

13.0 CONCLUSION

S The total heat balance uncertainty developed in Section 9.0 and presented in Section 12.0 is reasonable for this type of calculation.

Information is provided in Section 12.0 for use in the License Amendment Request to support the Appendix K Power Uprate project.CCN-IC-08001 Revision 1 Page 36 of 36

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