ML17188A265
Text
LR-N17-0044 LAR H17-03 0
Cameron Document ER-1123NP, Bounding Uncertainty Analysis for Thermal Power Determination at Hope Creek Unit 1 Nuclear Generating Station Using the LEFM +
System, Revision 2 (Non-Proprietary Version)
Measurement Systems Cal don Ultrasonics Engineering Report: ER-1123NP Rev 2 BOUNDING UNCERTAINTY ANALYSIS FOR THERMAL POWER DETERMINATION AT HOPE CREEK UNIT 1 NUCLEAR GENERATING STATION USING THE LEFM++
SYSTEM Prepared by: David Markowski Checked by: Ryan Hannas December, 2016 ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
CAMERON A Schlumbargar Companv Measurement Systems
© 2016 Cameron.
Any reproduction or use of these Instructions, drawings, or photographs without the express written permission of an officer of Cameron is forbidden.
ER-1123NP Rev. 2 Ail Rights Reserved.
Printed in the United States of America.
Engineering Report No. ER-1123NP Rev 2 December 2016 Prepared by: DTM Reviewed by: __
CAMERON A Schlumbarger Compaov Measurement Systems Engineering Report: ER-1123NP Rev 2 BOUNDING UNCERTAINTY ANALYSIS FORTHERMAL POWER DETERMINATION AT HOPE CREEK UNIT 1 NUCLEAR GENERATING STATION USING THE LEFMv'+
SYSTEM
\\
Table of Contents
1.0 INTRODUCTION
2.0
SUMMARY
3.0 APPROACH 4.0 OVERVIEW
5.0 REFERENCES
6.0 APPENDICES A
Information Supporting Uncertainty in LEFMyl' + Flow and Temperature Measurements A.1 LEFMyl' + Inputs A.2 LEFMyl' + Uncertainty Items/Calculations A.3 LEFMyl' + Meter Factor Calculation and Accuracy Assessment A.4
[
]
A.5
[
B Total Thermal Power and Mass Flow Uncertainties using the LEFMv'+ System ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
Trade Secret &
Confidential Commercial Information
CAMERON A Schlumberger Company Measurement Systems Page 1
1.0 INTRODUCTION
The LEFMv' and LEFMv' +1 are advanced ultrasonic systems that accurately determine the volume flow and temperature of feedwater in nuclear power plants. Using a feed water pressure signal input to the LEFMv' and LEFMv' +: mass flow can be determined and, along with the temperature output are used along with plant data to compute reactor core thermal power. The technology underlying the LEFMv' ultrasonic instruments and the factors affecting their performance are described in a topical report, Reference 1, and a supplement to this topical report, Reference 2. The LEFMv' +, which is made of two LEFMv' subsystems, is described in another supplement to the topical report, Reference 3. The exact amount of the up rate allowable under a revision to 1 OCFR50 Appendix K depends not only on the accuracy of the LEFMv' +
instrument, but also on the uncertainties in other inputs to the thermal power calculation.
It is the purpose of this document to provide an analysis of the uncertainty contribution of the LEFMv' +
System [
] to the overall thermal power uncertainty of Hope Creek Unit 1 Nuclear Generating Station (Appendix B).
The uncertainties in mass flow and feedwater temperature are also used in the calculation of the overall thermal power uncertainty (Appendix B). [
] A detailed discussion of the methodology for combining these terms is described in Reference 3.
This analysis is a bounding analysis for the Hope Creek Unit 1 Nuclear Generating Station. This report is being published following the calibration of the spool piece, when a precise estimate of the uncertainty in the profile factor (also referred to as the profile correction factor, or the meter factor) is available. [
] The commissioning tests for the LEFMv' +, to be performed following its installation in the plant, will confirm that in fact, the time measurement uncertainties are within the bounding values used in this analysis.
ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information
Measurement Systems Page 2 2.0
SUMMARY
For Hope Creek Unit 1 Nuclear Generating Station, Revision 2 results are as follows:
- 1.
The mass flow uncertainty approach is documented in Reference 3. The uncertainty in the LEFMV' + 's mass flow of feed water is as follows:
o Fully Functional LEFMV' + system mass flow uncertainty is [
o Maintenance Mode LEFMV' + system mass flow uncertainty is [
- 2.
The uncertainty in the LEFMV' + feedwater temperature is as follows:
o Fully Functional LEFMV' + system temperature uncertainty is [
o Maintenance Mode LEFMV' + system the uncertainty is [
- 3.
The total thermal power uncertainty approach is documented in Reference 3 and Appendix B of this document. The total uncertainty in the determination of thermal power uses the LEFMV' + system parameters and plant specific parameters, i.e., heat gain/losses, etc. and is as follows:
o Thermal power uncertainty using a Fully Functional LEFMV' + system is [
o Thermal power uncertainty using a Maintenance Mode LEFMV' + system is [
ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Info Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Info Trade Secret &
Confidential Commercial Info
3.0 APPROACH Measurement Systems Page 3 All errors and biases are calculated and combined according to the procedures defined in Reference 4 and Reference 5 in order to determine the 95% confidence and probability value.
The approach to determine the uncertainty, consistent with determining set points, is to combine the random and bias terms by the means of the RSS approach provided that all the terms are independent, zero-centered and normally distributed.
Reference 4 defines the contributions of Individual error elements through the use of sensitivity coefficients defined as follows:
A calculated variable P is determined by algorithm f, from measured variables X, Y, and Z.
P = f (X, Y, Z)
The error, or uncertainty in P, dP, is given by:
dP= ql dX+ Ofl dY+ Ofl dZ CK yz or xz az XY As noted above, P is the determined variable--in this case, reactor power or mass flow-- which is calculated via measured variables X, Y, and Z using an algorithm f (X, Y, Z). The uncertainty or error in P, dP, is determined on a per unit basis as follows:
dP ={X ql. } dX +{y Ofl } dY +{
z ifl } dZ P
PCKyz X
POYxz Y
PazXY Z
where the terms in brackets are referred to as the sensitivity coefficients.
If the errors or biases in individual elements ( dX/X, dYIY, and dZIZ in the above equation) are all caused by a common (systematic) boundary condition (for example ambient temperature) the total error dP/ P is found by summing the three terms in the above equation. If, as is more often the case, the errors in X, Y, and Z are independent of each other, then Reference 4 and 5 recommends and probability theory requires that the total uncertainty be determined by the root sum square as follows (for 95% confidence and probability):
Obviously, if some errors in individual elements are caused by a combination of boundary conditions, some Independent and some related (i.e., systematic) then a combination of the two procedures is appropriate.
ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __ _
CAMERON A Schlumbargar Company Measurement Systems Page4 4.0 OVERVIEW The analyses that support the calculation of LEFMV' + uncertainties are contained in the appendices to this document. The function of each appendix is outlined below.
Appendix A.1, LEFMv" + Inputs This appendix tabulates dimensional and other inputs to the LEFMV' +. The spreadsheet calculates other key dimensions and factors from these inputs (e.g., the face-to-face distance between pairs of transducer assemblies), which is used by the LEFMV' +for the computation of mass flow and temperature.
Appendix A.2, LEFMv" + Uncertainty Items/Calculations This appendix calculates the uncertainties in mass flow and temperature as computed by the LEFMV' + using the methodology described in Appendix E of Reference 1 and Appendix A of Reference 33, with uncertainties in the elements of these measurements bounded as described in both references4. Reference 5 provides a detailed comparison of the equations used in Appendix A of Reference 3 and this report. The spreadsheet calculations draw on the data of Appendix A.1 for dimensional information. It draws from Appendix A.4 for [
Appendix A.3, Meter Factor Calibration and Accuracy Assessment The calibration test report for the spool piece(s) establishes the overall uncertainty in the profile factor of the LEFMV' +.The elements of the profile factor uncertainty include [
Appendix A.4, [
Appendix A.5, [
[
ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information Trade Secret &
Confidential Commercial Information
CAMERON A Sohlumberger Company Measurement Systems Page 5 Appendix B, Total Thermal Power and Mass Flow Uncertainties using the LEFM./+ System The total thermal power uncertainty due to the LEFM.f + is calculated in this appendix, using the results of Appendix A.2, A.4 and A.5. Plant supplied steam conditions (which enter into the computation of errors due to feedwater temperature) are used for this computation. This appendix also computes the fraction of the uncertainty in feedwater temperature that is systematically related to the mass flow uncertainty.
ER-1123NP Rev. 2 Prepared by: D TM Reviewed by: __ _
CAMERON A Schlumbargar Company
5.0 REFERENCES
Measurement Systems Page 6
- 1)
Cameron Topical Report ER-80P, "Improving Thermal Power Accuracy and Plant Safety While Increasing Operating Power Level Using the LEFM Check System", Rev. 0.
- 2)
Cameron Engineering Report ER-160P, "Supplement to Topical Report ER 80P: Basis for a Power Uprate with the LEFM System", May 2000.
- 3)
Cameron Engineering Report ER-157(P-A), "Supplement to Cameron Topical Report ER-80P:
Basis for Power Up rates with an LEFM Check or an LEFM CheckPius", dated May 2008, Revision 8 and Revision 8 Errata.
- 4)
ANSI/ASME Power Test Code 19.1-2013, Measurement Uncertainty.
- 5)
Cameron Engineering Report ER-972, "Traceability Between Topical Report ( ER-157P-A Rev. 8 and Rev. 8 Errata) and the System Uncertainty Report", Rev. 2, March 2012.
- 6)
ASME Steam Tables, Sixth Edition.
- 7)
ER-1132 Rev.1, "Meter Factor Calculation and Accuracy Assessment for the LEFMCheckPius Meters at Hope Creek Unit 1 ", dated December 2016.
- 8)
ALD-1164 Rev 2, Hydraulic Calibration Plan for Hope Creek Unit 1.
ER-1123NP Rev. 2 Prepared by: DTM Reviewed by: __
CAMERON A Schlumborger Com pan Appendix A Appendix A.1, LEFM¥ + Inputs Appendix A.2, LEFM¥ + Uncertainty Items/Calculations Appendix A.3, Meter Factor Calibration and Accuracy Assessment Appendix A.4, [
Appendix A.5, [
ER-1123NP Rev. 2 Prepared by: DTM Measurement Systems Page 7 Reviewed by: __
Trade Secret &
Confidential Commercial Information
Appendix A.1 LEFM¥ + Inputs No attachment to follow as Appendix is Proprietary in its Entirety
Appendix A.2 LEFMY' + Uncertainty Items/Calculations No attachment to follow as Appendix is Proprietary in its Entirety
Appendix A.3 LEFM,( +Spool Piece(s) Meter Factor Calculation and Accuracy Assessment Reference Cameron Engineering Report ER-1132 Rev.1, "Meter Factor Calculation and Accuracy Assessment for the LEFMCheckPius Meters at Hope Creek Unit 1 ", dated December 2016
Appendix A.4 No attachment to follow as Appendix is Proprietary in its Entirety Trade I
Secret &
Confidential Commercial Information
Appendix A.5 No attachment to follow as Appendix is Proprietary in its Entirety I
Trade Secret &
Confidential Commercial Information
Appendix B Total Thermal Power and Mass Flow Uncertainty using the LEFMv'+ System No attachment to follow as Appendix is Proprietary in its Entirety
Caldon@ Ultrasonics Customer Service & Technical Support 1000 MCCLAREN WOODS DRIVE CORAOPOLIS, PA 15108 Tel1+ 724 273 9300 Fax 1+ 724 273 9301 Valves & Measurement Sales measurement@c-a-m.com Service ms-servlces@c*a-m.com www.cameron.slb.com HEADQUARTERS (HOUSTON, TX, USA)
CANADA LATIN AMERICA INDIA ASIA PACIFIC
+1.281.582.9500
+1,403.291.4814
+54.11.5070.0266
+91.9903822044
+603.7954.0145 MIDDLE EAST & NORTH AFRICA
+971.4802.7700 EUROPE, CASPIAN, RUSSIA
+44.1892.518000
& SOUTH AFRICA