ML082050396
ML082050396 | |
Person / Time | |
---|---|
Site: | Duane Arnold |
Issue date: | 07/17/2008 |
From: | Duane Arnold |
To: | Office of Nuclear Reactor Regulation |
References | |
NG-08-0551 CAL-E95-006, Rev 4 | |
Download: ML082050396 (23) | |
Text
Attachment FPL Energy Duane Arnold Calculation CAL-E95-006, Revision 4 "4.16 KV Essential Bus Degraded Voltage Setpoint Calculation"
DOCUMENT NUMBER: CAL-E95-006
Title:
4.16 KV ESSENTIAL BUS DEGRADED VOLTAGE SETPOINT CALCULATION Contents:
REV DATE REVISION DFT. CHK. ENG. APR,
- 1. 5/22/95 ISSUED PER DDC-2792 DA TAK ENC CN 2 11/18/98 REVISED PER DDC-3656 DA TAK ENC JE 3 9/5/02 REVISED PER DDC-4404 DA JAH ENC JE 4 i0", REVISED PER ECP- 1846 TAK DA
DESIGN VERIFICATION
SUMMARY
REPORT Sheet 1 of 4 DOCUMENTTYPE/NUMBER: CAL-E95-006 REVISION 4 VERIFIER: Tom Below DISCIPLINE: Elec/I&C METHOD OF VERIFICATION:
Z DESIGN REVIEW [E ALTERNATE CALCULATIONS El QUALIFICATION TESTING Design Inputs Considered:
UFSAR, M&TE Database (V148), STP 3.3.8.1-02, T3.3.8.1-01, DGC-E11I, Startup Package for 4.00, ITP for Degraded Voltage Relays, 12-17-1997 through 11-16-2006, ACP1408.8 Document(s) Reviewed:
CAL-E95-006, DGVSMAZ.XLS Conclusions & Comments:
te c,.,,,,V%, V,,..
/- oo5 'P£--6.
\ r Date
-jo----)
Dtei Date Team Leader NG-008Z-1 Rev 10
DESIGN VERIFICATION COMMENT SHEET Sheet 2 of 4
£)OCUMENT TYPE/NUMBER:' CAL-E95-006 REVISION: 4 LINE/ PREPARER'S [VERIFIER'S ITEM NO I VERIFIER'S COMMENTS RESOLUTION [RESOLUTION Coversheet should reference ECP Added ECP 1846
- , and Design Review.
Ace red Index Information should include The intent was to either all of the references utilized include only those 61ce~AA)r or reference section 2.0 of the calc. references which Currently 2 of 17 inputs listed.. contain values that if changed may affect the results of calculation. Addition documents have been added to the list.
Index Information should include Added ITP database.
the excel file/ITP data used for SMAZ as an input.
Index Information should include Added Microsoft Excel Microsoft Excel if used for SMAZ to list. Tiljo analysis.
2.7 UFSAR rev out of date, see Changed to current item #8 for more details. ~Rev.
2.17 ITP reference appears to have This was corrected in transposed switch 1 & 2 during the the Excel spreadsheet AerepiT'lc 2005 and 2006 calibrations, see to ensure that correct item #17 for more details. data was used for the evaluation.
4.2 references the VOM from 2.6, PWR 40325 has been which is V148 (Fluke M187) initiated to revise STP Accuracy +/-0.4% + 0.40V or 3.3.8.1-02 to require 0.88Vac. Section 7.3 lists a Fluke the use of a Fluke 8062A (V143), which has an 8062A accuracy of +/-0.5% + 0.1V or 0.7Vac. Verify that STP3.3.8.1-02 is updated for that test equipment.
4.5 references chapter 7 of the Changed to reference UFSAR, the only reference I could section8.3 of UFSAR A find for the minimum operating instead of chapter 7.
voltages was in UFSAR 8.3 (rev 19, 09107). The values listed are correct.
NG-008Z-2 Rev 10
9 4.5 states 95.3% as the recovery Corrected value and voltage. That will actually be added reference to 95.6%. Include the reference CAL-E07-003.
electrical calc number where this value comes from. Also add to the reference section, Calc # not * "1-/iA, available at this time.
10 6.2 clarify AS-LEFT TRIP may be Added that the trip within +/-0.2 volts of the TRIP. may be set at any Does that mean 108.3 to 109? value between those TRIP is defined as a range not a specified and that the single value. ALT must be within
+/-0.2 of the selected trip value.
11 7.3 cltc = 0.1
- 0.7 * (40 -28), Added discussion to where did the 40 - 28 value come section 7.3 on how from? According to V143 M&TE the temperatures are data sheet, the temperature determine.
degrades 0.1
- accuracy / 0C in excess of 5 0C limit. (tol doubles when >15'C from cal temp) I see no data on what the cal temp was, nor what temp the readings are assumed. Ref 4.1 provides range of 75-104°F (23.9-40'C) 12 7.5.1 states AN & AT in multiple Added statement that formulas, should those be AL, or do because the normal those need to be added to the and accident 7/24/.
acronym list? environmental conditions are the same that AN, AT, and AL are equal.
13 7.5.1 UAV & UNTSP are affected Recalculated affected Ac. c O by the change to recovery voltage, values.
see item #9.
14 7.5.1 LER avoidance for UNTSP Calculated UNTSP1 needs to be reevaluated with new considering LER values. May not be less than avoidance which Arse/dY LNTSP anymore. resulted in UNTSP1 greater than LNTSP1.
Therefore, will include calculation of UNTSP1 in calculation.
15 8.1 value for C appears incorrect. Corrected this value.
C1 = 0.7, Cstd = 0.175 therefore Confirmation value C = 2/3 (0.72 + 0.1752)112 = 0.481 still less than one with not 0.754: Is there an alternate zero drift. Therefore, NG-008Z-3 Rev 10
calculation? drift assumption in 4.4 will still be used.
16 8.1 I verified all within standard OISD ave, Std Dev, rounding deviations. Des Sqrt and sqrt (SMAZ)
(SMAZ) and Confirmation Ratio are remain the same with all correct assuming C = 0.754. change to C.
See item #15 for more details. However, (~ e404 confirmation number goes up from .486 to
.621.
17 8.1 spreadsheet DGVSMAZ.XLS Verified values to be appears to have the correct values correct.
TO'~&A for OISD Drift values, but please verify. All calculations dependent on these values.
18 6.1 & 6.2 values will need to be Values recalculated.
recalculated after all items resolved.
Verifier: Tom Below f2/7A0 Date: t-1Y5ff Preparer; Eric, hristo er Date: 0-7
-1 r NG-008Z-4 Rev 10
DUANE ARNOLD ENERGY CENTER ENGINEERING CALCULATION COVER SHEET Sheet 1 of 2 Calculation Number CAL-E95-006 (If Required) 4.16 kV ESSENTIAL BUS DEGRADED VOLTAGE SETPOINT CALCULATION Calculation Title Project
Description:
j AR No.
Assignment/ DDC No.
Implementation Document ECP No. ECP 1846*
EMA No.
Other Doc. No.
Method of Verification: Z 'Design Review F] Alternate Calculation LI Qualification Testing 6
5 Revision Prepare #Date- erified/Dt Approved/Date
Sheet 2 of 2 INDEX INFORMATION Calculation Number CAL-E95-006 (If Required) r Vendor Vendor Name Document No. Rev. No.
Document (if applicable)
Applicable SUS Nos.
4.00 1 .
Applicable Ec uipments IDs 127-AIBUSIA3 127-B1BUS1A3 127-AIBUS1A4 127-B1BUS1A4 127-A2BUS1A3 127-B2BUS1A3 127-A2BUS1A4 127-B2BUS1A4 Input Documents VENDOR MANUAL Startup package for CAL-E07-003 ITP database B455SVR system 4.00 UFSAR QUAL-SC101 Technical Specifications Output Documents STP 3.3.8.1-02 TS T3.3.8.1-01 __
UFSAR Topics Degraded Voltage --Essential Buss Standby Transformer Software & Version Microsoft Office Excel 2003 (11.8105.8107)
SP2 Comments I
CALCULATION REVISION
SUMMARY
SHEET IES UTILITIES INC.
DUANE ARNOLD ENERGY CENTER Document Number: CAL-E95-006 Rev. Affected Pages Reason for Revision I.all pages new issue 2 page 2 Add reference 2.17.
2 page 3 Add acronym OISD.
2 page 4 In section 4.2 change ALT from +/-0.25 to +/-0.2.
2 page 5 Change 4.4 to state that drift is based on ITP data using SMAZ analysis, And that AL and VD for the timers is based on the standard deviation of the OISD.
Change 4.5 to state that AL is per the resolution of AR971707971707 Also change to state that an upper limit is needed and that it will be determined from the NTSP of 111 volts. Change basis for AL from 86% required to operate motor starters to 80%
as required for MOV's to operate. Per rev 13 of UFSAR section 8.2, motor starters will operate' down to 67%. MOVs then have the most limiting requirements.
2 page 6 Change 4.6 to state that the upper limit values of the timer will be determined based on an AV of 8.5 seconds and that the lower values will be determined from an NTSP of 8.0 seconds.
2 page 7 Values changed to reflect revisions.
2 page 9 Redefine AL and DL per revised section 4.4 2 page 10 and 11 Recalculate CL based on new ALT in section 7.3 Remove calculation from 7,5 and replace with 7.5.1 Calculation Used and 7.5.2 Calculation.
2 page 12 and 13 Add section 8.0, 8.1 and 8.2. These section contain the SMAZ analysis.
3 Page 1 Change table in Purpose to reflect current TS surveillance requirements. Change revision of TS in Reference 2.2.
3 Page 9-1 1 Correct typographical errors identified in AR 30377 and clarify Z values used.
3 All pages Remover signature block and add calculation number, rev., number and title at top of page.
4 All pages Incorporated reduced calibration error based on Sheet lof 2
use of more accurate voltmeter. Calculated new drift value based on last 10 years of calibration data. Removed calculation of relay values from table and moved to section 7.5.1.
NG-104Z Rev. 1 Sheet 2 of 2
CAL-E95-006 Rev. 4, 4.16 kVEssential Bus Degraded Voltage Setpoint Calculation 1.0 PURPOSE Based on a 15 month surveillance interval (conservatively chosen as 1 yr. + 25% grace period) determine the Allowable Value and NTSP for the following 4.16kV Emergency Bus Degraded Voltage relays.
Instrument Surveillance Table Requirement 127-AlBUSlA3,4 3.3.8.1.3 3.3.8.1-1 127-A2BUSlA3,4 3.3.8.1.3 3.3.8.1-1 127-BlBUSlA3,4 3.3.8.1.3 3.3.8.1-1 127-B2BUSlA3,4 3.3.8.1.3 3.3.8.1-1 The purpose of the degraded voltage relays is to prevent operation of Safety Systems and components at voltages below which loss of safety systems or damage to safety related equipment or components could occur.
2.0 REFERENCES
2.1 GE report NEDC-31336, GE Proprietary Information, GE Instrument Setpoint Methodology 2.2 Operation License and Technical Specification for DAEC-i, rev 223, 8/1/1998 2.3 QUAL-SCI01, rev 7, DAEC Environmental and Seismic service Conditions, 2.4 VENDOR MANUAL B455SVR, BBC Brown Boveri Inc. ITE Single Phase Voltage Relays 2.5 M&TE data base 2.6 STP-42B030-A rev. 6 and 3.3.8.1-02*
2.7 DAEC Updated Final Safety Analysis Report, rev. 19, 9/07 2.8 Letter IE-77-1624 dated 8-30-77 from Mr. Lee Lui of IES to Mr.
George Lear of the NRC.
2.9 BECH-E023 rev. 22 2.10 ,DGC-E111 rev. 0, (GE Report GE-NE-901-007-0292), Setpoint Calculation Guidelines for DAEC 2.11 BECH-EO06<l> rev. 24, Single Line Meter and Relay Diagram 480V System Sheet 1,of 12
CAL-E95-006 Rev. 4, 4.16 kV.Essential Bus Degraded Voltage Setpoint Calculation Relay Diagram 4160V 2.12 BECH-E005 rev. 9, Single Line Meter and System Essential Switchgear IA3 and 1A4 2.13 BECH-E104<25A> rev. 3; <26A> rev. 4, 4160V and 480V System Control and Protection 2.14 NRC Letter to Iowa Electric dated June 2, 1977, to Mr. Duane Arnold, from Mr. George Lear 2.15 Startup package for system 4.00 2.16 ACP 1408.8 rev. 6, Control of Measurement and Test Equipment 2.17 ITP data for degraded voltage relays between the dates 12-17-97 and 11-16-06.
2.18 CAL-E07-003 Rev. 0 3.0 ACRONYMS U. standard deviation AFT as-found tolerance AL analytical limit AN loop accuracy under normal environmental conditions AL loop/channel accuracy AT loop accuracy under normal accident conditions ALT as-left tolerance ANSI American National Standards Institute APED Atomic Power Equipment Department AS actual setpoint AV allowable value C degrees Celsius ch (instrument) channel CL loop/channel calibration error DL loop/channel drift 0MM digital multimeter ED elementary diagram EMI electro-magnetic interference degrees Fahrenheit FCD functional control diagram FS, full scale g acceleration of gravity Hz hertz IDS instrument data sheet LCO limiting condition for operation LOCA loss of coolant accident LOOP loss of offsite power M metrology lab (accuracy of calibration standards)
MCC motor control center M&TE maintenance and test equipment MDP maintenance department procedure Mrad megarad (i06 rads)
Sheet 2 of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation NTSP nominal trip setpoint OL operationallimit OISD observed in-service difference P&ID piping and'instrument diagram PCIS primary containment isolation system PD process diagram PEA primary element accuracy PMA process measurement accuracy PPD purchase part drawing PT potential transformer RFI radio-frequency interference RHR. residual heat removal STA; spurious trip avoidance STP surveillance test procedure TID total integrated dose (gamma equivalent)
VA vendor accuracy Vac volt a-c VD vendor drift Vdc volt d-c VOM volt-ohm meter ZPA zero period acceleration 4.0 ASSUMPTIONS 4.1 Per Reference 2.1 the function time of the relays in this channel is such that the relays are subjected to expected (normal) environments (75 to 104 0 F, <1.0(10) 3, <0.5g ZPA per Reference 2.3) which are within the design and qualification characteristics of the devices (20 to 400C (68-104 0 F),>Gg ZPA per Reference 2.4). Hence the instrument error expressions are contained herein are assumed to apply as random errors to the overall environmental and seismic envelop to which the relays are expected to be subjected. Error effects resulting from power supply variations, EMI/RFI, and cable resistance are assumed negligible for bi-stable electro mechanical devices such as relays.
4.2 Error effects of maintenance procedures are covered by channel calibration accuracy determined bythe methods outlined in Reference 2.10 utilizing data from Reference 2.5 and 2.6. The VOM referred to in Reference 2.6 is considered to have negligible error effects in measuring contact change-of-state only. The reading will be conservatively assumed to be 120. Vac. The ALT, will be established as +0.2 VAC. Calibration errors are assumed to be 3a errors. The calibration standard is assumed to be 1/4 of the M&TE equipment accuracy, per Reference 2.16.
For the time delay, the ALT will be considered to be +0/-0.2 seconds. Operator actuation time of the stopwatch is conservatively chosen as 0.5 seconds.
Sheet 3 of 12 I '
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation 4.3 The Primary Element for the relays is a potential transformer.
Per-Reference 2.15, the worst case.PT's turns ratio measured during startup testing was 34.844:1. The PT design turns ratio is 35:1 (4200:120).,This corresponds to an error of 0.446%.
Therefore the PEA is conservatively chosen as 0.5% which is equivalent to 0.6 volts (0.5%-*,120volts). The voltage drop in the measurement loop is minimal and there is no inherent Process Measurement Accuracy which may be considered independent of relay instrument accuracy. *Therefore, PMA is assumed negligible.
4.4 Channel instrument drift is determined by evaluating Reference 2.17 data per the SMAZ method in Reference 2.1 Confirmation ratios of *1 shows conformance between design allowance and raw field data from Reference 2.17. The SMAZ method extracts the drift value form the actual calibration data based on the relay accuracy and the calibration error. Based on this method a drift value of 0 results in a confirmation ratio of less than l. This suggests that the relays are performing significantly better than assumed in the calculation. However, to provide additional conservatism a drift value of two standard deviations of the OISD will be used. One standard deviation of the OISD for a 12 month calibration interval is 0.32 VAC. Therefore, a drift value of 0.64 volts will be assumed. To account for the 25% allowance for on the surveillance interval, the drift will be adjusted by
( 1 5 / 1 2 ) /2 as documented in Ref. 2.1.
SMAZ analysis of the ITP data for the timers shows that one standard deviation for the OISD is 0.185 seconds (for calibration intervals greater than 9 months. The OISD include all uncertainties, such as Vendor Accuracy, drift and calibration errors. To be conservative, VD will be assumed to equal two standard deviations of the OISD or 0.37 seconds 4.5 Per resolution of AR971707971707 the AL for the degraded voltage setpoint is 89.9% of the nominal essential bus voltage of 4160 v.
This will ensure that all safety loads will receive their required minimum operating voltage of 70% (of nominal 460 volts) for motors and 80% for MOV's (of nominal 460 volts), as stated in chapter 8 section 8.3 of the UFSAR. Degraded voltage is measured off a 120 volts system, therefore, the Lower Analytical Limit (LAL) is.106.86 volt J(120*(4160/4200)*89.9%),
The degraded voltage relays also have an important function on the reset (increasing voltage) which is to ensure that the relays resets following a degraded voltage transient shorter than 8.5 seconds. It is important that these relays reset to prevent an inadvertent degraded voltage signal corresponding to a Loss of offsite power (LOOP). The Upper Analytical Limit (UAL) will be the voltage to which the essential buss recovers under worst case grid conditions following a DBA-LOCA. Reference 2.18 has established that essential buss voltage will recover to 95.5% of nominal voltage. As such, the relay must reset prior to this Sheet 4 of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation value. 95.5%- buss voltage corresponds to 113.5 VAC on the-.'
secondary side (95.5%*120*(4160/4200)). These relays have a reset deadband of +3 percent of the trip setting, per reference 2.4.
Using the UAL as the trip setting, the reset deadband becomes 3.4 volts (3%*113.5). The deadband will be considered a BIAS and applied only to the upper values.
4.6 Per Reference 2.14 the degraded-voltage time delay is to be set to prevent equipment damage due to prolonged operation at degraded voltage conditions, and to prevent spurious transfer of power from the offsite power source to the onsite power source.
However, no analysis, on which to base an AL, has been done to determine the affects of prolonged degraded voltage on equipment.
An extensive analysis would have to be done to determine the affects of prolonged operation at degraded voltage. The current upper time delay limit of 8.5 second is conservative compared to other utilities, and is judged to be adequate, and will be considered the UAV. The UAL, UNTSP, and AS will be determined based on this UAV. The current lower limit of 8.0 seconds will be considered the LNTSP. The LAV, LAL and ASmin will be determined based on this value.
5.0 METHODOLOGY This calculation is performed in accordance with Reference 2.1 and 2.10.
6.0 CONCLUSION
6.1 The AL, AV, and NTSP (in volts and seconds) are as follows:
UAL UAV UNTSP LNTSP LAV LAL 120v 113.5 109.2 108.7 108.5 108.0 106.86 scale 4160v 3972.5 3822 3804.5 3797.5 3780 3740 scale
% Nominal 95.49% 91.88% 91.45% 91.29% 90.87% 89.90%
Timer 9.26 8.5 8.4 8.0 -7.92 7.16 I.
6.2 This calculation will support device settings and tolerances within the following limits:
relay The TRIP may be set at any value between 108.5 and 108.7 volts inclusive.
The AS-FOUND TRIP may be between 108 and 109.2 volts inclusive.
The AS-LEFT TRIP must be within +/-0.2 volts of the selected TRIP value.
Sheet 5 of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation timer The TRIP may be 8.2 seconds.,.
The AS-FOUND TRIP may be between 7.92 and 8.5 seconds.
The AS-LEFT TRIP may be within +/-0.2 seconds of the TRIP.
7.0 CALCULATION 7.1 :Channel Description Isolate 1A3 from offsite power S127-BIBUSIA3
-' 127-AIBUSIA4 _3.
127 -A2BUSIA4 Isolate 1A4 from offsite power Logic is one-out-of-two-twice for each bus.
BBC Brown Boveri Inc., Single Phase Voltage Relays Model No.
211B4175, Type ITE-27D, Time Delay range 0-10 sec., Voltage range 6.0-110 volts.
Sheet 6. of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation
- 7.2 Channel Instrument Accuracy Per Reference 2.4 and 2.10 and Assumption 4.4.
Because the normal and accident environmental conditions are the same:
AN =AT AL VD 0.64 volts (2a) for 12 months DL = (15/12)1/2*0.64 volts = 0.72 volts (2a) for 15 months Time Delay AL = 10%*8.5 = 0.85 seconds (2a)
VD 0.37 seconds (2a) for 12 months DL = (15/12)1/2*0.37 = 0.42 seconds (2cr) for 15 months 7.3 Channel Calibration Accuracy.
Per Reference 2.5 and Assumption 4.2 Calibration Accuracy for Voltage setting Fluke DMM 8062A cl " 0.5%*120 + 0.1 = 0.7 Per the M&TE database, the Fluke 8062A has an additional error due to temperature equal to 0.l*accuracy/°C. The database also states that there is no accuracy degradation within 5'C of the temperature at which the Fluke is calibrated. Per ACP 1408.8, M&TE equipment is calibrated between 21 0 C and 25 0 C. The relays are located in the essential switchgear rooms which have normal temperatures of 75°F to 104 0 F (23.9°C to 40°C). The worst case error would then occur if the Fluke were calibrated-at the minimum allowed temperature of 21 0 C and used, to calibrate.the relays when the switchgear room is at 40 0 C. Considering. that, there is no accuracy, degradation within 5°C of the calibration temperature the affective temperature for the error, is 26 0 C to 40 0 C.
Sheet 7 of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation cltc = 0.l*0.7*(40-26) = 0.98 Cstd =0.7/4 = 0.175 for ALT =.0.2 CL = 2/3* (0.72 + 0.982 + 0.1752 + 0.22)1/21 0.822 Calibration Accuracy for Time Delay Digital Stopwatch cl = 0.2 sec/min
- 8.5sec/60 = 0.03 sec cstd = .03/4 = 0.01 sec ALT = 0.2 sec operator actuation time = 0.5 sec CL =2/3(0.032 + 0.012 + 0.22 + 0.52)1/2 = 0.36 sec 7.4 PMA and PEA Per Assumption 4..3.
PMA 0 PEA = 0.6 7.5 NTSP and AV Consideration 7.5.1 Degraded Voltage Relay Calculation Per Reference 2.10 and Assumption 4.5.
Per Assumption 4.5, the Lower Analytical Limits (LAL) is 106.86 VAC. The Lower Allowable Value and Lower Nominal Trip Setpoint LNTSP) are calculated as follows:
LAV = LAL + (1.645/2) (A, 2 + CL2 + MA2 + PEA2)1/2 LAV = 106.86 + (1.645/2)(.22 + .8222. + 02
+ 62)1/2 LAV - 107.713 VAC round up to 107.8 VAC 2
LNTSP LAL 2
+ (1.645/2) (AT +DL + CL + PMA + PEA2)1/
LNTSP = 106.86 + (1.645/2)(.2 + .722 + .8222. + 02 6 LNTSP = 107.898 VAC round up to 107.9 VAC Both of these values are less than the Tech. Spec. Allowable Value of 108 VAC, established in revision 3 of this calculation.
As such, the LNTSP will be calculated using the LER avoidance recommendation presented in Ref. 2.1, where Z equals 0.81, which provides a 90% probability of LER avoidance.
Sheet 8 of 12
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation 2 2 LNTSP1 = LAV + (Z/2) (AN + CL + DL2)1/2 LNTSP1 = 108 + (.81/2).(0.22 + 0.8222 +.0.722) 1/2 LNTSP1= 108.45 VAC Round up to 108.5 VAC The Upper Analytical Limit (UAL), per Assumption 4.5 is 113.5 VAC. The Upper Allowable Value is then calculated as follows:
UAV = UAL - (1.645/2) (AN2 + CL2 + PMA' + PEA2 )'/ 2
- BIAS UTAV = 113.5 - (1.645/2) (.22 + .8222 + 02 + .62)1/2 - 3.4 UAV = 109.247 VAC round down to 109.2 VAC The Upper Nominal Trip Setpoint is:
UNTSP = UAL -(1.645/2) (AT2 + DL2 + CL2 + PMA 2 + PEA2 )'/ 2 - BIAS UNTSP = 113.5 - (1.645/2) (.2' + .722 + .8222 + 02 + .62)1/2 - 3.4 UNTSP = 109.062 VAC round down to 109.0 VAC To ensure adequate margin between the UAV and UNTSP, UNTSP1 will be calculated to considering the Ref. 2.1 recommendations for LER avoidance.
2 2 1 UNTSP1 = UAV - (.81/2) (AN + DL + CL2) /2 UNTSP1 = 109.2 - (.81/2) (0.22 + 0.722 + 0.8222)1/2 UNTSP1 = 108.75 VAC round down to 108.7 VAC 7.5.2 Timer Calculation The equations used to determine the Timer settings are as follows:.
UNTSP = UAL (1.645/2) (AT2 + DT2 + CL2 + PMA2 + PEA 2 )'/ 2 BIAS UNTSPLER = UAV - (.81/2) (AN2 +
2 CL + DL2)I/2 ASmax = UNTSPLER ALT (for switch)
ASmax = UNTSP ALT (for the timer)
ASmin = LNTSP + ALT (for the timer)
ASmin = LNTSPLER + ALT (for switch LNTSPLER = LAV + (.81/2) (AN 2
+ CL2 + DL2)1/2 LNTSP = LAL + (1.645/2) (AT2 + DT2 + CL2 + PMA2 + PEA2 )'/ 2 + BIAS LAV =. LAL + (1.645/2) (AT2 + CL2 + PMA2 + PEA2 )1/ 2 + BIAS The results are contained in the following table.
Sheet 9 of 12
- 1*'~ I' CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation INSTR ID D timer Loop Accuracy under Trip conditions (ArL) 0.850 Loop Accuracy under Normal conditions (ANL) 0.850 Loop Drift (DL) 0.420 Positive As-Left-Tolerance (+ ALT) 0.200 Negative As-Left-Tolerance (- ALT) 0.200 Loop Calibration Error for +ALT (+CL) 0.360 Loop Calibration Error for -ALT (-C) 0.360 Process Measurement Accuracy (PMA) 0.000 Primary Element AccuracyPEA)--_ 0.000 BIAS 0.000 reset . 0.000 Z for LER Avoidance 0.810 Upper Operational Limit (UOL) n/a Upper Analytical Limit (UAL) 9.260 Upper Allowable Value ((UAV, Tech Spec Value)_ 2 8.500 Upper Nominal Trip Setpoint for Spurious Trip Avoidance (UNTSPSTA) '_* 2 n/a Upper Nominal Trip Setpoint (UNTSP) 2 8.420 Upper Nominal Trip Setpoint for LER Avoidance (UNTSPLER) .2 8.080 Maximum Actual Setpoint (ASax) 2 8.220 Minimum Actual Setpoint (ASmin) 121 8.200 Lower Nominal Trip Setpoint for LER Avoidance (LNTSPLER) 2 8.340 Lower Nominal Trip Setpoint_(LNTSP) 2 8.000 Lower Nominal Trip Setpoint for Spurious Trip Avoidance (LNTSPTA) 2 n/a Lower Allowable Value (LAV) 2 7.920 Lower Analytical Limit (LAL) 7.160 Lower Operational Limit (LOL) n/a Sheet 10 of 12
CAL-E95-006 Rev. 4, 4,16 kV Essential Bus Degraded Voltage Setpoint Calculation 8 .0 SMAZ Summary 8.1 Summary for Relay SMAZ Analysis for BBC Brown Bovari Type ITE-27D Relays A (2 sig) C (2 sig) D 12 Mo Results Des Sqrt(SMAZ) (volts) 0.200 0.481 0.720 0.515 OlSD Count 80.000 OISD Avg (volts) -0.007 OISD Std (volts) 0.320 OISD Sqrt(SMAZ) (volts) 0.320 Confirmation Ratio 0.621 1.00 OISD Drift 0.80.1 0.60 $
0.40- $
S0.20 -
-. JZffa Jan-98 JV-99 Jan-00 J-01 -97 Jan02 An-03 Jmn-04 Ja 5 Jan-05 Jn-07 Jar -08
-0.40 $ *
-0.60
-0.80 -
-1.00 The equations used for the SMAZ calculation are:
OISD SMAZI (OISD Avg2 + OISD Std2 )"
Des SMAZm = (2*(A/2) 2
+ 2*(C/2) 2 + (D/2) 2 )ý,
where A, C and D are 2 sigma values and C = 2/3*(Ci 2
+ Cstd 2)1 Confirmation Ratio = OISD SMAZ56/Des SMAZY' This analysis is based on data from the ITP Database using data for calibration performed from 12/17/97 to 11/16/2006.
Sheet 11 of 12 I
CAL-E95-006 Rev. 4, 4.16 kV Essential Bus Degraded Voltage Setpoint Calculation 8.2 Summary for Timer SMAZ Analysis for BBC Brown Bovari Type ITE-27D Relays A (2 sig) C (2 sig) D 12 Mo Results Des Sqrt(SMAZ) (seconds) 0.850 0.360 0,370 0.678 OISD Count 55.000 OISD Avg (seconds) -0.005 OISD Std (seconds) 0.185 OISD Sqrt(SMAZ) (seconds) 0.185 Confirmation Ratio 0.273 0.5.
0.4, -OISD Drift 0.3.-
0.2 .
0 0 go Sepo91 Jan-93 Jun-94 Oct
-0,3.
-0.4
-0.5 The equations used for the SMAZ calculation are:
OISD SMAZ" = (OISD Avg 2 + OISD Std 2 )11 2 2 Des SMAZ3' =(2*(A/2) + 2*(C/2) + (D/2)2)1, where A, C and D are 2 sigma values and C 2/3* (C1 2 + Cstd 2 )%
Confirmation Ratio = OISD SMAZII/Des SMAZII This analysis is based on data from the ITP Database using the following criteria:
- 1) Calibration dates were between 1/28/91 and 1/20/97
- 2) Calibration with intervals less. than 9 months are excluded.
Sheet 12 of 12