ML060110063

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Supplement to Amendment Request, Revision of the Allowable Value for Emergency Feedwater Initiation and Control Function (Efic), Enclosure 1, Calculation, EFIC System Loop Error and Setpoint Analysis
ML060110063
Person / Time
Site: Arkansas Nuclear Entergy icon.png
Issue date: 01/03/2006
From:
Entergy Operations
To:
Document Control Desk, Office of Nuclear Reactor Regulation
References
1CAN010603, DRN 05-3577 80-D-1083C-01, ER-ANO-2005-0871-000
Download: ML060110063 (84)


Text

ATTACHMENT 9.2 ENGINEERING CALCULATION COVER PAGE Sheet I of I

"'{ DRN No. 05-3577 Page(s) 83 CALCULATION (2) Initiating Doc.: ER-ANO-2005-0871-000 ERCN I COVER PAGE Z DRN Superseded: DRN 05-3546 Fl DRNs Voided:

El Calculation SupersededNoided:

El As-BuilVtNo ICN Required Z Pending/lCN Required (Verify current status in IDEAS.)

El CALCULATION (3) Reason For Pending Status: (ER, T.S., Change, etc.)

ER-ANO-2005-0871-000 E:J L "ai R DRN (4) Calculation No: 80-D-1083C-01 j 'a' Revision: 7

Title:

EFIC System Loop Error and Setpoint Analysis 7" System(s): EFIC (8) ComponentlEquipment Identifier:

t Safety Code: 10) Calc Code: C37-1-TDB-A25 C37-1-TDB-A35 s Yes (ANO/GGNSOny) C37-2-TDB-B26 C37-2-TDB-B35 El Quality IC ElNo (20)Study Calc C37-3-TDB-C45 C37-3-TDB-C55 E YES 1 NO C37-4-TDB-D45 C37-4-TDB-D55 I10CFR50.59 Review: (12) Structure: (Optional) l Addressed in ER-ANO-2005-0871- Bldg. NA Elev. NA 000 ERCN I El Attached Room NA Wall NA El No LBD Impact Coordinates: NA W} R-Type: TDCALC (14) Org. Code: (ANOIGGNS/RBS Only) E IC lS Keywords: EFIC, EFW, low level initiate, time delay 1 Topical Codes: (ANO Only) INUN, SETC REVIEWS S. L. McKissack D. Wayne Cottingham R. Eric Allen (16) Name/Signature/Date (17) Nanie/Signature/Date (18) 0 V4z ,

0 ll--° c& -f Name/Signature/pte lg Design Verif'er I/37i'b Responsible Engineer El Reviewer Supervisor/Approval El Checker (Only As-Built DRNs Included In Revision) 1 Comments Attached E Comments Attached NMM ENS-DC-126, REV 5 Attachment 9.2 Engineering Calculation Cover Page Form, Rev 5 Date: 08/09/04

DfIU 0-3sqir tA2 cA 63 ATTACHMENT 9.3 CALCULATION REFERENCE SHEET Sheet 1 of I CALCULATION lCALCULATION NO: CALC-80-D-1083C-01 REFERENCE SHEET REVISION: 7 (DRN 05-3577)

I. DRNs INCORPORATED:

1.NA 11 Relationships: Sht Rev Input Output Impact DRN/

Doc Doc Y/N Tracking

_N _ _ _ _ o.

1. ER-ANO-2005-0871-000 ERCN ALL 0 0 [El Y NA
  1. 1__ __ _ _ _ _
2. CALC-A1-NE-2004-002 ALL 2 0 Y NA
3. CALC-86-D-1101-01 ALL 2 0 Y 5RRN 05-

____ ___ ____ 3578

4. CALC-A1-NE-2005-005 All 0 0 3 _ NA
5. OP-1304.098 All 016- [ [ Y NA 0-0..
6. OP-1304.099 All 017- 0 W Y NA 7.___OP-1304.100_ _All_ 0-0 NA
7. OP-1304.100 All 015- 0 El Y NA

_9O-0-5A 0-0 ___.__NA

8. OP-1304.101 All 015- 0 0 Y NA

________________________________0-0______

10. OP-1304-145 All 028- 01 0 Y NA

_ __ 0-0 _ _ _ _ _ __ _ _ _ _

11. OP-1 304-147 All 027- 0 0 Y NA

_ __ 0-0 _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _

12. OP-1304-148 All 029- 0 0 Y NA Ill. CROSS

REFERENCES:

1.CR-ANO-1-2005-3075 IV. SOFTWARE USED:

Title:

Microsoft Excel Version/Release: 2002 Disk/CD No. NA DISKICDS INCLUDED:

Title:

80D1 083C01 DRN 05-3577.xls Version/Release 0 Disk/CD No. NA V. OTHER CHANGES:

NMM ENS-DC-126, REV 5 Attachment 9.3 Calculation Reference Sheet Form, Rev. 5 Date: 08109l04

LLN 14-iI 0O , ~3'0%L ATTACHMENT 9A RECORD OF REVISION Sheet 1 of 1 V. I Initial issue.

To support ER-ANO-2005-0871-000, ERCNI, which was developed to address spurious EFIC actuations, DRN 05-3577 was Issued to change CALC-80-D-1083C-01, Rev 7, to reflect an EFIC low level Initiate in plant setpoint of 11.0 Inches (previously 13.5 Inches). In addition, the EFIC low level bistable time delay setpoint was Increased from 2.0

+/-0.5 second time delay to 9.9 +/- 0.5 seconds.

The specific sections of the calculation that were affected and attached to this DRN are as follows:

5.2.0 Page 173-Changed the In-plant setpoint 5.3.0 Page 177 and 178-Changed Assumption and Given Conditions 5.3.20, 5.3.28, 5.3.29, and 5.3.31.

5.4 Page 20Changed the Setng Tolerance, Change to Table 5.4.4.10 (Pg. 202), Table 5.4.4.11 (Pg. 203),

Table 5.4.4.13 (Pg. 204), Table 5.4.4.15 and Table 5.4.4.16 (Pg. 205), 5.4.6-Changed Time Delay (Pg. 219).

5.5.0 Page 220 and 221- Error values changed and on Page 221 the Setpont Evaluation changes to reflect the new calculated setpoint (10.42 Inches), Test Error (1.08 Inches), Allowable Value (9.34) Inches, and the In-Plant Setpoint (11.0 inches

  • 0.975 Inches).

5.6.0 Pages 222 thru Page 224-Changed references 5.6.8, 5.6.11, 5.6.22, 5.6.23, 5.6.38, 5.6.39, 5.6.40, and 5.6.41.

In addition, References 5.6.44 and 5.6.45 were added.

DRN 05- Attachment 5 Page 225-Corrected typographical errors.

62.0 Page 229- In-plant setpoint change.

6.3.0 Page 232-Changed Assumption and Given Conditions 6.3.17, 6.3.20, 6.3.21, and 6.3.22.

6.4 Page 250-Changed the Setting Tolerance, Change toTable 6.4.4.10 (Pg. 252), Table 6.4.4.11 (Pg. 253), Table 6.4.4.13 (Pg. 254), Table 6.4.4.15 and Table 6.4.4.16 (Pg. 255). 6.4.5-Changed Time Delay (Pg. 256).

6.5.0 Page 257 and 258 -Error values changed and the Setpoint Evaluation changes to reflect the new calculated setpoint (9.53 Inches), Test Error (1.08 Inches), Allowable Value (8.45 inches) and the In-Plant Setpont (11.0 Inches

  • 0.975 Inches).

6.6.0 Pages 259 and 260-Changed references 6.6.8, 6.6.11, 6.6.22, 6.6.23, 6.6.32, 6.6.33, 6.6.34, and 6.6.35. In addition, References 6.6.39, and 6.6.40 were added.

Attachment 6.1- Page 261-Corrected typographical errors.

7.0 Page 262-Changed the discussion write up.

NMM ENS-DC-126, REV 5 Attachment 9.4 Record of Revision Form Rev 5 Date: 08/09/04

ANO- -1Calculation No. DRN 05-3577 Pg 4 of 83 Page 1722of 302 80-D-1083C-01, Rev.7 5.0 EFIC SYSTEM CHANNELS A & B LOW RANGE LEVEL 5.1.0 PURPOSE/SCOPE 5.1.1 PURPOSE The purpose of this section of this calculation is to determine the accuracy of the level loops associated with the ANO-1 Emergency Feedwater Initiate and Control (EFIC) System, Channels A & B. The specific loops of interest are:

1) the SG Low Level Initiate; and
2) the Low Range Level Control.

See Figure 1 for the block diagram.

5.1.2 SCOPE This Section is applicable to the following instrument loops:

Unit Instrument Loop No. Service I LT-2618 SGA Level 1 LT-2667 SGB Level 1 LT-2622 SGA Level 1 LT-2671 SGB Level The errors will be calculated for the Reference, Abnormal and Accident Conditions.

The loop output error is calculated for the following output devices:

Instrument Device Function EFIC Channel A: C37-1-TDB-A25 SG A Low Level Initiate EFIC Channel A: C37-1-TDB-A35 SG B Low Level Initiate EFIC Channel B: C37-2-TDB-B25 SG A Low Level Initiate EFIC Channel B: C37-2-TDB-B35 SG B Low Level Initiate EFIC Channel A: C37-1-CT-A513 SG A Low Range Level EFIC Channel A: C37-1-CT-A613 SG B Low Range Level EFIC Channel B: C37-2-CT-B513 SG A Low Range Level EFIC Channel B: C37-2-CT-B613 SG B Low Range Level

ANO-1 Calculation No. DRN 05-3577 Pg t; of 83 Page 173 of 302 80-D-1083C-01, Rev. 7 5.

2.0 INTRODUCTION

The ANO-1 Emergency Feedwater Initiation and Control (EFIC) System is an instrumentation system that monitors selected plant conditions and automatically Initiates the Emergency Feedwater (EFVV) System upon detection of abnormal conditions. The EFW System is required for the accident analysis of Loss of Feedwater for EFW Sizing (Ref. 5.6.16), Main Steam Une Break, Small Break LOCAs and Loss of All Unit AC Power (Ref. 5.6.14).

The SG level signals are corrected for process density changes relative to the calibration density values. As depicted in the block diagram (Figure 1), the inputs into the compensation module consist of a level signal and a pressure signal. Per Reference 5.6.10, these signals are combined using the equations below to produce the output signals that represent the compensated level signals.

1) vo= 1 + 23.91 (APL-2.5) -4 .O*pt wherevoistheoutputvoltagefedto PW- Pst the Bistables.
2) v0 = 18.150*(APL7 2.5) - 3.036 *pSt where vo is the output voltage for the PW - Pst Low Range Level Control.

In the equations above, APL is the level signal corresponding to the SG level transmitter signal prior to density compensation (volts)

Pw is the density of water corresponding to the SG pressure transmitter signal. The density values are stored In EPROM and are retrieved based on the pressure signal. (lb/tA`3) pat is the density of steam corresponding to the SG pressure transmitter signal. The density values are stored in EPROM and are retrieved based on the pressure signal. (lb/ftA3)

All errors are converted to units of volts for a consistent analysis throughout the EFIC System modules. The equations above are used to determine the expected output voltage and the output voltage with maximum errors Included. The output voltage with maximum errors is compared to the expected output voltage to determine the loop uncertainty. The resulting uncertainty Isthen combined with the manufacturers specifications for the EFIC System.

SG LOW LEVEL INITIATE The Low SG Level Initiate setpoint for EFIC determines the level at which emergency feedwater i(EFW) is initiated during Loss of Main Feedwater (LOFVV) events. The in-plant setpoint evaluated per z Reference 5.6.44 is 11.00 Inches above the lower tube sheet (5.00 inches above the lower tap). This cl setpoint will be evaluated with respect to the instrument uncertainty in the Conclusions Section.

SG LEVEL CONTROL This is a control level setpoint designed to be selected following Initiation of EFW if one or more reactor coolant pumps (RCPs) are providing forced circulation. The current setpoint, per References 5.6.22 and 5.6.23, is 31 Inches. This setpoint will be evaluated with respect to the instrument uncertainty In the Conclusions Section.

ANO-1 Calculation No. DRN 05-3577 Pg to of _83 Paage 174 of 302 80-D-1083C-01, Rev. 7 The statistical method of the Square Root of the Sum of Squares (SRSS) is used to determine the random error on a component level and for the loop. Non-random errors are combined via simple addition with the random error term to establish the total error.

This calculation is done with the guidelines set forth in the Instrument Loop Error Analysis and Setpoint Methodology Manual (Ref. 5.6,1).

All percentages are expressed in terms of span unless otherwise noted.

All terms are considered random error terms unless noted by a lower case ubw suffix to indicate a bias or non-random error term or Y suffix to indicate a total of bias and random terms.

ANO-1 Calculation No. DRN 05-3577 Pg. '1 of 63 Page 175 of 302 80-D-1083C-01, Rev. 7 5.3.0 ASSUMPTIONS AND GIVEN CONDITIONS 5.3.1 The minimum and maximum temperatures expected for the transmitter reference leg fluid, 7 during normal operation, are 1040F and 118'F, respectively. These values are conservative per Reference 5.6.43, Table 1, for Elev. 336'.

5.3.2 The maximum temperature expected for the transmitter reference leg fluid, during accident conditions, is 285'F. This value is found in Reference 5.6.2, Appendix A. For the calculation of the process measurement error, it is assumed that the reference leg fluid does not flash.

Therefore, the density is taken from Reference 6.3 for 2850 F and 54 psia (P SAT).

5.3.3 The operating pressure range is assumed to be limited by the pressure inputs from the pressure loops (Ref. 5.6.7). Therefore, the operating pressure range Is 0 to 1200 psig.

5.3.4 Per Reference 5.6.8, the static pressure zero and static pressure span errors are correctable during calibration. Per Attachment 5-1 and References 5:6.22 and 5.6.23, the transmitter is calibrated based on a static pressure of 900 psig. The minimum and maximum operating static pressures are 0 psig and 1200 psig, respectively.

Since the transmitters are corrected for a static pressure of 900 psig (Pcor), the static pressure uncertainties will be computed using the maximum deviation from 900 psig, or 900 psi (900 - 0 psig). In addition, to maximize the static pressure span error, the maximum reading of 100% will be used.

5.3.5 Per Reference 5.6.8, static pressure causes a systematic span shift of -0.75% of input per 1000 psi increase which is correctable by applying a correction factor during calibration. Per Attachment 1 and References 5.6.22 and 5.6.23, a correction factor is applied during calibration based on a static pressure of 900 psig. A bias error is introduced when the actual operating static pressure deviates from the calibration pressure of 900 psig. A negative bias occurs for a deviation above 900 psig and a positive bias occurs for a deviation below 900 psig. The deviations are based on the minimum and maximum operating pressures (0 psig and 1200 psig).

In addition, the maximum DP input (100%) is used in that it yields the maximum, i.e.

the most conservative, error.

5.3.6 Individual error terms less than 0.05%Span are considered negligible (Ref. 5.6.1).

Where a note to this effect has been provided, the error is not provided in the calculations. However, where error terms less than 0.05%Span exist In error analyses, they are used in calculations though the impact is negligible.

5.3.7 The measurement and test equipment (M&TE) used at ANO is controlled by a program to ensure traceability is maintained. In accordance with Reference 5.6.9, M&TE specified for use in calibration of instrumentation should have an accuracy at least two times that of the Instrument being calibrated unless authorized by responsible management. Unless otherwise noted, the Calibration Error Effect for all devices is based upon using M&TE which is twice as accurate as the devices being calibrated. The calibration uncertainty assumes there are calibration devices on the input and output of the device being calibrated.

ANO-1 Calculation No. DRN 05-3577 Pg g. of 63 Page 176 of 302 80-D-1083C-01, Rev. 7 5.3.8 For purposes of determining Temperature Effect (TE) for the differential pressure transmitter, a variation of 50'F is used. This assumes a calibration temperature of 60'F and an Abnormal Temperature of 11 0IF (Ref. 5.6.2). For accident conditions, a variation of 2250 F is used. This assumes the maximum temperature in an accident of 2850F (Ref. 5.6.2).

5.3.9 Unless otherwise noted, the line voltage is assumed to be 120 VAC with a variance of +/-10 VAC and the DC power supplies are assumed to have a variance of +/-10% rated voltage.

These variances are assumed to be conservative per Reference 5.6.1.

5.3.10 Per Reference 5.6.8, the Rosemount transmitter drift is 0.20%URL over a 30 month period. References 5.6.22 and 5.6.23 indicate that the transmitters are calibrated every 72 weeks or 18 months. Tech Specs (Ref. 5.6.11) allow a 25%

extension, making the calibration interval 22.5 months. Since the calibration interval is within the vendor supplied drift specification, the 0.20%URL will be used as a bounding drift error.

5.3.11 Per Reference 5.6.12, the normal error specifications for the transmitter, given by the vendor, are accurate to three sigma. All other specifications are two sigma values, therefore, the normal transmitter specifications will be multiplied by 2/3 to convert them to two sigma values before combining them with other two sigma values.

5.3.12 The power for the IN converters and the VA converters is supplied from the internal power supply in the Foxboro nest (Ref. 5.6.25 - 5.6.26). This +/- 15 VDC power supply is regulated to 0.2% output voltage change for a +/- 10% change from nominal line voltage (Ref. 5.6.13). Since the power supply line voltage remains within the 10% criteria (5.3.9) the power supply error will be limited to 0.2 %. The power supply is also affected by temperature and has an ambient temperature effect of 0.5% for a 45 *F change within 40 - 120 *F. Since the power supply temperature effect envelopes the Auxiliary Building temperature range (5.3.13) the power supply temperature effect will be limited to 0.5%. The two power supply error terms will be combined using the SRSS method, since the two terms are random and independent, to provide a total power supply error.

Power Supply Error = i [(0.2)2 + (0.5)2]112

= +/- 0.539 %

5.3.13 The maximum normal temperature extremes for the Auxiliary Building is listed as 60 to 105 "F (Ref. 5.6.2). This calculation will use 60 "F as the calibration temperature for the Foxboro components which are located in the Auxiliary Building in the Electrical Equipment Rooms.

5.3.14 The vendor for the IN converters, Foxboro, supplied a reference accuracy (RA) specification of +/-0.2% of span. Per References 5.6.22 and 5.6.23, the converters are calibrated to +/-0.5%Span.

Therefore, a setting tolerance (ST) of +/-0.3%Span will be added to RA to make the adjusted device tolerance (Dtol) +/-0.5%Span. The error calculation for the IN converters will use Dtol in lieu of RA.

5.3.15 The MTE used to calibrate the signal converters is much more accurate than one-half the accuracy of the devices being calibrated (Ref. 5.6.22 and 5.6.23). Therefore, in lieu of using RlA/2 for the MTE accuracy (5.3.7), the actual accuracy of the DMM (+/-0.125%) and DVM (+/-0.005%) will be used.

ANO-1 Calculation No. DRN 05-3577 Pg R of & Page 177 of 302 80-D-1083C-01, Rev. 7 5.3.16 The vendor for the W and V/I converters, Foxboro, did not supply a drift (DR) error specification. It is assumed that DR will not be worse than the reference accuracy 71 (RA) or device tolerance (Dtol) of the device, whichever is greater.

5.3.17 All Foxboro normal performance specifications are considered 3 sigma specifications (Ref. 5.6.17). Therefore, the data must be converted to 2 sigma before being combined with other 2 sigma data.

5.3.18 The vendor specifies that the 625-ohm input resistor is a precision resistor (Ref. 5.6.10).

Per Reference 5.6.24, the resistor tolerance is +/-0.01%. The maximum error will result from maximum input, or 20 mADC and is determined as follows:

(625 + (.01%

  • 625)] * .02 A = 12.501 volts The maximum voltage (without error) would be 12.5 volts. Therefore, the error in percent span is (12.501-12.5)/span*100%= 0.0125 %Span. The error will be considered negligible per Assumption 5.3.6.

5.3.19 Per Reference 5.6.19, the Control Room temperature is 750F with a temperature variance of +/-90 F for the Abnormal and Accident Conditions.

5.3.20 The vendor for the EFIC system did not provide any drift data for the components.

Given the reference accuracy of the combination of the EFIC compensation module and bistable is 0.539 %span per 5.3.25 below, a drift allowance of approximately half of RA or 0.250 % is considered reasonable. This drift allowance will be increased to 0.258 % span 1Z by increasing it by a factor of 31/30 to account for the former 30 day vs. 31 day test frequency presently required by Technical Specifications.

z 5.3.21 The vendor did not supply a temperature effect or power supply effect error specification for the EFIC modules. Based on the small deviations in both the Control Room temperature and the power supply voltage, and based on similar devices in the Control Room, it is assumed that these deviations will have a negligible effect on the loop error.

5.3.22 The MTE used to calibrate the EFIC Modules is much more accurate than one-half the accuracy of the devices being calibrated (Ref. 5.6.22 and 5.6.23). Therefore, in lieu of using RA/2 for the MTE accuracy (5.3.7), the actual accuracy of the MTE (+/-0.125%) will be used.

5.3.23 The radiation effect for the transmitters is given in Reference 5.6.35 as +/-1.0%URL for doses less than 1 MRad/ hr and a TID less than 5 MRads. Reference 5.6.36 gives a dose of 2.1 MRads over a 3 year period for a Small Break LOCA. Although the dose given in Reference 5.6.36 may not bound all SBLOCA cases, it is assumed that doses will remain lower than 5MRads.

5.3.24 Foxboro specifies a separate accuracy and repeatability error term for the V/I converter.

Therefore, this calculation will combine both the accuracy and the repeatability by SRSS and use the resultant as the overall Reference Accuracy (Ref. 5.6.1):

ANO-1 Calculation No. DRN 05-3577 Pg to of_5 Page 178 of 302 80-D-1 083C-01, Rev. 7 Accuracy (A) e + 0.50 %SPAN Repeatability (R) = +/- 0.10 %SPAN Reference Accuracy = +/- [A2+R2]1/2 RA = + 0.51 %SPAN 5.3.25 Per Reference 5.6.20, each component within the EFIC Compensation Module has an accuracy of 0.25%SPAN and the EFIC Bistable Module has an accuracy of 0.20%SPAN.

The SG Low Level Initiate Bistable loop uses four components in the Compensation Module along with the Bistable (Refs. 5.6.29 and 5.6.30). Therefore, the reference accuracy for SUI is assumed to be the SRSS of the accuracies for four Compensation Module components and the Bistable Module, or 0.539%SPAN.

5.3.26 Per Reference 5.6.20, each component within the EFIC Compensation Module has an accuracy of 0.25%SPAN and the EFIC Control Module 'has an accuracy of 0.35%SPAN.

The SG Low-Range Level Control loop uses five components in the Compensation Module along with the Control Module (Refs. 5.6.29 and 5.6.30). Therefore, the reference accuracy for FRL is assumed to be the SRSS of the accuracies for five Compensation Module components and the Control Module, or 0.660%SPAN.

5.3.27 The vendor did not supply the time response for the voltage-to-current converter. It is assumed that the time response for the voltage-to-current converter is not worse than the time response for the current-to-voltage converter. Therefore, a time response of 0.1 second is assumed for the converter.

15.3.28 The SG Low Level Initiate Bistable has a 9.900 second time delay (Ref. 5.6.44).-The DRN 05-3577 bistables are tested and assumed to be acceptable with a +/-0.5 second tolerance (Refs.

5.6.22 and 5.6.23). Therefore, the time response analysis will assume a 10.400 second delay.

5.3.29 The calibration procedures state that the Low SG Level Initiate Bistable is calibrated to 5 0.650%SPAN. This is slightly greater than the reference accuracy (RA) of 0.539% Span DRN listed in Section 5.4.4.2 and less than the former tolerance of 1.0% Span. Therefore, a 05-3577 setting tolerance (ST) will be added to the reference accuracy (RA) to obtain a device l tolerance (Dtol) of 0.650% SPAN.

7 5.3.30 Note that the SG Low-Range Level Control bistables evaluated in this section are not associated with any Allowable Values in the Technical Specifications (Ref. 5.6.11). The drift terms will be revised to account for the slight decrease in frequency of Channel Functional test requirements required per Technical Specifications, however no additional evaluation of the impact to Allowable Values Is required in section 5.5.

5.3.31 EFIC Initiates on a low level of 11 inches above the lower tube sheet or 5 Inches of calibrated Ispan (3.3 % span, rounded), this is equivalent to an uncompensated voltage level of DRN approximately 2.833 volts or 2.84 volts (rounded). This trip is credited for a Loss of Feedwater 05-3577 (LOFW) event which does not assume a main steam or main feedwater line break. For LOFW the actual SG pressure would be expected to remain the same or increase above normal operating pressure at the the time of trip intifiation. Table 5.4.4.15 shows that for the range of bistable voltages from 2.5 - 6.0 vdc and for pressures equal to or greater than 900 psia the abnormal low level initiate bistable uncertainty (ABN SUlot) Is bounded by

+2.62 /-2.54% Span.

ANO-1 Calculation No. DRN 05-3577 Pg I ( of '3 Page 179 of 302 80-D-1083C-01, Rev. 7 5.4.0 ANALYSIS 5.4.1 FIGURE 1: BLOCK DIAGRAM-EFIC CHANNELS A & B [5.6.25, 5.6.26, 5.6.27, 5.6.28, 5.6.29, 5.6.30J EFIC SYSTEM MODULES Ch. A SGA LT-2618 LY-2618-1 LY-2618-2 Ch. A SGB LT-2667 LY-2667-1 LY-2667-2 Ch. B SGA LT-2622 LY-2622-1 LY-2622-2 Ch. B SGB LT-2671 LY-2671-1 LY-2671-2 SG Low Level (SU10)

SG Pressure (Fig 1, Sec 1.4.1 Low Range Level PRS for Level Control (LRLo)

Ch. A SGA Pressure Ch. A SGB Pressure Ch. B SGA Pressure Ch. B SGB Pressure

ANO-1 Calculation No. DRN 05-3577 Pg ( of S3 Page 180 of 302 80-D-1 083C-01, Rev. 7 5.4.2 SG PRESSURE (PRS)

The Steam Generator pressure signals for EFIC Channels A and B come from the following pressure transmitters:

PT-261 8A PT-261 8B PT-2667A PT-2667B The loop error analysis for the above pressure transmitter loops is calculated in Section 1.0. The following errors ("RI o" from Sect. 1.0) for the Reference, Abnormal and Accident conditions are the errors associated with the pressure signal that is input to the EFIC density compensation module:

REF PRSo = +/- REF Roo (from Sect. 1.0)

REF PRSo = +/- 0.99 %Span = +/- 11.9 psi [Sect. 1.0]

ABN PRSo = + ABN RIo (from Sect. 1.0) 71ABN PRSo = +/- 1.35 %Span = +/- 16.2 psi [Sect. 1.0]

ACC PRSo = +/- ACC RI o (from Sect. 1.0) 71ACC PRSo = +/- 1.35 %Span = +/- 16.2 psi [Sect. 1.0]

ACC PRSob = ACC RI ob (from Sect. 1.0)

ACC PRSob = + 0.00 %Span = + 0.0 psi [Sect. 1.0]

ACC PRSob = 0.07 %Span = - 0.8 psi [Sect. 1.0]

Note: The errors are converted from %Span to units of psi since the density computation error (Sections 5.4.4 and 5.4.5) is based on variations from actual SG pressure.

ANO-1 Calculation No. DRN 05-3577 Pg t3 of SS Page 181 of 302 80-D-1083C-01, Rev. 7 5.4.3 SG LEVEL (LVL)

The Steam Generator level signals for EFIC Channels A and B come from the following level transmitters:

LT-2618 LT-2667 LT-2622 LT-2671 The loop error analysis for the above level transmitter loops is calculated in Sections 5.4.3.1 through 5.4.3.6 of this calculation. The errors ("RIo" of Section 5.4.3.6) for the Reference, Abnormal and Accident conditions are summarized as follows:

REF LVLo REF Ri o (from 5.4.3.6) 7IREF LVLo 0.988 %Span = +/- 0.099 volts [Sect. 5.4.3.6]

ABN LVLo = +

ABN Ri o (from 5.4.3.6) 71ABN LVLo 1.300 %Span = 0.130 volts [Sect. 5.4.3.6]

= +/-

ACC LVLo ACC Ri o (from 5.4.3.6) 71ACC LVLo = _ 3.497 %Span = +/- 0.350 volts [Sect. 5.4.3.6]

ABN LVLob ABN Ri ob (from 5.4.3.6) 71ABN LVLob + 0.675 %Span = + 0.068 volts [Sect. 5.4.3.6]

ABN LVLob 0.622 %Span = - 0.062 volts [Sect. 5.4.3.6]

ACC LVLob ACC RI ob (from 5.4.3.6) 71ACC LVLob + 7.983 %Span = + 0.798 volts [Sect. 5.4.3.6]

lACC LVLob 0.225 %Span = - 0.023 volts [Sect. 5.4.3.6]

Note: The errors have been converted from %Span to units of volts since the loop errors within the EFIC System Modules will be calculated in volts. The input resistor, Ri from Section 5.4.3.6, Is 625 Q which makes the span 10 volts.

ANO-1 Calculation No. DRN 05-3577 Pg '4 of 63 Page 182 of 302 80-D-1 083C-01, Rev. 7 5.4.3.1 PROCESS MEASUREMENT ERROR (PME)

The process measurement error (PME) for this closed level loop is caused by density changes in the reference leg fluid due to ambient temperature variations. Since the loop is pressure compensated (Ref. 5.6.10), the density changes due to system pressure variations do not cause a process measurement error.

As the reference leg fluid temperature varies from the temperature assumed during calibration, the density of the reference leg fluid changes, causing the transmitter to sense a different differential pressure than expected, thus causing a bias process measurement error. The error will be positive when the reference leg temperature is greater than that assumed during calibration, and negative when the reference leg temperature is less than that assumed during calibration.

The assumed calibration conditions are given as follows: [Att. 5-11 Span = 143.98 1H2O (span of transmitter)

HR = 150 inches (height of reference leg)

Reference Leg Fluid:

TCAL = 120 ¶F (temperature assumed at calibration)

SVCAL = 0.016204 3 ft Abm (specific volume H 20 @ 1200 F)

PCAL 61.7132 Ibm/ 3 (density assumed at calibration)

PCAL 0.0357 Ibm/in3 (density assumed at calibration)

The error introduced by variations in the reference leg fluid density is calculated for the abnormal and accident conditions as follows:

ABNORMAL CONDITIONS Reference Leg Fluid: 15.3.1]

TMIN = 104 OF (minimum temperature)

SVMIN = 0.016142 ft3Abm (specific volume H20 @ 104'F) [5.6.3]

PMAX = 61.9502 Ibm/ft3 (density at T MIN)

PMAX = 0.0359 Ibm/in3 (density at T MIN)

TMAX = 118 F (maximum temperature)

SVMAX = 0.016192 ft3 Abm (specific volume H 20 @ 11 80 F) [5.6.3]

PMIN = 61.7589 Ibm/ft 3 (density at T MAX)

PMIN = 0.0357 Ibm/in3 (density at T MAX eDP(-) = HR * (PCAL - PMAX) [5.6.1]

-0.02058 psi

= -0.571 1-120 = -0.397 %Span eDP(+) = HR * (PCAL- PMIN) [5.6.1]

-0.00397 psi

-0.110 "H2 0 = -0.077 %Span

ANO-1 Calculation No. DRN 05-3577 Pg i5 Of 63 Page 183 of 302 80-D-1 083C-01, Rev. 7 ACCIDENT CONDITIONS Reference Leg Fluid: [5.3.21 TMAX = 285 OF (maximum temperature)

SVMAX = 0.01726 ft~/1bm (specific volume H 20 @ 285*F) [5.6.3]

PMIN = 57.9374 lbm/Wt (density at T MAX)

PMIN = 0.0335 Ibm/iwi4 (density at TMAX) eDP(+) = HR * (PCAL - PMIN) [5.6.1]

0.32775 psi 9.096 -H2 0 = 6.318 %Span

SUMMARY

OF PROCESS MEASUREMENT ERROR (PMEb):

ABN PMEb = +

N/A %Span 0.397 %Span ACCPMEb = + 6.318 %Span

ANO-1 Calculation No. DRN 05-3577 P9 R9 of 63 Page 184 of 302 80-D-1 083C-01, Rev. 7 5.4.3.2 LEVEL TRANSMITTER (TRX)

COMPONENT ID Tag Number(s) LT-261 8, LT-2667 [5.6.28]

LT-2622, LT-2671 Manufacturer Rosemount [5.6.5]

Model Number 1154DP4RB [5.6.5]

Upper Range Limit (URL) 150 "H2 0 [5.6.8]

Calibrated Range -4.58 to -148.56 "H2 0 [Att. 5-1]

Calibrated Span 143.98 "H2 0 [Aft. 5-1]

Turn Down Factor (TDF) 1.0418 ENVIRONMENTAL CONDITIONS Location Reactor Building [5.6.5]

Static Pressure Corr (Pcor) 900 psig [Att. 5-1]

Operating Press Range 0 to 1200 psig [5.3.3]

Pdiff(-) -900 psi [5.3.4, 5.3.5]

Pdiff(+) 300 psi [5.3.5]

Calibration Temp (Tcal) 60 °F [5.3.8]

Abnormal Temp (Tabn) 110 °F [5.3.8]

DT (Tabn-Tcal) 50 °F [5.3.8]

Accident Temp (Tacc) . 285 OF [5.3.8]

ADT (Tcal-Tacc) 225 OF [5.3.8]

Power Supply Voltage 30 VDC [5.6.10]

Power Supply Variance 10 % [5.3.9]

+

Power Supply Variance (DV) 3 VDC ERROR

SUMMARY

Reference Accuracy (RA) = +/- 0.250 %Span [5.6.8]

Calibration (CAL) [(RA/2) 2+(RA/2)2J 12 [5.3.7]

+/-

Calibration (CAL) 0.177 %Span Drift (DR) +/- 0.2%URL /30 months [5.3.10]

Drift (DR) +/- (0.2)*(TDF)

Drift (DR) + 0.208 %Span Power Supply Effect (PS) + 0.005 % perVolt [5.6.8]

Power Supply Effect (PS) + (0.005)*(DV)

Power Supply Effect (PS) +/- 0.015 %Span (negligible) [5.3.6]

Power Supply Effect (PS) +/- 0.000 %Span Temperature Effect (TE) 0.75%URL + 0.5%Span per 100°F change [5.6.8]

Temperature Effect (TE) +/- [(0.75)*(TDF)+(0.5)]*DT/100 Temperature Effect (TE) 0.641 %Span

ANO-1 Calculation No. DRN 05-3577 Pg kI of S3 Page 185 of 302 80-D-1083C-01, Rev. 7 Acc Temperature Effect (ATE) 2.5%URL + 0.5%Span [5.6.8]

Acc Temperature Effect (ATE) (2.5)*(TDF)+(0.5) %Span Acc Temperature Effect (ATE) 3.105 %Span Acc Radiation Effect (ARE) 1.0%URL [5.3.231 Acc Radiation Effect (ARE) (1.0)*(TDF) %Span Acc Radiation Effect (ARE) 1.042 %Span Static Pressure Zero (SPZ) 0.2%URL per 1000 psi 15.6.8, 5.3.4]

+/-

Static Pressure Zero (SPZ) (0.2)*(TDF)*(Pdiff)/1 000 Static Pressure Zero (SPZ) 0.188 %Span Static Pressure Span (SPS) 0.5%RDG per 1000 psi 15.6.8, 5.3.4]

Static Pressure Span (SPS) +/- (0.5)*(1)*(Pdiff)I1000 Static Pressure Span (SPS) 0.450 %Span Stat Press Span Bias (SPSb) - 0.75 % Input/I 000 psi [5.6.8, 5.3.5]

SPSb(+) (0.75)*[Pdiff(-)]/1000 %DP Input SPSb(+) + 0.675 %DP Input SPSb(-) = (-0.75)*IPdiff(+)]/1000 %DP Input SPSb(-) - 0.225 %DP Input SPSb(+) =

0.675 %Span [5.3.51 SPSb(-) 0.225 %Span The transmitter error (eTRX) for the Reference, Abnormal and Accident conditions is given as follows:

REFeTRX = _ RA + CAL REF eTRX = +/- 0.427 %Span ABN eTRX = +/- [(RA+CAL)2+(2DR/3)2+(2PS/3) +(2TE/3)2+(2SPZ/3)2+(2SPS/3)211] [5.3.11]

ABN eTRX = _ 0.700 %Span ACC eTRX = _ ((RA+CAL) 2+(2DR13) 2 +(2P513) 2 ATE2 +ARE 2+(2SPZ13) 2 +(2SP513) 2J"2 ACC eTRX = +/- 3.321 %Span [5.3.111 ABN eTRXb SPSb ABN eTRXb 0.675 %Span ABN eTRXb 0.225 %Span ACC eTRXb SPSb ACC eTRXb 0.675 %Span ACC eTRXb 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg LB of 83 Page 186 of 302 80-D-1 083C-01, Rev. 7.

The output error terms for the transmitter (TRXo) are given as follows:

REF TRXo = + REF eTRX REF TRXo = +/- 0.427 %Span ABN TRXo +/- ABN eTRX ABN TRXo 0.700 %Span ACC TRXo =

ACC eTRX ACC TRXo 3.321 %Span ABN TRXob ABN PMEb + ABN eTRXb ABN TRXob + 0.675 %Span ABN TRXob 0.622 %Span ACC TRXob ACC PMEb + ACC eTRXb ACC TRXob + 6.993 %Span ACC TRXob 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg 4 of 633 Page 187 of 302 80-D-1 083C-01, Rev. 7 5.4.3.3 INSULATION RESISTANCE (IR)

The transmitters are located inside the containment building and as such, the effects of harsh environment on loop signal cabling must be considered. The accident environment effects are considered for cabling from the transmitter through the containment electrical penetrations. The IReffect was calculated in Reference 5.6.4 and isquoted below.

ACC IRb = + 0.990 %Span [5.6.41

ANO-1 Calculation No. DRN 05-3577 Pg a;> of $3 Page 188 of 302 80-D-1083C-01, Rev. 7 5.4.3.4 SIGNAL CONVERTER 1 (SCI)

COMPONENT-ID Tag Number(s) LY-2618-1, LY-2667-1 [5.6.28]

LY-2622-1, LY-2671-1 Manufacturer Foxboro [5.6.51 Model Number N-2AI-12V [5.6.5]

ENVIRONMENTAL CONDITIONS Location Auxiliary Building [5.6.5]

Rooms 104 and 112 Calibration Temp (Tcal) 60 OF [5.3.13]

Abnormal/Accident Temp (Ta) 105 OF [5.3.13]

0 DT (Ta-Tcal) 45 F Power Supply Voltage + 15 VDC [5.6.131 Power Supply Variance (DV) 0.539 % [5.3.12]

ERROR

SUMMARY

Reference Accuracy (RA) - +/- 0.200 %Span [5.6.15]

Setting Tolerance (ST) - +/- 0.300 %Span [5.3.14]

Device Tolerance (Dtol) - +/- 0.500 %Span [5.3.14]

Calibration (CAL) - +/- [0.1252+0.0052]1/2 [5.3.15]

Calibration (CAL) - +/- 0.125 %Span Drift (DR) - +/- Dtol [5.3.16]

Drift (DR) - +/- 0.500 %Span Power Supply Effect (PS) 0.200 %span /5% change in supply

  • DV [5.6.16]

Power Supply Effect (PS) = +/- 0.022 %Span Power Supply Effect (PS) 0.000 %Span (negligible) [5.3.6]

Temperature Effect (TE) = +/- 0.500 %span 1 50'F change

  • DT 15.6.151 Temperature Effect (TE) .= 0.450 %/oSpan

ANO-1 Calculation No. DRN 05-3577 Pg Ft of 63 Page 189 of 302 80-D-1 083C-01, Rev. 7 The errors for the IN converter (eSC1) for the Reference, Abnormal and Accident conditions are given as follows:

REF eSCI +/- Dtol + CAL REF eSC1 +/- 0.625 %Span ABN eSC1 +/- [(Dtol+CAL) 2+(2DR/3) 2 +(2PS/3) 2 +(2TE/3)2 112 [5.3.17]

ABN eSC1 +/- 0.769 %Span ACC eSC1 +/- [(Dtol+CAL) 2 +(2DR/3) 2+(2PS/3) 2 +(2TE/3) 2 1 /2 [5.3.17]

ACC eSC1 +/- 0.769 %Span The output error terms for the IN converters (SC1 0) are given as follows:

REF SCOo = +/- [(REF TRXo)2 +(REF eSC1) 21] /2 REF SC1o = + 0.757 %Span ABN SC1Oo = + [(ABN TRXo)2 +(ABN eSCI) 2 ]12 ABN SClo = +/- 1.040 %Span ACC SCOo = +/- [(ACC TRXo) 2 +(ACC eSC1) 21] 2 ACC SC1o = + 3.409 %Span ABN SC1 ob ABN TRXob ABN SC1 ob + 0.675 %Span ABN SCI ob 0.622 %Span ACC SCI ob ACC TRXob + ACC IRb ACC SC1ob + 7.983 %Span ACC SC1 ob 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg 22 of 83 Page 190 of 302 80-D-1083C-01, Rev. 7 5.4.3.5 SIGNAL CONVERTER 2 (SC2)

COMPONENT ID Tag Number(s) I LY-2618-2, LY-2667-2 [5.6.28]

LY-2622-2, LY-2671-2 Manufacturer Foxboro [5.6.51 Model Number N-2AO-V2I 15.6.5]

ENVIRONMENTAL CONDITIONS Location  : Auxiliary Building [5.6.5]

Rooms 104 and 112 Calibration Temp (Tcal) 60 OF [5.3.13]

Abnormal/Accident Temp (Ta) 105 OF [5.3.13]

DT (Ta-Tcal) 45 °F Power Supply Voltage  : 15 VDC [5.6.13]

Power Supply Variance (DV) + 0.539 % [5.3.12]

ERROR

SUMMARY

Reference Accuracy (RA) = +/- 0.510 %Span [5.3.24]

Calibration (CAL) 2 _ [0.0052+0.1 252]12 [5.3.15]

Calibration (CAL) = _ 0.125 %Span Drift (DR) = + FZA [5.3.16]

Drift (DR) 0.510 %Span Power Supply Effect (PS) t 0.200 %span / 5% change in supply

  • DV [5.6.18]

Power Supply Effect (PS) 0.022 %Span Power Supply Effect (PS) = 0.000 %Span (negligible) [5.3.6]

Temperature Effect (TE) = + 0.500 %span / 50°F change

  • DT [5.6.18]

Temperature Effect (TE) = +/- 0.450 %Span

ANO-1 Calculation No. DRN 05-3577 Pg Z3 of 63 Page 191 of 302 80-D-1083C-01, Rev. 7 The errors for the V/I converter (eSC2) for the Reference, Abnormal and Accident conditions are given as follows:

REF eSC2 = +/- RA + CAL REF eSC2 = +/- 0.635 %Span ABN eSC2 = +/- [(RA+CAL) 2+(2DR/3) 2 +(2PS/3)2+(2TE/3) 2 J112 [5.3.17]

ABN eSC2 = +/- 0.780 %Span ACC eSC2 = +/- [(RA+CAL) 2+(2DR/3) 2 +(2PS/3) 2 +(2TE/3) 2 ]1 2 [5.3.17]

ACC eSC2 = +/- 0.780 %Span The output error terms for the V/I converters (SC2o) are given as follows:

REF SC2o = +/- [(REF SC1 o 2 +(REF eSC2)2 ]" 2 REF SC2o = +/- 0.988 %Span ABN SC2o = - [(ABN SC1O) 2 +(ABN eSC2)2 ]" 2 ABNS820 = +/- 1.300 %Span ACC 8020 = +/- [(ACC SC1o) 2+(ACC eSC2) 2 1] " 2 ACC SC2o = _ 3.497 %Span ABN SC2ob = ABN SC1ob ABN SC2ob = + 0.675 %Span ABN SC2ob = - 0.622 %Span ACC SC2ob = ACC SCIcb ACC SC2ob = + 7.983 %Span ACC SC2ob = - 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg 24 of 93 Page 192 of 302 80-D-1 083C-01, Rev. 7 5.4.3.6 RESISTOR (Ri)

COMPONENT ID Type 625 ohms [5.6.29, 30]

Input Range  : 4 to 20 ma [5.6.10]

Output Range  : 2.5 to 12.5 VDC [5.6.10]

Span 10 VDC ENVIRONMENTAL CONDITIONS Location  : Aux. Bldg.-Control Room [5.6.5]

Calibration Temperature :75 °F [5.3.19]

Temp Variance  : _ 9 OF [5.3.19]

ERROR

SUMMARY

Reference Accuracy (RA) = +/- 0.000 %Span (negligible) [5.3.18]

The errors for the resistor (eR1) are given as follows:

REF eR1 = RA REF eR1 = _ 0.000 %Span ABNeR1 = + RA ABN eR1 = 0.000 %Span ACC eR1 = RA ACC eRi = _ 0.000 %Span The output error terms for the resistor (RI o) are given as follows:

REF Rio = + [(REF SC2o) 2 +(REF eRl)2 ]12 REF Rio - 0.988 %Span ABN RIo = +/- [(ABN SC20) 2 +(ABN eR1)2 ]1/2 ABN Rio = +/- 1.300 %Span ACC RIo = +/- [(ACC SC2o) 2+(ACC eRl) 2 ]l 2 ACC RIo = + 3.497 %Span ABN RIob = ABN SC2ob ABN Ri ob = + 0.675 %Span ABN RIob = - 0.622 %Span ACC Rob = ACC SC2ob ACC RIob = + 7.983 %Span ACC RIob = - 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg Z!' of 63 Page 193 of 302 80-D-1 083C-01, Rev. 7 5.4.4 SG LOW LEVEL INITIATE 5.4.4.1 EFIC ALGORITHM 1 Table 5.4.4.1 determines the errors in density expected based upon the error associated with the pressure signal (Section 5.4.2). Per Reference 5.6.10, the densities are stored in EPROM based on the ASME Steam Tables. Table 5.4.4.1 compares what the density is at the actual SG pressure with the density at the SG pressure with the uncertainty included.

This methodology conservatively assumes that no interpolation is performed.

Table 5.4.4.2 determines the minimum and maximum input voltages for the uncompensated level signal based upon the error associated with the level signal (Section 5.4.3).

Table 5.4.4.3 computes the expected output voltages without errors. The equation used for the expected output voltages (Section 5.2.0) is as follows:

vo = I+ 23.91 *(APL- 2.5) - 4 .-*pst where v0 is the output voltage fedI Pw - pst to the Bistables.

Tables 5.4.4.4, 5.4.4.5 and 5.4.4.6 compute the output error due to the error in the uncompensated level signal for the reference, abnormal and accident conditions, respectively.

The equation used is as follows:

VIo = 1 + 23.91 *[(APL+/-LVLo)-2.5)] - 4.0*pt - v, Pw - Pst Table 5.4.4.7 computes the output error due to the error in the pressure signal for the reference, abnormal and accident conditions. This error is minimal compared to other errors in the loop. Therefore, for simplicity, only the accident error is considered for the pressure signal. The equation used is as follows:

V2o = I + 23.91 *(APL-2.5) - 4 0*pst - vo with the densities based upon the PW -Pst pressure signal with error PRSo Tables 5.4.4.8 and 5.4.4.9 compute the bias output error based upon the bias error in the uncompensated level signal for the abnormal and accident conditions, respectively.

The equation used is as follows:

Vob = 1 + 23.91*[(APL+/-LVLob)-2.5)] - 4 .0*pt -v, Pw - Pst

ANO-1 Calculation No. DRN 05-3577 Pg & of _S3 Page 194 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.1 SG PRESSURE DENSITY-SATURATED CONDITIONS (Ibm/ft (psi Expected w/ Error Expected w/ Error Expected w/ Error Actual w/ Error Pw Pw Pst Pst PwiPst Pw-Pst 14.7 14.7 59.8122 59.8122 0.0373 0.0373 59.7749 59.7749 30.8 58.7406 0.0750 58.6656 50.0 33.9 57.8905 58.5857 0.1175 0.0818 57.7730 58.5039 66.1 57.3296 0.1525 57.1771 100.0 83.9 56.3698 56.7924 0.2257 0.1914 56.1441 56.6010 116.1 55.9910 _ 0.2598 55.7313 150.0 133.9 55.2792 55.5864 0.3318 0.2980 54.9474 55.2885 166.1 54.9753 0.3656 54.6097 300.0 283.9 52.9381 53.1350 0.6482 0.6165 52.2899 52.5185 316.1 52.7426 0.6800 52.0626 450.0 433.9 51.1771 51.3875 0.9692 0.9259 50.2079 50.4615 466.1 50.9424 1.0126 49.9298 600.0 583.9 49.6771 49.8504 1.2991 1.2545 48.3780 48.5959 616.1 49.4805 1.3439 48.1365 750.0 733.9 48.3325 48.5201 1.6407 1.5944 46.6918 46.9257 766.1 48.1696 1.6873 46.4823 900.0 883.9 47.1032 47.2590 1.9964 1.9481 45.1068 45.3109 900_0 916.1 46.9484 2.0449 44.9034 1050.0 1033.9 45.9348 46.0829 2.3683 2.3177 43.5665 43.7652 1066.1 45.7875 2.4193 43.3683 1214.7 1198.6 44.7227 44.8029 2.7857 2.7590 41.9370 42.0439 1214.7 44.7227 2.7857 41.9370 DENSITY OF H2 0 (WATER AND STEAM) ERRORS

ANO-1 Calculation No. DRN 05-3577 Pg ZI of S3 Page 195 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.2

__ SG LEVEL (volts) w/ REF w/ABN w/ ABN w/ACC w/ ACC LVLo LVLo LVLob LVLo LVLob Actual (-) (+) (-) (+) (-) (+ (-) , )L 2.5 2.401 2.599 2.370 2.630 2.438 2.568 2.150 2.850 2.478 3.298 3.0 2.901 3.099 2.870 3.130 2.938 3.068 2.650 3.350 2.978 3.798 4.0 3.901 4.099 3.870 4.130 3.938 4.068 3.650 4.350 3.978 4.798 6.0 5.901 6.099 5.870 6.130 5.938 6.068 5.650 6.350 5.978 6.798 8.0 7.901 8.099 7.870 8.130 7.938 8.068 7.650 8.350 7.978 8.798 10.0 9.901 10.099 9.870 10.130 9.938 10.068 9.650 10.350 9.978 10.798 11.0 10.901 11.099 10.870 11.130 10.938 11.068 10.650 11.350 10.978 11.798 12.0 11.901 12.099 11.870 12.130 11.938 12.068 11.650 12.350 11.978 12.798 12.5 12.401 12.599 12.370 12.630 12.438 12.568 12.150 12.850 12.478 13.298 UNCOMPENSATED LEVEL ERRORS (volts)

TABLE 5.4.4.3 EXPECTED Vo PRESS. 7SG LEVEL (vo)

(psia) 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 14.7 0.998 1.198 1.598 2.398 3.198 3.998 4.398 4.798 4.998 50.0 0.992 1.199 1.613 2.440 3.268 4.096 4.510 4.924 5.130 100.0 0.984 1.197 1.623 2.474 3.326 4.178 4.604 5.030 5.243 150.0 0.976 1.193 1.629 2.499 3.369 4.239 4.675 5.110 5.327 300.0 0.950 1.179 1.636 2.551 3.465 4.380 4.837 5.294 5.523 450.0 0.923 1.161 1.637 2.590 3.542 4.494 4.971 5.447 5.685 600.0 0.893 1.140 1.634 2.622 3.611 4.599 5.094 5.588 5.835 750.0 0.859 1.115 1.628 2.652 3.676 4.700 5.212 5.724 5.980 900.0 0.823 1.088 1.618 2.678 3.738 4.799 5.329 5.859 6;1124 1050.0 0.783 1.057 1.606 2.703 3.801 4.899 5.447 5.996 6.271 1214.7 0.734 1.019 1.590 2.730 3.870 5.010 5.580 6.151 6.436 EXPECTED OUTPUT VOLTAGE

ANO-I Calculation No. DRN 05-3577 Pg 2s of S3 Page 196 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.4 REF VIo PRESS LEVEL w/Error (volts)

(psia) 2.401 2.599 2.901 3.099 3.901 4.099 5.901 6.099 7.901 8.099 9.901 10.099 10.901 11.099 11.901 12.099 12.401 12.599 14.7 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 50.0 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 100.0 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 150.0 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 300.0 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 450.0 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 600.0 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 750.0 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 900.0 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 1050.0 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 1214.7 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 REF Vlo (random output error due to uncompensated level signal error)

TABLE 5.4.4.5 P RE SS AB N V lo PRESS __ _ _ _ _ _ _ _ _ _ _ _ _ _ _LEVEL w/Error (volts)_ _ _ _ _ __ _ _ _ _ _ _

(psia)2.370 2.630 2.870 3.130 3.870 4.130 5.870 6.130 7.870 8.130 9.870 10.130 10.870 11.130 11.870 12.130 12.370 12.630 14.7 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 -0.040 0.040 50.0 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 -0.041 0.041 100.0 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 -0.042 0.042 150.0 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 -0.043 0.043 300.0 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 -0.045 0.045 450.0 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 -0.047 0.047 600.0 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 -0.049 0.049 750.0 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 -0.051 0.051 900.0 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 -0.052 0.052 1050.0 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 -0.054 0.054 1214.7 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 -0.056 0.056 ABN VIo (random output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg 21 of 83 Page 197 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.6 ACC V1i PRESS LEVEL w/Error (volts)

(psia) 2.150 2.850 2.650 3.350 3.650 4.350 5.650 6.350 7.650 8.350 9.650 10.350 10.650 11.350 11.650 12.350 12.150 12.850 14.7 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 -0.140 0.140 50.0 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 100.0 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 -0.149 0.149 150.0 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 300.0 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 -0.160 0.160 450.0 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 -0.167 0.167 600.0 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 -0.173 0.173 750.0 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 -0.179 0.179 900.0 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 -0.185 0.185 1050.0 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 -0.192 0.192 1214.7 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 -0.199 0.199 ACC Vlo (random output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg HO of 9s Page 198 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.7 REF, ABN, ACC V2o LEVEL PRESSURE w/Error I psia)

(volts) 14.7 30.8 33.9 66.1 83.9 116.1 133.9 166.1 283.9 316.1 433.9 466.1 583.9 616.1 733.9 766.1 883.9 916.1 2.5 0.000 -0.003 0.003 -0.003 0.003 -0.003 0.003 -0.003 0.003 -0.003 0.004 -0.004 0.004 -0.004 0.005 -0.005 0.005 -0.005 3.0 0.000 0.001 0.000 0.000 0.001 -0.001 0.001 -0.001 0.002 -0.002 0.003 -0.003 0.003 -0.003 0.003 -0.003 0.004 -0.004 4.0 0.000 0.009 -0.005 0.004 -0.003 0.002 -0.001 0.001 0.000 0.000 0.000 0.000 0.001 -0.001 0.001 -0.001 0.001 -0.002 6.0 0.000 0.024 -0.016 0.013 -0.009 0.008 -0.007 0.007 -0.004 0.004 -0.005 0.005 -0.004 0.004 -0.004 0.003 -0.003 0.003 8.0 0.000 0.039 -0.026 0.021 -0.016 0.015 -0.012 0.012 -0.008 0.008 -0.009 0.011 -0.008 0.009 -0.009 0.008 -0.008 0.008 10.0 0.000 0.054 -0.036 0.030 -0.023 0.021 -0.018 0.018 -0.012 0.012 -0.014 0.016 -0.012 0.014 -0.014 0.013 -0.013 0.013 11.0 0.000 0.062 -0.041 0.034 -0.027 0.024 -0.020 0.020 -0.014 0.014 -0.017 0.019 -0.015 0.017 -0.017 0.015 -0.015 0.015 12.0 0.000 0.069 -0.047 0.038 -0.030 0.027 -0.023 0.023 -0.016 0.016 -0.019 0.021 -0.017 0.019 -0.020 0.017 -0.018 0.018 12.5 0.000 0.073 -0.049 0.041 -0.032 0.029 -0.024 0.024 -0.017 0.017 -0.020 0.023 -0.018 0.021 -0.021 0.018 -0.019 0.019 REF. ABN. ACC V2o LEVEL I PRESSURE w/Error (psia)

(volts) 11033.9 1066.111198.6 1214.7 2.5 0.006 -0.006 0.003- 0.000 3.0 a00.04- v.0.004 0.002 0.000 4.0 0.002 -0.002 0.001 0.000 6.0 -0.003 0.003 -0.002 0.000 8.0 -0.008 0.008 -0.005 0.000 10.0 -0.013 0.013 -0.008 0.000 11.0 -0.016 0.016 -0.009 0.000 12.0 -0.018 0.018 -0.011 0.000 12.5 -0.019 0.019 -0.011 0.000 REF, ABN, ACC V2o (output error due to the pressure signal error)

ANO-1 Calculation No. DRN 05-3577 Pg 3t of 83 Page 199 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.8 ABN Vob PRESS LEVEL w/Error (volts)

(psia) 2.438 2.568 2.938 3.068 3.938 4.068 5.938 6.068 7.938 8.068 9.938 10.068 10.938 11.068 11.938 12.068 12.438 12.568 14.7 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 50.0 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 100.0 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 150.0 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 300.0 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 450.0 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 600.0 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 750.0 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 900.0 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 1050.0 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 1214.7 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 ABN Vob (bias output error due to uncompensated level signal error)

TABLE 5.4.4.9

- ACC Vob PRESS LEVEL w/Error (volts (psia)2.478 3.298 2.978 3.798 3.978 4.798 5.978 6.798 7.978 8.798 9.978 10.798 10.978 11.798 11.978 12.798 12.478 13.298 14.7 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 50.0 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 100.0 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 150.0 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 300.0 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 450.0 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 600.0 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 750.0 -0.012 0.409 0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 900.0 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 0.012 0.4-0.012 0.423 -0.012 0.423 1050.0 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 1214.7 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 0.013 0.455 ACC Vob (bias output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg3Z of S3 Page 200 of 302 80-D-1083C-01, Rev. 7 5.4.4.2 EFIC1-Level Initiate Bistables (SU1)

COMPONENT ID Tag Number(s) C37-1-TDB-A25, -A35 [5.6.51 C37-2-TDB-B25, -B35 Manufacturer Vitro Engineering Corp. [5.6.5l Model Number 3801-3034 [5.6.51 ENVIRONMENTAL CONDITIONS Location Aux. Bldg.-Control Room [5.6.51 Calibration Temperature 75 OF [5.3.19]

Temp Variance +/- 9 °F [5.3.19]

ERROR

SUMMARY

DRN Reference Accuracy (RA) = +/- 0.539 %Span [5.3.251 o5- ISeffing Tolerance (ST) = +/- 0.111 %Span [5.3.291 357 Device Tolerance (Dtol) = i 0.650 %Span [5.3.291 Calibration (CAL) +/- [(0.125)2+(0.125)21/2 [5.3.22]

Calibration (CAL) +/- 0.177 %Span 7lDrift (DR) +/- 0.258 %Span [5.3.20]

Power Supply Effect (PS) 0.000 %Span [5.3.211 Temperature Effect (TE) 0.000 %Span [5.3.21]

The errors for the Low Range Level Signal (eSUI) are given as follows:

REF eSU1 +/- (Dtol + CAL)

IREF eSUI +/- 0.827 %Span DRN 05-3577 ABN eSUI +/- [(Dtol+CAL) 2+DR 2+pS 2 +TE 2 J1' lABN eSUI +/- 0.866 %Span DRN 05-3577 ACC eSUI +/- [(Dtol+CAL)y+DR:+PS 2+TE2]'rI lACC eSUI +/- 0.866 %Span DRN 05-3577

ANO-1 Calculation No. DRN 05-3577 Pg 3 3 of 63 Page 201 of 302 80-D-1 083C-01, Rev. 7 The output error for the Bistables (SU10) are given based on the following equations:

REF SU10 = +/- [(REF eSUI) 2 +(REF VlO) 2+(REF V2o)2 1/2 REF SU1 = +/- [(REF eSUI)2+(Table 5.4.4.4) 2 +(Table 5.4.4.7)211/2 REF SU1 = +/- Table 5.4.4.10

[(ABN eSUf) 2+(ABN VIo)2 +(ABN V2o) 2]" 2 ABN SUIo = +/-

ABN SUIo = +/- [(ABN eSUI) 2+(Table 5.4.4.5)2+(Table 5.4.4.7)2]1/2 ABN SUIo = +/- Table 5.4.4.11 ACCSUIo = +/- [(ACC eSUI) 2 +(ACC Vlo)2+(ACC V20)2 ]12 ACCSUIo = +/- [(ABN eSUI) 2 +(Table 5.4.4.6)2 +(Table 5.4.4.7)2]1/2 ACCSUIo = +/- Table 5.4.4.13 ABN SU1ob = ABN Vob ABN SU1ob = (Table 5.4.4.8)

ABNSU1ob = Table 5.4.4.12 ACCSUIob = ACC Vob ACCSUIob = (Table 5.4.4.9)

ACCSUIob = Table 5.4.4.14 Note: Errors in volts are converted to %Span prior to combining with the EFIC error (eSUI).

The total otput error for the reference condition isgiven inTable 5.4.4.10 since there isno bias error.

The total output error for the abnormal condition isthe algebraic sum of the random and bias terms:

ABN SU1ot = ABN SU10 + ABN SU1ob ABN SU1ot = (Table 5.4.4.11)+(Table 5.4.4.12)

ABN SU1ot = Table 5.4.4.15 The total output error for the accident condition isthe algebraic sum of the random and bias terms:

ACC SU1ot = ACC SU'o + ACC SU0ob ACC SU1ot = (Table 5.4.4.13)+(Table 5.4.4.14)

ACC SU1ot = Table 5.4.4.16

ANO-1 Calculation No. DRN 05-3577 Pg 34of 83 Page 202 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.10 REF SUo (%SMan)

PRESS I LEVEL (vots)

(psia) 2.5 3.0 l 4.0 l 6.0 l 8.0 l10.0 I 11.0 l12.0 l 12.5 14.7 1.29 1.29 1.31 1.42 1.62 1.87 2.01 2.16 2.23 50.0 1.32 1.31 1.32 1.37 1.47 1.60 1.67 1.76 1.80 100.0 1.34 1.34 1.34 1.36 1.40 1.46 1.49 1.54 1.56 I' 150.0 1.36 1.36 1.36 1.37 1.39 1.43 1.45 1.47 1.49 300.0 1.40 1.40 1.40 1.40 1.42 1.43 1.44 1.46 1.46 LO t 450.0 1.44 1.44 1.44 1.44 1.46 1.49 1.51 1.53 1.54 z 600.0 1.48 1.48 1.47 1.48 1.49 1.52 1.53 1.55 1.56 0

750.0 1.52 1.51 1.51 1.51 1.53 1.55 1.57 1.59 1.60 900.0 1.55 1.55 1.55 1.55 1.56 1.58 1.59 1.61 1.62 1050.0 1.59 1.59 1.59 1.59 1.60 1.62 1.64 1.65 1.66 1214.7 1.64 1.63 1.63 1.63 1.64 1.64 1.65 1.65 1.66 REF SUlo-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg 36 of 63 Page 203 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.11 ABN SUbo (%Span)

PRESS LEVEL (volts)

(psia) 2.5 l 3.0 l 4.0 l 6.0 8.0 I 10.0 11.0 12.0 12.5 14.7 1.32 1.31 1.33 1.44 1.64 1.89 2.03 2.17 2.25 50.0 1.34 1.34 1.35 1.40 1.49 1.62 1.69 1.78 1.82 100.0 1.36 1.36 1.36 1.38 1.42 1.48 1.52 1.56 1.58 150.0 1.38 1.38 1.38 1.39 1.41 1.45 1.47 1.49 1.51 300.0 1.42 1.42 1.42 1.43 1.44 1.46 1.47 1.48 1.49 450.0 1.46 1.46 1.46 1.47 1.49 1.51 1.53 1.55 1.57 a:

C 600.0 1.50 1.50 1.50 1.50 1.52 1.54 1.55 1.57 1.58 750.0 1.54 1.54 1.53 1.54 1.55 1.58 1.59 1.61 1.62 900.0 1.58 1.57 1.57 1.57 1.58 1.60 1.62 1.63 1.64 1050.0 1.62 1.61 1.61 1.61 1.62 1.64 1.66 1.67 1.68 1214.7 1.66 1.65 1.65 1.65 1.66 1.66 1.67 1.67 1.68 ABN SUIo-OUTPUT LOOP ERROR (%Span)

TABLE 5.4.4.12 ABN SUlob (%Span)

LEVEL (volts PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5

_(-J )- )+ (-) I +) I(-)

(-) I +) I (+)( -) + ) (-) I+

14.7 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 50.0 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 100.0 -0.66 .0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 150.0 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 300.0 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 450.0 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 600.0 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 750.0 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 900.0 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 '-0.82 0.89 1050.0 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 1214.7 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 ABN SU1ob-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg 3 of 6f Page 204 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.13 ACC SUbo (%Span)

PRESS - LEVEL (volts)

(psia) 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 14.7 3.60 3.60 3.61 3.65 3.73 3.85 3.92 4.00 4.04 50.0 3.72 3.72 3.72 3.74 3.78 3.83 3.86 3.90 3.92 100.0 3.82 3.82 3.82 3.83 3.84 3.87 3.88 3.90 3;90 150.0 3.90 3.90 3.90 3.91 3.91 3.93 3.93 3.94 3.95 300.0 4.09 4.09 4.09 4.09 4.10 4.10 4.11 4.11 4.11 450.0 4.25 4.25 4.25 4.26 4.26 4.27 4.28 4.29 4.29 z

03 600.0 4.41 4.41 4.41 4.41 4.41 4.42 4.43 4.43 4.44 750.0 4.56 4.56 4.56 4.56 4.57 4.57 4.58 4.59 4.59 900.0 4.72 4.72 4.72 4.72 4.72 4.73 4.73 4.74 4.74 1050.0 4.88 4.88 4.88 4.88 4.88 4.89 4.89 4.90 4.90 1214.7 5.06 5.06 5.06 5.06 5.06 5.06 5.06 5.07 5.07 ACC SUlo-OUTPUT LOOP ERROR (%Span)

TABLE 5.4.4.14

__=__ ACC SUlob (%Span)

- LEVEL (volts)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 - 12.0 12.5 (psia)T-) -) I I- ~ I~ (- m I IIE~m I11(- I - I mi I~

14.7 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 50.0 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 100.0 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 150.0 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 300.0 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 -0.26 9.13 450.0 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 600.0 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 750.0 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 900.0 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 1050.0 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 1214.7 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 ACC SUlob-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg 3 of %3 Page 205 of 302 80-D-1083C-01, Rev. 7 TABLE 5.4.4.15 ABN SUlot (%Span)

LEVEL (volt )

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 (psia)(I) Il0 +I) ()(-)(+)I) (- ) I + (- ) I( (+-

l Z I +) ( - l(+

14.7 1.94 1.99 1.94 1.99 1.95 2.01 2.06 2.12 2.26 2.31 2.51 2.56 2.65 2.70 2.79 2.85 2.87 2.92 50.0 1.98 2.04 1.98 2.04 1.99 2.04 2.04 2.09 2.13 2.19 2.26 2.32 2.34 2.39 2.42 2.47 2.46 2.52 100.0 2.03 2.08 2.02 2.08 2.03 2.08 2.04 2.10 2.08 2.14 2.14 2.20 2.18 2.24 2.22 2.28 2.24 2.30 150.0 2.06 2.12 2.06 2.12 2.06 2.12 2.07 2.13 2.09 2.15 2.12 2.18 2.15 2.20 2.17 2.23 2.18 2.24 300.0 2.14 2.20 2.13 2.20 2.13 2.20 2.14 2.20 2.15 2.21 2.17 2.23 2.18 2.24 2.19 2.25 2.20 2.26 450.0 2.20 2.27 2.20 2.27 2.20 2.26 2.21 2.27 2.23 2.29 2.25 2.32 2.27 2.34 2.29 2.36 2.31 2.37 600.0 2.27 2.33 2.27 2.33 2.27 2.33 2.27 2.33 2.28 2.35 2.31 2.37 2.32 2.39 2.34 2.41 2.35 2.42 750.0 2.33 2.40 2.33 2.40 2.33 2.40 2.33 2.40 2.35 2.42 2.37 2.44 2.39 2.46 2.41 2.47 2.42 2.48 900.0 2.40 2.47 2.40 2.47 2.39 2.46 2.40 2.47 2.41 2.48 2.43 2.50 2.44 2.51 2.45 2.53 2.46 2.53 1050.0 2.47 2.54 2.47 2.54 2.46 2.54 2.46 2.54 2.47 2.55 2.49 2.57 2.51 2.58 2.52 2.60 2.53 2.61 1214.7 2.54 2.62 2.54 2.62 2.54 2.62 2.54 2.62 2.54 2.62 2.55 2.63 2.55 2.63 2.56 2.64 2.56 2.64 ABN SUlot-TOTAL OUTPUT LOOP ERROR (%Span)

TABLE 5.4.4.16

__ ACC SUIot (%Span)

______LEVEL Nvo S)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5

- I f +(-) {-) + If + )( - I (+)

14.7 3.83 11.59 3.83 11.59 3.83 11.59 3.88 11.63 3.96 11.72 4.07 11.83 4.14 11.90 4.22 11.98 4.26 12.02 50.0 3.95 11.98 3.95 11.98 3.96 11.98 3.97 12.00 4.01 12.04 4.06 12.09 4.09 12.12 4.13 12.16 4.15 12.18 100.0 4.06 12.32 4.06 12.32 4.06 12.32 4.07 12.33 4.08 12.34 4.11 12.37 4.12 12.38 4.14 12.40 4.14 12.40 150.0 4.15 12.59 4.15 12.59 4.15 12.59 4.15 12.59 4.16 12.60 4.17 12.61 4.18 12.62 4.19 12.63 4.19 12.63 300.0 4.35 13.22 4.35 13.22 4.35 13.22 4.35 13.22 4.35 13.22 4.36 13.23 4.36 13.23 4.37 13.24 4.37 13.24 450.0 4.52 13.76 4.52 13.76 4.52 13.76 4.52 13.76 4.53 13.76 4.54 13.78 4.55 .13.78 4.55 13.79 4.56 13.79 600.0 4.69 14.27 4.69 14.27 4.69 14.27 4.69 14.27 4.69 14.28 4.70 14.28 4.71 14.29 4.71 14.30 4.71 14.30 750.0 4.85 14.78 4.85 14.78 4.85 14.78 4.85 14.78 4.85 14.79 4.86 14.79 4.87 14.80 4.87 14.81 4.88 14.81 900.0 5.01 15.30 5.01 15.29 5.01 15.29 5.01 15.29 5.02 15.30 5.02 15.30 5.03 15.31 5.03 15.31 5.04 15.32 1050.0 5.19 i5.83 5.19 15.83 5.18 15.83 5.19 15.83 5.19 15.83 5.20 15.84 5.20 15.84 5.21 15.85 5.21 15.85 1214.7 5.38 16.44 5.38 16.44 5.38 16.44 5.38 16.44 5.38 16.44 5.38 16.44 5.39 16.44 5.39 16.44 5.39 16.45 A-Q SW1Ot-TI OT AL QUHU LOOPz ERROR (°/6-ppan

ANO-1 Calculation No. DRN 05-3577 Pg 3E of S3 Page 219 of 302 80-D-1083C-01, Rev. 7 5.4.6 TIME RESPONSE FOR TRIP FUNCTIONS COMPONENT TIME Transmitter 0.500 Sec. [5.6.8]

IN Converter 0.100 Sec. [5.6.15]

V/A Converter 0.100 Sec. [5.3.27]

IEFIC Time Delay Bistable 10.400 Sec. DRN 05-3577 [5.3.28]

Trip Interface Equipment (TIE) 0.025 Sec. [5.6.421 ITotal Time Response 11.125 Sec. DRN 05-3577

ANO-1 Calculation No. DRN 05-3577 Pg .L of S3 Page 220 of 302 80-D-1 083C-01, Rev. 7 5.

5.0 CONCLUSION

S The instrument uncertainty for the ANO-1 EFIC Channel A & B level bistable, SG Low Level Initiate (SUl o) is calculated below:

SG Low Level Initiate (SUI o)

The output error for each of these bistables is the output error determined at the output of the EFIC Bistable Modules.

REF SUo 1 = _ 2.23 %SPAN = +/- 3.35 inches IABN SUI ot2 1ABN SUlot 2

=

=

+

2.62 2.54

%SPAN

%SPAN DRN 05-3577

=

=

+

3.92 3.81 inches inches IACC SUlot' lACC SUI of

=

=

+

16.45 %SPAN 5.39 %SPAN

=

=

+

24.67 inches 8.08 inches lNote: 1. These results are the worst cases (i.e. greatest possible errors) found in DRN Tables 5.4.4.10, and 5.4.4.16.

05-3577 2. These values reflect Assumption & Given Condition 5.3.31.

Reference these tables if uncertainties are required at specific levels/pressures.

The instrument uncertainty for the ANO-1 EFIC Channel A & B Low Range Level Control (LRLo) is calculated below:

SG Low Range Level Control (LRLo)

The output error for Low Range Level Control is the output determined at the output of the EFIC Control Modules.

REF LRLo = + 1.05 %SPAN = +/- 1.57 inches 7jABN LRLo = + 1.27 %SPAN = + 1.91 inches

= - 1.27 %SPAN = - 1.90 inches 71ACC LRLo = + 5.21 %SPAN = + 7.81 inches

= - 1.85 %SPAN = - 2.77 inches 71Note: These results are the worst cases found in Tables 5.4.5.10, 5.4.5.15, and 5.4.5.16.

Reference these tables if uncertainties are required at specific levels/pressures.

ANO-1 Calculation No. DRN 05-3577 Pg 4o of 83 Page 221 of 302 80-D-1083C-01, Rev. 7 SETPOINT EVALUATION 7jSG Low Level Initiate (SU1)

Credit is only taken for the initiation of EFW using this setpoint under the conditions of normal reactor building environment. Therefore, the uncertainties for the Abnormal Condition will be used in setpoint evaluation. Per Reference 5.6.45, the process limit for SG Low Level Initiate is 6 inches above the lower tubesheet (LTS). Since this trip provides protection for a r- decreasing level, the bistable positive abnormal error terms will be used.

0 Calc. Setpoint = Analytical Umit + Total Loop Error + Margin to Lower Tap Z 6.0 + ABN SU1 ot(+) + 0.5 a = 6+ 3.92 + 0.5

= 10.42 inches (above LTS)

Note also that the Technical Specifications provide an Allowable Value of 9.34 inches (Ref. 5.6.11).

The calculated Allowable Value using guidance provided in Reference 5.6.43 isshown below.

Test Error = ((RA 2 + CAL 2 + DR2 )" 2 )%SPAN Note: Dtol will be used in place of RA DRN where applicable (Dtol = 0.650 %

05-3577 SPAN or 0.975 inches)

IDRN = 0.721 %SPAN 05-3577 = 1.08 inches Allowable Value = CaIc. Setpoint - Test Error

= 9.34 inches The in-plant setpoint of 5.0 Inches above the lower tap (11.0 i 0.975 inches above the LTS) is o conservative with respect to the Allowable Value. Note that the Total Loop Error, Test Error and Z the as-left bistable tolerance (see Dtol above) support the Technical Specification Allowable o Value (Ref. 5.6.11) of 9.34 inches.

SG Low-Range Level Control (LRL)

This setpoint is used when adequate subcooling margin exists (at least one RC pump is operating). Since any inventory in the generator will be adequate to remove core decay heat, the process limit should correspond to to the lower tap elevation, 6 inches above the LTS.

The low-range level setpoint is currently 31 inches above the LTS. Since this setpoint provides protection for a decreasing level, the bistable positive accident error terms will be used.

Setpoint = Analytical Limit + Total Loop Error

= 6+ ACC LRLot(+)

= 6+ 7.81

= 13.81 inches (above LTS)

The present setpoint of 31 inches (above the LTS) is conservative with respect to this calculation.

ANO-1 Calculation No. DRN 05-3577 PgtL of 63 Page 222 of 302 80-D-1083C-01, Rev. 7 5.

6.0 REFERENCES

5.6.1 Design Guide IDG-001 -0, Instrument Loop'Error Analysis and Setpoint Methodology Manual.

5.6.2 ANO Engineering Standard NES-13, Rev. 1, Environmental Qualification -Environmental Service Conditions.

5.6.3 ASME Steam Tables, Sixth Edition.

5.6.4 Calculation No. 92-EQ-0003-01, Rev. 5, Specific IR Effects Calculation.

5.6.5 SIMS, As of the calculation origination date.

5.6.6 ANO-1 System Training Manual, STM 1-66, Rev. 5, Emergency Feedwater Initiation and Control System.

5.6.7 Procedure No. 1304.206, Rev. 4, Unit 1 EFIC Channel B Monthly Test, SG Pressure Greater Than 750 PSIG.

15.6.8 TM R370.001 0 Rev. 23, TD R370.0160, Rev. 5, Rosemount Pressure Transmitters for Nuclear Service Model 1154 Alphaline. DRN 05-3577 5.6.9 Conduct of Maintenance Procedure 1025.003, Rev. 43-01.

5.6.10 TM B015.0580, Rev. 5, Technical Manual For Unit 1 Emergency Feedwater and Initiation and Control System.

15.6.11 ANO-1 Technical Specifications Submittal 1CAN01 0601. DRN 05-3577 5.6.12 ANO Document No. MISC-96-022, Letter from Neil P. Uen (Rosemount) to Bob McCain (Entergy Operations) dated September 20,1990 Regarding Rosemount transmitter specifications.

5.6.13 TM F1 80.9080, Rev. 0, Instruction Book 3252 For Foxboro Single Nest Power Supply 2AX + PS9 Series.

5.6.14 ULD-1-SYS-12, Rev. 3, ANO-1 Emergency Feedwater System.

5.6.15 TD F1 80.3250, Rev. 2, Instruction Current to Voltage Converter Models 4 to 20 mA, Isolated, Styles A and B.

5.6.16 Document No. ICAN038104.

5.6.17 ANO-97-00107, Foxboro Fax, dated February 17,1997.

5.6.18 TD F180.3380, Rev. 1,Technical Information Voltage to Current Converter Model 2AO-V21, Isolated 4 to 20 mADC.

ANO-1 Calculation No. DRN 05-3577 Pg4Z of _3 Page 223 of 302 80-D-1 083C-01, Rev. 7 5.6.19 ANO Engineering Report, 95-R-001 3-01, Rev. 0; Control Room Post Accident Requirements.

5.6.20 B & W Document Identifier 51-1142173-00, EFIC System Accuracies.

I5.6.22 5.6.21 ANO-1 Calculation No. 92-R-1 023-01, Rev. 0.

Procedure No. 1304.098, Rev. 016-00-0, Unit 1 EFIC Channel A Calibration.

DRN 05-3577 5.6.23 Procedure No. 1304.099, Rev. 017-00-0, Unit 1 EFIC Channel B Calibration.

5.6.24 Vendor Drawing No. 58526-022-1, Rev. 1, B&W Emergency Feedwater Initiation and Control System Assembly.

5.6.25 ANO-1 Drawing No. E-258, sheet 1A, Rev. 1, Wiring Block Diagram Emergency Feedwater Initiation and Control (EFIC).

5.6.26 ANO-1 Drawing No. E-258, sheet I B, Rev. 1, Wiring Block Diagram Emergency Feedwater Initiation and Control (EFIC).

5.6.27 M-204, Sh. 4, Rev. 11, Piping & Instrument Diagram Emergency Feedwater.

5.6.28 M-206, Sh. 1, Rev. 117, Piping & Instrument Diagram Steam Generator Secondary System.

5.6.29 Vendor Drawing No. 58526-244, Rev. 0, EFIC Module Connection Diagram SGA Channel A & B.

5.6.30 Vendor Drawing No. 58526-245, Rev. 0, EFIC Module Connection Diagram SGB Channel A & B.

5.6.31 ANO-1 Drawing No. FSK-M-1 054, Rev. 2, Emergency Feedwater Initiation and Control System Tube Routing for LT-2671 and LT-2673.

5.6.32 ANO-1 Drawing No. FSK-M-1 059, Rev. 3, Emergency Feedwater Initiation and Control System Tube Routing for LT-2667 and LT-2669.

5.6.33 ANO-1 Drawing No. FSK-M-1 063, Rev. 3, Emergency Feedwater Initiation and Control System Tube Routing for LT-2618 and LT-2620.

5.6.34 ANO-1 Drawing No. FSK-M-1 065, Rev. 2, Emergency Feedwater Initiation and Control System Tube Routing for LT-2622 and LT-2624.

5.6.35 ANO Vendor File V43, Item #107, Rosemount Type Test Report D8600063, Low Level Radiation Dose Rate Test Small Break LOCA Test.

5.6.36 B&W Document Identifier 51-1163812-00.

PkNO-1 Calculation No. DRN 05-3577 Pg'3 of 83 Page 224 of 302 80-D-1 083C-01, Rev. 7 5.6.37 ANO-1 Calculation No. 95-R-1 025-01, Rev. 1, ANO-1 Safety Analysis Groundrules-Cycle 14.

5.6.38 Not Used.

X 5.6.39 Procedure No. 1304.145, Rev. 028-00-0, Unit I EFIC Channel A Monthly Test.

LO z 5.6.40 Procedure No. 1304.146, Rev. 028-00-0, Unit 1 EFIC Channel B Monthly Test.

5.6.41 Procedure No. 1304.205, Rev. 012-00-0, Unit 1 EFIC Channel A Monthly Test, SG Pressure Greater Than 750 PSIG.

5.6.42 Vendor Technical Manual, TM B015.0600, Rev. 1; Section 3.1, drawing S9N76-1, and drawing KGU431 K.

715.6.43 ISA-RP67.04.02-2000, Methodologies for the Determination of Setpoints for Nuclear I Safety-Related Instrumentation.

5.6.44 ER-ANO-2005-0871-000, ERCNI DRN 05-3577 5.6.45 ANO Calculation A1-NE-2005-005, Rev. 0, "ANO-1 Revised EFIC Low Level Setpoint Summary Report.

ANO-1 Calculation No. DRN 05-3577 Pg 4 of 3 Page 225 of 302 80-D-1 083C-01, Rev. 7 ATTACHMENT 5-1 IEFIC LOW RANGE LEVEL TRANSMITTER CALIBRATION DRN 05-3577 PURPOSE IThe purpose of this attachment is to give the basis for the calibration of the EFIC low range steam generator level transmitters. DRN 05-3577 SCOPE This attachment is applicable to the following level transmitters:

LT-2618 SGA Low Range Level Transmitter (Channel A)

LT-2622 SGA Low Range Level Transmitter (Channel B)

LT-2667 SGB Low Range Level Transmitter (Channel A)

LT-2671 SGB Low Range Level Transmitter (Channel B)

ASSUMPTIONS AND GIVEN CONDITIONS

1) The high pressure side of the transmitter is connected to the lower tap at 6" above [5.6.6]

the lower tube sheet (LTS).

2) The low pressure side of the transmitter is connected to the upper tap at 156" above [5.6.6]

the LTS.

3) The upper tap is 100% level and the lower tap is 0% level.
4) The water in the reference leg is assumed to be at 120*F.
5) The water in the steam generator is assumed to be at 212"F.
6) The steam in the steam generator Is assumed to be at 212'F.
7) The transmitter is direct acting, 4-20 mADC for 0%-1 00% level.
8) The transmitter static span shift is +0.75% of differential pressure input per 1000 psi [5.6.81 static pressure.
9) 27.753 "H2 0/psi will be used In converting psi to "H 20 (based on 680F). [5.6.3]
10) The transmitter static span shift is determined based on the normal operating pressure of 900 psig.

ANO-1 Calculation No. DRN 05-3577 Pg l45of S3 Page 226 of 302 80-D-1 083C-01, Rev. 7 CALCULATIONS

1) Reference Leg Fluid Density ( pR)

Per Reference 5.6.3, the specific volume of water at 120°F is 0.016204 ft3llbm.

The density is the reciprocal of the specific volume, or 61.7132 Ibm/ft3 .

Dividing by 1728 to convert to inches: 0.03571 IbmAn3 .

2) Steam Generator Water Density ( Pw)

Per Reference 5.6.3, the specific volume of water at 2120 F is 0.016719 ft3 /bm.

The density is the reciprocal of the specific volume, or 59.8122 Ibm/ft3.

Dividing by 1728 to convert to inches: 0.03461 IbmAn .3

3) Steam Generator Steam Density ( ps)

Per Reference 5.6.3, the specific volume of steam at 2120 F is 26.799 ft3 /Ibm.

The density is the reciprocal of the specific volume, or 0.0373 Ibm/ft3 .

Dividing by 1728 to convert to inches: 3 2.16E-05 Ibm/in .

4) Height of the Reference Leg (H R)

HR = 156-6= 150Iinches [5.6.6]

5) Height of Water (H w) and Height of Steam (H s) at 0% Level Hw(0%) = 0 inches Hs(0%) = 150 inches
6) Height of Water (H w) and Height of Steam (H s) at 100% Level Hw(100%) = 150 inches HS(100%) = 0 inches
7) Differential Pressure at 0% Level (DP 0)

DPo = Pressure Hi Side (P H) - Pressure Lo Side (P L)

= [Hw(0%)*pw + Hs(O%)*ps] - [HR*PR]

e [Hs(0%)*psl - [HR*PR1

= -5.353 psi

= -148.56 -H20

8) Differential Pressure at 100% Level (DP 100)

DPj 00 = Pressure Hi Side (P H) - Pressure Lo Side (PL)

= [Hw(1 00 %)*pw + Hs(1 O%)*ps] - [H R*pR]

= [Hw(10O%)*pw] - [HR*PR1

-0.165 psi

-4.58 "H2 0

9) Span Span DP1 00 - DPo 143.98 "H2 0

ANO-1 Calculation No. DRN 05-3577 Pg 4 of 83 Page 227 of 302 80-D-1 083C-01, Rev. 7

10) Derive Static Pressure Correction Factor Equation Using the procedure outlined in Reference 5.6.8:

CFmADC = (0.0075)(static pressure /1000 psi)x(DPinput XK 16 mADC Span CF.ADC = (0.0075)(900/1000Osi)x(DPinnut) X 16 mADC 143.98 CFmADC = (0.00675)x(DPinout) X 16 mADC 143.98

11) Derive Low Range Calibration Table With and Without Correction Factor Desired INPUT INPUT Uncorrected CF Corrected

(%Span) ('H 2O) (mADC) (mADC) (mADC) 0.39 148 4.062 -0.111 3.951 24.70 113 7.952 -0.085 7.867 49.01 78 11.841 -0.059 11.783 73.32 43 15.730 -0.032 15.698 97.62 8 19.620 -0.006 19.614

ANC)-1 Calculation No. DRN 05-3577 Pg+/-1 of 83 Page 22.8 of 302 80-D-1 083C-01, Rev. 7 6.0 EFIC SYSTEM CHANNELS C & D LOW RANGE LEVEL 6.1.0 PURPOSE/SCOPE 6.1.1 PURPOSE The purpose of this section of this calculation is to determine the accuracy of the level loops associated with the ANO-1 Emergency Feedwater Initiate and Control (EFIC) System, Channels C & D. The specific loop of interest is the SG Low Level Initiate.

See Figure 1 for the block diagram.

6.1.2 SCOPE This Section is applicable to the following instrument loops:

Unit Instrument Looa No. Service 1 LT-2668 SGA Level 1 LT-2617 SGB Level I LT-2672 SGA Level I LT-2621 SGB Level The errors will be calculated for the Reference, Abnormal and Accident Conditions.

The loop output error is calculated for the following output devices:

Instrument Device Function EFIC Channel C: C37-3-TDB-C45 SG A Low Level Initiate EFIC Channel C: C37-3-TDB-C55 SG B Low Level Initiate EFIC Channel D: C37-4-TDB-D45 SG A Low Level Initiate EFIC Channel D: C37-4-TDB-D55 SG B Low Level Initiate

ANO-1 Calculation No. DRN 05-3577 PgtB of 83 Page 229 of 302 80-D-1 083C-01, Rev. 7 6.

2.0 INTRODUCTION

The ANO-1 Emergency Feedwater Initiation and Control (EFIC) System is an instrumentation system that monitors selected plant conditions and automatically Initiates the Emergency Feedwater (EFVV) System upon detection of abnormal conditions. The EFW System is required for the accident analysis of Loss of Feedwater for EFW Sizing (Ref. 6.6.36), Main Steam Line Break, Small Break LOCAs and Loss of All Unit AC Power (Ref. 6.6.14).

The SG level signals are corrected for process density changes relative to the calibration density values. As depicted in the block diagram (Figure 1), the inputs into the compensation module consist of a level signal and a pressure signal. Per Reference 6.6.10, these signals are combined using the equation below to produce the output signal that represents the compensated level signal.

vo= 1 + 23 .91*(APLr 2 .5) - 4.0*pts where vo is the output voltage fed to Pw - Pst the Bistables.

Inthe equation above, APL is the level signal corresponding to the SG level transmitter signal prior to density compensation (volts) pw Is the density of water corresponding to the SG pressure transmitter signal. The density values are stored in EPROM and are retrieved based on the pressure signal. (lb/ftA3) pat is the density of steam corresponding to the SG pressure transmitter signal. The density values are stored in EPROM and are retrieved based on the pressure signal. (lb/ftA3)

All errors are converted to units of volts for a consistent analysis throughout the EFIC System modules. The equation above is used to determine the expected output voltage and the output voltage with maximum errors included. The output voltage with maximum errors is compared to the expected output voltage to determine the loop uncertainty. The resulting uncertainty is then combined with the manufacturers specifications for the EFIC System.

SG LOW LEVEL INITIATE The Low SG Level Initiate setpoint for EFIC determines the level at which emergency feedwater i (EFW) is initiated during Loss of Main Feedwater (LOFVW) events. The in-plant setpoint evaluated per z E Reference 6.6.39 is 11.0 inches above the lower tube sheet (5.0 inches above the lower tap). This Qi setpoint will be evaluated with respect to the instrument uncertainty in the Conclusions Section.

The statistical method of the Square Root of the Sum of Squares (SRSS) is used to determine the random error on a component level and for the loop. Non-random errors are combined via simple addition with the random error term to establish the total error.

This calculation is done with the guidelines set forth in the Instrument Loop Error Analysis and Setpoint Methodology Manual (Ref. 6.6.1).

All percentages are expressed in terms of span unless otherwise noted.

All terms are considered random error terms unless noted by a lower case 'b" suffix to indicate a bias or non-random error term or t suffix to indicate a total of bias and random terms.

ANO-1 Calculation No. DRN 05-3577 Pg 44 of $3 Page 230 of 302 80-D-1 083C-01, Rev. 7 6.3.0 ASSUMPTIONS AND GIVEN CONDITIONS 6.3.1 The minimum and maximum temperatures expected for the transmitter reference leg fluid, 7 during normal operation, are 1040F and 11 8F, respectively. These values are conservative per Reference 6.6.38, Table 1 for elev. 336'.

6.3.2 The maximum temperature expected for the transmitter reference leg fluid, during accident cond itons, is285'F. This value is found in Reference 6.6.2, Appendix A. For the calculation of the process measurement error, it is assumed that the reference leg fluid does not flash. Therefore, the density istaken from Reference 6.6.3 for 285°F and 54 psia (PSAT).

6.3.3 The operating pressure range is assumed to be limited by the pressure inputs from the pressure loops (Ref. 6.6.7). Therefore, the operating pressure range is 0 to 1200 psig.

6.3.4 Per Reference 6.6.8, the static pressure zero and static pressure span errors are correctable during calibration. Per Attachment 6-1 and References 6.6.22 and 6.6.23, the transmitter is calibrated based on a static pressure of 900 psig. The minimum and maximum operating static pressures are 0 psig and 1200 psig, respectively.

Since the transmitters are corrected for a static pressure of 900 psig (Pcor), the static pressure uncertainties will be computed using the maximum deviation from 900 psig, or 900 psi (900 - 0 psig). In addition, to maximize the static pressure span error, the maximum reading of 100% will be used.

6.3.5 Per Reference 6.6.8, static pressure causes a systematic span shift of -0.75% of input per 1000 psi increase which is correctable by applying a correction factor during calibration. Per Attachment 1 and References 6.6.22 and 6.6.23, a correction factor is applied during calibration based on a static pressure of 900 psig. A bias error is introduced when the actual operating static pressure deviates from the calibration pressure of 900 psig. A negative bias occurs for a deviation above 900 psig and a positive bias occurs for a deviation below 900 psig. The deviations are based on the minimum and maximum operating pressures (0 psig and 1200 psig).

In addition, the maximum DP input (100%) is used in that it yields the maximum, i.e.

the most conservative, error.

6.3.6 Individual error terms less than 0.05%Span are considered negligible (Ref. 6.6.1).

Where a note to this effect has been provided, the error is not provided in the calculations. However, where error terms less than 0.05%Span exist in error analyses, they are used in calculations though the impact is negligible.

6.3.7 The measurement and test equipment (M&TE) used at ANO is controlled by a program to ensure traceability is maintained. In accordance with Reference 6.6.9, M&TE specified for use in calibration of instrumentation should have an accuracy at least two times that of the instrument being calibrated unless authorized by responsible management. Unless otherwise noted, the Calibration Error Effect for all devices is based upon using M&TE which is twice as accurate as the devices being calibrated. The calibration uncertainty assumes there are calibration devices on the input and output of the device being calibrated.

ANO-1 Calculation No. DRN 05-3577 Pg 60 of S3 Page 231 of 302 80-D-1083C-01, Rev. 7 6.3.8 For purposes of determining Temperature Effect (TE) for the differential pressure transmitter, a variation of 50'F is used. This assumes a calibration temperature of 60'F and an Abnormal Temperature of 11 0IF (Ref. 6.6.2). For accident conditions, a variation of 2250F is used. This assumes the maximum temperature in an accident of 2850 F (Ref. 6.6.2).

6.3.9 Unless otherwise noted, the line voltage is assumed to be 120 VAC with a variance of +/-10 VAC and the DC power supplies are assumed to have a variance of i10% rated voltage.

These variances are assumed to be conservative per Reference 6.6.1.

6.3.10 Per Reference 6.6.8, the Rosemount transmitter drift is 0.20%URL over a 30 month period. References 6.6.22 and 6.6.23 indicate that the transmitters are calibrated every 72 weeks or 18 months. Tech Specs (Ref. 6.6.11) allow a 25%

extension, making the calibration interval 22.5 months. Since the calibration interval is within the vendor supplied drift specification, the 0.20%URL will be used as a bounding drift error.

6.3.11 Per Reference 6.6.12, the normal error specifications for the transmitter, given by the vendor, are accurate to three sigma. All other specifications are two sigma values, therefore, the normal transmitter specifications will be multiplied by 2/3 to convert them to two sigma values before combining them with other two sigma values.

6.3.12 Per Reference 6.6.20, each component within the EFIC Compensation Module has an accuracy of 0.25%SPAN and the EFIC Bistable Module has an accuracy of 0.20%SPAN.

The SG Low Level Initiate Bistable loop uses four components in the Compensation Module along with the Bistable (Refs. 6.6.29 and 6.6.30). Therefore, the reference accuracy for SUI is assumed to be the SRSS of the accuracies for four Compensation Module components and the Bistable Module, or 0.539%SPAN.

6.3.13 The maximum normal temperature extremes for the Auxiliary Building is listed as 60 to 105 'F (Ref. 6.6.2).

6.3.14 The radiation effect for the transmitters Is given in Reference 6.6.26 as +/-1 .0%URL for doses less than 1 MRadI hr and a TID less than 5 MRads. Reference 6.6.13 gives a dose of 2.1 MRads over a 3 year period for a Small Break LOCA. Although the dose given in Reference 6.6.13 may not bound all SBLOCA cases, it is assumed that doses will remain lower than 5MRads.

6.3.15 The MTE used to calibrate the EFIC Modules is much more accurate than one-half the accuracy of the devices being calibrated (Ref. 6.6.22 and 6.6.23). Therefore, in lieu of using RA/2 for the MTE accuracy (6.3.7), the actual accuracy of the MTE (+/-O.125%) will be used.

6.3.16 The vendor did not supply a temperature effect or power supply effect error specification for the EFIC modules. Based on the small deviations in both the Control Room temperature and the power supply voltage, and based on similar devices in the Control Room, It Is assumed that these deviations will have a negligible effect on the loop error.

ANO-1 Calculation No. DRN 05-3577 Pg. 51 of t3 Page 232 of 302 80-D-1083C-01, Rev. 7 6.3.17 The vendor for the EFIC system did not provide any drift data for the components.

Given the reference accuracy of the combination of the EFIC compensation module and bistable is 0.539 %span per 6.3.12 above, a drift allowance of approximately half of RA or 0.250 % is considered reasonable. This drift allowance will be increased to 0.258 % span by increasing it by a factor of 31130 to account for the former 30 day vs. 31 day test frequency M presently required by Technical Specifications.

z 6.3.18 The vendor specifies that the 625-ohm input resistor is a precision resistor (Ref. 6.6.10).

Per Reference 6.6.24, the resistor tolerance is +/-0.01%. The maximum errorwill result from maximum input, or 20 mADC and is determined as follows:

[625 + (.01%

  • 625)] * .02 A = 12.501 volts The maximum voltage (without error) would be 12.5 volts. Therefore, the error in percent span is (12.501-12.5)Ispan*100%= 0.0125 %Span. The error will be considered negligible per Assumption 6.3.6.

6.3.19 Per Reference 6.6.19, the Control Room temperature is 750 F with a temperature variance of +/-9 0F for the Abnormal and Accident Conditions.

16.3.20 The SG Low Level Initiate Bistable has a 9.900 second time delay (Ref. 6.6.39). The DRN 05-357 bistables are tested and assumed to be acceptable with a +/-0.5 second tolerance (Refs.

l 6.6.22 and 6.6.23). Therefore, the time response analysis will assume a 10.400 second delay.

second delay.

I6.3.21 The calibration procedures state that the Low SG Level Initiate Bistable is calibrated to 0.650%SPAN. This is slightly greater than the reference accuracy (RA) of 0.539% Span DRN listed in Section 6.4.4.2 and less than the former tolerance of 1.0% Span. Therefore, a 05-3577 setting tolerance (ST) will be added to the reference accuracy (RA) to obtain a device l tolerance (Dtol) of 0.650% SPAN.

I6.3.22 EFIC initiates on a low level of 11 inches above the lower tube sheet or 5 inches of calibrated span (3.3 % span, rounded), this is equivalent to an uncompensated voltage level of DRN approximately 2.833 volts or 2.84 volts (rounded). This trip is credited for a Loss of Feedwater 05-3577 (LOFW) event which does not assume a main steam or main feedwater line break. For LOFW the actual SG pressure would be expected to remain the same or increase above normal operating pressure at the time of trip intitiation. Table 6.4A.15 shows that for the range of bistable voltages from 2.5 to 6.0 vdc and for pressures equal to or greater than 900 psia the abnormal low level initiate bistable uncertainty (ABN SUlot) is bounded by

+2.02 -1.95 % Span.

I

ANO-1 Calculation No. DRN 05-3577 Pg U of '93 Page 233 of 302 80-D-1083C-01, Rev. 7 6.6.4.0 ANALYSIS 6.6.4.1 FIGURE 1: BLOCK DIAGRAM-EFIC CHANNELS C & D [6.6.25, 6.6.27, 6.6.28, 6.6.29, 6.6.30]

EFIC SYSTEM MODULES Ch. C SGA LT-2668 Ch. C SGB LT-2617 Ch. D SGA LT-2672 Ch. D SGB LT-2621 SG Low Level

  • Initiate Bistable (SUbO)

SG Pressure (Fig 1, Sec 2.4.1 PRS Ch. C SGA Pressure Ch. C SGB Pressure Ch. D SGA Pressure Ch. D SGB Pressure

ANO-1 Calculation No. DRN 05-3577 Pg 53 of 83 Page 234 of 302 80-D-1083C-01, Rev. 7 6.4.2 SG PRESSURE (PRS)

The Steam Generator pressure signals for EFIC Channels C and D come from the following pressure transmitters:

PT-2617A PT-2617B PT-2668A PT-2668B The loop error analysis for the above pressure transmitter loops is calculated in Section 2.0. The following errors C'R1 o" from Section 2.0) for the Reference, Abnormal and Accident conditions are the errors associated with the pressure signal that is input to the EFIC density compensation module:

REF PRSo = +/- REF RIo (from Sect. 2.0)

REF PRSo = +/- 0.427 %Span = +/- 5.1 psi (Sect. 2.0]

ABN PRSo = i ABN RIo (from Sect. 2.0)

ABN PRSo = i 0.895 %Span = +/- 10.7 psi [Sect. 2.0]

ACC PRSo = +/- ACC Rio (from Sect. 2.0)

ACC PRSo = i 0.895 %Span = +/- 10.7 psi [Sect. 2.0]

ACC PRSob = ACC RI ob (from Sect. 2.0)

ACC PRSob = +

0.000 %Span = + 0.0 psi [Sect. 2.0]

ACC PRSob = 0.070 %Span = - 0.8 psi (Sect. 2.0]

Note: The errors are converted from %Span to units of psi since the density computation error (Section 6.4.4) is based on variations from actual SG pressure.

ANO-1 Calculation No. DRN 05-3577 Pg 54 of 65 Page 235 of 302 80-D-1083C-01, Rev. 7 6.4.3 SG LEVEL (LVL)

The Steam Generator level signals for EFIC Channels C and D come from the following level transmitters:

LT-2668 LT-2617 LT-2672 LT-2621 The loop error analysis for the above level transmitter loops is calculated in Sections 6.4.3.1 through 6.4.3.4 of this calculation. The errors C'R1o" of Section 6.4.3.4) for the Reference, Abnormal and Accident conditions are summarized as follows:.

REF LVLo = + REF Ri o (from 6.4.3.4) 71REF LVLo = _ 0.427 %Span = +/- 0.043 volts [Sect. 6.4.3.4]

ABN LVLo =

ABN Ri o (from 6.4.3.4) 7JABN LVLo 0.700 %Span = +/- 0.070 volts [Sect. 6.4.3.4]

= _

ACC LVLo ACC RIo (from 6.4.3.4) 71ACC LVLo 3.321 %Span = +/- 0.332 volts [Sect. 6.4.3.4]

ABN LVLob = ABN Ri ob (from 6.4.3.4) 71ABN LVLob . 0.675 %Span = + 0.068 volts [Sect. 6.4.3.4]

IABN LVLob 0.622 %Span = - 0.062 volts [Sect. 6.4.3.4]

ACC LVLob ACC RI ob (from 6.4.3.4) 71 ACC LVLob 7.982 %Span = + 0.798 volts [Sect. 6.4.3.4]

ACC LVLob 0.225 %Span = - 0.023 volts [Sect. 6.4.3.4]

Note: The errors have been converted from %Span to units of volts since the loop errors within the EFIC System Modules will be calculated in volts. The input resistor, RI from Section 6.4.3.4, is 625 Q which makes the span 10 volts.

ANO-1 Calculation No. DRN 05-3577 Pg 5 of 83 Page 236 of 302 80-D-1083C-01, Rev. 7 6.4.3.1 PROCESS MEASUREMENT ERROR (PME)

The process measurement error (PME) for this closed level loop is caused by density changes in the reference leg fluid due to ambient temperature variations. Since the loop is pressure compensated (Ref. 6.6.10), the density changes due to system pressure variations do not cause a process measurement error.

As the reference leg fluid temperature varies from the temperature assumed during calibration, the density of the reference leg fluid changes, causing the transmitter to sense a different differential pressure than expected, thus causing a bias process measurement error. The error will be positive when the reference leg temperature is greater than that assumed during calibration, and negative when the reference leg temperature is less than that assumed during calibration.

The assumed calibration conditions are given as follows: [At. 6-1]

Span = 143.99 "H2 0 (span of transmitter)

HR a 150 inches (height of reference leg)

Reference Leg Fluid:

TCAL = 120 0F (temperature assumed at calibration)

SVCAL = 0.016204 ft3/Ibm (specific volume H 20 @ 1200 F)

PCAL 61.7132 Ibm/ft3 (density assumed at calibration)

PCAL = 0.0357 Ibm/in3 (density assumed at calibration)

The error introduced by variations in the reference leg fluid density is calculated for the abnormal and accident conditions as follows:

ABNORMAL CONDITIONS Reference Leg Fluid: [6.3.1]

TMIN = 104 0F (minimum temperature)

SVMIN = 0.016142 ft3Abm (specific volume H 20 @ 100OF) [6.6.3]

PMAX = 61.9502 Ibm/ft3 (density at T MIN)

= 3 0.0359 Ibm/in (density at T MIN)

PMAX TMAX = 118 OF (maximum temperature)

SVMAX = 0.016192 ft3/Ibm (specific volume H 20 @ 154¶F) [6.6.31 PMIN = 61.7589 Ibm/ft 3 (density at TMAN PMIN = 0.0357 Ibm/in3 (density at T MAX) eDP(-) = HR * (PCAL- PMAO) [6.6.1]

= -0.02058 psi

= -0.571 "H12 = -0.397 %Span eDP(+) = HR * (PCAL - PMIN) [6.6.11

-0.00397 psi

-0.110 "H2 0 = -0.077 %Span

ANO-1 Calculation No. DRN 05-3577 Pg 56 of 85 Page 237 of 302 80-D-1 083C-01, Rev. 7 ACCIDENT CONDITIONS Reference Leg Fluid: [6.3.21 TMAX = 285 OF (maximum temperature)

SVMAX = 0.01726 ftW/Ibm i (specific volume H 20 @ 2850F) [6.6.31 PMIN = 57.9374 Ibm/ft : (density at T MAX)

PMIN = 0.0335 IbmAn I (density at T MAo) eDP(+) = HR * (PCAL - PMIN) 16.6.11

= 0.32775 psi

= 9.096 1H2O = 6.317 %Span

SUMMARY

OF PROCESS MEASUREMENT ERROR (PMEb):

ABN PMEb = + N/A %Span

= 0.397 %Span ACC PMEb = + 6.317 %Span

ANO-1 Calculation No. DRN 05-3577 Pg Cl of 63 Page 238 of 302 80-D-1 083C-01, Rev. 7 6.4.3.2 LEVEL TRANSMITTER (TRX)

COMPONENT ID Tag Number(s) LT-2668, LT-2617 [6.6.28]

LT-2672, LT-2621 Manufacturer  : Rosemount [6.6.5]

Model Number  : 1154DP4RB [6.6.5]

Upper Range Limit (URL)  : 150 "H2O [6.6.8]

Calibrated Range -4.58 to -148.57 "H2 0 [Att. 6-1]

Calibrated Span  : 143.99 "H2 0 [Aft. 6-1]

Turn Down Factor (TDF)  : 1.0417 ENVIRONMENTAL CONDITIONS Location Reactor Building [6.6.5]

Static Pressure Corr (Pcor) 900 psig [Aft. 6-11 Operating Press Range 0 to 1200 psig [6.3.3]

Pdiff(-) -900 psi [6.3.4,6.3.5]

Pdiff(+) 300 psi [6.3.5]

Calibration Temp (Tcal) 60 OF [6.3.8]

Abnormal Temp (Tabn) 110 OF [6.3.8]

DT (Tabn-Tcal) 50 °F [6.3.8]

Accident Temp (Tacc) 285 OF [6.3.8]

ADT (Tcal-Tacc) 225 OF [6.3.8]

Power Supply Voltage 30 VDC [6.6.10]

Power Supply Variance 10  % [6.3.9]

Power Supply Variance (DV) +/-

3 VDC ERROR

SUMMARY

Reference Accuracy (RA) = +/- 0.250 %Span [6.6.8]

Calibration (CAL) _ +/- [(RA/2)2+(RA/2) 2]1/2 [6.3.71 Calibration (CAL) 0.177 %Span Drift (DR) +/- 0.2%URL /30 months [6.3.10]

Drift (DR) = +/- (0.2)*(TDF)

Drift (DR) +/- 0.208 %Span Power Supply Effect (PS) +/- 0.005 % per Volt [6.6.8]

Power Supply Effect (PS) + (0.005)*(DV)

Power Supply Effect (PS) +/- 0.015 %Span (negligible) [6.3.6]

Power Supply Effect (PS) +/- 0.000 %Span Temperature Effect (TE) +/- 0.75%URL + 0.5%Span per I 00°F change [6.6.8]

Temperature Effect (TE) +/- [(0.75)*(TDF)+(0.5)j*DT/1 00 Temperature Effect (TE) +/- 0.641 %Span

ANO-1 Calculation No. DRN 05-3577 Pg ff of $3 Page 239 of 302 80-D-1083C-01, Rev. 7 Acc Temperature Effect (ATE) = +/- 2.5%URL + 0.5%Span [6.6.8]

Acc Temperature Effect (ATE) + (2.5)*(TDF)+(0.5) %Span Acc Temperature Effect (ATE) +/- 3.104 %Span Acc Radiation Effect (ARE) +/- 1.0%URL [6.3.141 Acc Radiation Effect (ARE) +/- (1.0)*(TDF) %Span Acc Radiation Effect (ARE) +/- 1.042 %Span Static Pressure Zero (SPZ) 0.2%URL per 1000 psi [6.6.8,6.3.4]

Static Pressure Zero (SPZ) i (0.2)*(TDF)*(Pdiff)I1 000 Static Pressure Zero (SPZ) 0.188 %Span Static Pressure Span (SPS) +/- 0.5%RDG per 1000 psi [6.6.8,6.3.4]

Static Pressure Span (SPS) +/- (0.5)*(1)*(Pdiff)/1 000 Static Pressure Span (SPS) +/- 0.450 %Span Stat Press Span Bias (SPSb) - 0.75 % Input/1000 psi [6.6.8,6.3.5]

SPSb(+) (-0.75)*[Pdiff(-)]I1000 %DP Input SPSb(+) + 0.675 %DP Input SPSb(-) (-0.75)*[Pdiff(+)I1 000 %DP Input SPSb(-) - 0.225 %DP Input SPSb(+) = + 0.675 %Span [6.3.5]

SPSb(-) = - 0.225 %Span The transmitter error (eTRX) for the Reference, Abnormal and Accident conditions is given as follows:

REF eTRX +/- RA + CAL REF eTRX 0.427 %Span ABN eTRX =

+ [(RA+CAL) 2 +(2DR/3) 2 +(2PS/3) 2+(2TE/3)2+(2SPZ/3) 2 +(2SPS/3) 2112 [6.3.11]

ABN eTRX 0.700 %Span ACC eTRX = _ [(RA+CAL) 2+(2DR/3) 2+(2PS13) 2+ATE 2+ARE2 +(2SPZI3) 2 +(2SPSJ3) 2j1/2 ACC eTRX = + 3.321 %Span [6.3.11]

ABN eTRXb SPSb ABN eTRXb +

0.675 %Span ABN eTRXb 0.225 %Span ACC eTRXb SPSb ACC eTRXb 0.675 %Span ACC eTRXb 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg 51 of 53 Page 240 of 302 80-D-1083C-01, Rev. 7 The output error terms for the transmitter (TRXo) are given as follows:

REF TRXo REF eTRX REF TRXo = + 0.427 %Span ABN TRXo + ABN eTRX ABN TRXo 0.700 %Span ACC TRXo ACC eTRX ACC TRXo  : + 3.321 %Span ABN TRXob ABN PMEb + ABN eTRXb ABN TRXob + 0.675 %Span ABN TRXob 0.622 %Span ACC TRXob ACC PMEb + ACC eTRXb ACC TRXob + 6.992 %Span ACC TRXob 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg bW of t3 Page 241 of 302 80-D-1083C-01, Rev. 7 6.4.3.3 INSULATION RESISTANCE (IR)

The transmitters are located inside the containment building and as such, the effects of harsh environment on loop signal cabling must be considered: The accident environment effects are considered for cabling from the transmitter through the containment electrical penetrations. The IReffect was calculated in Reference 6.6.4 and isquoted below.

ACC IRb - + 0.990 %Span [6.6.4]

ANO-1 Calculation No. DRN 05-3577 Pg #At of 83 Page 242 of 302 80-D-1 083C-01, Rev. 7 6.4.3.4 RESISTOR (RI)

COMPONENT ID Type 625 ohms [6.6.29,30]

Input Range  : 4 to 20 ma [6.6.10]

Output Range  : 2.5 to 12.5 VDC [6.6.10]

Span 10 VDC ENVIRONMENTAL CONDITIONS Location  : Aux. Bldg.-Control Room [6.6.51 Calibration Temperature  : 75 °F 6.3.19]

Temp Variance  : _ 9 °F [6.3.19]

ERROR

SUMMARY

Reference Accuracy (RA) = + 0.000 %Span (negligible) 16.3.18]

The errors for the resistor (eRI) are given as follows:

REFeRI = RA REF eR1 = _ 0.000 %Span ABNeR1 = _ RA ABN eR1 = +/- 0.000 %Span ACC eR1 = RA ACC eRI = 0.000 %Span The output error terms for the resistor (RI o)are given as follows:

REF RIo = +/- [(REF TRXo) 2+(REF eR1) 2 ]12 REF Rio = i 0.427 %Span ABN Rio = _ [(ABN TRXo)2+(ABN eRl) 2]" 2 ABN RIo = +/- 0.700 %Span ACC Rio = +/- [(ACC TRXo) 2+(ACC eR1) 2]1Q ACC Rio = +/- 3.321 %Span ABN RI ob = ABN TRXob ABN RI1b = + 0.675 %Span ABN RI ob = - 0.622 %Span ACC RI ob = ACC TRXob + ACC lRb ACC R1ob = + 7.982 %Span ACC Riob = - 0.225 %Span

ANO-1 Calculation No. DRN 05-3577 Pg L6 of 83 Page 243 of 302 80-D-1083C-01, Rev. 7 6.4.4 LOW LEVEL INITIATE BISTABLES 6.4.4.1 EFIC ALGORITHM Table 6.4.4.1 determines the errors in density expected based upon the error associated with the pressure signal (Section 6.4.2). Per Reference 6.6.10, the densities are stored in EPROM based on the ASME Steam Tables. Table 6.4.4.1 compares what the density is at the actual SG pressure with the density at the SG pressure with the uncertainty included.

This methodology conservatively assumes that no interpolation is performed.

Table 6.4.4.2 determines the minimum and maximum input voltages for the uncompensated level signal based upon the error associated with the level signal (Section 6.4.3).

Table 6.4.4.3 computes the expected output voltages without errors. The equation used for the expected output voltages (Section 6.2.0) is as follows:

vo= 1 + 2 3 .91*(APL-2.5) - 4.0*pst where vo is the output voltage fed to Pw - Pst the Bistables.

Tables 6.4.4.4, 6.4.4.5 and 6.4.4.6 compute the output error due to the error in the uncompensated level signal for the reference, abnormal and accident conditions, respectively.

The equation used is as follows:

VI o= 1 + 23.91*I(APL+/-LVLo)-2.5)] .4.0* Pst -v 0 Pw - Pst Table 6.4.4.7 computes the output error due to the error in the pressure signal for the reference, abnormal and accident conditions. This error is minimal compared to other errors in the loop. Therefore, for simplicity, only the accident error is considered for the pressure signal.

The equation used is as follows:

V2o = 1 + 23 .9 1*(APL-2 .5) - 4.0*p~t - vo with the densities based upon the pressuire PW - Pst signal with error PRSo Tables 6.4.4.8 and 6.4.4.9 compute the bias output error based upon the bias error in the uncompensated level signal for the abnormal and accident conditions, respectively.

The equation used is as follows:

Vob= I + 23.91*[(APL+/-LVLob)-2.5)] - 4.0*pst - v, Pw - POt

ANO-1 Calculation No. DRN 05-3577 Pg 16 of $3 Page 244 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.1 SG PRESSURE DENSITY-SATURATED CONDITIONS (Ibmift ') -

(psia) Expected w/ Error Expected w/ Error Expected w/ Error Actual wI Error Pw Pw PSI Psi PwPst PIPst 14.7 14.7 59.8122 59.8122 0.0373 0.0373 59.7749 59.7749 25.4 59.0772 0.0613 59.0159 50.0 39.3 57.8905 58.3499 0.1175 0.0930 57.7730 58.2568 60.7 57.4944 0.1416 57.3528 100.0 89.3 56.3698 56.6540 0.2257 0.2021 56.1441 56.4519 110.7 56.1167 0.2491 55.8676 150.0 139.3 55.2792 55.4939 0.3318 0.3085 54.9474 55.1854 160.7 55.0964 0.3529 54.7435 300.0 289.3 52.9381 53.0504 0.6482 0.6270 52.2899 52.4234 310.7 52.7983 0.6694 52.1289 450.0 439.3 51.1771 51.2821 0.9692 0.9476 50.2079 50.3345 460.7 51.0465 1.0126 50.0339 600.0 589.3 49.6771 49.7760 1.2991 1.2768 48.3780 48.4992 610.7 49.5786 1.3215 48.2571 750.0 739.3 48.3325 48.4262 1.6407 1.6175 46.6918 46.8086 760.7 48.2625 1.6640 46.5986 900.0 889.3 47.1032 47.1921 1.9964 1.9722 45.1068 45.2199 910.7 47.0146 2.0206 44.9940 1050.0 1039.3 45.9348 45.9982 2.3683 2.3430 43.5665 43.6552

______ 1060.7 45.8505 2.3938 43.4568 1214.7 1204.0 44.7227 44.8029 2.7857 2.7590 41.9370 42.0439 1214.7 44.7227 2.7857 41.9370 DENSITY OF H2 0 (WATER AND STEAM) ERRORS

ANO-1 Calculation No. DRN 05-3577 Pg te of Z5 Page 245 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.2 SG LEVEL (volts) - l w/REF w/ ABN w/ ABN w/ ACC w/ACC LVLo LVLo LVLob LVLo LVLob Actual (-) (+L .... ŽL (+)

(-) (-L ()-+

2.5 2.457 2.543 2.430 2.570 2.438 2.568 2.168 2.832 2.478 3.298 3.0 2.957 3.043 2.930 3.070 2.938 3.068 2.668 3.332 2.978 3.798 4.0 3.957 4.043 3.930 4.070 3.938 4.068 3.668 4.332 3.978 4.798 6.0 5.957 6.043 5.930 6.070 5.938 6.068 5.668 6.332 5.978 6.798 8.0 7.957 8.043 7.930 8.070 7.938 8.068 7.668 8.332 7.978 8.798 10.0 9.957 10.043 9.930 10.070 9.938 10.068 9.668 10.332 9.978 10.798 11.0 10.957 11.043 10.930 11.070 10.938 11.068 10.668 11.332 10.978 11.798 12.0 11.957 12.043 11.930 12.070 11.938 12.068 11.668 12.332 11.978 12.798 12.5 12.457 12.543 12.430 12.570 12.438 12.568 12.168 12.832 12.478 13.298 UNCOMPENSATED LEVEL ERRORS (volts)

TABLE 6.4.4.3 EXPECTED VO PRESS. SG LEVEL (volts)

(psia) 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 14.7 0.998 1.198 1.598 2.398 3.198 3.998 4.398 4.798 4.998 50.0 0.992 1.199 1.613 2.440 3.268 4.096 4.510 4.924 5.130 100.0 0.984 1.197 1.623 2.474 3.326 4.178 4.604 5.030 5.243 150.0 0.976 1.193 1.629 2.499 3.369 4.239 4.675 5.110 5.327 300.0 0.950 1.179 1.636 2.551 3.465 4.380 4.837 5.294 5.523 450.0 0.923 1.161 1.637 2.590 3.542 4.494 4.971 5.447 5.685 600.0 0.893 1.140 1.634 2.622 3.611 4.599 5.094 5.588 5.835 750.0 0.859 1.115 1.628 2.652 3.676 4.700 5.212 5.724 5.980 900.0 0.823 1.088 1.618 2.678 3.738 4.799 5.329 5.859 6.124 1050.0 0.783 1.057 1.606 2.703 3.801 4.899 5.447 5.996 6.271 1214.7 0.734 1.019 1.590 2.730 3.870 5.010 5.580 6.151 6.436 EXPECTED OUTPUT VOLTAGE

ANO-I Calculation No. DRN 05-3577 Pg b5 of 83 Page 246 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.4

_____REF Vlo PRESS LEVEL w/Error (volts)

(psia) 2.457 2.543 2.957 3.043 3.957 4.043 5.957 6.043 7.957 8.043 9.957 10.043 10.957 11.043 11.957 12.043 12.457 12.543 14.7 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 50.0 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 100.0 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 150.0 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 300.0 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 450.0 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 600.0 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 750.0 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 900.0 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 1050.0 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 1214.7 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 REF Vlo (random output error due to uncompensated level signal error)

TABLE 6.4.4.5 ABN Vlo PRESS LEVEL w/Error (volts)

J2ia 2.430 2.570 2.930 3.070 3.930 4.070 5.930 6.070 7.930 8.070 9.930 10.070 10.930 11.070 11.930 12.070 12.430 12.570 14.7 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 -0.017 0.017 50.0 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 100.0 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 -0.018 0.018 150.0 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 -0.019 0.019 300.0 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 450.0 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 -0.020 0.020 600.0 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 -0.021 0.021 750.0 -. 022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 -0.022 0.022 900.0 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 1050.0 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 -0.023 0.023 1214.7 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 -0.024 0.024 .0.024 0.024 ABN V1o (random output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg lou of 13 Page 247 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.6 ACC Vlo PRESS LEVEL w/Error (volts)

(psia) 2.168 2.832 2.668 3.332 3.668 4.332 5.668 6.332 7.668 8.332 9.668 10.332 10.668 11.332 11.668 12.332 12.168 12.832 14.7 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 -0.133 0.133 50.0 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 -0.137 0.137 100.0 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 -0.141 0.141 150.0 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 -0.145 0.145 300.0 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 -0.152 0.152 450.0 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 -0.158 0.158 600.0 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 -0.164 0.164 750.0 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 -0.170 0.170 900.0 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 -0.176 0.176 1050.0 0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 -0.182 0.182 1214.7 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 -0.189 0.189 ACC Vlo (random output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg 1s of t3 Page 248 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.7 REF, ABN, ACC V2o LEVEL PRESSURE w__rror (psa)

(vots) 14.7 25.4 39.3 60.7 89.3 110.7 139.3 160.7 289.3 310.7 439.3 460.7 589.3 610.7 739.3 760.7 889.3 910.7 2.5 0.000 -0.002 0.002 -0.002 0.002 -0.002 0.002 -0.002 0.002 -0.002 0.002 -0.004 0.002 -0.002 0.002 -0.002 0.003 -0.003 3.0 0.000 0.001 0.000 0.000 0.001 -0.001 0.001 -0.001 0.001 -0.001 0.001 -0.003 0.001 -0.002 0.002 -0.002 0.002 -0.002 4.0 0.000 0.006 -0.003 0.003 -0.002 0.001 -0.001 0.001 0.000 0.000 0.000 -0.001 0.000 0,000 0.000 -0.001 0.001 -0.001 6.0 0.000 0.016 -0.010 0.009 -0.006 0.006 -0.005 0.004 -0.002 0.003 -0.002 0.002 -0.002 0.002 -0.002 0.001 -0.002 0.002 8.0 0.000 0.027 -0.017 0.015 -0.011 0.010 -0.009 0.007 -0.005 0.006 -0.005 0.005 -0.005 0.005 -0.005 0.003 -0.005 0.005 10.0 0.000 0.037 -0.024 0.021 -0.016 0.014 -0.012 0.011 -0.007 0.009 -0.007 0.009 -0.007 0.007 -0.007 0.005 -0.007 0.007 11.0 0.000 0.042 -0.027 0.024 -0.018 0.016 -0.014 0.012 -0.008 0.010 -0.008 0.010 -0.008 0.008 -0.009 0.006 -0.009 0.009 12.0 0.000 0.047 -0.031 0.027 -0.020 0.018 -0.016 0.014 -0.009 0.012 -0.009 0.012 -0.010 0.010 -0.010 0.007 -0.010 0.010 12.5 0.000 0.050 -0.033 0.029 -0.021 0.019 -0.017 0.015 -0.010 0.012 -0.010 0.013 -0.010 0.010 -0.010 0.008 -0.011 0.011 REF. ABN.. ACC V2o LEVEL PRESSURE w/Error (psia)

(volts) 1039.3 1060.7 1204.0 1214.7 2.5 0.003 -0.003 0.003 0.000 3.0 0.002 -0.002 0.002 0.000 4.0 0.001 -0.001 0.001 0.000 6.0 -0.001 0.002 -0.002 0.000 8.0 0.003 0.005 -0.005 0.000 10.0 -0.006 0.007 -0.008 0.000 11.0 -0.007 0.009 -0.009 0.000 12.0 -0.008 0.010 -0.011 0.000 12.5 -0.008 0.011 -0.011 0.000 REF, ABN, ACC V20 (output error due to.the pressure signal error)

ANO-1 Calculation No. DRN 05-3577 Pg lo of S3 Page 249 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.8

- ABN Vob PRESS LEVEL wError (volts)

(psia) 2.438 2.568 2.938 3.068 3.938 4.068 5.938 6.068 7.938 8.068 9.938 10.068 10.938 11.068 11.938 12.068 12.438 12.568 14.7 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 -0.025 0.027 50.0 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 -0.026 0.028 100.0 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 -0.026 0.029 150.0 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 -0.027 0.029 300.0 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 -0.028 0.031 450.0 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 -0.030 0.032 600.0 0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 -0.031 0.033 750.0 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 -0.032 0.035 900.0 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 -0.033 0.036 1050.0 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 -0.034 0.037 1214.7 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 -0.035 0.038 ABN Vob (bias output error due to uncompensated level signal error)

TABLE 6.4.4.9 ACC Vob PRESS LEVEL w/Error (volts)

(psia) 2.478 3.298 2.978 3.798 3.978 4.798 5.978 6.798 7.978 8.798 9.978 10.798 10.978 11.798 11.978 12.798 12.478 13.298 14.7 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 -0.009 0.319 50.0 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 -0.009 0.330 100.0 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 -0.010 0.340 150.0 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 -0.010 0.347 300.0 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 -0.010 0.365 450.0 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 -0.011 0.380 600.0 0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 -0.011 0.395 750.0 0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 -0.012 0.409 900.0 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 -0.012 0.423 1050.0 0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 -0.012 0.438 1214.7 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 -0.013 0.455 ACC Vob (bias output error due to uncompensated level signal error)

ANO-1 Calculation No. DRN 05-3577 Pg 1A of S3 Page 250 of 302 80-D-1083C-01, Rev. 7 6.4.4.2 EFIC-LOW LEVEL INITIATE (SU1)

COMPONENT ID Tag Number(s) C37-3-TDB-C45, -C55 [6.6.5]

C37-4-TDB-D45, -D55 Manufacturer Vitro Engineering Corp. [6.6.5]

Model Number 3801-3034 [6.6.5]

ENVIRONMENTAL CONDITIONS Location Aux. Bldg.-Control Room [6.6.5]

Calibration Temperature 75 OF [6.3.19]

Temp Variance _ 9 OF [6.3.19]

ERROR

SUMMARY

DRN Reference Accuracy (RA) i 0.539 %Span [6.3.121 5- lSetting Tolerance (ST) 0.111 %Span [6.3.21]

3snIDevice Tolerance (Dtol) 0.650 %Span [6.3.21]

Calibration (CAL) [(0.125)2+(0. 125)2]1/" [6.3.15] :

Calibration (CAL) :f 0.177 %Span 7lDrift (DR) 0.258 %Span [6.3.171

+/-

Power Supply Effect (PS) 0.000 %Span [6.3.16]

Temperature Effect (TE) 0.000 %Span [6.3.16]

The errors for the Low Range Level Signal (eSU1) are given as follows:

REF eSU1 +/- (Dtol + CAL)

IREF eSU1 +/- 0.827 %Span DRN 05-3577 ABN eSU1 +/- [(Dtol+CAL) 2+DR2 +PS 2 +TE2]12 lABN eSU1 _ 0.866 %Span DRN 05-3577 ACC eSU1 +/- [(Dtol+CAL)2+DR 2+PS"+TE2]1'u lACC eSU1 +/- 0.866 %Span DRN 05-3577

ANO-1 Calculation No. DRN 05-3577 Pg Io of b Page 251 of 302 80-D-1083C-01, Rev. 7 The output error for the Bistables (SUlo) are given based on the following equations:

REF SU1o +/- [(REF eSUI) 2 +(REF Vlo)2 +(REF V20) 2J1" REF SU1o +/- [(REF eSU 1)2+(Table 6.4.4.4)2 +(Table 6.4.4.7)211 REF SU10 +/- Table 6.4.4.10 ABN SU1o +/- [(ABN eSUl)2 +(ABN Vlo) 2 +(ABN V2o)2 1" 2 ABN SU1o +/- [(ABN eSUI) 2+(Table 6.4.4.5) 2 +(Table 6.4.4.7)21IQ ABN SU1o +/- Table 6.4.4.11 ACC SU1o +/- [(ACC eSU1) 2 +(ACC V10) 2+(ACCV2o)2l' 2 ACC SU1o +/- [(ABN eSU1) 2 +(Table 6.4.4.6) 2+(Table 6.4.4.7)211/2 ACCSUlo +/- Table 6.4.4.13 ABN SUlob ABN Vob ABNSU1ob (Table 6.4.4.8)

ABN SUlob Table 6.4.4.12 ACC SUlob ACC Vob ACC SUlob (Table 6.4.4.9)

ACC SU0ob Table 6.4.4.14 Note: Errors in volts are converted to %Span prior to combining with the EFIC error (eSUI).

The total otput error for the reference condition is given in Table 6.4.4.10 since there is no bias error.

The total output error for the abnormal condition is the algebraic sum of the random and bias terms:

ABN SU1ot = ABN SU0 + ABN SU1ob ABN SUlot = (Table 6.4.4.11)+(Table 6.4.4.12)

ABN SU1ot = Table 6.4.4.15 The total output error for the accident condition isthe algebraic sum of the random and bias terms:

ACC SU1ot = ACCSU1o+ACC SU1ob ACC SUbot = (Table 6.4.4.13)+(Table 6.4.4.14)

ACC SU10t = Table 6.4.4.16

ANO-1 Calculation No. DRN 05-3577 Pg AI of 83 Page 252 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.10 REF SUIo (%Span)

PRESS LEVEL (volts)

(psia) 2.5 3.0 4.0 6.0 1 8.0 1 10.0 11.0 12.01 12.5 14.7 0.93 0.93 0.94 1.02 1.14 1.31 1.40 1.50 1.55 50.0 0.94 0.94 0.94 0.97 1.03 1.11 1.16 1.21 1.24 100.0 0.94 0.94 0.94 0.96 0.98 1.02 1.05 1.07 1.09 150.0 0.95 0.95 0.95 0.96 0.97 1.00 1.01 1.03 1.04 riz 300.0 450.0 0.96 0.96 0.96 0.96 0.97 0.98 0.98 0.97 0.97 0.97 0.97 0.98 0.99 1.00 0.99 0.99 z 1.02 1.02 w 600.0 0.98 0.98 0.98 0.98 0.99 1.00 1.00 1.01 1.01 750.0 0.99 0.99 0.99 0.99 1.00 1.01 1.01 1.02 1.02 900.0 1.00 1.00 1.00 1.00 1.01 1.02 1.03 1.03 1.04 1050.0 1.02 1.01 1.01 1.01 1.02 1.03 1.04 1.05 1.05 1214.7 1.03 1.03 1.03 1.03 1.03 1.04 1.05 1.06 1.06 REF SU1o-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg '1Z of t% Page 253 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.11 ABN SUo (%Soan)

PRESS I LEVEL (volts)

(psia) 2.5 3.0 4.0 6.0 1 8.0 10.0 11.0 12.0 12.5

. _ A_ __

0.97 0.97 0.98 1.05 1.17 1.34 1.43 14.7 1.52 1.58 50.0 0.97 0.97 0.98 1.01 1.06 1.14 1.19 1.24 1.27 100.0 0.98 0.98 0.98 0.99 1.02 1.05 1.08 1.10 1.12 I..- 150.0 0.98 0.98 0.98 0.99 1.01 1.03 1.04 1.06 1.07 LI) 300.0 1.00 0.99 0.99 1.00 1.00 1.01 1.01 1.02 1.02 0 450.0 1.01 1.01 1.00 1.01 1.01 1.03 1.04 1.05 1.05 z 600.0 1.02 1.01 1.01 1.02 1.02 1.03 1.04 1.04 1.05 w

750.0 1.03 1.02 1.02 1.03 1.03 1.04 1.05 1.05 1.06 900.0 1.04 1.04 1.03 1.04 1.04 1.05 1.06 1.06 1.07 1050.0 1.05 1.05 1.05 1.05 1.05 1.06 1.07 1.08 1.08 1214.7 1.06 1.06 1.06 1.06 1.07 1.08 1.08 1.09 1.10 ABN SUlo-OUTPUT LOOP ERROR (%Span)

TABLE 6.4.4.12 ABN SUlob (%Span)

V___

____LEVEL

___ (vots)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 (pi)- +) ~ F~ Z() ~ Z L F ~ ZIA)F

+Ai -)M-e (M(- (+ ZF (-0 Z~+ - +- +- + - +

14.7 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 -0.62 0.68 50.0 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 -0.64 0.70 100.0 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 -0.66 0.72 150.0 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 -0.68 0.73 300.0 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 -0.71 0.77 450.0 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 -0.74 0.80 600.0 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 -0.77 0.83 750.0 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 -0.80 0.86 900.0 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 -0.82 0.89 1050.0 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 -0.85 0.93 1214.7 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 -0.89 0.96 ABN SUlob-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg 13 of t3 Page 254 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.13 ACC SU1o (%Span)

PRESS LEVEL (volts) 2.5 1 3.0 1 4.0 6.0 1 8.0 10.0 I 11.0 1 12.0 12.5 14.7 3.43 3.43 3.44 3.46 3.50 3.55 3.59 3.63 3.65 50.0 3.54 3.54 3.54 3.55 3.57 3.59 3.61 3.63 3.64 100.0 3.64 3.64 3.64 3.64 3.65 3.66 3.67 3.68 3.68 150.0 3.72 3.72 3.72 3.72 3.72 3.73 3.73 3.74 3.74 300.0 3.89 3.89 3.89 3.89 3.90 3.90 3.90 3.90 3.90 z 450.0 4.05 4.05 4.05 4.05 4.05 4.05 4.06 4.06 4.06 C: 600.0 4.19 4.19 4.19 4.19 4.20 4.20 4.20 4.20 4.20 750.0 4.34 4.34 4.34 4.34 4.34 4.34 4.34 4.35 4.35 900.0 4.49 4.49 4.49 4.49 4.49 4.49 4.49 4.49 4.49 1050.0 4.64 4.64 4.64 4.64 4.64 4.64 4.64 4.65 4.65 1214.7 4.81 4.81 4.81 4.81 4.81 4.82 4.82 4.82 4.82 ACC SU_--OUTPUT LOOP ERROR (%Span)

TABLE 6.4.4.14 ACC SU lob (%Span)

LEVEL (voIts)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 (psia) 14.7

-0.23 7.98 I)(-

-0.23 7.98 -0.23

) ( -) l (+ ) (

7.98 -0.23 7.98 -0.23 7.98 -0.23

+ I +-) I+)

(-) -)+ I 7.98 -0.23 7.98 -0.23 7.98 -0.23 7.98 50.0 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 -0.23 8.26 100.0 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 -0.24 8.50 150.0 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 -0.24 8.68 300.0 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 -0.26 9.12 450.0 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 -0.27 9.50 600.0 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 -0.28 9.86 750.0 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 -0.29 10.22 900.0 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 -0.30 10.58 1050.0 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 -0.31 10.95 1214.7 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 -0.32 11.38 ACC SUlob-OUTPUT LOOP ERROR (%Span)

ANO-1 Calculation No. DRN 05-3577 Pg-74of &r Page 255 of 302 80-D-1083C-01, Rev. 7 TABLE 6.4.4.15 ABN SUlot (%Span)

LEVEL (wfts)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 p- +) i (-)(-)

T +)

l (-) I+)

lIKT (-) l +)())+ (+)

14.7 1.59 1.64 1.59 1.64 1.60 1.65 1.67 1.72 1.79 1.85 1.96 2.01 2.05 2.10 2.15 2.20 2.20 2.25 50.0 1.62 1.67 1.62 1.67 1.62 1.67 1.65 1.70 1.71 1.76 1.79 1.84 1.83 1.89 1.89 1.94 1.91 1.97 100.0 1.64 1.70 1.64 1.70 1.64 1.70 1.65 1.71 1.68 1.73 1.72 1.77 1.74 1.80 1.76 1.82 1.78 1.83 150.0 1.66 1.72 1.66 1.72 1.66 1.72 1.67 1.72 1.68 1.74 1.71 1.76 1.72 1.78 1.74 1.80 1.75 1.80 300.0 1.71 1.77 1.71 1.77 1,70 1.77 1.71 1.77 1.71 1.77 1.72 1.78 1.73 1.79 1.73 1.79 1.74 1.80 450.0 1.75 1.81 1.75 1.81 1.74 1.81 1.75 1.81 1.75 1.82 1.77 '1.83 1.78 1.84 1.79 1.85 1.79 1.86 600.0 1.78 1.85 1.78 1.85 1.78 1.85 1.78 1.85 1.79 1.85 1.80 1.86 1.80 1.87 1.81 1.88 1.81 1.88 750.0 1.82 1.89 1.82 1.89 1.82 1.89 1.82 1.89 1.83 1.89 1.84 1.90 1.84 1.91 1.85 1.92 1.85 1.92 900.0 1.86 1.93 1.86 1.93 1.86 1.93 1.86 1.93 1.86 1.94 1.87 1.95 1.88 1.95 1.89 1.96 1.89 1.96 1050.0 1.90 1.97 1.90 1.97 1.90 1.97 1.90 1.97 1.91 1.98 1.92 1.99 1.92 2.00 1.93 2.00 1.93 2.01 1214.7 1.95 2.02 1.95 2.02 1.94 2.02 1.95 2.02 1.95 2.03 1.96 2.04 1.97 2.04 1.98 2.05 1.98 2.06 ABN SUlot-TOTAL OUTPUT LOOP ERROR (%Span)

TABLE 6.4.4.16

-_ ACC SUlot (%Span)

LEVEL (volts)

PRESS 2.5 3.0 4.0 6.0 8.0 10.0 11.0 12.0 12.5 A2L- E~ IE m TEE ThE 14.7 3.66 11.41 3.66 11.41 3.66 11.42 3.68 11.44 3.72 11.48 3.78 11.54 3.81 11.57 3.85 11.61 3.88 11.63 50.0 3.78 11.80 3.78 11.80 3.78 11.80 3.79 11.81 3.80 11.83 3.83 11.85 3.84 11.87 3.86 11.89 3.87 11.90 100.0 3.88 12.14 3.88 12.14 3.88 12.14 3.88 12.14 3.89 12.15 3.90 12.16 3.91 12.17 3.92 12.17 3.92 12.18 150.0 3.96 12.40 3.96 12.40 3.96 12.40 3.96 12.40 3.97 12.40 3.97 12.41 3.98 12.42 3.98 12.42 3.98 12.42 300.0 4.15 13.02 4.15 13.02 4.15 13.02 4.15 13.02 4.15 13.02 4.16 13.02 4.16 13.02 4.16 13.03 4.16 13.03 450.0 4.32 13.55 4.32 13.55 4.32 13.55 4.32 13.55 4.32 13.55 4.32 13.56 4.32 13.56 4.33 13.56 4.33 13.56 600.0 4.47 14.06 4.47 14.06 4.47 14.06 4.47 14.06 4.47 14.06 4.48 14.06 4.48 14.06 4.48 14.06 4.48 14.06 750.0 4.63 14.56 4.63 14.56 4.63 14.56 4.63 14.56 4.63 14.58 4.63 14.56 4.63 14.56 4.63 14.56 4.63 14.57 900.0 4.78 15.06 4.78 15.06 4.78 15.06 4.78 15.06 4.79 15.07 4.79 15.07 4.79 15.07 4.79 15.07 4.79 15.07 1050.0 4.95 15.59 4.95 15.59 4.95 15.59 4.95 15.59 4.95 15.59 4.95 15.59 4.95 15.60 4.95 15.60 4.96 15.60 1214.7 5.13 16.19 5.13 16.19 5.13 '16.19 5.13 16.19 5.13 16.19 5.14 16.19 5.14 16.20 5.14 16.20 5.14 16.20 A SLJI t-TOIAL QU I VU I LWER , R opan)

ANO-1 Calculation No. DRN 05-3577 Pg. 1of S3 Page 256 of 302 80-D-1 083C-01, Rev. 7 6.4.5 TIME RESPONSE COMPONENT TIME Transmitter 0.500 Sec. [6.6.8]

IEFIC Time Delay Bistable 10.400 Sec. DRN 05-3577 [6.3.20]

Trip Interface Equipment (TIE) 0.025 Sec. [6.6.37]

ITotal Time Response 10.925 Sec. DRN 05-3577

ANO-1 Calculation No. DRN 05-3577 Pg. 1X of S3 Page 257 of 302 80-D-1 083C-01, Rev. 7 6.

5.0 CONCLUSION

S The instrument uncertainty for the ANO-1 EFIC Channels A & B SG Low Level Initiate Bistable (SUlo) is calculated below:

SG Low Level Initiate (SU1o)

The output error for each of these bistables is the output error determined at the output of the EFIC Bistable Modules.

IREF SUI0' = _ 1.55 %SPAN = +/- 2.33 inches IABN SUlot 2 + 2.02 %SPAN DRN = + 3.03 inches ABN SUlot 2 1.95 %SPAN 05-3546 = 2.92 inches IACC SUlot' +

16.20 %SPAN = + 24.30 inches ACC SUlot' 5.14 %SPAN = - 7.71 inches INote: 1. These vaues are the worst cases (i.e. greatest possible errors) found in DRN Tables 6.4.4.10, and 6.4.4.16.

05-3546 2. These values reflect Assumption & Given Condition 6.3.22.

l Reference these tables if uncertainties are required at specific levels/pressures.

SETPOINT EVALUATION 71SG Low Level Initiate (SUI)

Credit is only taken for the initiation of EFW using this setpoint under the conditions of normal reactor building environment. Therefore, the uncertainties for the Abnormal Condition will be used in setpoint evaluation. Per Reference 6.6.40, the process limit for SG Low Level Initiate is 6 inches above the lower tubesheet (LTS) . Since this trip provides protection r-z for a decreasing level, the bistable positive abnormal error terms will be used.

Calc. Setpoint = Analytical Limit + Total Loop Error + Margin to Lower Tap z

Cr_

6 + ABN SU1ot(+) + 0.5 0 DRN 6 + 3.03 + 0.5 05-3577 = 9.53 inches (above LTS)

INote also that the Technical Specifications provide an Allowable Value of 9.34 inches (Ref. 6.6.11). A calculated Allowable Value can be determined using guidance provided in Reference 6.6.38 as shown below.

Test Error = ((RA2 + CAL2 + DR2 ) 1t 2 )%SPAN Note: Dtol will be used in place of RA I DRN = 0.721 %SPAN where applicable (Dtol = 0.650 %

05-3577 = 1.08 inches SPAN or 0.975 inches)

ANO-1 Calculation No. DRN 05-3577 Pg m. of Si3 Page 258 of 302 80-D-1 083C-01 i Rev. 7 Allowable Value = Calc. Setpoint - Test Error

= 8.45 inches rLO The present setpoint of 5.0 inches above the lower tap (11.0 +/- 0.975 inches above the LTS) is CX conservative with respect to the Allowable Value. Note that the Total Loop Error, Test Error o and as-left bistable tolerance (see Dtol above) support the Technical Specification Allowable z Value (Ref. 6.6.11) of 9.34 inches.

0

ANO-1 Calculation No. DRN 05-3577 Pg. 7 of 63 Page 259 of 302 80-D-1083C-01, Rev. 7 6.

6.0 REFERENCES

6.6.1 Design Guide IDG-001-0, Instrument Loop Error Analysis and Setpoint Methodology Manual.

6.6.2 ANO Engineering Standard NES-13, Rev. 1, Environmental Qualification -Environmental Service Conditions.

6.6.3 ASME Steam Tables, Sixth Edition.

6.6.4 Calculation No. 92-EQ-0003-01, Rev. 5, Specific IR Effects Calculation.

6.6.5 SIMS, As of the calculation origination date.

6.6.6 ANO-1 System Training Manual, STM 1-66, Rev. 5, Emergency Feedwater Initiation and Control System.

6.6.7 Procedure No. 1304.208, Rev. 3, Unit 1 EFIC Channel D Monthly Test, SG Pressure Greater Than 750 PSIG.

16.6.8 TM R370.0010 Rev. 23, TD R370.0160, Rev. 5, Rosemount Pressure Transmitters for Nuclear Service Model 1154 Alphaline. DRN 05-3577 6.6.9 Conduct of Maintenance Procedure 1025.003, Rev. 43-01.

6.6.10 TM B015.0580, Rev. 5, Technical Manual For Unit 1 Emergency Feedwater and Initiation and Control System.

16.6.11 ANO-1 Technical Specifications Submittal 1CAN01 0601. DRN 05-3577 6.6.12 ANO Document No. MISC-96-022, Letter from Neil P. Lien (Rosemount) to Bob McCain (Entergy Operations) dated September 20,1990 Regarding Rosemount transmitter specifications.

6.6.13 B&W Document Identifier 51-1163812-00.

6.6.14 ULD-1-SYS-12, Rev. 3, ANO-1 Emergency Feedwater System.

6.6.15 ANO-1 Drawing No. FSK-M-1 052, Rev. 3, Emergency Feedwater Initiation and Control System Tube Routing for LT-2621 and LT-2623.

6.6.16 ANO-1 Drawing No. FSK-M-1056, Rev. 3, Emergency Feedwater Initiation and Control System Tube Routing for LT-2617 and LT-2619.

6.6.17 ANO-1 Drawing No. FSK-M-1 062, Rev. 2, Emergency Feedwater Initiation and Control System Tube Routing for LT-2668 and LT-2670.

6.6.18 ANO-1 Drawing No. FSK-M-1 063, Rev. 3, Emergency Feedwater Initiation and Control System Tube Routing for LT-2618 and LT-2620.

AN( )-1 Calculation No. DRN 05-3577 Pg.3 of S3 Page 260 of 302 80-D-1 083C-01, Rev. 7 6.6.19 ANO Engineering Report, 95-R-0013-01, Rev. 0; Control Room Post Accident Requirements.

6.6.20 B & W Document Identifier 51-1142173-00, EFIC System Accuracies.

6.6.21 ANO-1 Calculation No. 92-R-1 023-01, Rev. 0.

6.6.22 Procedure No. 1304.100, Rev. 015-00-0, Unit I EFIC Channel C Calibration.

DRN 05-3577 6.6.23 Procedure No. 1304.101, Rev. 015-00-0, Unit I EFIC Channel D Calibration.

6.6.24 Vendor Drawing No. 58526-022-1, Rev. 1, B&W Emergency Feedwater Initiation and Control System Assembly.

6.6.25 ANO-1 Drawing No. E-258, sheet 1, Rev. 4, Wiring Block Diagram Emergency Feedwater Initiation and Control (EFIC).

6.6.26 ANO Vendor File V43, Item #107, Rosemount Type Test Report D8600063, Low Level Radiation Dose Rate Test Small Break LOCA Test.

6.6.27 M-204, Sh. 4, Rev. 11, Piping & Instrument Diagram Emergency Feedwater.

6.6.28 M-206, Sh. 1, Rev. 117, Piping & Instrument Diagram Steam Generator Secondary System.

6.6.29 Vendor Drawing No. 58526-247, Rev. 0, EFIC Module Connection Diagram SGA Channel C & D.

6.6.30 Vendor Drawing No. 58526-246, Rev. 0, EFIC Module Connection Diagram SGB Channel C & D.

6.6.31 ANO-1 Calculation No. 95-R-1025-01, Rev. 1, ANO-1 Safety Analysis Groundrules-Cycle 14.

6.6.32 Not Used.

i 6.6.33 Procedure No. 1304.147, Rev. 027-00-0, Unit 1 EFIC Channel C Monthly Test.

h 6.6.34 Procedure No. 1304.148, Rev. 029-00-0, Unit I EFIC Channel D Monthly Test.

z 6.6.35 Procedure No. 1304.207, Rev. 012-00-0, Unit 1 EFIC Channel C Monthly Test, SG Pressure a Greater Than 750 PSIG.

6.6.36 Document No. 1CAN038104.

6.6.37 Vendor Technical Manual, TM B015.0600, Rev. 1; Section 3.1, drawing S9N76-1, and drawing KGU431 K.

716.6.38 ISA-RP67.04.02-2000, Methodologies for the Determination of Setpoints for Nuclear I Safety-Related Instrumentation.

16.6.39 ER-ANO-2005-0871-000, ERCN1 DRN 05-3577 16.6.40 ANO Calculation A1-NE-2005-005, Rev. 0, "ANO-1 Revised EFIC Low Level Setpoint Summary Report.

ANO-1 Calculation No. DRN 05-3577 Pg SO of Page 261 of 302 80-D-1083C-01, Rev. 7 ATTACHMENT 6-1 IEFIC LOW RANGE LEVEL TRANSMITTER CALIBRATION DRN 05-3577 PURPOSE IThe purpose of this attachment is to give the basis for the calibration of the EFIC low range steam generator level transmitters. DRN 05-3577 SCOPE This attachment is applicable to the following level transmitters:

LT-2668 SGA Low Range Level Transmitter (Channel C)

LT-2672 SGA Low Range Level Transmitter (Channel D)

LT-2617 SGB Low Range Level Transmitter (Channel C)

LT-2621 SGB Low Range Level Transmitter (Channel D)

ASSUMPTIONS AND GIVEN CONDITIONS

1) The high pressure side of the transmitter is connected to the lower tap at 6" above [6.6.6]

the lower tube sheet (LTS).

2) The low pressure side of the transmitter is connected to the upper tap at 156" above [6.6.6]

the LTS.

3) The upper tap is 100% level and the lower tap is 0% level.
4) The water In the reference leg is assumed to be at 1200F.
5) The water in the steam generator is assumed to be at 212'F.
6) The steam in the steam generator is assumed to be at 212'F.
7) The transmitter is direct acting, 4-20 mADC for 0%-1 00% level.
8) The transmitter static span shift is +0.75% of differential pressure input per 1000 psi [6.6.8]

static pressure.

9) 27.753 "H2 0/psi will be used in converting psi to "H 20 (based on 68"F). [6.6.3]
10) The transmitter static span shift is determined based on the normal operating pressure of 900 psig.

ANO-1 Calculation No. DRN 05-3577 Pg Et of $3 Page 262 of 302 80-D-1 083C-01, Rev. 7 CALCULATIONS

1) Reference Leg Fluid Density ( pR)

Per Reference 6.6.3, the specific volume of water at 1200 F is 0.016204 ft3Abm.

The density is the reciprocal of the specific volume, or 61.7132 Ibm/ft3 .

3 Dividing by 1728 to convertto inches: 0.03571 Ibmfin .

2) Steam Generator Water Density ( Pw)

Per Reference 6.6.3, the specific volume of water at 2120 F is 0.016719 ft3Abm.

The density is the reciprocal of the specific volume, or 59.8122 Ibm/ft3 .

Dividing by 1728 to convert to inches: 0.03461 IbmAn 3.

3) Steam Generator Steam Density ( Ps)

Per Reference 6.6.3, the specific volume of steam at 2120 F is 26.799 ft3Abm.

The density is the reciprocal of the specific volume, or 0.0373 Ibm/ft3 .

Dividing by 1728 to convert to inches: 2.16E-05 Ibm/in3 .

4) Height of the Reference Leg (H R)

HR = 156-6 150 inches [6.6.6]

5) Height of Water (H w) and Height of Steam (H s) at 0% Level Hw(0%) = 0 inches Hs(0%) = 150 inches
6) Height of Water (H w) and Height of Steam (H s) at 100% Level Hw(100%) = 150 inches Hs(100%) = 0 inches
7) Differential Pressure at 0% Level (DP 0)

DPo = Pressure Hi Side (P H)- Pressure Lo Side (P L)

= [HW(O%)*pw + Hs(O%)*ps] - [HR*PR]

= [HS(0%)*Ps] - [HR PR]

= -5.354 psi

= -148.57 "H2 0

8) Differential Pressure at 100% Level (DP 100)

DPo = Pressure Hi Side (P H)- Pressure Lo Side (P L)

[Hw(l 00%)*pw + Hs(1 OO%)*psJ - [H R*PR]

= Hwt(100%)*PWJ - [HR*PRJ

= -0.165 psi

-4.58 "H20

9) Span Span DP1oo - DPo 143.99 "H2 0

ANO-1 Calculation No. DRN 05-3577 Pg Uof %3 Page 263 of 302 80-D-1083C-01, Rev. 7

10) Derive Static Pressure Correction Factor Equation Using the procedure outlined in Reference 6.6.8:

CFmADc = (0.0075)(static pressure / 1000 si)x(DPinput) X 16 mADC Span mADC = (0.0075)(900/o1000psix(DPinput) X 16 mADC 143.99 CFmADC = (0.00675)x(DPinput) X 16 mADC 143.99

11) Derive High Range Calibration Table With and Without Correction Factor Desired INPUT INPUT Uncorrected CF Corrected

(%Span) ('H 2O) (mADC) (mADC) (mADC) 0.39 148 4.063 -0.111 3.952 24.70 113 7.952 -0.085 7.868 49.01 78 11,842 -0.059 11.783 73.32 43 15.731 -0.032 15.698 97.62 8 19.620 -0.006 19.614

ANO-1 Calculation No. DRN 05-3577 Pg 93 of t3 Page 264 of 302 80-D-1 083C-01, Rev. 7 7.0 FURTHER DISCUSSION ON LOW LEVEL INITIATE SETPOINT The following discussion and B&W calculation were prepared to analyze the possibility of spurious EFW actuation during startup.

The B&W calculation was originally prepared assuming an EFIC Low Level Initiate setpoint of DRN 8" above the lower tubesheet (LTS) and EFIC uncertainties of +3"/-5". The discussion 05- on the following page clarifies that the actual EFIC Low Level Initiate setpoint was 7.5" 3577 above the LTS and that the calculated EFIC uncertainties were +3.5/-5.5". The discussion further explains that the two assumptions (setpoint and uncertainty) counterbalance each other and that the calculated startup differential pressures should be applicable.

The B&W calculation assumes that the most likely SG pressure for spurious EFW DRN l actuation Is900 psia. Per Table 5.4.4.15 in Section 5.0, the calculated EFIC Low 05- l Level Initiate uncertainties are bounded by 2.50% or +/- 3.75 inches 3577 for a SG pressure of 900 psia.

The differences between the actual and assumed setpoints and between the actual DRN l (Table 5.4.4.1 5)and assumed uncertainties cause a minimal effect on the results of 05- the B&W calculation. Furthermore, the revised setpoint of 5.0 Inches (above the lower tap) 3577 gives additional margin. Therefore, the B&W calculation is considered applicable, and the possibility of spurious EFW actuation, during startup, Is minimal.

DC-134 Rev. 0 Attachment 1 - Design Verification Record Document CALC-80-D-1 083C-01 Rev: 7 (DRN 05-3577)

Number:

Title:

EFIC System Loop Error and Setpoint Analysis Method ED Design Review 0 Altemate Calculations 0Qualification Testing Documents Reviewed ICALC-86-D-1101-01 2 (DRN 05- Establishes new time delay bistable setting of 9.9 +1-0.5 secs. per ER-ANO- 14 3578) 2005-0871-000 ERCN# 01 Al -NE-2005-005 0 Establishes new total EFW system time response requirement of 80 secs/ Lo v

~

69:9a=*a'OfiRE-31/ VgAx ;h i wewj 1an A/,re&V lfi$ Review .fq~p~f~ (.emar Ad gu3 Kh 1

'VG~ue-I,.o~t> -

Reviewed documents above, checked methodology used, and checkMed numecal re'sus q f-' 44 .f Comment Resolution

  • Ha>

Design Verification Completed by: - -.11 01 Design Resolution Accepted by: O&

P-tA4- 91, N&I