ML20106C658

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Rev 1 to Calculation 91-E-0019-01, Loop Error Analysis for Naoh Tank T10 Level
ML20106C658
Person / Time
Site: Arkansas Nuclear Entergy icon.png
Issue date: 03/26/1991
From: Sullins G
ENTERGY OPERATIONS, INC.
To:
Shared Package
ML20106C647 List:
References
91-E-0019-01, 91-E-0019-01-R01, 91-E-19-1, 91-E-19-1-R1, NUDOCS 9210060283
Download: ML20106C658 (24)
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l CALCULATION COVER SHEET Calc No. : 91-E-0019-01 Unit : _ _1 Category: Non-O Calc

Title:

__ Loop Error System (s): C A ,__ _ _

ADaly_s_is for NaOH Tank T10 Level. TopirIal TNUN Calc Type: IC Component No(s): _LT-1616, Plt Area: bldg Elev C47-4-8-1, LI-1616, LS-1616 Room Wall Coordinates Abstract (Include Purpose /Results): To calculate the accu-acy of the ANO-1 Sodium Hydroxide (NaOH) Tank T10 level measuring instr-ume_nt loop. The results are given in the conclusions section of his calculation.

=- - - - - - - . _ _ _ = = = = = = = = - - - _==--- =________-_ - = - - - - - - ---___-

Rev No.: 0  % nification Method: Design Review _X_ ,

Alternate Calculation: Qualification Testing:

Pages Revised and/or Added: _ Paces 1-18 Purpose of Revision:_To provide a response to CR-1-90-0136 AI#5.

Initiating Document (s) Resulting Document (s) Reference Calcs CR-1-90-0136 ~

Amends Calc (s):

Supercedes Calc (s) :

Computer Software (Version): S_ypphony (2.2), Freelance (3.0)

Files 91E1901.WR1 and 91E1901.DRW ny: $/Ap 6 /hd,# Su 36-9/ Rvw'd:

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Check if Additional Revisions:

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-ANO Calculation No. 91-E-0019-01, Rev. 2 Page 1 of 18.

TABLE OF CONTENTS ,

PURPOSE 2 SCOPE 2 INTRODUCTION 2 INSTRUMENT LOOP BLOCK DIAGRAM 3 ASSUMPTIONS & GIVEN CONDITIONS 4 ANALYSIS PROCESS MEASUREMENT 5 TRANSMITTER 7 INSULATION RESISTANCE 8 SIGNAL CONVERTER 1 9 INDICATOR 10 SWITCH 11 CONCLUSIONS 12 REFERENCES 16 ATTACHMENT ONE 17

. ATTACHMENT TWO 18a ATTACHMENT THREE 18c 1

l Prepared by: IrbC Date: 9-/[p(d Checked by:_ A%/ Date: 9-N-pn j 1

_ . . ~ _- . . . - - . - . - ,_ . -.. -. -

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ANO Calculation No. 91-E-0019-01, Rev. O Page 2'of 18.

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PURPOSE i The intent of this calculation is to determine the accuracy of tho'ANO-1 Sodinm Hydroxide (NaOH) tank level instrument loops.

SCOPE This calculation is applicable to the following instrument loop:

UNIT INSTRUMDil LOOP SERVICE 1 LT-1616 NaOH Tank T10 Level Instrument loop errors are calculated for the Reference condition and Abnormal condition.

The loop output error is calculated for the following outputs:

UtILT IFSTRUMENT/REVICE 1 LI-1616 1 LS-1616

-INTRODUCTION The statist ical method of the Square Root of the Sum of the Squares (SRSS) is ueled to determine the random error on a component level and for the loop. Non-random errors are combined algebraically with the

( random error term to establish total error.

This calculation is done ir. accordance with the guidelines set forth in-the Instrument Loop E:ror analysis and Setpoint Methodology Manual (Reference 13).

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 error term. A lower case "t" is added to denote a combinction of bias and random errors.

I Prepared by: _$LC Date: 3-2.2.-9/ Checked by: Date: $-2 M /

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_> SWITCH > 9 SW1 a e eSW1 SW1ot @

LS-1616 -

o O C-E

.. 8 tN N PROCESS SIGNAL "

TRANS?.ilTTER ' INDICATOR >-

TRXo CONVERTER 1 GCio INDo E MEASUREMENT PMEb eTRX TRXob ESC 1 SC1ob i etND INDot o O

9 LT-161G C47-4-8-1 L1-1616 -

ha h e FIGURE 1 s<

NAOH TANK T10 LEVEL ~,

b 2

8 '8

.. W O

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T "

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ANO Calculation No. 91-E-0019-01, Rev. O Page 4 of-18 ASSUMPTIONS AND GIVEN CONDITIONS

1. Since no specific data is available, line voltage variance is assumed to be +/- 10%.
2. Due to the unavailability of drift values from the vendors, the drift value for each device is assumed to be no greater than the Reference Accuracy for that device.
3. The calibration error for the buffer and signal monitor is based on using two digital voltmeters, each having a reference accuracy of one-half that of the respective instrument.
4. The calibration error for the indicator is based on using an input calibration device having a reference accuracy of one-half that of that device and using the indicator as the output.
5. The calibration error for the transmitter is based on using a Dead Weight Tester and a digital voltmeter each having a reference accuracy of one-half that of the respective instrument.
6. The transmitter is located outside the Auxiliary and Raactor buildings. The transmitter will be exposed to the radiation field caused by the BWST contents. However, the normal BWST radiation field is minor and is considered to have a negligible effect on the transmitter.
7. The Bailey Voltage Buffer module (C47-4-8-1) and Signal Monitor module (LS-1616) internal circuitry voltages are regulated by zener diodes.. The tener diodes provide a voltage reference that is extremely accurate. Therefore, any module supply voltage variation that occurs will not appreciably affect the overall accuracy of the module. The inaccuracy caused by supply voltage variance will be considered negligible based on engineering judgerent.
8. The calibration temperature for the transmitter is assumed to be 60 degrees F. This is a conservative temperature to envelope the expected ambient temperature at the time of calibration.
9. The Temperature Effect specifications for the Bailey Voltage Buffer 0.25% of span module (C47-4-8-1) over an ambient and Signal temperature Monitor range of 49(L5-1616)-

- 140 deg F. is +/S ince the ambient internal cabinet temperature, 105 deg F, falls within the specified.

temperature range, a Temperature Effect.value of +/- 0.25% of span will-be used.

10. According to Ref.19, the output voltage of the power supply will

-vary 12% with a 10% supply voltage variance. Therefore, the power supply variance for the transmitter will be +/- 12%.

11. The resolution is based on the formula RES=0.5* smallest scale demarcation. Per field inspection the scale for LI-1616 is 0-35 ft in 1 ft increments. Therefore, the RES=0.5 ft. The RES expressed in % span

-is as follows: 0.5/35*100% = 1.428%.

Prepared by: $CC Date: 3-22'9/ Checked by: Date:b-25'# /

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ANO Calculation No. 91-E-0019-01, Rev. O Fuge.5 of 18 4

PROCESS MEASUREMENT The process measurement error will be based on the density changes caused by tank contents temperature and concentration. The tank temperature is controlled by-temperature switch TS-1618. The temperature switch setpoints are set to maintain the temperature between 73-and 80 degrees F. A review of Operations Log 1015.003A-9 (Ref. 17) indicates the nominal tank temperature is 75 deg F during the Fall, Winter and Spring seasons. During the Summer season,- the tank temperature will increase to above the upper setpoint temperature-due to higher ambient temperatures. A review of Ref. 17 indicates the tank temperature will rise to approximately 90 deg F. NOTE:The tank temperature will fluctuate very little (i.e. 1 degree) during a 24 hour2.777778e-4 days <br />0.00667 hours <br />3.968254e-5 weeks <br />9.132e-6 months <br /> period. This delta T is considered insignificant for the purposes of this calculation.

-The temperature of the tank' contents is assumed to be uniform due to convectional mixing (Ref. 16). The temperature of the fluid in the measuring log is considered to be the same as the tank contents. This consideration is substantiated by the following facts :

1. The transmitter is flange mounted onto an extension from the tank.

This configuration is relatively short in length.

2. The measuring leg piping and associated isolation valve are heat traced up to the transmitter.
3. The measuring leg piping and associated isolation valvo are

-insulated up to the transmitter.

NOTE: There is no reference leg on this instrument installation.

The transmitter-is calibrated using a Specific Gravity (S.G.) of 1.201 (Ref.5). PER-1-84-12 (Ref. 14) provided the S.G. values to used in the calibration of the NaOH level loop per OP-1304.019 (Ref.5). The S.G.

values were based on 68 deg F. The corresponding NaOH concentration is 18.16 % wt.The calibration conditions are substantiated by a review of Chemistry log 1042.001CC (Ref.18). The average value for the NaOH concentration for the time period from.10/6/88 to.7/12/90 is 18.17 %.

The process measurement error will be calculated at.the-following temperatures:

1. Normal Winter (75 degF)
2. Normal Summer (90-degF)
3. SAR Low Temp -(40 degF)
4. SAR High Temp (120 degF)

The process measurement error will be calculated at the following NaOH concentrations for-each of the aforementioned temperatures:

1. Tech Spec Low Ccac. (15.00% wt)
2. Tech Spec High Conc. (20.80%.wt)
3. Normal Average Conc. (18.16% wt)
4. Intermediate Conc. (17. 00% wt)
5. Intermediate Conc. (20.00% wt)

Prepared by: SC Date: 3-22-9 j Checked by: / Date: 3-254/

. l ANO Calculatirn No. 91-E-0019-01, Rev. O Page 6 of 18 PROCESS MEASUREMENT The process measurement errt. (PMEb) for the various conditions is given as follows:

PMEb = (HL(SG0 Tank Temp - SG068 F)/HLmax*SG068 F) *100% (Ref. 13)

The maximum error will occur when HL equals Hmax (Ref.13). Therefure, the equation simplifies to :

PMEb = ((SGOTank Temp - SG068 F)/SG068 F) *100%

The value that will be used for the SG@68F will be determined from the concentration conditions established for calibration purposes. This concentration is 18.16% wt. The SG value is 1.19886 0 68 dog F. The derivation of this value will be explained in Attachment one.

The PMEb for Temperature vs NaOH Concentration is presented below:

PMEb %

Tank Temperature NaOH % wt 40 degF 75 degF 90 degF 120 degF 15.00 -2.28 -3.07 -3.43 -4.19 17.00 -0.42 -1.24 -1.61 -2.39 18.16 0.66 -0.18 -0.56 -1.34 20.00 2.37 1.51 1.12 0.31 20.80 3.11 2.24 1.84 1.03- ,

NOTE:The numerical values for the PMEb term will not be included in the analysis portion of this calculation. The conclusions portion of the calculation will include the PMEb values as part of the total Value.

The derivation of the specific gravity values used in calculating the PMEb is shown in Attachment One.

Prepared by: $/ C Date: 3-22Of M.ecked by: h3 Date:$~23d)

- ._. _ .. - = _ - _ . . _ _ _ _ - , . _ _ . _ _ _ . _ _ . _ _ _ _ _

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ANO Calculation No. 91-E-0019-01, Rev. O Page 7 of 18 i

ANALYSID NaO!! TANK LEVEL LEVEL TRANDMITTER EQMP.9FIHT ID TAG NUMBER  : LT-1616 'Ref. 1)

MANUPACTURER : FOXBORO ERef. 2 '

MODEL NUMBER : E17DM-HSil31A LRef. 3 CAPSULE CODE : 11 LRef. 4 RANGE  : 0-35 FT LRef. 5)

SPAN  : 35 FT P R O C E M Z E H Y I E 9.N M E N T E E " ?' 9 1 T I O N E l

AMD CAL TEMP  : 60 F (A&GC **) l AMD ADN TEMP LOW  : 32 P DT1=28 (Raf. 12) i AMD ADN TEMP HIGN : 90 F DT2=30 'Ref. 12) t PWR 3 PL1 VOLTAGE  : 84 VDC .: Ro f . 2)  :

PS VO!/r VAR (DV)  : 4/- 12 % (A&GC IO)

EEROR HN3AM REF ACCURACY (RA) : +/- 0.50 % (Ref. 4)

DRIFT (DR) : +/- 0.50 % (A&GC 2)

CALI DRATION (CAL) : +/- ( (RA/2 ) ' 2 4 (RA/2 ) ' 2 ) ' 0. 5 (A&GC 5)

+/- 0.35 %

ADN TEMP EFFECT  : +/- ((ZERO EFF)*2 + (SPAN EFF) ' 2 ) ' 0. 5 (Ref. 13)

ZERO EFF  : +/- 2 . 0 SL SPAN /100 F

  • DT2 (Ref. 21)

ZERO EFF  : +/- 0.60 %

SPAN EFF 6 4/- 2.0 % SPAN /100 F

  • DT2 (Ref. 21)

SPAN EFF  : 4/- 0.60 %

ADN TEMP E. (TE): +/- 0.85 1.

REI ATION EFFECT  : Negligible (A&GC 6)

PWF SPLY EFFECT  : +/-

.1 % por 10 % volt chango

  • DV -(Ref. 4)

PWR JPLY a (PS)  : 4/- 0.12 %

The transmitter error (cTRX) is given an follows:

REF cTRX a 4/- (RA4 CAL)

  • REF.OTRX = +/- 0.85 ADN eTRX =

+/- ( (RA4 CAL) ^ 2 + PS'2 4 TE*2 4 DR*2)~0.5 AEN eTRX ra

+/- 1,31 Prepared by1 _$1C Date: 3 22"9]. Checked by: Date: NI*i / .

4 s- , . . - - - , . . . = , , . . - - - . , - - . - , . . _ . , _ , - - - - . _ . , _ , , - . - - .

e ANO Calculation No. 91-E-0019-01, Rev. O Page 8 of 18 The output RANDOM crror terms for the transmitter (TRXo) are:

REF TRXo = +/- eTRX REF TRXo = +/- 0.85 ABN TRXo a

+/- eTRX ABN TRXo =

+/- 1.31 The output BIAS error terms for the transmitter (TRXob) are:

REF TRXob = PMEb ADN TRXob = PMEb

\

INSULATION RESISTANCE Insulation Resistance (IR) error is introduced during accident conditions when temperature, pressure and humidity conditions increase, causing a degradation of electrical insulation in electrical signal components. The IR error is r t applicable to thi- loop error calculation for the following ceasons:

1. The instrumentation is in place to ensure Non-Accident compli-ance with Tech Spec values.
2. The instrumentation is not utilized to take any actions during an accident that requires use of the NaOH (i.e. Containment-Spray).

Prepared by: MC Date: 3-2/ '9I Checked by: Date:$'25"TI

. . _ . . ..._m.._.__ _ __ _ _._______ _ _ _

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. . i ANO Calculation No. 91-E-0019-01, Rev. O Page 9 of 18 BIGNAL CONVERTER 1 l l

COMPONEEI ID i TAG NUMBER  : C47-4-8-1 ckt 3 [Ref. 6)

MANUFACTURER : BAILEY (Ref. 2)

MODEL NUMBER : 6624610-1121 (Ref. 5)

EEVIRONMENT G QARDITIONE AMD CAB TEMP  : 105 F [Ref. 9) )

PS VOLT VAR (DV)  : +/- 10 % (A&GC 1) '

EBROR _B_UMMlEX REF ACCURACY (RA) : +/- 0.10 % (Ref. 8) '

DRIFT (DR) : +/- 0.10 % (A&GC 2)

CALIBRATION (CAL) : +/- ((RA/2)"2+(RA/2)'2)'0.5 0,07 %

(A&GC 3) -

+/-

TEMPERATURE EFFECT: +/- 0.25 % From 40 dog F to 140 dog F (Ref. 8)

TEMP e (TE) : +/- 0.25 % (A&GC 9)

POWER SPLY EFFECT : Negligible (A&GC 7)

The signal converter error (cSC1) is given as follows:

REF eSCI = +/- (RA+ CAL)

REF eSCI = +/- 0.17 ABN cSC1 = +/- ( (RA+ CAL) ^ 2 + TE ' 2 + DR' 2 )

  • 0. 5 ABN eE C1 = +/- 0.32 The output RANDOM error terms'for the signal converter (SClo) are:

REF SClo = +/- (TRXo'2 + ESC 1'2)*0.5 '

REF SClo = +/- 0.87 ABN SClo = +/- (TRXo'2 + ESC 1'2)'0.5

  • ABN SClo = +/- 1.35

-The output DIAS error terms for the signal converter (SClob) are:

REF SClob = REF-TRXob ABN SClob = ABN TRXob L

. Prepared by:- $4C Date: N 22-9/ Checked by: Date: $-2I'i/

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i ANO Calculation No. 91-E-0019-01, Rev. O Page 10 of 18 INDICATOR COMPONENT ID TAG NUMBER  : LI-1616 (Ref. 1)

MANUFACTURER : BAILEY (Ref. 2)

MODEL NUMBER : RY1000-BJO-1 (Ref. 7)

SPAN  : 35 FT (Ref. 5) ,

ENVIRONMENTAL CONDITLOES l

AMB TEMP VAR (DT) : +/- 9F (Ref. 13)

LINE VOLT VAR (DV) : +/- 12 VAC (A&GC 1)

EBlLQB fLUMMARY -

REF ACCURACY (RA) : +/- 1.00 % (Ref. 10)

DRIFT (DR) : +/- 1.00 % (A&GC 2)

RESOLUTION (RES) : +/- 1.43 % (A&GC 11)

CALIBRATION (CAL) : +/- ((RA'2)'2 + (RES)*2)*0.5 (A&GC 4)

+/- 1.51 %

TEMPERATURE EFFECT  : +/- 0.01 % span per dog F

  • DT (Ref. 10)

TEMP e (TE) : +/- 0.09 %

LINE VOLTAGE EFFECT : +/- 0.02 % span por VAC

  • DV [Ref. 10]

LINE VOLT e (LV) : +/- 0.24 %

The indicator error (eIND) is given as follows:

REP eIND = +/- ( ( RA+ CAL) ' 2 + RES ' 2 ) ' O . 5 REF eIND = +/- 2.89 %

ABN eIND = +/- ( (RA+ CAL)

  • 2 + LV' 2 + JR'2)'0.5 ABN cIND = +/- 3.07 %

The output RANDOM error terms for the indicator (INDo) are:

REF INDo = +/- (Sclo'2 + eIND*2)"O.5 REF INDo = +/- 3.02 ABN INDo = +/- (SClo*2 + eIND'2)*0.5 ABN INDo = +/- 3.35 The total loop error terms for the indicator (INOot) are:

REF INDot = +/- REF INDo + REF SClob ABN INDot ='+/ _ABN INDo + ABN SClob NOTE: The numerical valuc3 will be presented in the Conclusion portion of the calculation.

t Prepared by: $CC Date: 3-22-T/ Checked by: Date:hl6'Tl

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- ANO Calculation No. 91-E-001'-01, Rev. O Page 11 of 18 DWITCH COMPONEHT 1Q j TAG NUMBER  : LS-1616 (Ref. 1)

MANUFACTURER : BAILEY LRef. 2) ,

MODEL NUMBER : 6623819Al JRef. 5) i O

1:NVIBQJUNENTAL Q_ONDITIONJ AMD CAB TEMP  : 105 F [Ref. 9)

PS VOLT VAR (DV) : +/- 10 % (A&GC 1)

);JRROB

SUMMARY

REF ACCURACY (RA) : +/- 0.25 % 11) l DRIFT (DR) : +/- 0.25 % [(Ref.A&GC 2)

CALIBRATION (CAL) : +/- ((RA/2)*2 + (RA/2)*2)"O.5 (A&GC 3)

+/- 0.18 %

TEMPERATURE EFFECT: +/- 0.25 % From 40 deg F to 140 dog F (Ref. 11)

TEMP e (TE) : +/- G.25 % (A&GC 9)

POWER SPLY EFFECT : Negligible (A&GC 7)

The switch error (cSW1) is given as follows:

REF eSW1 = +/- ( RA+ CAL)

REF eSW1 = +/- 0.43 ABN eSW1 = +/- ( (RA+ CAL) ' 2 + TE
  • 2 + DR" 2 )
  • 0. 5 ABN OSW1 = +/- 0.55 The output RANDOM error terms for the signal converter (SWlo) ara:

REF SWlo = +/- (SClo"2 + eSW1'2)'O.5 REF SWlo = +/- 0.97'  ;

ABN SWlo = +/- (SClo*2 + eSW1^2)"O.5 ABN SWlo = +/- 1.46 The total loop crror terms for the indicator (SWlot) are:

REF SWlot = +/- REF SWlo + REF SClob ABN "Wlot a +/- ABN SWlo + ABN SClob .

NOTE: The numerical values will be presented in the Conclusion portion of the calculation.

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' Prepared by: Jl.-O Date: k22'T/ Chechoc by: Date: S-83^9/

a-r - + - . . . , - - . + - , . - . - . , . . - . , _ - - . . . , - . . ., i ~ -

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ANO Calculation No. 91-E-0019-01, Rev. O Page 12 of 18 CONCLUSIONS The Reference loop errors at output device LI-1616 (INDot) aret REFERERCC CONDITIOJIS NaOH 40 degF 7L degF

%wt  % SPAN FEET  % SPAN FEET

________.... 4.._______........ _______. 4..... ___________.......

15.00 + 3.02 1.06 + 3.02 1.06 5.30 1.86 -

6.09 2.13

_..._ -......+.._____.. _______..._____.+_____...._____.........

17.00 + 3.02 1.06 + 3.02 1.06 i 3.44 1.20 -

4.26 1.49 l

____________.+________________.... _____+.........__________ ... .

18.16 j + 3.68 1.29 + 3.02 1.06 1.06 -

3.20 1.12

_. __________1. _______3.02 _ .......... ___________..______.________

20.00 + 5.39 1.89 + 4.53 1.59 3.02 1.06 -

3.02 1.06

.._______ ...+... .________..___ .......+. .... ____ ...____ . _

20.80 + 6.13 2.15 + 5.26 1.84 ,

3.02 1.06 -

3.02 1.06 NaOH 90 degF 120 degF

%wt  % SPAN FEET  % SPAN FEET

...______... +- ........._____.. ...... +____________________...

15.00 + 3.02 1.06 + 3.02 1.06 6.45 2.26 -

7.21 2.52

... ______ ._4.... ..___________...____.-_.._....___________....

17.00 + 3.02 1.06 + 3.02 1.06 e 4.63 1.62 -

5.41 1.89

.. ........._+ _ ....._________..... _____ ..____. ___________

18.16 + 3.02 1.06- + 3.02 1.06 -

3.58 1.25 -

4.36 1.53 ,

_____ _______4___ .. ____________...____+.........____._________

20.00 + 4.14 1.45 + 3.33 1.17 3.02 1.06 - 3.02 1.06

........ .___+.____. ___________________#___ .... ____________ >

20.80 + 4.86 1.70 + 4.05 1.42 3.02 1.06 -

3.02 1.06 k

Prepared by: _.$ LC - Date: 3-22-9/ Checked by: .  ? Date: 1 25 -9/ '

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, . . . ; s. .

e ANO Calculation No. 91-E-0019-01, Rev. O Page 13 of 18 1rhe Abnormal loop errors at output device LI-1616 (INDot) are:

ARNQRKbL CREDITIONS i NaOH 40 degF 75 degF l

%wt  % SPAN FEET  % SPAN FEET

_-+-------------------------_+-------_---------------

15.00 + 3.35 1.17 + 3.35 1.17 5.63 1.97 -

6.42 2.25 ,

_--------+--------------------------.-------_---------------

17.00 + 3.35 1.17 + 3.35 1.17 3.77 1,32 -

4.59 1.61

+--------------------------+-----------------------

18.16 + 4.01 1.40 + 3.35 1.17 3.35 1.17 -

3.53 1.24

+-----_----------------_---4.-----------------------

20.00- + 5.72 2.00 + 4.86 1.70 ,

- 3.35 1.17 -

3.35 1.17 )

.....--------+--------------------------+----------------------- l 20.80 + 6.46 2.26 + 5.59 1.96 l 3.35 1.17 -

3.35 1.17 NaOH 90 degF 120 degF  !

%wt  % SPAN FEET  % SPAN FEET

+--------------------------+-----------------------

! 15.00 + 3.35 1.17 + 3.35 1.17

( -

6.78 2.37 -

7.54 2.64 .

_---+-------_------_-----------+-----------------------

17.00 + 3.35 1.17 + 3.35 1.17 4.96 1.74 -

5.74 2.01

+--------------------------+----------------------- '

18.16 i

+ 3.35 1.17 + 3.35- 1.17 3.91 1.37 -

4.69 1.64

+--..-----------------------------------_-----------

20.00 + 4.47 1.57 + 3.66 1.28 3.35 1.17 -

3.35 1.17

---------------------------+--------_--------------

20.80 + 5.19 1.82 + 4.38 1.53 3.35 1.17 -

3.35 -1.17 L

l Prepared by: ,.6LC Date: 3-22-7/ Checked by:

Date: I'dI'7/

- -. . _ - . . . . . . . . _ . . _ . , . _ - _ . . . . _ . . _ . . . . . _ _ . - . - - - , ~ . - _ - ~ - _ _ - _ . _ _ _ . - - . - _ - , _ , _ . - - . - . , . - - . . . - . _ . - -

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-A!K) Calculation No. 91-E-0019-01, Rev. O Page 14 of 18  :

h The -Reference loop errors at output device LS-1616 (SWlot) are:  !

BEERREHQE CONDITJ_QM NaOli _

40 degF 75 degF ,

twt  % SPAN PEET  % SPAN FEET

..... ____ ..+. ___ ....................+....___................

15.00 -+ 0.97 0.34 + 0.97 0.34 3.25 1.14 -

4.04 1.41

....._.......+__....__. _____...........+..__ .....__...........

17.00 + 0.97 0.34 + 0.97 0.34 i 1.39 0.49 -

2.21 0.77

.......__.-_.+ ___ ____. _ .. .._______+ _____. __..__..______.

18.16 4 1.63 0.57 + 0.97 0.34 0.97 0.34 -

1.15 0.40 ,

....--_.---__4_.........................+--_-_........._.._...._ j 20.00 + 3.34 1.17 + 2.48 0.87 i 0.97 0.34 -

0.97 0.34

--_....__----+....._ .....--_____.......+ _. __s....._-.........

20.80 + 4.08 1.43 + 3.21 1.12 0.97 0.34 -

0.97 0.34 t

NaOH 90 degF 120 degF

%wt  % SPAN FEET  % SPAN FEET

_....___...+..._..____-__..______.-__4________...___........

15.00 + 0.97 0 34 + 0.97 0.34 4.40 1.54 -

5.16 1.81 *

........_....+ ................. ... ___+......... ..__.. ...... '

17.00 + 0.97 0.34 + 0.97 0.34 2.58 0.90 -

3.36 1.18

. ........ ..+ ___....... .__.-_.-______ +. __. __ ..___ _-____.

18.16 + 0.97 0.34 + 0.97 0.34 1.53 0.54 -

2.31 0.81-

.. ......+....-_..._...._--______.--- .....--_ ---.____--_ --

20.00 + 2.09 -0.73 +- 1.28 0 '. 4 5 '

0.97 0.34 -

0.97 0.34

___ .........+.........__________.._____+ __. _______...____..._

20.80 + 2.81 0.98 + 2.00 0.70 0.97- 0.34 -

0.97 0.34 Prepared by: _5cc cate::3-z2. -9/ cnccxed by: A _ oato: 1-25-9/ -

i y 'e--w., g w&v -+~ ,..,.y .Ne ,w. ,&~--,,,,-,,,,n-, .,v-,_,4w. ,,,ws,',y,,-w,,--,. ,..,ne--,,., n_,-,w-, r , ,,ye~.--w .,p-~

ANO Calculation No. 91-E-0019-01, Rev. O Page 15 of 18 The Abnormal loop crrors at output device LS-1616 (SWlot) are:

ADNORMAL COEDITIONS 1 ...__....____..__.................___....................__..___

NaON 40 degF 75 degF

%wt  % SPAN FEET  % SPAN FEET

. ..__ ..... +-__________.......... __ +._ . ____...__________.

15.00 + 1.46 0.51 + 1.46 0.51 3.74 1.31 -

4.53 1.58

--.... ...__.+.__..__ ..........__......+........___......__....

17.00 + 1.46 0.51 + 1.46 0.51 1.88 0.66 -

2.70 0.94

__...._______+__........__._________... 4........__......__....__

18.16 + 2.12 0.74 + 1.46 0.51

- 1.46 0.51 -

1.64 0.57

..........___+..____. __ ___ .. __ ... 4.____....__ ....___ ....

20.00 + 3.83 1.34 + 2.97 1.04 1.46 0.51 -

1.46 0.51

.._____. ____+__ ..________.__ __ ..__.+_..___ .....__ ..____.

20.80 + 4.57 1.60 + 3.70 1.29 1.46 0.51 -

1.46 0.51 NaOH 90 degF _

120 degF

%wt  % SPAN FEET  % SPAN FEET

..... . ... _4.___ ....__ ....___.. ____.+.__________.. ____ ----

15.00 + 1.46 0.51 + 1.46 0.51 4.89 1.71 - 5.65 1.98

. ___.._...._+_________________ ..______+_....._______...... ...

17.00 + 1.46 0.51 + 1.46 0.51 3.07 1.07 -

3.85 1.35

______ ....__+.. ..... .....____ ... ___+___________________....

18.16 + 1.46 0.51 + 1.46 0.51 2.02 0.71 - 2.80 0.98

...___ ._____+-______.. ......._________+-__. ____-- ____.._____

20.00 + 2.58 0.90 + 1.77 0.62 1.46 0.51 - 1.46 0.51

. ..._... ...+____....._ .__ ......_....+---_...__ ___..___.. __

21.80 + 3.30 1.15 + 2.49 0 0'/

1.46 0.51 - 1.46 0.51 Prepared by: _Stz cate: J-12-9/ checked by: / - cate: F 5 9/

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t ANO Calculation No. 91-E-0019-01, Rev. 1 Page 16 of 18 REFERENCES

1. P&ID M-233 Sheet 1 Rev. 52.
2. SIMS Database
3. BQR-89-0005
4. FOXBORO specification sheet for E17 Electronics Liquid Level d/p Cell Transmitters. FOXBORO document number PSS 2A-101 A.
5. Periodic Test Procedure OP-1304.019 Rev. 5.
6. B&W Vendor drawing 6600-MIR-185 Rev- 6. _
7. Bailey Data Sheet DH-24.
8. Vendor Manual TD B045.0990 Rev. O, Product Instruction - Buffer Module Part No. 6624610P.
9. Conversation Memorandum ANIN-910226-081.
10. Vendor Manual TD B045.2580 Rev. 1, Product Instruction for Bailey Edgewise Indicator.
11. Vendor Manual TD B045.0870 Rev. 1, Product Instruction Signal Monitor Part No. 6623819-1,
12. Unit 1 SAR Section 2.3.3.1.
13. Design Guide IDG-001-0; Instrument Loop Error Analysis and Setpoint Methodology Manual.
14. Performance Evaluation Request PER No. 1-84-12.
15. DCP-83-1160
16. Calculation 83-D-1160-02
17. Operations Log Form 1015.003A-9
18. Chemictry Log Form 1042.001CC
19. FOXBORO General Specifications for 610AT and 610AC Series Single Power Supply. FOXBORO document number GS 2A-12B2 C.
20. Chemical Engineers' Handbook, Fourth Edition, John Perry-Editor
21. Facsimile from Rose Miller-(FOXBORO) to Steve Capehart dated 3/5/91. ANO document / VNEO-910305-081, dhl22. Conversation Memorandum ANIN-910410-151.

Prepared by: g h , Date: h /7-h/ Checked by: I Date: #

7 '-/7-9/

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ANO Calculation No. 91-E-0019-01, Rev. O Page 17 of 18 ATTACIIMENT ONE Speg.if_LQ e Gravity Derivation This attachment will explain the derivation of the Specific Gravity values utilized in this calculation. The percent weight (% wt) of NaOH that is used for calculational purposes is 18.16 0 68 deg F. The origin of this value is discussed in the Process Measurement error section of this calculation. The values for Specific Gravity vs. Temperature were obtained from Reference 20. The Specific Gravity values for 12, 16, 20, and 244 wt NaOH were plotted against temperature in Figure 2 in order to determine any linear relationships. As can be seen from the plot, the Specific Gravity vs Temperature relationship is linear for the concentrations of NaOH. The values for 15, 17, 18.16, 20 and 20.8 % wt

.NaOH can therefore be determined using interpolation formulas.

The values used for calibration purposes were obtained from CRC Handbook of Chemistry ,52 Edition. The values from this handbook vary slightly from the values used in Reference 20. This explains the difference in value of the SG used for calibration (1.201 0 68degT) and the SG used for PMEb determination (1.19886 0 68degF). The use of SG ratios in determining PMEb values eliminates any orror caused by difference-in values due to different references.

The values from Reference 20 are as follows:

TEMP degC SG012% SG@l6% SG020% SG@24%

0 1.1399 1.1849 1.2296 1.2741 15 1.1333 1.1776 1.2218 1.2658 20 1.1309 1.1751 1.2191 1.2629 40 1.1210 1.1645 1.2079 1.2512 60 1.1101 1.1531 1.1960 1.2388 80 1.0983 1.1408 1.1833 1.2259 100 1.0855 1.1277 1.1700 1.2124 The interpolated values are as follows:

TEMP degC SG015% SG017% SG018.16% SG020% SG020.8%

0 1.1737 1.1961 1.2090 1.2296 1.2385 15 1.1665 1.1887 1.2015 1.2218 1.2306 20 1.1641 1.1861 1.1989 1.2191 1.2279 40 1.1536 1.1754 1.1879 1.2079 1.2166 60 1.1424 1.1638 1.1763 1.1960 1.2046 80 1.1302 1.1514 1.1638 1.1833 1.1918 100 1.1172 1.1383 1.1505 1.1700 1.1785 l

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Prepared by: $ 6 C. Date: 3-22 8/ Checked by: Date: b b dI

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.s s

m N

w NAOH @ 24 % WT a NAOH @ 16 % WT _ N NAOH @ 20 % WT O NAOH @ 12 % WF = 3

& 1.28 i g

S 1.27 -

1.26  :*

x o 1.25 -

XQ N

1.24 N '

5 y 1.23 N ' ,'s, o

1'22 * ' 'N' 'o J >- \.

o F- 1.21 ~, N ..

j o

S Od 5 3-'o N m $

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<C x o T 1.19 N-0 1 0 g

D 1~18 W- N x N 0 O__

LL 3,37 N.

~~ x n N

j E D 1.16 N -

ch, LU 1.15 x c g

. (f) 1.14 -t N - s  %

N 1.13 MN N o 1.1 ~<> N1 -

c 1.11 D~

1.1 'N b

. 1.09 ~

1.08 D >

.a 0 20 40 SO 80 100 .e e

TEMPERATURE - DEG C i g u

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ANO Calculation No. 91-E-0019-01, Rev. 1 Page 18a of 18 ATTACHMENT TWO The purpose of this attachment is to provide loop error values that may be used to verify Licensing Basis Documents bounding values for actual Sodium Hydroxide Tank IcVels. The following tables provide values for-worst case scenarios (Ref. 22). The scenarios are :

Case one: Low Tank Temperature, Low NaOH Concentration & Low Level Case Two: High Tank Temperature, High NaOH Concentration & High Level The values for the NaOH concentration extremes were obtained from Tech Spec 3.3.4. The values for the Temperature extremes were obtained from GAR section 6.2.2.4.6.

LI-1616 ABNORMAL CONDITION 0 40 degF Error NaOH Level Bias (INDo 4 PMEb)

  • Note 1

% wt Feet  % Span  % Span Feet 15 30.84 -2.01 + 1.34 + 0.47

  • Note 2 5.36 -

1.88 ABNORMAL CONDITION 0 120 degF Error NaOH Level Bias (INDo + PMEb)

  • Note 1

% wt Foot  % Span  % Span Feet 20.0 35.87 +1.06 + 4.41 + 1.54

  • Note 2

- 2.29 -

0.80 e======================================au====

LS-1616 .

ABNORMAL CONDITION 0 40 degF ,

Error NaOH Level Bias (SWlo + PMEb)

  • Note 1

% wt Feet  % Span  % Span Feet 15 30.84 -2.01 + 0.00 + 0.00

  • Note 2 3.47. -

1.21 ABNORMAL CONDITION O 120 degF Error NaOH Level Bias (SWlo 4 PMEb)

  • Note 1

% wt -Feet  % Span  % Span Feet

~~--------

?0.8 35.87 +1.06 + 2.52- + 0.88

  • Note 2 0.40 -

0.14

  • For notes see page ISD Prepared by: $bC- Date: 4- f74l Checked by: Date: k-M- k

,_.__._,_-._,_-..a

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ANO Calculation No. 91-E-0019-01, Rev. 1 Page 18b of 18 ATTACEMENT TWO

SUMMARY

The acceptability criteria for the lower Tech Spec Indicated Value is as follows:

Indicated Value - Positive Error 2 Lower Analysis Limit

  • Note 3 The calculated value is 33.2 - .47 = 32.73 2 30.84.

Therefore, the Tech Spec value is acceptable.

The acceptability criteria for the higher Tech Spec Indicated Value is as follows: ,

Indicated Value + l Negative Error l $ Upper Analysis Limit

  • Note 3 The calculated value is 35 + .80 = 35.80 1 35.87.

Therefore, the Tech Spec value jo acceptable.

NOTES Note 1:The method of error combination above deviates from IDG-001 in that the PME bias error is combined algebraically with the resulting random portion of the loop error including the random portion which is of the opposite sign of the bias. This is normally not done because certain bias effects may not always occur simultaneously with random errors or the models for the bias may not be precisely predictable.

Using biases of opposite sign to cancel or reduce the random error magnitude could lead to nonconservative results when these conditions are true. However in this calculation the PME error is both certain and precisely predictable for the conditions analyzed. Therefore,.it is acceptable and correct to combine the errors as-shown above. The error combination is expressed as "INDo + PMEb" for the indicator and "SWlo +

PMEc" for the switch.

Note 2:The Height of Liquid that is included in the formula for determining the PME for the indicator is equal to the Safety Analysis limits of 30.84 feet for 15% wt NaOH and 35.87 feet for 20.80% wt NaOH.

These values are used to ensure the Safety Analysis values-are bounded by the Tech Spec values plus instrument error (for the indicator). The Safety Analysis limits of 30.84 ft (15% wt) and 35.87 ft -(20.8% wt)-were obtained from the response to AI/4 of CR-1-90-0136. This response states the level variations are assessed at 34.0 +1.87/-3.16 feet. ANO En ineering Report 89R-1006-02 Rev. 1 is-referenced as the source for th s data.

Note 3:The " Indicated Values" extremes were obtained from Tech Spec-3.3.4. The Tech Spec states the NaOH tank level shall contain an indicated 34.0 +1.0/-0.8 feet of Mr 9 solution. This range equates to 33.2 to 35 feet.

Prepared by: _M Date: (('/7 d/ Checked by: Date: N/7-i/

e a e ANO Calculation No. 91-E-0019-01, Rev. 2 Page 18c of 18 ATTACIIMENT THREE This attachment will discuss the NaOH Tank Level values stated in letter 1CAN099203, Technical Specificatior. Change Psquest Concerning Sodium Hydroxide Tank Required Level. The proposed Technical Specification (TS) change will revise the Naoll tank level requirements f rom 34.0 41,-0.8 feet to 33.2 11.8 feet. The Discussion of Change section of the TS letter provides a discussion of the tank level indication instrumentation errors as related to TS maximum / minimum and Safety Analysis maximum / minimum values.

The TS letter states "The potential instrument error for the NaOH tank level indication instrumentation is bounded by values or 0.80 ft and 0.47 ft for the maximum and minimum NaOH tank levels, respectively."

The error values of 0.80 ft and 0.47 ft are derived in Attachment Two of this calculation. The error values were originally calculated to verify ,

the acceptability of the TS indicated limits of 34.0 +1,-0.8 ft. Since the error values were calculated based on the extreme level values used in the Safety Analysis, i.e. 35.87 ft maximum level and 30.84 ft minimum level, the error values may be used to determine acceptability of the proposed TS indicated limits of 33.2 _1.8 ft. The acceptability equations are presented below:

MINIMUM LEVEL LIMIT TS Minimum Indicated Leve' = Nominal TS Indicated Level - Lower TS Boundery Tolerance TS Minimum Indicated Level = 33.2 - 1.8 = 31.4 ft In order to determine if thu minimum indicated level is acceptable, it is necessary to prove the possible ACTUAL level (i.e. minimum indicated level minus the appropriate positive instrument loop error) is c greater than or equal to the minimum Safety Analysis Level Limit. The -

acceptability equation is as follows:

Indicated Value - Positive Error 2 Minimum Safety Analysis Limit 31.4 - 0.47 = 30.93 which is 2 30.84 Therefore, the TS minimum indicated level is acceptable.

MAXIMUM LEVEL ldliLT TS Maximum Indicated Level = Nominal TS Indicated Level + Upper TS Boundary Tolerance TS Maximum Indicatad Level = 33.2 + 1.8 = 35.0 ft 1r order to determine if the maximum indicated level is acceptable, it ts necessary to prove the possible ACTUAL level (i.e. maximum-indicated level plus the appropriate negative instrument loop error) is less than or equal to the maximum Safety Analysis Level Limit.

Prepared by: _T$ Date: 9-/h 92

~

Checked by: Aird Date: 9 .g.9t G

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  • ** s ANO Calculation No. 91-E-0019-01, Rev. 2 Page 18d of 18 ATTACHMENT THREE The acceptability equation is as follows:

Indicated Value + l Negative Error l $ Maximum Safety Analysis Limit 15.0 + 0.80 = 35.80 which is s 35.87 Ts.orefore, the TS maximum indicated icvel is acceptable.

The various NaOH Tank Levels and descriptions are summarized below:

NaOll Tank Level DescriptiQD -

35.87 ft Maximum level analyzed in the Safety Analysis 35.80 ft Maximum actual level at TS maximum indicated level with instrument loop error 35.0 ft TS maximum indicated level 33.2 ft TS nominal indicated level 31.4 ft -TS minimum indicated level 30.93 ft Minimum actual level at TS minimum indicated level with instrument loop error 30.84 ft Minimum level analy cd in the Safety Analysis

SUMMARY

The possible minimum and maximum actual tank levels calculated by combining TS indicated minimum and maximum levels with the appropriate instrument loop crrors are bounded-by the Safety Analysis level limits.

Prepared by: M [. Date: T['/// -M Checked by: /W Date: f5.// -ft -

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