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Extending Calibr Interval of TS Instruments RSCS-11,12,21 & 22
	ML20137F528
Person / Time
Site:	Oyster Creek
Issue date:	03/12/1997
From:	Buhowski R, Deshmukh S; GENERAL PUBLIC UTILITIES CORP.
To:	;
Shared Package
ML20137F477	List: ML20137F472; ML20137F528;
References
	C1302-640-5350, C1302-640-5350-009, C1302-640-5350-9, NUDOCS 9704010125
	Download: ML20137F528 (50)
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E8 NUCLEAR Calculation Sheet Subject Calc. No.

Rev. No.

Sheet No.

Extending Calibration Interval of Tech Spec Instmments Cl302-640-5350-009 1

1of13 RSCS-11,12,21 & 22 ortsin=aor s.rz:. cu 6%W D=se R.M. Buho,'s, Sg Reviewed by paie S. R. Deshmukh March 12,1997 March 12,1997 S Ro A ra W '

l.0 PROBLEM STATEMENT fg, g

v @ 2-W o-807 #"*I JJas191 Oyster Creek LAI 9!102.10 requested that we provide analysis and justification for extending the calibration interval of instruments associated with Condenser Low Vacuum listed for Procedure 619.3.014, Tech Spec Table 4.1.1, Item 18. The test interval extension is necessary to accommodate a new 24-month fuel cycle from the existing 18-month cycle. All intervals have a 25% " grace" period which could take the 24-month intervals to 30-months.

. This calculation performs a drift analysis on instmment surveillance data. Using statistical analysis (linear regression and t-distribution for confidence interval), this calculation will predict a drift at 912.5 days, i.e.,2 years + 25%.

The "As-LeR" and "As-Found" surveillance data from surveillance calibration data sheets in Procedure 619.3.014 " Condenser Low Vacuum Calibration and Test" is used in analysis.

The functions of Condenser Low Vacuum Instruments are to provide alarm and trip setpoint which interface with the Scram, Turbine Stop Valves, Bypass Valves, and Reheater Ventilation System. The analysis predicts the alarm and trip instrument performance at 2 years + 25% margin. It also predicts the performance at 3 i

years from initial calibration just in case the fuel cycle gets extended due to unscheduled outages.

2.0

SUMMARY

OF RESULTS The test surveillance interval extension to 2 yerrs + 25% is acceptable. Based on current setpoints, the drift analysis shows that the instruments will meet the exisiting As-Found Acceptance Criteria at the end of 3 years.

l The calculated 95% tolerance range (Table below - Column 3) predicted to a future date represents the instrument response or its capability based on its actual past performance. This shall be treated as As-Found Acceptance Criteria.

The 95% confidence interval range (Table below - Column 4) shifts the expected or calculated response l1 at the setpoint (Table below - Column 4) based on the past surveillances as a result of where the instrument was left at per As-Left criteria. Thus this shin accounts for the statistical " intercept" of the regr'ession line.

Predicted response of the alarm and trip system instruments are given below. The 95% tolcrance range and 95% confidence interval range for the alarm and trip setpoints are compared in the following table:

9704010125 970316 PDR ADOCK 05000219 P

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Geu NUCLEAn Calculation Sheet Subject Calc. No.

Rev. No.

Sheet No.

Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

2 of 13 RSCS-11,12,21 & 22 Rev'ewed try Date Originator g g g Date t

S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 i

Instrument Calculated 95%

95% Confidence Interval Tolerance @915 days Range @ Setpoint @915 days, i.e.,

i.e.,2 yrs +25%

Setpoint!(1)"Hg Vac

(@ 3 Yrs or 1095 days)

(@.3 Yrs or 1095 days)

Function /Vac Tag No.

Trip System No.

LVA-1 Alarm /t 10.525 24.197 to 25.248 (10.553)

(24.095 to 25.201)

RSCS-11 Trip /l*

10.430 21.394 to 22.254

( 0.453)

(21.306 to 22.213)

RSCS-12 Trip /l" 10.429 21.387 to 22.244

( 0.451)

(21.296 to 22.199)

LVA-2 Alarm /2 0.970 24.110 to 26.049 (11.022)

(24.076 to 26.120)

RSCS-21 Trip /2*

10.865 21.224 to 22.954 i

(f0.910)

(21.185 to 23.006)

RSCS 22 Trip /2" 10.861 21.253 to 22.976

(!0.907)

(21.218 to 23.031)

VT-1 Turbine 11.065 20.937 to 22.610 (11.179)

(20.765 to 22.617)

VT 2 Turbine 11.4595 9.092 to 11.446 (11.617)

(8.946 to 11.554)

Part of RPS Trip System 1 Part of RPS Trip System 2 1.

The current As-Found Acceptance Criteria for the trip setpoint is >20.0" Hg Vac. None of the trip setpoints (last column of the table above) violate the acceptance criteria at 915 days (2 Yrs +

25% margin) or at 1095 days (3 years).

2.

Current As-Left Requirements for alarm and trip setpoints are: 25.1510.25 and 22.2510.25" Hg Vac, respectively. Per last column of the table above, the alarm and trip setpoints do not o zerlap, i.e., the lowest value of alarm confidence range is sufficiently above the highest value of the trip confidence range. This means that the alarm will occur prior to trip setpoint.

The overlap would mean that a potential exists where the trip would occur before the alarm comes in. This could have been possible with some of the earlier setpoints listed in Para. 4.5 and 4.6 which were above the 22.25" Hg Vac.

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NUCLEAR C8lCulatlOn Sheet bubject Calc. No.

Rev. No.

Sheet No.

Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

3 of13 RSCS-11,12,21 & 22 o,$c r

512D D"

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S. R. Deshmukh March 12,1997 R.M.'d 6 Buhowski March 12,1997 4

l 3.

Instmments VT-1 and VT-2 are provided for turbine trip on low vacuum. These instmments do i

not have any Tech Spec requirements. Performance of these instruments is documented in the i

above table for information only per the request of the system engineer Jim Munley. Calculations (Appendices 3.G.7 and 3.6.8) show that the 95% confidence range of the predicted values exceed the existing acceptance criteria limits.

i NOTE:The correlation co:fficient (r) values are calculated in the Appendices 3.6.1 to 3.6.8. The higher l 1 4

correlation coefEcient values are considered to be significant since it shows a definite strength of relationship. However these values are not considered important since the projected values to j

915 or 1095 days are well within the acceptance criteria.

1 l

5 1 REFERENCES 3.1 Oyster Creek Surveillance Procedure 619.3.014 " Condenser Low Vacuum Calibration and Test".

j 3.2 Excerpt from Applied Statistics for Engineers, Second Edition, William Volk, Krieger Publishing, 1986.

i 3.3 Calculation 1302-640-5350-002, Rev. 3, dated 4/9/91.

j 3.4 TDR 1009, Rev.1, " Condenser B Low Vacuum Transient".

3.5 Figures 2 & 6 from Reference 3.4 (included as Sheets 12 & 13 of this calc).

l1 3.6 Appendices 3.6.1 LVA-1 & LVA-lNU 3.6.2 LVA-2 & LVA-2NU 2

3.6.3 RSCS-11 & RSCS-11NU 3.6.4 RSCS-12 & RSCS-12NU 3.6.5 RSCS-21 & RSCS-21NU 3.6.6 RSCS-22 & RSCS-22NU 3.6.7 VT-1 l

3.6.8 VT-2 3.6.9 Microfiche surveillance sheets U:\\MSOffice\\Winword\\ Misc \\LAI91102

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4 of 13 RSCS-11,12,21 & 22 ortshar s rz.D D*

"'*"ed by De S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 4.0 ASSUMPTIONS & BASIC DATA 4.1 The "As-Found" 95% confidence interval based on surveillance data from 1989 to 1994 is summarized below for instmments RSCS-0011,0012,0021 and 0022 which are all manufactured i

by Namco Controls and are the same model #D1200G. Instruments 0011 and 0012 are on Vacuum Trip No. I and instruments 0021 and 0022 are on Vacuum Trip No. 2. The "As-Found" and "As-Len" readings were taken from the associated A, B, and C Bellows for each trip system j

instrument.

Per Procedure 619.3.014, Rev.16, there are a total of six vacuum bellows associated with the two vacuum trip logic. The bellows A, B, and C are associated with the Vacuum Trip System No. I linkage, and another set of bellows A, B, and C are associated with the Vacuum Trip System No. 2 linkage. The two A bellows share a common sencing line to the A condenser, the two B bellows share a common sensing line to the B condenser,and the two C bellows share a common sensing line to the C condenser. Also attached see Figures 2 & 6 of Reference 3.4.

4.2 Readings from surveillance records dated 2/25/89 through 11/30/94 were used in this calculation.

However, on 12/9/89 the pivot arm rod on C Bellows Vacuum Trip System No. I broke during surveillance and the data following (12/11,12/12 and 12/13) seems to be more of an adjustment period than actual surveillance readings, therefore some of such data points were not included in the data set. Appendices 3.6.1 to 3.6.8 identify the omitted data (last page or last two pages of each Appendix).

The bellows problem is also documented by Calc 1302-640-5350-002, Rev. 3 (Ref. 3.3) as follows:

"During the surveillance on 12/11/89 the "B" Bellows on vacuum Trip #2 was leaking which is an actual failure rather than driR. A leaking bellows would cause a bias in the vacuum decrease

~

direction which would falsely indicate "drin" (over and above the true random drin) in the positive direction (would actuate sooner) during a vacuum decrease. This is the reason we obtained a large drift in the positive direction on 12/11/89 of 0.69 (vacuum trip # 1) and 1.17 (vacuum trip #2).

The bellows was replaced on 12/11/89 and the remaining bellows are scheduled to be replaced in the 13R outage."

4.3 Instruments 0011 & 0012 were reset according to Job Order #31476 on 6/10/91.

There were no readings taken 6/10/91 for Instruments 0021 & 0022 per the Instrument Shop, therefore, it is not included in the data set.

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(bu s u ct.f A n Calculation Sheet Subject Calc. No.

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Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

5 of 13 RSCS-11,12,21 & 22 on um.c s rz b D**

"'***d br D"

s S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 4.4 If the surveillance data "As-Found" value was not equal to the "As-Lea" value, it is assumed that the instmment has been reset and recalibrated. The recalibration begins a new run for the affected instmments. Longer such runs provide a tighter confidence interval of predicted value. Shorter i

mns will provide a wider range of predicted values.

4.5 The "As-Found" acceptance criteria for Vacuum Trip No. I changed four times in the period stated in 4.2. The changes are as follows:

Vacuum Trip No.1 As-Found Criteria As-LeR Criteria Dates 23 to 23.5" Hg Same 2/25/89 to 12/11/89 24 to 24.25" Hg Same 12/11/89 to 3/31/90 223.0" Hg 23.65 to 23.90" Hg 3/31/90 to 4/21/91 223.0" Hg 22.0 to 22.5" Hg 4/21/91 to 6/10/91 220.0" Hg 22.0 to 22.5" Hg 6/10/90 to 11/20/94 i

4,6 The "As-LeR" acceptance criteria for Vacuum Trip No. 2 changed four times in the period stated in 4.2. The changes are as follows:

Vacuum Trip No. 2 As-Found Criteria As-LeR Criteria Dates

}

23 to 23.5" Hg Same 2/25/89 to 12/11/89 24 to 24.25" Hg Same 12/11/89 to 3/31/90 2

l 223.0" Hg 23.65 to 23.90" Hg 3/31/90 to 4/21/91 223.0" Hg 22.0 to 22.5" Hg 4/21/91 to 6/10/91 220.0" Hg 22.0 to 22.5" Hg 6/10/90 to 11/20/94 4.7 For the purposes of this calculation we have used a deviation value from its desired midpoint, e.g.,

Acceptance criteria = 22 to 22.5" Hg.

Hence the Desired midpoint is 22.25 and if the Surveillance "As-Found" were = 22.29" Hg Vac, the deviation would be: 22.29 - 22.25 = 0.04" Hg Vac.

l For regression analysis all values equivalent to 0.04" Hg Vac are used as shown in the attached Appendix Column "E" The calculated 95% tolerance range projected to a future date represents the instmment response based on its actual past performance. This data is then converted to the confidence range around setpoint.

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Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

6 of13 RSCS-11,12,21 & 22 on hwer s e r>

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S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 5.0 CALCULATION j

5.1 Methodology This calculation uses Oyster Creek Technical Specification Surveillance Program calibration data.

The regression techniques of Reference 3.2 are used to provide the high probability and level of confidence ofinstrument drift. The actual calculations were originally performed on LOTUS 1-2 g l!

3 spread sheets, and this revision simply converted them as Microsoft Excel files.

5.2 The suneillance data obsened from suncillance calibration data sheets for the functions listed in j

Section 1.0 are provided in the Appendices Section (attached).

j 5.3 The steps in predicting uncertainty in instrument res'ponse at 912.5 days are as follows:

5.3.1 Linear regression is used to determine drift in instmment response. With data that can be correlated by a straight line, there is one straight line from which the sum of the squares of deviations of one of the variables is a minimum. This is the Least Squares Line.

If the pairs of values of the variables associated with each data point are designated xi (time since last instrument calibration) and yi (instrument response, i.e., suneillance data),

j with yi assigned to the variable which is dependent, a straight line through the data is expressed as:

9

= a + bx (Ref. 3.2 Eq. 9.1) where

{

9

= estimated value ofy for an observed value of x a

= intercept, giving estimated value of at x = 0 b

= slope of estimated line, or regression coefficient.

The values of a and b corresponding to the line with the minimum squared deviation of y from p are:

a = y-x (Ref. 3.2 Eq. 9.2)

I(x-x);Y

~

~

b=

(Ref.3.2 Eq.9.3) where x and i are mean values ofx and y, respectively.

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(heu N UC M Asr Calculation Sheet Subjoet Cak No.

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Sheet No.

Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

7 of13 RSCS-11.12,21 & 22 i

N 5 rr 6 n*

ae* 4 by o.

S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 These equations are derived by setting a variable equal to the sum of the squares of deviations of y from 9, and finding the minimum expressions for this variable by equating its first derivative to zero.

Q = I (y - 9)2 = I (y-a-bx)2 (Ref. 3.2, pg 262) b = - 2 E (y-a- bx) = 0, or

&a Iy-Ia-Ibx=Iy-Na-bIx=0 (Where N = Number of Variables)

= - 2 E x (y-a- bx) = 0, or Ixy-Iax-Ibx'=Ixy-aIx-bIx =0 2

(substituting i -bx for a)

Exy -jIx + b x Ix - bEx' = 0

)

'ExEy' (E xy) -

b=

Y ~ E (Ref.3.2 Eq.9.5)

- x E x, or b =

(Ex) 2 Ex g2 N

5.3.2 Significance of Linear Correlation (Ref. 3.2, pgs 266 & 267)

If the sum of the squares of deviation of y and i is expressed as I(y - 9)2, and the sum of 4

the squares of deviation of y from the correlation line 9 is expressed as I(y-9)', then if a straight line correlation is used, it can be shown by substituting for 9 its equivalent a + bx that:

I(y-9)2, y (y,p)2 - b Ix -x Ex (Ref. 3.2 Eq. 9.I1) 2 2

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NUCLEAN Calculation Sheet Subject Calc. No.

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Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

8 of 13 RSCS-11,12,21 & 22 m >*r s te b De Re*wd by pese e

S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 Similarly, by substituting for b its equivalent

(*~

2}

(Ref.3.2 Eq.9.3) b=

I (x - x)2 I (y- )2 3 (y, y )2 - bE (x-x ) (y-y)

It can be seen from these equations that b 3 (x,;)2, or bE(x-x)(y-y) represents the 2

portion of the sum of squares of deviation of the original data that has been removed by the linear correlation, with I (y-9)2 attributed to error.

2 The sum of squares of deviation removed by the correlation may be designated 'c and expressed in the alternative forms:

I'c = b 3 (x,;)2 = bI(x-x)(y-y)(Ref. 3.2 Eq. 9.12) 2 2

The ratio of the sum of the squares removed by the correlation to the sum of the squares of the original data is a measure of the fit of the correlation. The square root of this ratio is the correlation coefficient r.

E' c'

, ;,, E (y-9/, b'E(x-x)', E (y-y)* - E(y-9)*

'2

, I(y-i)'

E (y-if E (y i)'

E (y-i)'

When there is perfect correlation between x r.ad y, there is no residual deviation of y from 2

9 and r = 1.0. When there is no correlation, and none of the sum of squares of deviation 2

is removed by the linear relationship, then r = 0. The r value indicates the percentage of the variability removed by the linear correlation (i.e., due to driR). Thus, r = 1 means a perfect correlation between x and y, which represents instrument drin over time and r = 0 means random relationship between time and instmment output or response.

5.3.3 Variance Test of Correlation (Ref. 3.2, pgs 271 & 272)

The sum of the squares of deviation from the mean divided by degrees of freedom provides the best estimate of the variance. The sum of the squares of deviations from the least squares line divided by the degrees of freedom of the correlation gives a measure of the variance of the estimated 9 values.

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Ghou NUCLEAR CalculatlOn Shed.

Subject Calc.1o.

Rev. No.

Sheet No.

Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

9 of13 RSCS-11,12,21 & 22 Origimotor

$2h Date Reviewed by Date S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 The total sum of squares of deviation of the dependent variable from its mean is I (y-y)2,

and the total degrees of freedom are N-1. Since r' is the fraction of the sum of the squares of deviation removed by the correlation line (1-r ) 3(y, y)2 is the sum of the squares of the 2

least squares line, equal to I(y-9)2, with N-2 degrees of freedom. It follows that r'I (y-y)2 is the sum of squares of deviation attributable to the correlation with the remaining single degree of freedom.

l In summary (Ref. 3.2 Table 9.4):

I Source of Variance Sum of Squares Degrees of Vadance j

Freedom Estimate 2

2 Least squares line(variation r g(y,p):

1 a (c) accounted for by the correlation) 2 Residual Variation (1.r') I(y-y):

N-2 o (y) or I(y y+)2 Total I(y.p)2 N-1 5.3.4 Confidence Limits of Slope and Least Squares Line (Ref. 3.2 pg 273)

The variance of estimate s ( ) may be used to set confidence limits on the least 2

squares line. The confidence limits are defined as t*s, where t is selected at the proper degrees of freedom and the desired probability level, and s is the estimated standard deviation, the square root of the variance, of the function involved.

i The following formulas give the estimated variances of several quantities in a linear correlation (Ref. 3.2, pgs 273,274 & 275):

Variance of Slope (Ref. 3.2 Eq. 9.16) s*(y) 2s (b)=

I(x-x)2 U:\\MSOffice\\Winword\\ Misc \\LAI91102

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sheet No.

Extending Calib ation Interval of Tech Spec Instmments Cl302-640-5350-009 1

10 of 13 RSCS-11,12,21 & 22 Origimetor ggh Date Reviewed by Date S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 Variance of Estimate (Ref. 3.2 Eq. 9.19) s g, E (y-9)'

2 N-2 i

Variance of Any Estimated Value 9i at time x; (Ref. 3.2 Eq. 9.17)

N s' (ii) = s* (9)

+

_N E(x -x)2, 4

Variance of Any Predicted Value (Ref. 3.2 Eq. 9.18) ra 3 2 -

s' Y.

s (9) 1+ 1 + (*~*9 2

l N

E(x-x)2

(

s 2

The variance of estimate s (9) is a measure of the average deviation of the data points from their estimated value according to the correlation line. Actually, it is the sum of the squares of deviation divided by the degrees of freedom available for calculating the correlation.

The following discussion is from Reference 3.2, pages 274 & 275:

A confidence range to the slope may be calculated from the standard deviation of 2

the slope, obtained from the square root of s (b) (Ref. 3.2 Eq. 9.16) and the i

l proper t value, i.e., slope b i t ' s(b).

The variance of an estimated value of the dependent variable at any value of the independent variable can be expressed as the variance of any value estimated from the least squares line is equal to the variance of the mean of the depadent variabb, plus the product of the variance of the slope and the square of the deviatica of the independent variable from its mean. The further from the mean, the greater is the variance of the estimated value.

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4 (h%u NUCLEAn Calculation Sheet.

Subject Calc. No.

Rev. No.

. Wet No, Extending Calibration Interval of Tech Spec Instmments Cl302-640-5350 009 1

11 of 13 RSCS-11,12,21 & 22 odcaer s rr_h na N by D*

S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 The confidence range of any single predicted value of the dependent variable will be wider than the confidence range of a value estimated from the correlation, wider by a measure of the confidence of the correlation itself. In other words, to the variance of an estimated value of fi, as given by Reference 3.2, Eq. 9.17, we add 2

the variance of estimate s (9), as defined in Eq. 9.18 to get the variance of the value predicted from the correlation.

The variances of any single predicted value is given in Eq. 9.18 (Ref. 3.2).

5.3.5 Predictions to 912.5 days The instrument response is predicted at 915 days using the relationship:

i=

a+b-The variance of this prediction is calculated as:

r3 2 -

Y.

s'6) 1 + '- + ("d 2

s l

N I(x -x)2, i

(

s The 95% confidence range of this prediction is:

i [t co.os,w.n

s (ii)] f' one-sided t-distribution i

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2 a

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O O

S VACUUM TitlP SYSTEM NO. I FUNCr!ONAL DI AGitAM (System No. 2 similar) g h

C x

"T a

=

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o*

g s.rz A / s %

p M

O E

O c tj a r?.Gs31' S G T Pot n T:

spare kg 2.96 5't, 016 "Ilg hc h

o low vacuum alarmH tvA-t turbine trip O

h

, p zg+o.ggepi g \\

collar set to trip g[d M

ewitch set at c

/

g 3.9" Hg vacuum at 2* hg vacuum 0D*

IM T1-1 O

[ ASC1 s t.82 W y

-1 m

cam h

V reactor serem switches set at Hg vacuum e

O Q'

M2 m

l[1"'[

aus i gg[

0 O

n m

a-vnsi D

C3 h

T torque A

8 HSOP f

shaft m

condenser.. _ J C2 -

C3' HSOP M

O from "C.

,c

\\

lecharge d {

3 ET kf p

&)

drainh 225 pelg #

3r

B2 f

l g

[

1 E

euPP Y B1 33 ~g drain u

drain l

C.T t.a O

ta P

(.

ir m back-up M A,:F

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g 72-eb D3 from "B*

-I B2 overspeed trip l

A

"E drainh condenser air i'

+ A2 k

N 'i ***"'

.uppir w

E

yQ h

9 mi A3 J f

to espergency governor o,< w g

g N

D Ia A,3

Notes:

1-System shown at normal vacuum :

28* Hg vac o

drainh standard 1'

2. All componente loc,ated in front HSOP W

discharge -- '

225 pelg f

KF F

from *A.

ei-6 contion==c R*

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O o

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(heu NUCLEAn Calculation Sheet Subjoet Cak.Na, Rev. No.

Sheet No.

Extending Calibration Interval of Tech Spec Instruments Cl302-640-5350-009 1

13 of13 RSCS-II, 12,21 & 22 or$paar om ne

se by ne e S. R. Deshmukh March 12,1997 R.M. Buhowski March 12,1997 TDR 1009 Rev. 1 FIGURE 6 Page 28 or CONDENSER LOW VACUUM REACTOR TRIP LOGIC condenser condenser condenser A

B C

l il bellows instrument 1A 18 1C 2A 29 2C channel.

h h

I vacuum vacuum trip.

trip system system one two RSCS-11 RSC5-21 RSCS-12 RSCS-22 i'

or or reactor reactor protection protection system system div 1 div II n

signal Key 8"d N) sensing line Mechanical / Hydraulic Electric l

reactor scram Ref. CE 237E566 Sh.

1.

CE 233R309 sh, 2 r

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l C-1302-640-5350 009, Rev. 0

)

APPENDICIES 3.6.1 to 3.6.8 l1 Page1of37 1

SPREADSHEETS FOR:

LVA-1, LVA-2, RSCS 11,12,21,22, VT-1 and VT-2 Note:

Excel does not have the capability to produce statistical characters, hence the characters used in the attached spreadsheet differ from those in the text. The spreadsheet characters are explained below:

Avgx =

Average X = x-bar Avgy =

Average y = y-bar y hat and not y-squared y^

=

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m

..m

_m._.

_m.

-mm-.;

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4 4

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LOW VACUUM ALARM-2 TECH 3PEC-4II PROCEDURE.

619 3014 2

VACUUM TRIP NO 2 ITEM i8 T.S LIMIT:

220 0"Hg Y

MELLOWS A. B & C)

CHANGE FROM REF11ELING (13 MONTMS)TO 2 YEARS + 25%

O INSTR.

DATE DAYS SURN1.,

SURVL M

TAG #

ELAPSED DATA DEVIATION ya = yESTIMATED

()

(See Naar Bekm) x (AUAF) y (Nose 3) y W bX x-AVOx (s-AVGm)^2 y4V0y (y4VOyT2 (s-AVGx)*

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7 (ESTIMATE)

(y-A%W D

LVA-2 A(1) 25fe489 0

24 950

$)

LVA-2 B (1) 25feb89 0

25 050 14 LVA-2 C(l) 25-Feb89 0

25 400 11 LVA-2 A(1) 05-Dec.39 296 24380 12 LVA-2 B (1) 08DeM9 236 23 200 13 LVA-2 C(l) esDec-s9 2ss 25 300

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29 LVA-2 B (1) 14Dec-89 l 0

25 090 30 LVA-2 C(l) 14Dec-89 l 0

25 150 31 LVA-2 A(1) 31-Mar-90 l 107 24 990 32 LVA-2 B (I) 31-Mar-90 l 107 24 380 33 LVA-2 C(l) 31-Mar-90 l 107 24 980 34 LVA-2 A(2) 31-Mar-90 l 0

25.000 35 LVA-2 B (2) 31 Mar-90 l 0

25 140 38 LVA 2 C(2) 31-Mar-90 l 0

25 340 37 LVA-2 A(2) 21-Ap-91 l 386 24 220 38 LVA-2 B (2) 214-91 l 386 24 600 39 LVA-2 C(2) 21-Apr-91 l 386 25 870 40 LVA-2 A(2) 21-Ap-91 l 0

24 960 C1 LVA-2 B (2) 21-Ap-91 l 0

25 020 0

25 080 j

C2 LVA i C(2) 21-Ap 91 l C:\\ExceM)C\\Calcwee-OO9\\LVA-2NU Appendia -3 6.2 (5 Pgs)

LVA-2NU.XLS 3/1t/97

11 l

E F

M H

I J

K L

M A

I B

l C

F3 LVA-2 A(2) 17-h91 57 24 960 44 LVA-2 B (2) 17-h91 57 24 940 45 LVA 2 C(2) 17-h91 57 25 030 48 LVA-2 A (2) 25-Jan.93 645 24 950 C7 LVA-2 B (2) 25-Ja>93 645 24 390 48 LVA-2 C(2) 25-h93 645 24 620 49 LVA2 A(2) 25-h93 0

25110 50 LVA-2 B (2) 25-h93 0

25.050 t1 LVA-2 C(2) 25-h93 0

7 100 52 LVA-2 A(2) 20.Nov-94 664 26 050 53 LVA-2 B (2) 20-Nov-94 664 25 760 54 LVA-2 C(2) 20LNov-94 664 25 5?D 55 AVERAGES )

141 4042551 25 03574468 0

s(y )=5QRT(SUM (y-y"T2TN-2D =

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1 INSTRIMENT CONDENSER LOW VACUtM SCRAM SWITCHES TECilSPEC:

4II PROCEDURE:

619 3 014 2

VACUUM TRIP NO I - RSCS 11 ITEM 18 T S. LIMIT:

>20 Oils 3

MELLOWS A B & Cl CHANGE FROM REFUELING (18 MON'ntS) TO 2 YEARS + 25%

1 INSTR.

DATE DAYS SURVL SUR\\t G

TAGS EIAPSED DATA DEVIATION y^ = y FJTIMATTD O

(See Names Belour) x (AIJAF) y (Nose 5) y -e+bX x-AVGx (s-AVOx)*2 y-AVOy (y-AVOy)a2 (x-AVGxr*

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RSCS ilB(1) 25-fem 9 0

23 000 l 1%

RSCS 11C(1) 25-Fet>-89 0

23450 l 11 RSCS 11 A(1) 080ec 89 256 22 800 l 12 RSCS ilB(1) 080ec-89 286 22900 l 13 RSCS llc (1) 06-Dec-89 286 23 MO l 1

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RSCS IlC(4) 13Dec-89 1

24 060 32 RSCS II A(4) 31 -Mar-90 109 24 150 33 RSCS ilB(4) 3141er-90 110 24 040 34 RSCS itC(4) 3 t h-90 109 24 050 35 RSCS 11 A(2) 31-Mar-90 0

23 890 RSCS ilB(2) 38 W-90 0

23 830 36 t

37 RSCS itC(2) 31 -Mar-90 0

23 850 38 RSCS il A(2) 21-Agr-91 386 23 420

[

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22 320 RSCS il A(3) 10-h91 50 22 020 C3 RSCS IIB (3) 10 lam-91 50 22 250 t

46 RSCS tlc 0) 10than-91 50 22 010 C:\\ Excel \\0C\\ Calc 448-999\\RSCS-11NU Appenedix - 3.6.3 (5 Pp)

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22 030 55 RSCS ilB(3) 25Jen.93 0

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22 210 t-7 RSCS il A(3) 24Nov-94 664 22140 59 RS(3 IIB (3) 20-Nov-94 664 22.420 59 RSCS IIC O) 2SNov-94 664 221td 80 AVERAGES l 110 5 % I518 23 02288462 (

n(yTSQRT(SUM (yfr2,TN-2))=

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M 1 INSTRUMENT:
CONDENSER LOW VACUUM SCRAM SWTTCllES TECH SPEC-4II PROCEDURE 619 3 014 2
YACUUM TRIP NO l - RSCS 12 ITEM.
18 T S. LIMIT:
>20 0"H8 3
(BELLOWS A. R & C)
CHANCE FROM RFJUELING (18 MONTHS) TO 2 YEARS + 25%
C INSTR.
DATE DAYS SURVL SURVL I
TAGS ELAPSED DATA DEVIAT10N y* = y EST1 MATED (1
(See Now Below) x (AIJAF) y (Nase 5) y % bX m-AVGs (x-AVGx)*2 y-AVOy (y AVOvr2 (m-AVOn)*
y-y (y-y^T2 a
7 (ESTIMATE)
(y-AVOH S RSCS 12A(1) 25Tets39 0
21100 0 RSCS I2B(I) 2ifetsS9 0
23 000 13 RSCS 12C(I) 25 M 39 0
23 450 11 RSCS 12A(1) 080ec-89 286 22 800
_12_RSCS 12B (if 080ec.89 286 22 900 I t) RSC312C(l) 084h89 286 23 360 d ggi hdh I'~
]l 15 w
.x e
(
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l SilADED AREAS
^
~ ON l
NOT USED 17 q.k ^ ' h[
" 3h:j IN ANALYSIS h
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PER PARA 4 2 l
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= a
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5:7 -..
3g;;y3 r-24 RSCS 12B(4)
IIOesF89 0
24 020 l M$$$V
~~4i!N#iGB55!5 25 m~~
28 "
^ ~ ~'
82Deo-89 l 27 RSCS 12B(4) 1 24 050 l
' " ~ ~ ^
29 RSCS l2A(4) 12-Dec49 l 0
24 010 30 RSCS 12C(4) 12Dec-89 l 0
24 030 31 RSCS 12C(4) 13Dec-89 l 1
24 060 32 RSCS 12A(4) 314ter-90 l 109 24 150 33 RSCS R2B(4) 3I Almr-90 l 110 24 040 34 RSCS I2C(4) 31-Mar-90 l 109 24 050 35 RSCS 12A(2) 31-Mar-90 l 0
23890 36 RSCS 12B (2) 31-Mar-90 l 0
23 830 37 RSCS 12C(2) 31-Mar-90 l 0
23 850 38 RSCS 12A(2) 21 Ap-91 l 386 23 420 39 RSCS 12B (2) 21-Ap-91 l 386 23 650 g RSCS 12C(2)
Zl-Ap-91 l 386 22 800
{ RSCS 12A(3) 21-Ap-91 l 0
22 130 C2 RSCS 12B 0) 21-Ap-91 l 0
22 100 R RSCS 12C(3) 21-Ap-91 l 0
22 HG 44 RSCS 12A 0) 14h91 l 50 22410 C4 RSCS 12B (3) 10-h91 l 50 22.290 46 RSCS 12C O) 14h91 l 50 22 140 C:\\Encel\\00 Calc 440409\\RSCS-12NU Appenalis - 3 6 4 (5 Pp)
RSCS-12N.X13 3/lI/97
__.m m
A fl C
i D
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L f1 r7 RSCS 12B 0) 10 h 91 0
22 I30 48 RSCS 12A(3) 17-h91 57 22100 49 RSCS I2B(3) 17-h91 7
22 030 50 RSC512C O) 17-h91 57 22 010 M1 RSCS 12A 0) 25-Jan-93 645 21550 52 RSCS 12B(3) 25-Jen.93 595 21 620 53 RSCS I2C(3) 25-Jan-93 645 21 830 54 RSC512A(3) 25-Jen-93 0
22 030 55 RSCS 12B(3) 25-Jan-93 0
22 060 58 RSC512C(3) 25-Jan 93 0
22 210 t7 RSCS 12A 0) 24Nov-94 664 21140 58 RSC5 I2B(3) 24Nov-94 664 22 420 SS RSCS 12C(3) 20-Nov 94 664 22 350 90 AVERAGES l 130 5961538 23 0275 0
s(y*PSQRT(SUM (yy )*1tN-2)) =
a
3gggi.[ "jQg;mtyym e z

gn:meqqw:wnymsqww ^jQ;:: mew.v[.gg; p:m<^m:-@" ~r- -,MIGREI O
(.nemp;@rmam~ft:ww:::
5.q wwm:
.,ygg3j, f.1 51D DEVI.
sgjj;gy [ggg;gjffygj
"* ^" ^;ggggggg yfj'f h fggjf.
g q:gg S2 SUM (x-AVOmr2.
l l
l 0]
~~peaw~~
~~wm::e? e.>-~~
em:r T: mess.wsma e n e m:st.
v s s s%
0 s'2(y ) = l 0
83 SUM (yavoy)*2ihgjagg....gqnggggj S4 SUM (x-AVGx)Ny-AVOy):
l l$33.g g:g g g!gjg g - q d gg g :+:g g g g g]73;j a g:; g a
O y se ~=
~~y pyp oj.pa:p - camypa.r->.mer s #~~
ygm.~
(mp<*:7 n%fmfggg.g Aggdi4A@lis 4 er g.g~.w,yp ygy m pyggepm e gggqq J kd M MR iss G EFG 4.M sWA M 2 W hi: 4 6 lam 4MsiCW.A SW Ansh ;I O
SS SUM (y-y )a2 ggggggggggggig a
SS mm (7 (1) Desselisryt 23 25 % vae SS (2) Demared tary 23 775 "Hg (applies only to AsM)
SS 0)Desnud sary:
22.25
'Hg Vee 70 0) Denned taryt 24 125 % vac 71 (5) survaillara amenon =nuen as hang annas de==ed C:\\Escel\\0CCalc448-809\\lLSCS-12NU AppesisEs - 3.6A (5 Pp)
RSCS-12N.XIS 3/11/97
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INSTRL44ENT-CONDENSER LOW VACtA>M SCRAM SWITCHES TECH SPEC' 4II PROCEDURE 619 3 et 4 2
VACUUMTRIPNO 2 SCsla fTEM is Ts LIMIT 22e 8"Hg 3
GIE11DW3 A, B & C)
CH ANGE FROM REFT'E1.ING (le MONTHSt TD 2 YEARS + 29%
4 INSTR.
DATT.
DATs
~~SURVI, sURVL.~~
5 TAG 8 ELAPSED DATA DEVIATION ya-y ESTtMATED Y
(See Noems Beene) m (AIJAF) y (Noer 5) y%bX u-AVGa (w-AVGKT1 y-AVOy -
(y-AVOyT2 (n-AVGm)*
y-y*
(yfr2 7
(EST1MATD (y-AVO.t il RSCs 21A(t) 2 Mob-M e
23ese 4 21e 4 194
-214 44 ensel331 4 e64 e ese t3 630 4e4 eeel Cl RSCs tlB(t) 25-Feb4e e
23010 4 2ee 4tN
-214 404 dese3 33 4 e14
. 000 2 9e6 A ss6 seen la RKs tic (t) 2Mebee e
23210 eees 4tN
-214 44 4ees3 331 e le6 0 e33
-38 981 etM etM YR2Cs 21 A(1) sE-Duc4e 2M 22 eBe 4 37e 4 104 71 516 5814 317 4 ted eeM 43127 4 186 s e35 12 RSCs ne tt) es-DseJe 2e6 2t ese
-t ese 4 sse 71 516 5114 557
-s ets t ogs
-let eet
-8 416 2 een YRSCs 2tC(1)
GS-Dee4e 1st 23 e7e 4 tes 4 104 71 Sie 5114 $$7 e se6 e ese e 464 e 904 eese 1 *t RKs 2tA(4)
R&Duc4e e
24 40 40s3 4tM
-214 54 desolut e le!
este 23 7eG e lse s et2 14 Rxs 21s(4) i&Dm:4e e
24 eie d oes 4 194
-2is se seas 3 ni seen e sse
-st ets osso e ste 11 RXs tlc (4) t &Due4e e
24 eas d esS 4 194
-214 404 de003 nl s tel este
-28 7e0 018e sell 17 RSCs 2t A(4) 3144s.te te7 23 930 4 t91 A lte
-te7 54 113$2 703 4 ees e gge 0 919 4 005 G ee9 1a RTs tis (4)
EMar-se so7 tiede 4 2ss 4 lge
-te7 404 Its521n a sse e ste lo se2 4 ees e sse
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sacs nC(4) wienre to?
23 em 42es 41,0
-te7 404 t 552 m 4 ees e ste to 9e2 4 ess esse yescsII A(2)
Enear se e
23 ese o e25 4 194
-214 as mes3 na e 2it eses
-n 353 e 219 e aos ERics n A(2) 2 -Apr-9e ins 22 soo 4 975 4 les 17:516 2q 7 7e3 4 7ee e 622
-135 2de 4 795 en2 22 Rrs 21a(9 21-Apr-9 a3 n zes 4 925 484 23 Sie 7757 2M 47w e us
-2e5 ese 47e e se:
23 RTs 2tC(4) 21-Apr-94
~~3 24 2ee e 133 4iM 27e sie 7757 234 8 328 0 tel se $29 e 311 09e7 RSCs 21 A (3) 21-Apr-91 e~~
22 tes 4 see 4tM
-214 54 enee3 ni e se6 e ese
-2e ee7 e led e tlI 26 se ttom 21-Apr-91 e
12 22e 4 sse 4 t94
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-n sw e lse e s27 2e RSCs nC m n-A, 41 e
nees 4m 4:n
-n 4 =4 men 3n om e sse ass e e24 eni 27 RTCs 21 A(3) 17-hun-01
$7 22 210 eese 4 192
-iS7 54 24 Bet 17e e ist 8 935
-29 363 e t92 e 037 29 Rrs 21B 0) 17-hmt.90
$7 22 eie 42.s 4 192
-i57 G4 24 Bel i7e 4 et 4 e ess 21M 4 See eese 29 Ers nCm 17-suw91
$7 22 tm 411e 4 192
-a s7 a4 2 met t7e c ele s ee6 42em e se2 e so?
30 R:les 21 A 0) 153en-93 641 22 25e e see 4 17:
4ie sie ses344 i37 e tes e e35 se 27e '
e att e e29
[
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253ew93 645 23 720 4 no 4 171 41e Sie 1:5344 In 4 M4 e tie
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nm 4in
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2204 4 tes 4 194
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ute a n te 4:n
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38 RSCs 2] A 0) 2ewNo.44 e64 23 les e 910 4 ile 440 Sie 2e2064 7se I tes I 2e2 492 e73 I see I 166 aRxs nam wNo =
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39 AVERAGES l(
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~~u*g p m:n HNN N=
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-NOTES:
46 2323 *Hg Vac 47 it)Denses esser g'2) Desse4 terset-23 773 *Hg (appbes e.Jy to As-l. eft) gi3)Desseltarget 22 21 "Hg Vec tW q 4)Deserwitusset 24 121 "Hg Vec 51 waveiern erw.e== emnen as veertsu nummis de nea Ctacef4Mlaictes-eeNt.SCS-21 Appendix-3 6 5(4 Pgs)
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VAC11UMTRIPNO 2-RsCs22 ITEM to T 5 LIMTF
>20 e*Hg 3
(DFilDeis A e & c)
CHANGE FROM REFUELING (le nsONTMs)TO 2 YEARS + 25%
a INST 1L DATE DAYS SURVL SURVL.
i e5 TAG o ELAP5ED DATA DEVIATION ya-y EST1 MATED ft (Ses Neens bekvar) a (AUAF) y (Nose 5) y%e+W a-AVGa (n-AVGkr2 y-AVOy (y-AVGyr2 (n-AVGm)*
y-y" (yW2 7
(TsTIMATT) fy-AVOyl f4 Rrs 22A(t) 25-Fat >49 e
13 ese 4 25e 4 889
-214 44 dese)nl 4 e74 e tel 15 775 4 est e med n
Escs 228(t) 25Fakse e
23 ese 4 2ee 4 les
-214 e4 asen na 4 e24 e soa 5est 4etI e ese 11: RSCs 22C(t) 2%Feb-Se e
23 21e e sse 4 tet
-214 S 4 4eco3331 elm e ell 37 e46 e le9 ee3e 11 RKs 22A(1)
GB-Dec-se 2e6 22 000 4 37e 4 172 71 St6 Sit e 557 4 194 0 37
-13 842 419e e ele YR2cs 22e(t) es-Dee4e 2e6 2164
-s ees 4 t72 71 516 5 14 557
-1 424 2 026
-191 0117
-8 428 t els 3Rrs 22C(t) seDec-89 286 23 Ble 4 tes 4 72 73 516 5114 557 4 004 e ses 4 154 4 est e ese it RScs 22A(4) 1&Dec.co e
24 ese 4 ses 4 les
-214 e4 desos ni eeen esus
-19 615 e led e eli 15 Rscs 22e(4) t4Duc49 e
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-214 a4 asse)ni e est e es?
-17 ele e ese
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24 ee 4 ces 4 les
-214 e4 anee3 335 s ool e ens
-19 6t3 s ted s eit 17 Rscs 22A (4) 314 ear Go 107 23 91o 4 I55 4 I83
-le7 S4 It552 753 e e21 eese
-2 386 e e2B esei 11 RsCs 225 (4) 3144mr-te 107 23 t's 4 255 4 I83
-te7 e4 II552 733 4 e79 e 006 e 643 4 e72 eee5 1 -2 Rscs 22c(4) 314 ear-te 107 23 ese 4 265 4 ie3
-807 a4 Ii1521e3 4 est eoss 9 sle 4 es2 e es?
20 RSCs 22A Q) 3144mr 90 e
23 ese e e25 4 les
-214 64 dese3 ni e 2ei e 041
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ML20137F528: Difference between revisions

Latest revision as of 23:40, 11 December 2024

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SUMMARY

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=3.

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=i m 44

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