ML18337A412

C-SGTR RASP Handbook Vol 5 Worksheet Estimate C-SGTR Due to SG Ages Public v3

ML18337A412
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Issue date:	12/04/2018
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This excel file is to provide calculation summary of the example that was used to estimate the conditional C-SGTR fraction for different SG ages as documented in Appendix 2-E of the RASP Handbook Volume 5.

Table 2.3-4 Example Calculation 1 input # of SGs 4 input # of tubes/SG 3300 input Total # of SG tubes 13200 Transferred to tabs "600TT" and "690TT" as input.

input Tube material 600TT 690TT input Nth outage at EFPY 23 input N-1th outage at EFPY 21.7

1. of flaws created from K 21 to K 22 52 From tables 2.3-2 and 2.3-3: adjust as needed 25

1. of flaws created from K 22 to K 23 53 From tables 2.3-2 and 2.3-3: adjust as needed 26 Calc-1 Total # of flaws created from K 21.7 to 23 68 Adjust this equation as needed 34 Calc-2 # of large flaws expected in K 21.7 to K 23 0.05 = Calc-1

• 6.98E-04 0.02 Calc-3 # of pluggable flaws expected in K 21.7 to K 23 8 = Calc-1

• 0.12 4 A quick estimate of conditional C-SGTR probability assuming any large flaw leads to C-SGTR and Calc-4 0.024 0.012 p(CSGTR) accident occur in the middle of the time period The fraction, 0.12 of tubes expected to be plugged is taken from Table 2.3-1 as the probability of flaws that are 0.30 deep or deeper, as represented by the yellow and blue areas in the table.

The probability of a large flaw is 6.98E-04 as defined in Table 2.3-1 by the flaws in the blue area.

Calc-2 Large flaws are shown bu blue and yellow areas in Table 2.3-1.

Calc-3 For information only. It is not used in the above estimates for p(CSGTR), which is given by Calc-4.

Calc-4 Calc-4 = p(CSGTR) = Calc-2 / 2 CAUTION Number of flaws from Tables 2.3-2 and 2.3-3 MUST BE CHANGED if EFPY input is changed.

The equation for Calc-1 in cells C12 and E12 MUST BE ADJUSTED by the user if the EFPY input is changed.

Other calculations are hard-wired.

This EXCEL worksheet allows changing number of SGTs, duration between refueling, and SGT age.

Note: Although this EXCEL workbook can also be used to calculate p(CSGTR) for different number of SG tubes, it is recommended that the p(SGTR) values given in Tables 2.4-1 and 2.4-2 be used as is for LERF estimates, regardless of the number of tubes or loops in a plant of interest.

Table 2.3-5 Example Calculation 2 - RASP Handbook EXCEL-2.xlsx input # of SGs 4 input # of tubes/SG 3300 input Total # of SG tubes 13200 Transferred to tabs "600TT" and "690TT" as input.

input Tube material 600TT 690TT input Nth outage at EFPY 16 input N-1th outage at EFPY 15

1. of flaws created from K 15 to K 16 47 From tables 2.3-2 and 2.3-3: adjust as needed 21 Calc-1 Total # of flaws created from K 15 to 16 47 Adjust this equation as needed 21 Calc-2 # of large flaws expected in K 15 to K 16 0.03 = Calc-1

• 6.98E-04 0.01 Calc-3 # of pluggable flaws expected in K 15 to 16 6 = Calc-1

• 0.12 2 A quick estimate of conditional C-SGTR probability assuming any large flaw leads to C-SGTR and Calc-4 0.016 0.007 p(CSGTR) accident occur in the middle of the time period The fraction, 0.12 of tubes expected to be plugged is taken from Table 2.3-1 as the probability of flaws that are 0.30 deep or deeper, as represented by the yellow and blue areas in the table.

The probability of a large flaw is 6.98E-04 as defined in Table 2.3-1 by the flaws in the blue area.

Calc-2 Large flaws are shown bu blue and yellow areas in Table 2.3-1.

Calc-3 For information only. It is not used in the above estimates for p(CSGTR), which is given by Calc-4.

Calc-4 Calc-4 = p(CSGTR) = Calc-2 / 2 CAUTION Number of flaws from Tables 2.3-2 and 2.3-3 MUST BE CHANGED if EFPY input is changed.

The equation for Calc-1 in cells C12 and E12 MUST BE ADJUSTED by the user if the EFPY input is changed.

Other calculations are hard-wired.

This EXCEL worksheet allows changing number of SGTs, duration between refueling, and SGT age.

FROM THE NUREG WORD FILE Table 7-5. Probability that a Detected Flaw Belongs to a Bin Size Length of Flaw Total 0 to 1 cm 1 to 2 cm 2 to 3 cm 3 to 4 cm 4 to 5 cm 5 to 6 cm 0 to 0.1 2.74E-03 4.62E-02 2.23E-02 5.38E-03 1.04E-03 1.80E-04 7.78E-02 0.1 to 0.2 1.86E-02 3.14E-01 1.52E-01 3.66E-02 7.08E-03 1.23E-03 5.29E-01 Flaw Depth $/100 0.2 to 0.3 9.59E-03 1.62E-01 7.81E-02 1.89E-02 3.64E-03 6.31E-04 2.73E-01 0.3 to 0.4 3.09E-03 5.21E-02 2.52E-02 6.07E-03 1.17E-03 2.03E-04 8.78E-02 0.4 to 0.5 8.47E-04 1.43E-02 6.90E-03 1.66E-03 3.22E-04 5.57E-05 2.41E-02 0.5 to 0.6 2.14E-04 3.61E-03 1.74E-03 4.21E-04 8.13E-05 1.41E-05 6.08E-03 0.6 to 0.7 5.14E-05 8.67E-04 4.19E-04 1.01E-04 1.95E-05 3.38E-06 1.46E-03 0.7 to 0.8 1.19E-05 2.01E-04 9.73E-05 2.35E-05 4.54E-06 7.86E-07 3.39E-04 0.8 to 0.9 2.71E-06 4.57E-05 2.21E-05 5.32E-06 1.03E-06 1.78E-07 7.70E-05 0.9 to 1.0 small Total 3.52E-02 5.93E-01 2.86E-01 6.91E-02 1.34E-02 2.31E-03 ~1 1.00E+00 WHEN NUREG WORD FILE IS IMPORTED INTO EXCEL AND ROW AND COLUMN SUMS ARE MADE Table 2.3-1. Probability that a Detected Flaw Belongs to a Bin Size Flaw Length Total 0 to 1 cm 1 to 2 cm 2 to 3 cm 3 to 4 cm 4 to 5 cm 5 to 6 cm 0 to 0.1 2.74E-03 4.62E-02 2.23E-02 5.38E-03 1.04E-03 1.80E-04 7.78E-02 0.1 to 0.2 1.86E-02 3.14E-01 1.52E-01 3.66E-02 7.08E-03 1.23E-03 5.30E-01 Flaw Depth %/100 0.2 to 0.3 9.59E-03 1.62E-01 7.81E-02 1.89E-02 3.64E-03 6.31E-04 2.73E-01 0.3 to 0.4 3.09E-03 5.21E-02 2.52E-02 6.07E-03 1.17E-03 2.03E-04 8.78E-02 0.4 to 0.5 8.47E-04 1.43E-02 6.90E-03 1.66E-03 3.22E-04 5.57E-05 2.41E-02 0.5 to 0.6 2.14E-04 3.61E-03 1.74E-03 4.21E-04 8.13E-05 1.41E-05 6.08E-03 0.6 to 0.7 5.14E-05 8.67E-04 4.19E-04 1.01E-04 1.95E-05 3.38E-06 1.46E-03 0.7 to 0.8 1.19E-05 2.01E-04 9.73E-05 2.35E-05 4.54E-06 7.86E-07 3.39E-04 0.8 to 0.9 2.71E-06 4.57E-05 2.21E-05 5.32E-06 1.03E-06 1.78E-07 7.70E-05 0.9 to 1.0 small Total = 3.51E-02 5.93E-01 2.87E-01 6.92E-02 1.34E-02 2.32E-03 1.00E+00 1.00E+00 6.98E-04 total probability of blue area 1.20E-01 total probability of yellow + blue areas 1.19E-01 total probability of yellow area 1.00E+00 total probability of table bins

Table 2.3-2 Flaw Estimates - 600TT 600TT h(k) = mu*K + sigma = Hazard Rate Nflaws = (# of tubes) * [1.0 exp[{(1/2) *

• k2 +

• k}]] = NFlawsAvg

1. of tubes 13200 K = EFPY mu = 6.42E-05 0 0 sigma = 1.32E-03 2.00E-04 1.00E-03 Flaws generated since last EFPY TOTAL # of flaws detected at EFPY (1)

K K Volumetric Axial Circumf. Total Volumetric Axial Circumf. Total (1)

EFPY EFPY 15 30 0 0 30 15 357 0 0 357 16 31 3 13 47 16 388 3 13 403 17 32 3 13 48 17 419 5 26 451 18 33 3 13 49 18 451 8 40 499 19 34 3 13 49 19 484 11 53 547 20 34 3 13 50 20 518 13 66 597 21 35 3 13 51 21 552 16 79 647 22 36 3 13 52 22 588 18 92 699 23 37 3 13 53 23 624 21 106 751 24 38 3 13 54 24 661 24 119 804 25 39 3 13 54 25 699 26 132 857 26 39 3 13 55 26 737 29 145 912 27 40 3 13 56 27 777 32 158 967 28 41 3 13 57 28 817 34 172 1023 29 42 3 13 58 29 858 37 185 1080 30 43 3 13 59 30 900 40 198 1137 31 44 3 13 60 31 942 42 211 1196 32 45 3 13 60 32 986 45 224 1255 33 45 3 13 61 33 1030 48 238 1315 34 46 3 13 62 34 1075 50 251 1376 35 47 3 13 63 35 1120 53 264 1437 (1) Total is not adjusted for # of flaws that are already plugged.

Table 2.3-3 Flaw Estimates - 690TT 690TT h(k) = mu*K + sigma = Hazard Rate Nflaws = (# of tubes) * [1.0 exp[{(1/2) *

• k2 +

• k}]] = NFlawsAvg

1. of tubes 13200 K = EFPY mu = 5.58E-05 0.00E+00 0.00E+00 sigma = 6.86E-04 0.00E+00 0.00E+00 Flaws generated since last EFPY TOTAL # of flaws detected at EFPY (1)

K K Volumetric Axial Circumf. Total Volumetric Axial Circumf. Total (1)

EFPY EFPY 15 20 0 0 20 15 219 0 0 219 16 21 0 0 21 16 239 0 0 239 17 22 0 0 22 17 260 0 0 260 18 22 0 0 22 18 282 0 0 282 19 23 0 0 23 19 304 0 0 304 20 24 0 0 24 20 328 0 0 328 21 25 0 0 25 21 352 0 0 352 22 25 0 0 25 22 376 0 0 376 23 26 0 0 26 23 402 0 0 402 24 27 0 0 27 24 428 0 0 428 25 27 0 0 27 25 455 0 0 455 26 28 0 0 28 26 482 0 0 482 27 29 0 0 29 27 510 0 0 510 28 30 0 0 30 28 539 0 0 539 29 30 0 0 30 29 569 0 0 569 30 31 0 0 31 30 599 0 0 599 31 32 0 0 32 31 630 0 0 630 32 33 0 0 33 32 662 0 0 662 33 33 0 0 33 33 694 0 0 694 34 34 0 0 34 34 727 0 0 727 35 35 0 0 35 35 761 0 0 761 (1) Total is not adjusted for # of flaws that are already plugged.