ML18337A412
| ML18337A412 | |
| Person / Time | |
|---|---|
| Issue date: | 12/04/2018 |
| From: | NRC/NRR/DRA/APOB |
| To: | |
| References | |
| Download: ML18337A412 (6) | |
Text
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 1input# of SGs 4input# of tubes/SG 3300inputTotal # of SG tubes 13200Transferred to tabs "600TT" and "690TT" as input.inputTube material600TT690TTinputNth outage at EFPY 23inputN-1th outage at EFPY21.7# of flaws created from K 21 to K 22 52From tables 2.3-2 and 2.3-3: adjust as needed 25# of flaws created from K 22 to K 23 53From tables 2.3-2 and 2.3-3: adjust as needed 26Calc-1Total # of flaws created from K 21.7 to 23 68Adjust this equation as needed 34Calc-2# of large flaws expected in K 21.7 to K 230.05= Calc-1
- 6.98E-04 0.02Calc-3# of pluggable flaws expected in K 21.7 to K 23 8= Calc-1
- 0.12 4Calc-4A quick estimate of conditional C-SGTR probability p(CSGTR)0.024assuming any large flaw leads to C-SGTR and accident occur in the middle of the time period0.012The 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-2Large 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-4Calc-4 = p(CSGTR) = Calc-2 / 2CAUTIONNumber 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 4input# of tubes/SG 3300inputTotal # of SG tubes 13200Transferred to tabs "600TT" and "690TT" as input.inputTube material600TT690TTinputNth outage at EFPY 16inputN-1th outage at EFPY 15# of flaws created from K 15 to K 16 47From tables 2.3-2 and 2.3-3: adjust as needed 21 Calc-1Total # of flaws created from K 15 to 16 47Adjust this equation as needed 21Calc-2# of large flaws expected in K 15 to K 160.03= Calc-1
- 6.98E-04 0.01Calc-3# of pluggable flaws expected in K 15 to 16 6= Calc-1
- 0.12 2Calc-4A quick estimate of conditional C-SGTR probability p(CSGTR)0.016assuming any large flaw leads to C-SGTR and accident occur in the middle of the time period0.007The 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-2Large 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-4Calc-4 = p(CSGTR) = Calc-2 / 2CAUTIONNumber 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 0 to 1 cm 1 to 2 cm 2 to 3 cm 3 to 4 cm 4 to 5 cm 5 to 6 cm0 to 0.12.74E-034.62E-022.23E-025.38E-031.04E-031.80E-047.78E-020.1 to 0.21.86E-023.14E-011.52E-013.66E-027.08E-031.23E-035.29E-010.2 to 0.39.59E-031.62E-017.81E-021.89E-023.64E-036.31E-042.73E-010.3 to 0.43.09E-035.21E-022.52E-026.07E-031.17E-032.03E-048.78E-020.4 to 0.58.47E-041.43E-026.90E-031.66E-033.22E-045.57E-052.41E-020.5 to 0.62.14E-043.61E-031.74E-034.21E-048.13E-051.41E-056.08E-030.6 to 0.75.14E-058.67E-044.19E-041.01E-041.95E-053.38E-061.46E-030.7 to 0.81.19E-052.01E-049.73E-052.35E-054.54E-067.86E-073.39E-040.8 to 0.92.71E-064.57E-052.21E-055.32E-061.03E-061.78E-077.70E-050.9 to 1.0small3.52E-025.93E-012.86E-016.91E-021.34E-022.31E-03~11.00E+00WHEN NUREG WORD FILE IS IMPORTED INTO EXCEL AND ROW AND COLUMN SUMS ARE MADE 0 to 1 cm 1 to 2 cm 2 to 3 cm 3 to 4 cm 4 to 5 cm 5 to 6 cm0 to 0.12.74E-034.62E-022.23E-025.38E-031.04E-031.80E-047.78E-020.1 to 0.21.86E-023.14E-011.52E-013.66E-027.08E-031.23E-035.30E-010.2 to 0.39.59E-031.62E-017.81E-021.89E-023.64E-036.31E-042.73E-010.3 to 0.43.09E-035.21E-022.52E-026.07E-031.17E-032.03E-048.78E-020.4 to 0.58.47E-041.43E-026.90E-031.66E-033.22E-045.57E-052.41E-020.5 to 0.62.14E-043.61E-031.74E-034.21E-048.13E-051.41E-056.08E-030.6 to 0.75.14E-058.67E-044.19E-041.01E-041.95E-053.38E-061.46E-030.7 to 0.81.19E-052.01E-049.73E-052.35E-054.54E-067.86E-073.39E-040.8 to 0.92.71E-064.57E-052.21E-055.32E-061.03E-061.78E-077.70E-050.9 to 1.0small3.51E-025.93E-012.87E-016.92E-021.34E-022.32E-031.00E+001.00E+006.98E-04total probability of blue area1.20E-01total probability of yellow + blue areas1.19E-01total probability of yellow area1.00E+00total probability of table binsFlaw Depth %/100Total = TotalTable 2.3-1. Probability that a Detected Flaw Belongs to a Bin SizeFlaw LengthTotalFlaw Depth $/100Table 7-5. Probability that a Detected Flaw Belongs to a Bin SizeLength of FlawTotal Table 2.3-2 Flaw Estimates - 600TT600TTh(k) = mu*K + sigma= Hazard RateNflaws = (# of tubes)
- [1.0 exp[= NFlawsAvg# of tubes 13200K = EFPYmu =6.42E-05 0 0sigma =1.32E-032.00E-041.00E-03Flaws generated since last EFPYTOTAL # of flaws detected at EFPY (1)
K EFPYVolumetricAxialCircumf.Total K EFPYVolumetricAxialCircumf.Total (1)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 - 690TT690TTh(k) = mu*K + sigma= Hazard RateNflaws = (# of tubes)
- [1.0 exp[= NFlawsAvg# of tubes 13200K = EFPYmu =5.58E-050.00E+000.00E+00sigma =6.86E-040.00E+000.00E+00Flaws generated since last EFPYTOTAL # of flaws detected at EFPY (1)
K EFPYVolumetricAxialCircumf.Total K EFPYVolumetricAxialCircumf.Total (1)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.