Where:
P [wt-&%] = phosphorus content
Mn [wt-%] = manganese content
Ni [wt-%] = nickel content
Cu [wt-%] = copper content
A = 1.140 * 10-7 for forgings
A = 1.561 * 10-7 for plates
A = 1.417 * 10-7 for welds
B = 102.3 for forgings
B = 102.5 for plates in non-Combustion Engineering manufactured vessels
B = 135.2 for plates in Combustion Engineering vessels
B = 155.0 for welds
[PHI]te = [PHI]t for [PHI] [GREATER THAN EQUAL TO]4.39 * 1010 n/cm2/sec
[PHI]te = [PHI]t * (4.39 * 1010/[PHI])0.2595 for [PHI] [LESS THAN]4.39 * 1010 n/cm2/sec
Where:
[PHI] [n/cm2/sec] = average neutron flux
t [sec] = time that the reactor has been in full power operation
[PHI]t [n/cm2] = [PHI] * t
f(Cue,P) = 0 for Cu [LESS THAN EQUAL TO]0.072
f(Cue,P) = [Cue-0.072]0.668 for Cu [GREATER THAN]0.072 and P [LESS THAN EQUAL TO]0.008
f(Cue,P) = [Cue-0.072 + 1.359 * (P-0.008)]0.668 for Cu [GREATER THAN]0.072 and P [GREATER THAN]0.008
Where:
Cue = 0 for Cu [LESS THAN EQUAL TO]0.072
Cue = MIN (Cu, maximum Cue) for Cu [GREATER THAN]0.072
maximum Cue = 0.243 for Linde 80 welds
maximum Cue = 0.301 for all other materials
g(Cue,Ni,[PHI]te) = 0.5 + (0.5 * tanh {[log10([PHI]te) + (1.1390 * Cue)-(0.448 * Ni)-18.120]/0.629}
Equation 8: Residual (r) = measured [DELTA]T30-predicted [DELTA]T30 (by Equations 5, 6 and 7)
Equation 10: Maximum credible heat-average residual = 2.33A/n0.5
Where:
n = number of surveillance data points (sample size) in the specific data set
A = standard deviation of the residuals about the model for a relevant material group given in Table 5.
Where:
m is the slope of a plot of all of the r values (estimated using Equation 8) versus the base 10 logarithm of the neutron fluence for each r value. The slope shall be estimated using the method of least squares.
se(m) is the least squares estimate of the standard-error associated with the estimated slope value m.
Where:
r is defined using Equation 8 and A is given in Table 5
Table 1-PTS Screening Criteria
Product form and RTMAX-X values | RTMAX-X limits [ °F] for different vessel wall thicknesses6 (TWALL) | ||
TWALL [LESS THAN EQUAL TO]9.5 in. | 9.5 in. [LESS THAN]TWALL [LESS THAN EQUAL TO]10.5 in. | 10.5 in. [LESS THAN]TWALL [LESS THAN EQUAL TO]11.5 in. | |
Axial Weld-RTMAX-AW | 269 | 230 | 222 |
Plate-RTMAX-PL | 356 | 305 | 293 |
Forging without underclad cracks-RTMAX-FO7 | 356 | 305 | 293 |
Axial Weld and Plate-RTMAX-AW + RTMAX-PL | 538 | 476 | 445 |
Circumferential Weld-RTMAX-CW8 | 312 | 277 | 269 |
Forging with underclad cracks-RTMAX-FO9 | 246 | 241 | 239 |
6 Wall thickness is the beltline wall thickness including the clad thickness.
7 Forgings without underclad cracks apply to forgings for which no underclad cracks have been detected and that were fabricated in accordance with Regulatory Guide 1.43.
8 RTPTS limits contribute 1 * 10-8 per reactor year to the reactor vessel TWCF.
9 Forgings with underclad cracks apply to forgings that have detected underclad cracking or were not fabricated in accordance with Regulatory Guide 1.43.
Table 2-Allowable Number of Flaws in Welds
Through-wall extent, TWE [in.] | Maximum number of flaws per 1,000-inches of weld length in the inspection volume that are greater than or equal to TWEMIN and less than TWEMAX | |
TWEMIN | TWEMAX | |
0 | 0.075 | No Limit. |
0.075 | 0.475 | 166.70. |
0.125 | 0.475 | 90.80. |
0.175 | 0.475 | 22.82. |
0.225 | 0.475 | 8.66. |
0.275 | 0.475 | 4.01. |
0.325 | 0.475 | 3.01. |
0.375 | 0.475 | 1.49. |
0.425 | 0.475 | 1.00. |
0.475 | Infinite | 0.00. |
Table 3-Allowable Number of Flaws in Plates and Forgings
Through-wall extent, TWE [in.] | Maximum number of flaws per 1,000 square-inches of inside surface area in the inspection volume that are greater than or equal to TWEMIN and less than TWEMAX. This flaw density does not include underclad cracks in forgings | |
TWEMIN | TWEMAX | |
0 | 0.075 | No Limit. |
0.075 | 0.375 | 8.05. |
0.125 | 0.375 | 3.15. |
0.175 | 0.375 | 0.85. |
0.225 | 0.375 | 0.29. |
0.275 | 0.375 | 0.08. |
0.325 | 0.375 | 0.01. |
0.375 | Infinite | 0.00. |
Table 4-Conservative Estimates for Chemical Element Weight Percentages
Materials | P | Mn |
Plates | 0.014 | 1.45 |
Forgings | 0.016 | 1.11 |
Welds | 0.019 | 1.63 |
Table 5-Maximum Heat-Average Residual [ °F] for Relevant Material Groups by Number of Available Data Points (Significance Level = 1%)
Material group | A [ °F] | Number of available data points | |||||
3 | 4 | 5 | 6 | 7 | 8 | ||
Welds, for Cu [GREATER THAN]0.072 | 26.4 | 35.5 | 30.8 | 27.5 | 25.1 | 23.2 | 21.7 |
Plates, for Cu [GREATER THAN]0.072 | 21.2 | 28.5 | 24.7 | 22.1 | 20.2 | 18.7 | 17.5 |
Forgings, for Cu [GREATER THAN]0.072 | 19.6 | 26.4 | 22.8 | 20.4 | 18.6 | 17.3 | 16.1 |
Weld, Plate or Forging, for Cu [LESS THAN EQUAL TO]0.072 | 18.6 | 25.0 | 21.7 | 19.4 | 17.7 | 16.4 | 15.3 |
Table 6-TMAX Values for the Slope Deviation Test (Significance Level = 1%)
Number of available data points (n) | TMAX |
3 | 31.82 |
4 | 6.96 |
5 | 4.54 |
6 | 3.75 |
7 | 3.36 |
8 | 3.14 |
9 | 3.00 |
10 | 2.90 |
11 | 2.82 |
12 | 2.76 |
13 | 2.72 |
14 | 2.68 |
15 | 2.65 |
Table 7-Threshold Values for the Outlier Deviation Test (Significance Level = 1%)
Number of available data points (n) | Second largest allowable normalized residual value (r*) | Largest allowable normalized residual value (r*) |
3 | 1.55 | 2.71 |
4 | 1.73 | 2.81 |
5 | 1.84 | 2.88 |
6 | 1.93 | 2.93 |
7 | 2.00 | 2.98 |
8 | 2.05 | 3.02 |
9 | 2.11 | 3.06 |
10 | 2.16 | 3.09 |
11 | 2.19 | 3.12 |
12 | 2.23 | 3.14 |
13 | 2.26 | 3.17 |
14 | 2.29 | 3.19 |
15 | 2.32 | 3.21 |
10 C.F.R. §50.61a