3 Reactor Kinetics
69
Table 3.8 Comparison between subcriticality ρ [pcm] of reference, PNS, and Feynman-α methods
(Ref. [10])
PNS method
Case
ρ [pcm]
Fiber #1
Fiber #2
Fiber #3
II-1
1160 ± 5
1224 ± 10
(0.95 ± 0.01)
1153 ± 8
(1.01 ± 0.01)
2108 ± 59
(0.55 ± 0.02)
II-2
1684 ± 6
1880 ± 15
(0.90 ± 0.01)
1604 ± 11
(1.05 ± 0.01)
4490 ± 109
(0.38 ± 0.01)
II-3
2483 ± 6
2824 ± 22
(0.88 ± 0.01)
2250 ± 15
(1.10 ± 0.01)
10347 ± 116
(0.24 ± 0.01)
II-4
4812 ± 6
5656 ± 62
(0.85 ± 0.01)
4177 ± 31
(1.15 ± 0.01)
22939 ± 1279
(0.21 ± 0.01)
II-5
9895 ± 6
12819 ± 137
(0.77 ± 0.01)
8187 ± 54
(1.21 ± 0.01)
14985 ± 1136
(0.66 ± 0.05)
II-6
11556 ± 6
16312 ± 160
(0.71 ± 0.01)
9738 ± 64
(1.19 ± 0.01)
19109 ± 2563
(0.60 ± 0.08)
Feynman-α method
Case
ρ [pcm]
Fiber #1
Fiber #2
Fiber #3
II-1
1160 ± 5
1491 ± 57
(0.87 ± 0.03)
1283 ± 36
(0.90 ± 0.03)
2445 ± 105
(0.47 ± 0.02)
II-2
1684 ± 6
2024 ± 28
(0.83 ± 0.01)
1814 ± 24
(0.93 ± 0.01)
3250 ± 41
(0.52 ± 0.01)
II-3
2483 ± 6
2881 ± 15
(0.86 ± 0.01)
2677 ± 11
(0.93 ± 0.01)
4203 ± 29
(0.59 ± 0.01)
II-4
4812 ± 6
4336 ± 38
(1.11 ± 0.01)
4384 ± 35
(1.10 ± 0.01)
5740 ± 77
(0.84 ± 0.01)
II-5
9895 ± 6
8087 ± 61
(1.22 ± 0.01)
8316 ± 50
(1.19 ± 0.01)
10110 ± 113
(0.98 ± 0.01)
II-6
11556 ± 6
9633 ± 88
(1.20 ± 0.01)
10175 ± 68
(1.14 ± 0.01)
12096 ± 150
(0.96 ± 0.01)
Bracket means the C/E (calculation/experiment) value
Table 3.9 Comparison between ρ $ [$], β eff [pcm], and [× 10 −5 s] by the PNS method and
MCNP calculations (Ref. [10])
ρ $ [$]
β eff [pcm]
[× 10 −5 s]
Case
Fiber #2 (PNS)
MCNP6.1
MCNP6.1
Fiber #2 (PNS)
II-1
1.47 ± 0.01
785 ± 4
4.88 ± 0.01
5.93 ± 0.08
II-2
2.04 ± 0.01
785 ± 4
4.77 ± 0.01
5.28 ± 0.09
II-3
2.87 ± 0.01
783 ± 5
4.64 ± 0.01
4.80 ± 0.05
II-4
5.30 ± 0.02
788 ± 5
5.16 ± 0.01
5.11 ± 0.06
II-5
10.03 ± 0.03
816 ± 5
5.43 ± 0.01
5.53 ± 0.05
II-6
12.08 ± 0.03
806 ± 5
5.50 ± 0.01
5.46 ± 0.05
69
Table 3.8 Comparison between subcriticality ρ [pcm] of reference, PNS, and Feynman-α methods
(Ref. [10])
PNS method
Case
ρ [pcm]
Fiber #1
Fiber #2
Fiber #3
II-1
1160 ± 5
1224 ± 10
(0.95 ± 0.01)
1153 ± 8
(1.01 ± 0.01)
2108 ± 59
(0.55 ± 0.02)
II-2
1684 ± 6
1880 ± 15
(0.90 ± 0.01)
1604 ± 11
(1.05 ± 0.01)
4490 ± 109
(0.38 ± 0.01)
II-3
2483 ± 6
2824 ± 22
(0.88 ± 0.01)
2250 ± 15
(1.10 ± 0.01)
10347 ± 116
(0.24 ± 0.01)
II-4
4812 ± 6
5656 ± 62
(0.85 ± 0.01)
4177 ± 31
(1.15 ± 0.01)
22939 ± 1279
(0.21 ± 0.01)
II-5
9895 ± 6
12819 ± 137
(0.77 ± 0.01)
8187 ± 54
(1.21 ± 0.01)
14985 ± 1136
(0.66 ± 0.05)
II-6
11556 ± 6
16312 ± 160
(0.71 ± 0.01)
9738 ± 64
(1.19 ± 0.01)
19109 ± 2563
(0.60 ± 0.08)
Feynman-α method
Case
ρ [pcm]
Fiber #1
Fiber #2
Fiber #3
II-1
1160 ± 5
1491 ± 57
(0.87 ± 0.03)
1283 ± 36
(0.90 ± 0.03)
2445 ± 105
(0.47 ± 0.02)
II-2
1684 ± 6
2024 ± 28
(0.83 ± 0.01)
1814 ± 24
(0.93 ± 0.01)
3250 ± 41
(0.52 ± 0.01)
II-3
2483 ± 6
2881 ± 15
(0.86 ± 0.01)
2677 ± 11
(0.93 ± 0.01)
4203 ± 29
(0.59 ± 0.01)
II-4
4812 ± 6
4336 ± 38
(1.11 ± 0.01)
4384 ± 35
(1.10 ± 0.01)
5740 ± 77
(0.84 ± 0.01)
II-5
9895 ± 6
8087 ± 61
(1.22 ± 0.01)
8316 ± 50
(1.19 ± 0.01)
10110 ± 113
(0.98 ± 0.01)
II-6
11556 ± 6
9633 ± 88
(1.20 ± 0.01)
10175 ± 68
(1.14 ± 0.01)
12096 ± 150
(0.96 ± 0.01)
Bracket means the C/E (calculation/experiment) value
Table 3.9 Comparison between ρ $ [$], β eff [pcm], and [× 10 −5 s] by the PNS method and
MCNP calculations (Ref. [10])
ρ $ [$]
β eff [pcm]
[× 10 −5 s]
Case
Fiber #2 (PNS)
MCNP6.1
MCNP6.1
Fiber #2 (PNS)
II-1
1.47 ± 0.01
785 ± 4
4.88 ± 0.01
5.93 ± 0.08
II-2
2.04 ± 0.01
785 ± 4
4.77 ± 0.01
5.28 ± 0.09
II-3
2.87 ± 0.01
783 ± 5
4.64 ± 0.01
4.80 ± 0.05
II-4
5.30 ± 0.02
788 ± 5
5.16 ± 0.01
5.11 ± 0.06
II-5
10.03 ± 0.03
816 ± 5
5.43 ± 0.01
5.53 ± 0.05
II-6
12.08 ± 0.03
806 ± 5
5.50 ± 0.01
5.46 ± 0.05