Burnup Credit Criticality Safety Case for AGR Spent Fuel Storage
James Ryan, Sellafield Ltd.
Albrecht Kyrieleis, Jacobs
Jennifer Bateman, Sellafield Ltd.
Dominic Winstanley, Sellafield Ltd.
21 September 2023
Introduction
AGR STOrage Programme (ASTOP) (1)
AGR STOrage Programme (ASTOP) (2)
AGR STOrage Programme (ASTOP) (3)
AGR STOrage Programme (ASTOP) (4)
Burn-Up Credit (1)
Burn-Up Credit (2)
Burn-Up Credit (3)
Burn-Up Credit (4)
Loading Curve (1)
Loading Curve (2) – Fuel Depletion
| g/te (all IE = 3.54 w/o U235/U) | ||
| 8,500 MWd/teU | 9,000 MWd/teU | 9,500 MWd/teU |
U235 | 26,320 | 25,830 | 25,330 |
U238 | 958,800 | 958,600 | 958,400 |
Pu239 | 1,954 | 2,031 | 2,108 |
Pu240* | 390 | 423 | 455 |
Pu241 | 98 | 107 | 117 |
Loading Curve (3) – Neutron Multiplication
Loading Curve (4) – Initial Estimate
Loading Curve (5) – Uncertainties
Uncertainties / Sensitivities (1)
Uncertainties / Sensitivities (2) – Physical Variations
Uncertainties / Sensitivities (3) – Axial flux variation
Uncertainties / Sensitivities (3) – Axial flux variation
Region | BU | U5 | U8 | Pu9 | Pu0 | Pu1 |
A | 6000 | 31,140 | 957,600 | 1,543 | 213 | 45 |
B | 7000 | 30,130 | 957,200 | 1,699 | 274 | 63 |
C | 8000 | 29,130 | 956,800 | 1.855 | 334 | 81 |
D | 9000 | 28,120 | 956,300 | 2,011 | 395 | 100 |
Uncertainties / Sensitivities (3) – Axial flux variation
Uncertainties / Sensitivities (4) – Radial flux variation
Uncertainties / Sensitivities (5) – Code uncertainties
Uncertainties / Sensitivities (6) – Depletion Code
Uncertainties / Sensitivities (6) – Depletion Code
| AGR |
|
Isotope | Average (Sample/Calculation) | Standard �Deviation |
Pu238 | 1.02 | 0.05 |
Pu239 | 1.03 | 0.01 |
Pu240 | 0.95 | 0.02 |
Pu241 | 0.98 | 0.03 |
Pu242 | 1.00 | 0.05 |
Total Pu | 1.08 | 0.05 |
| AGR |
|
Isotope | Average (C/E) | STDV |
U235 | 1.06 | 0.05 |
U238 | 1 | 0.001 |
Pu238 | 0.8 | 0.07 |
Pu239 | 1 | 0.02 |
Pu240 | 1.02 | 0.05 |
Pu241 | 1.08 | 0.13 |
Pu242 | 0.97 | 0.07 |
Total Pu | 1.01 | 0.06 |
| AGR |
|
Isotope | Average (C/E) | STDV |
U235 | 1.05 | 0.01 |
U238 | N/A | N/A |
Pu238 | N/A | N/A |
Pu239 | 0.99 | <0.01 |
Pu240 | 0.98 | <0.01 |
Pu241 | 1.16 | 0.01 |
Pu242 | N/A | N/A |
Total Pu | N/A | N/A |
Uncertainties / Sensitivities (6) – Depletion Code
| g/te | ||||||
| Reference Case �(3.0 w/o U235/U) | Original min irradiation �(3.54 wo @ 9,500 MWd/teU) | New min irradiation �(3.54 wo @ 10,500 MWd/teU) | Fissile content +11% | Fissile content +12% | Fissile content +16% | Fissile content +17% |
U235 | 30,000 | 25,330 | 24,390 | 27,073 | 27,317 | 28,292 | 28,536 |
U238 | 970,000 | 958,400 | 957,900 | 957,900 | 957,900 | 957,900 | 957,900 |
Pu239 | 0 | 2,108 | 2,227 | 2,472 | 2,494 | 2,583 | 2,606 |
Pu241 | 0 | 117 | 140 | 155 | 157 | 162 | 164 |
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K-eff �(normal operations) | 0.9106 | 0.9099 | N/A | 0.9094 | 0.9123 | N/A | N/A |
K-eff �(fault scenario �0.975 criterion) | 0.9632 | 0.9612 | N/A | N/A | N/A | 0.9736 | 0.976 |
I.E. �(w/o U235/U) | Irradiation �(MWd/teU) | Norm Ops �+% tolerable factor | Fault scenario �+% tolerable factor |
3.2 | 6,000 | 8% | 13% |
3.42 | 9,000 | 11% | 16% |
3.54 | 10,500 | 11% | 16% |
3.78 | 13,500 | 13% | 18% |
Initial enrichment band (w/o U235/U) | Adjusted minimum irradiation requirement (MWd/teU) |
3.001 – 3.200 | 6000 |
3.201 – 3.420 | 9000 |
3.421 – 3.540 | 10500 |
3.541 – 3.820 | 13500 |
Uncertainties / Sensitivities (7) – Spent Fuel Declared Data
Uncertainties / Sensitivities (7) – Spent Fuel Declared Data
Updated Operational Loading Curve
Initial enrichment band (w/o U235/U) | Operational minimum irradiation requirement (MWd/teU) |
3.001 – 3.200 | 7000 |
3.201 – 3.420 | 10000 |
3.421 – 3.540 | 12000 |
3.541 – 3.820 | 15000 |
Fuel Misload Analyses (1)
Fuel Misload Analyses (2)
Fuel Misload Analyses (2)
Fuel Misload Analyses (3)
| Number of 'rogue' cans | keff + 3stdv |
Normal Operations �(reference case loading - 3.0 w/o) | 0 | 0.9098 |
Normal Operations�(chronic misload - moderate underburned fuel @ 3.42 w/o) | 60 | 0.9375 |
Normal Operations�(catastrophic misload, rack filled with fresh fuel @ 3.78 w/o) | 60 | 0.9661 |
Fault Scenario - Channel Gap Closure �(Rogue fuel @ 3.78 w/o) | 9 | 0.9705 |
Fault Scenario - Fuel Breakup�(Rogue fuel @ 3.78 w/o) | 12 | 0.9652 |
Fuel Misload Analyses (4)
Cross-Checking (1)
Cross-Checking (2)
Cross-Checking (3)
| k-eff (stdv) | ||
| MONK + FISPIN | CSAS + FISPIN | CSAS + ORIGEN |
3.20 w/o & 4500 MWd/teU | 0.9034 (0.001) | 0.9039 (0.001) | 0.8961 (0.0017) |
3.42 w/o & 7500 MWd/teU | 0.9073 (0.001) | 0.9091 (0.001) | 0.8942 (0.0016) |
3.54 w/o & 9500 MWd/teU | 0.9070 (0.001) | 0.9080 (0.001) | 0.8859 (0.0016) |
3.78 w/o & 12500 MWd/teU | 0.9077 (0.001) | 0.9075 (0.001) | 0.8915 (0.0021) |
Cross-Checking (4)
Initial Enrichment (w/o U235/U) | Irradiation (MWd/teU) | Δkeff from Pu240 + Top 15 Fission Products |
3.541 – 3.820 | 15000 | 0.060 |
3.421 – 3.540 | 12000 | 0.050 |
3.201 – 3.420 | 10000 | 0.051 |
3.001 – 3.200 | 7000 | 0.034 |
Cross-Checking (5)
Reaction Covariance | Uncertainty Contribution (Δk/k) |
u-235_nubar:u-235_nubar | 2.85E-01 |
fe-56_n,gamma:fe-56_n,gamma | 2.74E-01 |
u-238_n,n':u-238_n,n' | 2.43E-01 |
u-238_n,gamma:u-238_n,gamma | 2.10E-01 |
h-1_n,gamma:h-1_n,gamma | 1.57E-01 |
u-235_chi:u-235_chi | 1.45E-01 |
u-235_n,gamma:u-235_n,gamma | 1.13E-01 |
u-235_fission:u-235_fission | 1.12E-01 |
u-238_n,n':u-238_elastic | -1.07E-01 |
u-235_fission:u-235_n,gamma | 1.00E-01 |
Cross-Checking (6)
Post-Irradiation Verification (1)
Post-Irradiation Verification (2)
Post-Irradiation Verification (3)
Regulatory Engagement & LFE (1)
Regulatory Engagement & LFE (2)
Regulator Engagement & LFE (3)
Regulator Engagement & LFE (4)
Regulator Engagement & LFE (5)
Regulator Engagement & LFE (6)
Summary/Conclusion