Quantification of calculated effective multiplication factor uncertainty caused by nuclear data in research reactor
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摘要: 为了深入研究核数据不确定度对JRR-3M研究堆有效增殖因子计算的影响，建立了一套基于蒙特卡罗法的核数据不确定度量化流程。具体方法为：使用核数据扰动软件SANDY扰动目标核素的重要反应道生成扰动文件，再通过核数据加工软件NJOY对扰动文件进行处理，最终利用核反应堆物理模拟软件OpenMC进行蒙特卡罗模拟。针对JRR-3M研究堆的控制棒全插、反应堆临界、控制棒全拔三种运行工况，对多个关键核素（如235U、238U、Hf等）的核数据不确定度给有效增殖因子计算带来的影响进行了详细分析。研究结果表明，177Hf、235U、1H、27Al的核数据不确定度对JRR-3M有效增殖因子具有显著影响。临界、控制棒全插和控制棒全提这3种工况下，核数据不确定引起的有效增殖因子总不确定度分别为660.8×10−5、588.5×10−5、708.4×10−5。在各个工况下，235U的次级粒子能量分布的影响都是最大的。研究发现，对以铪为主要组成材料的控制棒内，只有177Hf的核数据不确定度起主要影响。Abstract: To delve into the impact of nuclear data uncertainty on the effective multiplication factor calculation for the JRR-3M research reactor, this study established a nuclear data uncertainty quantification process based on SANDY. The specific methodology involved perturbing important reaction pathways of the target nuclides with SANDY to generate perturbation files, processing these files with NJOY, and ultimately utilizing OpenMC for Monte Carlo simulations. The influence on the effective multiplication factor due to several key nuclides (such as 235U, 238U, Hf, etc.) data uncertainty was calculated and analysed for three operational conditions of the JRR-3M research reactor. For critical, control rods fully inserted and control rods fully withdrawn conditions, total effective multiplication factor uncertainties are 660.8×10−5, 588.5×10−5 and 708.4×10−5, respectively. In all operational conditions, the impact of the fission release neutron energy distribution of 235U is the most notable. The study reveals that within hafnium control rods only the nuclear data uncertainty of 177Hf plays a major role.
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图 4 三种工况下的堆芯示意图
Figure 4. Core cross-sections under three operating conditions of control rods
图 6 TENDL-2021库中铪的吸收截面对比
Figure 6. Comparison of absorption cross-sections of hafnium in TENDL-2021 library
表 1 钠的单群弹性散射截面扰动结果对比
Table 1. Comparison of disturbance results of single group elastic scattering cross section of sodium
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表 2 JRR-3M三种工况下各核素对keff的不确定度贡献
Table 2. Contribution of uncertainty of each nuclide under three working conditions
working condition keff uncertainty caused by
fuel nuclides/10−5uncertainty caused by
coolant and moderator/10−5uncertainty caused by
control rod material/10−5total/10−5 27Al 238U 235U total 1H 2H 16O 9Be total 174Hf 176Hf 177Hf 178Hf 179Hf 180Hf total critical condition 1.00457 ±0.00008 309.5 67.6 417.0 523.7 346.6 41.6 107.1 59.9 370.0 15.0 15.1 154.7 15.4 22.9 17.3 156.5 660.8 control rod
fully inserted1.00457 ±0.00008 247.5 57.5 309.8 400.7 250.0 46.1 96.4 60.2 278.5 13.9 17.3 324.7 17.6 40.1 20.9 329.1 588.5 control rod
fully withdrawn1.00457 ±0.00008 366.7 83.2 454.5 589.9 367.4 44.3 100.4 75.0 390.7 13.2 13.8 13.8 13.5 14.0 14.3 33.7 708.4
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表 3 各工况下各反应道的不确定度量化结果
Table 3. Quantitative results of uncertainty for each reaction channel under different operating conditions
(10−5) nuclide reaction channel critical condition control rod fully inserted control rod fully withdrawn 235U capture 181.5 154.4 237.0 fission 115.9 99.5 132.4 inelastic scattering 8.3 7.2 8.9 elastic scattering 8.9 8.7 8.2 prompt multiplicity 131.6 116.8 163.9 energy distribution 331.8 220.1 325.4 238U capture 51.9 46.2 68.8 fission 8.3 7.8 8.2 inelastic scattering 36.9 27.1 39.7 elastic scattering 17.0 15.0 20.0 prompt multiplicity 10.1 9.6 9.4 energy distribution 7.8 8.0 8.0 27Al capture 168.3 143.6 219.0 elastic scattering 130.9 98.3 127.1 inelastic scattering 224.3 176.0 265.3 9Be elastic scattering 42.5 42.8 52.8 inelastic scattering 42.2 42.3 53.2 16O elastic scattering 106.7 96.1 100.0 capture 8.8 7.6 8.8 1H elastic scattering 188.2 136.6 184.3 capture 291.1 209.4 317.8 2H elastic scattering 40.6 45.2 43.6 capture 9.2 9.0 7.9 174Hf capture 8.8 8.3 7.6 elastic scattering 8.2 7.5 7.7 inelastic scattering 8.9 8.2 7.6 176Hf capture 9.5 13.3 8.0 elastic scattering 8.4 7.8 8.0 inelastic scattering 8.2 7.8 7.8 177Hf capture 154.0 323.9 8.3 elastic scattering 12.1 21.6 7.7 inelastic scattering 8.4 7.7 7.9 178Hf capture 9.2 13.4 7.6 elastic scattering 8.9 8.1 8.0 inelastic scattering 8.6 8.0 7.8 179Hf capture 19.6 38.3 8.3 elastic scattering 8.4 9.2 8.0 inelastic scattering 8.3 7.4 7.9 180Hf capture 12.3 17.0 8.3 elastic scattering 8.9 8.8 8.4 inelastic scattering 8.3 8.4 8.1
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