Verification of PCM Nuclear Design Code for Whole Core Calculations
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摘要: PCM软件包是中广核研究院有限公司自主研发的核设计软件包，包含组件截面计算软件PINE和三维堆芯核设计软件COCO。为了验证PCM软件包的全堆芯计算能力及其准确性，本文基于自制全堆芯例题以及国际通用的BIBLIS、IAEA、LRA等全堆芯基准题对PCM软件包“组件-堆芯”两步法和COCO软件的堆芯计算功能进行了验证。在轻水堆堆芯基准题的计算中，所有算例的有效增殖系数keff平均偏差为6.4pcm（1pcm=10−5），最大偏差仅为28.2pcm，且所有算例中堆芯燃料组件归一化功率分布偏差的绝对值不超过1%。验证结果表明PCM软件包的全堆芯计算功能有较高计算精度，整体计算精度能够满足工程需求。Abstract: PCM software package, independently developed by China Nuclear Power Technology Research Institute Co. Ltd., is a nuclear design code consisting of assembly section calculation code PINE and 3D core design code COCO. To validate the whole core calculation capability and accuracy of the PCM nuclear design code, this study conducted verification using internationally recognized benchmark problems such as BIBLIS, IAEA, and LRA, as well as a self-made whole-core problem for the COCO code and the “assembly-core” two-step method within the PCM nuclear design code. The verification results indicated that in the calculations of the light-water reactor core benchmark problems, the average error of the effective multiplication factor (keff) for all cases was 6.4pcm, with a maximum error of only 28.2pcm. In all the cases, the deviation of the normalized power distribution of the core fuel assemblies did not exceed 1%. The verification results show that the whole core calculation function of the PCM nuclear design code exhibits high computational accuracy, and the overall calculation accuracy can meet the engineering requirements.
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Key words:
- Core nuclear design /
- Core benchmark /
- PCM software package
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图 3 二维BIBLIS基准题结果对比
Figure 3. Comparison of Results for the Two-Dimensional BIBLIS Benchmark
图 4 二维IAEA基准题结果对比
Figure 4. Comparison of Results for the Two-Dimensional IAEA Benchmark
图 5 三维IAEA扩散基准题结果对比
Figure 5. Comparison of Results for the Three-Dimensional IAEA Benchmark
图 6 二维LRA基准题结果对比
Figure 6. Comparison of Results for the Two-Dimensional LRA Benchmark
图 7 三维LRA基准题结果对比
Figure 7. Comparison of Results for the Three-Dimensional LRA Benchmark
表 1 二维BIBLIS基准题国内外软件计算结果对比
Table 1. Comparison of Domestic and International Software for 2D BIBLIS Benchmark Problems
软件 keff Δkeff/pcm ∣Emax∣/% 文献[8]参考值 1.025110 0 0 SKETCH-N(P) 1.025210 9.8 1.20 SKETCH-N(S) 1.025260 14.6 1.80 SKETCH-N(A) 1.025320 20.5 2.20 QUANDRY 1.025300 18.5 1.91 NEMD 1.025300 18.5 2.00 NODAN 1.025310 19.5 2.10 NLNEM 1.025220 10.7 1.23 NGFM 1.025260 14.6 1.69 NLSANM 1.025260 14.6 1.85 COCO 1.025108 −0.2 0.19 
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表 2 二维IAEA基准题国内外软件对比
Table 2. Comparison of Domestic and International Software for 2D IAEA Benchmark Problems
软件 keff Δkeff/pcm ∣Emax∣/% 文献[8]参考值 1.029585 0 0 SKETCH-N(P) 1.029500 −8.3 1.80 SKETCH-N(S) 1.029560 −2.4 0.50 SKETCH-N(A) 1.029620 3.4 1.10 QUANDRY 1.029620 3.4 0.94 NEMD 1.029610 2.4 0.88 NODAN 1.029660 7.3 0.90 TRAC/NEM 1.029500 −8.3 2.05 NLNEM 1.029570 −1.5 1.80 NGFM 1.029600 1.5 0.72 NLSANM 1.029620 3.4 0.59 COCO 1.029610 2.4 0.32
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表 3 三维IAEA基准题国内外软件对比
Table 3. Comparison of Domestic and International Software for 3D IAEA Benchmark Problems
软件 keff Δkeff/pcm ∣Emax∣/% 文献[8]参考值 1.029030 0 0 SKETCH-N(P) 1.028990 −3.9 1.80 SKETCH-N(S) 1.029050 1.9 0.40 SKETCH-N(A) 1.029120 8.7 1.10 QUANDRY 1.029020 −1.0 0.69 NEMD 1.029150 11.7 1.60 NODAN 1.029160 12.6 1.70 TRAC/NEM 1.029000 −2.9 1.62 NLNEM 1.029070 3.9 1.29 NGFM 1.029090 5.8 0.67 NLSANM 1.029120 8.7 0.89 COCO 1.029092 6.0 0.70
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表 4 二维LRA基准题国内外软件对比
Table 4. Comparison of Domestic and International Software for 2D LRA Benchmark Problems
软件 keff Δkeff/pcm ∣Emax∣/% 文献[8]参考值 0.996368 0 0 SKETCH-N(P) 0.996260 −10.8 1.90 SKETCH-N(S) 0.996350 −1.8 0.50 SKETCH-N(A) 0.996410 4.2 0.20 QUANDRY 0.996410 4.2 0.19 NEMD 0.996390 2.2 0.31 NODAN 0.996410 4.2 0.21 TRAC/NEM 0.996290 −7.8 2.78 NLNEM 0.996260 −10.8 1.85 NGFM 0.996350 −1.8 0.54 NLSANM 0.996350 −1.8 0.54 COCO 0.996375 0.7 0.23
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表 5 三维LRA基准题国内外软件对比
Table 5. Comparison of Domestic and International Software for 3D LRA Benchmark Problems
软件 keff Δkeff/pcm ∣Emax∣/% 文献[8]参考值 1.015490 0 0 QUANDRY 1.015590 9.8 0.19 TRAC/NEM 1.015200 28.6 2.78 NLSANM 1.015460 −3.0 0.54 COCO 1.015496 0.6 0.09
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表 6 自制堆芯算例反射层参数
Table 6. Self-made Core Benchmark Reactor Reflector Parameters
材料 能群 扩散系数Dg/cm 宏观吸收截面Σag/cm−1 中子产生截面νΣfg/cm−1 转移截面Σs,1-2/cm−1 反射层 1 1.068550 0.003465 0 0.020244 2 0.278094 0.062163 0
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