首页|松散耦合系统蒙特卡罗临界计算源收敛判定方法研究

松散耦合系统蒙特卡罗临界计算源收敛判定方法研究

Research on the Source Convergence Diagnose Method of Monte Carlo Critical Calculation for Loosely Coupled System

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为提高蒙特卡罗程序在松散耦合系统临界安全计算中的可靠性与准确性,需要对计算结果进行源收敛判定.本文提出了一种考虑裂变源分布及统计偏差权重因子的改进型香农熵的收敛判定方法,将裂变源迭代过程中相邻代际之间裂变源分布的相对偏差、源迭代过程中裂变源分布的蒙特卡罗统计标准差作为裂变源分布的权重,建立了改进型的香农熵收敛指标,弥补了传统香农熵对于局部裂变源收敛细节考虑的不足.将改进型的香农熵收敛指标应用在经合组织核能机构发布的乏燃料棒栅元和松散耦合铀溶液平板基准问题上.结果表明,对比传统香农熵源收敛判定指标,改进型的香农熵对裂变源迭代收敛过程更为敏感,能够更加直观和准确地判定裂变源分布伴随源迭代的收敛性.对于收敛速度慢的典型算例,应用传统香农熵判定收敛性时给出了伪收敛的结论,而改进型香农熵能准确地判定源迭代达到收敛时的迭代次数.
In order to improve the reliability and accuracy of Monte Carlo code in the critical safety calculation of loosely coupled systems,it is necessary to determine the source convergence of the results.In this paper,an improved Shannon entropy diagnose method considering the distribution of fission sources and the statistical deviation weight factor is proposed.The relative deviation of fission sources distribution between adjacent generations and the standard deviation of fission source distribution during source iteration are used as the weight of fission source distribution.Finally,an improved Shannon entropy convergence index is established,which makes up for the shortcomings of traditional Shannon entropy for lacking the details of local fission source.The improved Shannon entropy convergence index is applied to the benchmark problem:spent fuel rod and loosely coupled solution slabs published by OECD/NEA.The results show that compared with the traditional Shannon entropy index,the improved Shannon entropy is more sensitive to the iterative convergence process of fission source,and can more intuitively and accurately determine the convergence of fission source distribution accompanied by source iteration.For a typical case with slow convergence speed,the conclusion of pseudo-convergence is given with the traditional Shannon entropy.The improved Shannon entropy can accurately determine the number of iterations when the source iteration reaches convergence.

Critical safetyMonte CarloLoosely-coupled systemSource convergence diagnoseShannon entropy

张寅、成昱廷、周琦、朱庆福、夏兆东、宁通、张振洋

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国家国防科技工业局核技术支持中心,北京,100070

中国原子能科学研究院反应堆工程技术研究所,北京,102413

临界安全 蒙特卡罗 松散耦合系统 源收敛判定 香农熵

2024

核动力工程
中国核动力研究设计院

核动力工程

CSTPCD北大核心
影响因子:0.3
ISSN:0258-0926
年,卷(期):2024.45(2)