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

被引:0
|
作者
Zhang Y. [1 ]
Cheng Y. [2 ]
Zhou Q. [2 ]
Zhu Q. [2 ]
Xia Z. [2 ]
Ning T. [2 ]
Zhang Z. [2 ]
机构
[1] State Administration of Science, Technology and Industry for National Defence, Beijing
[2] Reactor Engineering Technology Research Institute, China Institute of Atomic Energy, Beijing
来源
Hedongli Gongcheng/Nuclear Power Engineering | 2024年 / 45卷 / 02期
关键词
Critical safety; Loosely-coupled system; Monte Carlo; Shannon entropy; Source convergence diagnose;
D O I
10.13832/j.jnpe.2024.02.0010
中图分类号
学科分类号
摘要
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. © 2024 Atomic Energy Press. All rights reserved.
引用
收藏
页码:10 / 18
页数:8
相关论文
共 8 条
  • [1] 1, (2006)
  • [2] NAITO Y, YANG J N., The sandwich method for determining source convergence in Monte Carlo calculation, Journal of Nuclear Science and Technology, 41, 5, pp. 559-568, (2004)
  • [3] UEKI T, BROWN F B., Stationarity modeling and informatics-based diagnostics in Monte Carlo criticality calculations, Nuclear Science and Engineering, 149, 1, pp. 38-50, (2005)
  • [4] WENNER M T, HAGHIGHAT A., A combined diagnostic approach for Monte Carlo source convergence identification, international conference on mathematics, International Conference on Advances in Mathematics, Computational Methods, and Reactor Physics, (2009)
  • [5] MCNP – A general Monte Carlo n-particle transport code, Version 5, LA-UR-03-1987, (2003)
  • [6] OMAR M R., Numerical evidence on the formulation of the Fourier fundamental mode coefficient as a source convergence indicator, Nuclear Engineering and Design, 378, (2021)
  • [7] OMAR M R, KARIM J A., Fission source stationarity diagnostics using the Fourier fundamental mode coefficient, Progress in Nuclear Energy, 146, (2022)
  • [8] BLOMQUIST R N, ARMISHAW M, HANLON D, Et al., Source convergence in criticality safety analyses, Phase I: results for four test problems, (2006)