Criticality calculations in a nuclear reactor by using the Lyapunov exponent method

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• 作者：M. Shayesteh^a ; S. Behnia^b ; ^{s.behnia@sci.uut.ac.ir} ; A. Abdi Saray^a
• 关键词：Enrichment ; Multiplication factor ; Criticality calculation ; Coupled map lattice ; Lyapunov exponent ; Monte Carlo method
• 刊名：Annals of Nuclear Energy
• 出版年：2012
• 期刊代码：1_03064549
• 类别：pw
• 出版时间：May, 2012
• 卷：43
• 期：Complete
• 页码：131-135
• 文件大小：606 K

摘要

This paper studies the stability of the slab reactor with respect to the enrichment. For this purpose, the coupled map lattice theory is applied to the multi-group diffusion equations. Applying mean Lyapunov exponent theory introduced by Shibata [H. Shibata, Physica A 264 (1999) 226] on the model shows that, two successive phases: subcritical and supercritical. In order to compare the performance of the selected method by using the MCNP and ANISN codes the obtained results controlled. The model, in spite of its simplicity in form, shows a greater efficiency in prediction of critical enrichment.