有效增殖因子对少群宏观截面参数的灵敏度分析

Analysis of Sensitivity of keff on the Few-Group of Macroscopic Cross Section Parameters

摘要: 本文基于微扰理论推到得到了热中子反应堆k_eff对少群宏观截面参数的灵敏度的计算公式，基于此开发了灵敏度计算程序PETMUS。此程序可耦合堆芯扩散程序以计算堆芯k_eff对不同宏观截面参数的灵敏度。本文采用直接拟合方法验证堆芯k_eff对两群宏观辐射俘获截面、中子产出截面、散射截面以及扩散系数的灵敏度。数值结果表明，本文研究的方法是正确的，可用于后期开展全堆芯物理计算不确定性分析。

Abstract: This paper derives sensitivity calculation formulas of thermal neutron reactor effective multiplication factor to the few-group macroscopic cross section, which is based on the perturbation theory, and develops the program PETMUS to calculate sensitivity. This program PETMUS couples the core diffusion program to calculate the sensitivity of k_eff to the few-group macroscopic cross section. We apply the method of direct perturbation to test and verify the sensitivity of Σ_a, vΣ_f, Σ_s and D. It shows that the research method is correct and that it can be used for the uncertainty analysis of the core physics calculation in the later period.