基于广义微扰理论与CMFD加速的敏感性分析  

Generalized Perturbation-Theory-Based Sensitivity Analysis with CMFD Acceleration

作　　者：吴屈 彭星杰 于颖锐[1] 李庆[1] Wu Qu;Peng Xingjie;Yu Yingrui;Li Qing(Science and Technology on Reactor System Design Technology Laboratory,Nuclear Power Institute of China,Chengdu,610213,China)

机构地区：[1]中国核动力研究设计院核反应堆系统设计技术重点实验室,成都610213

出　　处：《核动力工程》2021年第3期229-233,共5页Nuclear Power Engineering

基　　金：国家自然科学基金(11905214)。

摘　　要：为实现反应堆物理设计程序KYLIN-Ⅱ的核数据广义敏感性分析功能,本研究采用广义微扰理论,依据响应形式构建具有正交定解条件的广义固定源方程,求解广义共轭通量从而计算得到核数据的广义敏感性系数。此外,提出通过采用粗网有限差分算法求解广义固定源方程,达到加速求解的目的。研究结果表明,使用的加速算法使得求解效率提高了约4.3倍,且计算得到的核数据敏感性系数与直接扰动法相比基本一致。因此,本研究建立的基于广义微扰理论与粗网有限差分加速算法能够用于核数据广义敏感性分析。To perform the generalized sensitivity analysis for nuclear data in a reactor physics design code,KYLIN-Ⅱ,the generalized perturbation theory is adopted and several generalized fix-source equations with the orthogonal definite condition need to be solved when the sensitivity coefficients are figured out.Besides,the paper develops a new approach,CMFD-based generalized fix-source equation solution,to accelerate the convergence.The convergence efficiency of the generalized fixed-source equation is improved by roughly 4.3 times,and the sensitivity coefficients calculated by the GPT accord with those calculated by the direct perturbation theory,which demonstrates the sensitivity analysis ability in KYLIN-Ⅱ.

关 键 词：敏感性分析 广义微扰理论 粗网有限差分 核数据 广义固定源方程 

分 类 号：TL329[核科学技术—核技术及应用]