针对裂变产额和半衰期的燃耗计算灵敏度和不确定度分析方法  

Burnup Calculation Sensitivity and Uncertainty Analysis Method of Fission Yield and Decay Half-life

作　　者：韩丰林 祖铁军[1] 吴宏春[1] 曹良志[1] HAN Fenglin;ZU Tiejun;WU Hongchun;CAO Liangzhi(School of Nuclear Science and Technology,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西安交通大学核科学与技术学院,陕西西安710049

出　　处：《原子能科学技术》2020年第12期2323-2329,共7页Atomic Energy Science and Technology

基　　金：国家自然科学基金资助项目(11790323,11735011)。

摘　　要：基于广义微扰理论推导了裂变产额和半衰期的燃耗灵敏度系数理论模型,该模型考虑了原子核密度和中子通量的相互影响,并开发了燃耗计算中有效增殖因数和原子核密度等响应参数对核数据的灵敏度和不确定度分析程序。基于评价核数据中裂变产物独立产额的标准差数据,产生了针对压缩燃耗数据库的裂变产额协方差矩阵,以提高不确定度的计算精度。基于ENDF/B-Ⅶ.1数据库量化了UAM基准题TMI-1栅元无限增殖因数及重要裂变产物和重核的原子核密度由裂变产额和半衰期引入的不确定度。数值结果表明,对于栅元无限增殖因数,裂变产额和半衰期引入的不确定度很小;对于部分裂变产物的原子核密度,裂变产额和半衰期会引入较大的不确定度。The calculation model of sensitivity coefficient for decay half-life and fission product yield in burnup calculation was derived based on generalized perturbation theory,which considered the interaction between nuclear concentration and neutron flux.A code was developed to calculate sensitivity and uncertainty of effective neutron multiplication factors and nuclide concentration caused by nuclear data.Covariance matrix of fission yield for a simplified burnup library was generated based on standard deviation data of independent fission yield in evaluated nuclear data library to improve the accuracy of uncertainty quantification.Uncertainties induced by decay half-life and fission yield on infinite neutron multiplication factors and nuclide concentration for TMI-1 pin-cell in the UAM burnup benchmark were quantified based on ENDF/B-Ⅶ.1.The numerical results show that the uncertainty of infinite neutron multiplication factors induced by decay half-lives and fission yields is low,while the uncertainty of concentration of some fission product nuclide is high.

关 键 词：燃耗计算 微扰理论 灵敏度 不确定度 

分 类 号：TL329[核科学技术—核技术及应用]