Sensitivity analysis of prompt neutron decay constant using perturbation theory

被引：16

作者：

Endo, Tomohiro ^{[1
]}

Yamamoto, Akio ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Engn, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648603, Japan

来源：

JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY | 2018年 / 55卷 / 11期

基金：

日本学术振兴会;

关键词：

omega-eigenvalue; sensitivity analysis; first-order perturbation theory; adjoint; uncertainty; covariance; RANDOM SAMPLING TECHNIQUE; UNCERTAINTY QUANTIFICATION; CROSS-SECTIONS; PARAMETERS;

D O I：

10.1080/00223131.2018.1491902

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

Experimental results of prompt neutron decay constant is useful information to validate numerical results of -eigenvalue for spatial and energetic fundamental mode. In order to accomplish the data assimilation technique using , it is desirable to establish an efficient numerical calculation method for sensitivity coefficient analysis of . For this purpose, the numerical calculation method using the first-order perturbation theory is investigated. A specific theoretical formula is derived to evaluate the sensitivity coefficient of to nuclear data. The derived rigorous formula utilizes forward and adjoint eigenfunctions which consist of neutron flux and delayed neutron precursor densities. Using the prompt approximation, the derived formula can be simplified without the term involving the delayed neutron precursor densities. By calculating using the multi-energy-group neutron transport code for an ICSBEP benchmark problem, the derived formula for sensitivity analysis using the perturbation theory is verified by comparing with the reference results using the direct method. Consequently, the efficient numerical procedures for uncertainty quantification of can be established by the aid of the sensitivity coefficients based on the perturbation theory.

引用

页码：1245 / 1254

页数：10

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