基于共轭通量的蒙特卡罗临界硼浓度搜索方法

毕璇璇; 孙光耀; 郝丽娟; 宋婧; 胡丽琴

doi:10.11889/j.0253-3219.2018.hjs.41.070604

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基于共轭通量的蒙特卡罗临界硼浓度搜索方法

核能科学与工程 | 更新时间：2021-05-19

- 基于共轭通量的蒙特卡罗临界硼浓度搜索方法
- Monte Carlo critical boron concentration search method based on adjoint flux
- 核技术 2018年41卷第7期文章编号：070604
- 作者机构：
  
  1.中国科学院核能安全技术研究所中子输运理论与辐射安全重点实验室合肥 230031
  2.中国科学技术大学合肥 230026
- 作者简介：
  
  [ "毕璇璇, 男, 1992年出生, 2015年毕业于中国石油大学(华东), 现为硕士研究生, 从事中子输运理论相关研究", "BI Xuanxuan, male, born in 1992, graduated from China University of Petroleum in 2015, master student, focusing on neutron transport theory" ]
  宋婧, E-mail:jing.song@fds.org.cn SONG Jing, E-mail: jing.song@fds.org.cn
- 基金信息：
  
  中国科学院合肥物质科学研究院院长基金(YZJJ201618);国家自然科学基金(11605233);国家磁约束核聚变能发展研究专项(2014GB112000)
- DOI：10.11889/j.0253-3219.2018.hjs.41.070604
  中图分类号： TL99
- 收稿日期：2017-09-30，
  
  修回日期：2018-03-23，
  
  纸质出版日期：2018-07-10
- 稿件说明：
移动端阅览
毕璇璇, 孙光耀, 郝丽娟, 等. 基于共轭通量的蒙特卡罗临界硼浓度搜索方法[J]. 核技术, 2018,41(7):070604

Xuanxuan BI, Guangyao SUN, Lijuan HAO, et al. Monte Carlo critical boron concentration search method based on adjoint flux[J]. Nuclear techniques, 2018, 41(7): 070604
毕璇璇, 孙光耀, 郝丽娟, 等. 基于共轭通量的蒙特卡罗临界硼浓度搜索方法[J]. 核技术, 2018,41(7):070604 DOI： 10.11889/j.0253-3219.2018.hjs.41.070604.

Xuanxuan BI, Guangyao SUN, Lijuan HAO, et al. Monte Carlo critical boron concentration search method based on adjoint flux[J]. Nuclear techniques, 2018, 41(7): 070604 DOI： 10.11889/j.0253-3219.2018.hjs.41.070604.

摘要

临界硼浓度搜索是反应堆设计和物理分析的重要组成部分。本文针对传统搜索方法需要多次临界计算、效率低的问题，发展了一种基于共轭通量的蒙特卡罗临界硼浓度搜索方法。该方法将临界硼浓度搜索视为微扰问题，采用共轭通量法进行微扰计算，并在蒙特卡罗模拟中使用反复裂变几率法计算共轭通量，只需对系统进行一次临界计算，就可以得到系统初始的共轭通量以及有效增殖因子对硼浓度变化的响应系数，使用该响应系数可直接计算得到系统临界硼浓度。西屋公司标准17×17组件模型的数值验证结果表明：本文方法可以有效应用于临界硼浓度搜索。

Abstract

Background

Critical boron concentration search is considered as an important part of reactor design and analysis

but traditional search method requires multiple criticality calculations

hence low efficiency.

Purpose

In order to overcome the disadvantages of the traditional search method

a highly efficient Monte Carlo critical boron concentration search method is developed and verified.

Methods

First of all

the critical boron concentration search is treated as a perturbation problem. Then the adjoint flux method is adopted for perturbation calculation whilst the adjoint flux is calculated by the iterated fission probability method in the Monte Carlo simulation. The adjoint flux and the effective multiplication factor on the boron concentration response coefficients of the initial state can be obtained by only one criticality calculation

and the critical boron concentration is directly derived from the response coefficients. Finally verification is made on the standard Westinghouse 17×17 assembly model.

Results

The numerical results of verification show a good agreement with reference results.

Conclusion

This method can be effectively applied to critical boron concentration search.

关键词

Keywords

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