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反应堆组件参数计算程序中燃耗方程数值解法研究
引用本文:仇春华,张斌,马续波,沈峰,陈义学.反应堆组件参数计算程序中燃耗方程数值解法研究[J].原子能科学技术,2013,47(6):983-987.
作者姓名:仇春华  张斌  马续波  沈峰  陈义学
作者单位:1.国家核电技术有限公司 北京软件技术中心,北京100029;2.华北电力大学 核科学与工程学院,北京102206
基金项目:大型先进压水堆及高温气冷堆核电站重大专项资助项目
摘    要:本文介绍了组件参数计算程序中燃耗计算理论模型,给出了求解燃耗方程的两种数值方法,编制了相应的计算程序,并将其计算结果与解析解的计算结果进行了对比分析,验证了两种数值方法的有效性。对两种数值方法的计算效率进行了比较,结果表明:两种数值方法均能取得较高的计算精度,但在计算速度及对初始时间步长取值的限制方面,Rosenbrock方法明显优于龙格库塔方法。

关 键 词:组件参数计算程序    燃耗方程    数值解

Research on Numerical Solution of Burnup Equation in Reactor Lattice Spectrum Calculation Code
QIU Chun-hua,ZHANG Bin,MA Xu-bo,SHEN Feng,CHEN Yi-xue.Research on Numerical Solution of Burnup Equation in Reactor Lattice Spectrum Calculation Code[J].Atomic Energy Science and Technology,2013,47(6):983-987.
Authors:QIU Chun-hua  ZHANG Bin  MA Xu-bo  SHEN Feng  CHEN Yi-xue
Affiliation:1.State Nuclear Power Software Development Center, Beijing 100029, China;2.School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China
Abstract:A burnup calculation model of the lattice spectrum calculation code was introduced and two numerical solution methods for the burnup equation were given. The result of the code developed based on these two methods was compared with the result of analytical solution, and the effectiveness of these two numerical solution methods was verified. The efficiency of two numerical solution methods was also compared with each other. The Rosenbrock method shows greater advantages than the Runge-Kutta method on efficiency and precision.
Keywords:lattice spectrum calculation code  burnup equation  numerical solution
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