An accurate solution of point kinetics equations of one-group delayed neutrons and an extraneous neutron source for step reactivity insertion

查看全文 作　　者：LI HaoFeng SHANG XueLi CHEN [1]WenZhen

机构地区：[1]Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Wuhan 430033, China

出　　处：《Chinese Science Bulletin》索引2010年第55卷第36期,共4页

基　　金：supported by the National Natural Science Foundation of China (10575131) 摘　　要：The continuous indication of the neutron density and its rate of change are important for the safe startup and operation of reactors. The best way to achieve this is to obtain analytical solutions of the neutron kinetics equations because none of the developed numerical methods can well satisfy the need for real-time or even super-time computation for the safe startup and operation of reactors in practice. In this paper, an accurate analytical solution of point kinetics equations with one-group delayed neutrons and an extraneous neutron source is proposed to calculate the change in neutron density, where the whole process from the subcritical stage to critical and supercritical stages is considered for step reactivity insertions. The accurate analytical solution can also be used as a benchmark of all numerical methods employed to solve stiff neutron kinetics equations. 关键词：中子动力学方程缓发中子中子源 POINT 反应性精确解安全运行数值方法

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An accurate solution of point kinetics equations of one-group delayed neutrons and an extraneous neutron source for step reactivity insertion

参考文献(24)

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耦合文献(7)

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