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research-article

A Comparative Study of 10 Different Methods on Numerical Solving of Point Reactor Neutron Kinetics Equations

[+] Author and Article Information
Yi-Ning Zhang

School of Energy Science and Engineering, Harbin Institute of Technology, Dongli Building #546, Harbin Institute of Technology, Harbin, China
zhangmdc@163.com

Hao-Chun Zhang

ASME Membership, School of Energy Science and Engineering, Harbin Institute of Technology, Dongli Building #546, Harbin Institute of Technology, Harbin, China
zhc5@vip.163.com

Ke-Xin Wang

School of Energy Science and Engineering, Harbin Institute of Technology, Dongli Building #546, Harbin Institute of Technology, Harbin, China
13039968005@163.com

1Corresponding author.

ASME doi:10.1115/1.4038772 History: Received August 30, 2017; Revised November 28, 2017

Abstract

Point reactor neutron kinetics equations describe the time dependent neutron density variation in a nuclear reactor core. These equations are widely applied to nuclear system numerical simulation and nuclear power plant operational control. This paper analyses the characteristics of 10 different basic or normal methods to solve the point reactor neutron kinetics equations. The accuracy after introducing different kinds of reactivity, stiffness of methods and computational efficiency are analyzed. The calculation results show that: considering both the accuracy and stiffness, implicit Runge-Kutta method and Hermite method are more suitable for solution on these given conditions. The explicit Euler method is the fastest, while the power series method spends the most computational time.

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