Numerical solution for stochastic point-kinetics equations with sinusoidal reactivity in dynamical system of nuclear reactor

被引：1

作者：

Ray, S. Saha ^{[1
]}

Patra, A. ^{[1
]}

机构：

[1] Department of Mathematics, National Institute of Technology, Rourkela-769008, India

来源：

International Journal of Nuclear Energy Science and Technology | 2013年 / 7卷 / 03期

关键词：

Approximation methods - Delayed Neutron Precursor - Euler-Maruyama method - Neutron density - Point kinetic equations;

D O I：

10.1504/IJNEST.2013.052165

中图分类号：

学科分类号：

摘要：

In this present analysis, the numerical simulation methods are applied to calculate the solution for stochastic point-kinetic equations with sinusoidal reactivity in dynamical system of nuclear reactor. The resulting system of differential equations is solved for each time step-size. Using experimental data, the methods are investigated over initial conditions and with sinusoidal reactivity. The computational results designate that these numerical approximation methods are straightforward, effective and easy for solving stochastic point-kinetic equations. Copyright © 2013 Inderscience Enterprises Ltd.

引用

页码：231 / 242

共 50 条

[31] Physics-Informed Neural Network Solution of Point Kinetics Equations for a Nuclear Reactor Digital Twin
Prantikos, Konstantinos
Tsoukalas, Lefteri H.
Heifetz, Alexander
ENERGIES, 2022, 15 (20)
[32] A REFINED WAY OF SOLVING REACTOR POINT KINETICS EQUATIONS FOR IMPOSED REACTIVITY INSERTIONS
Ganapol, Barry D.
NUCLEAR TECHNOLOGY & RADIATION PROTECTION, 2009, 24 (03): : 157 - 166
[33] The effect of pulse reactivity for stochastic neutron point kinetic equation in nuclear reactor dynamics
Ray, S.S. (santanusaharay@yahoo.com), 1600, Inderscience Enterprises Ltd., 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland (08):
[34] A numerical solution to the nonlinear point kinetics equations using Magnus expansion
Cai, Yun
Peng, Xingjie
Li, Qing
Wang, Kan
ANNALS OF NUCLEAR ENERGY, 2016, 89 : 84 - 89
[35] Comparison of the error-integral performance indexes in a GA-tuned PID controlling system of a PWR-type nuclear reactor point-kinetics model
Mousakazemi, Seyed Mohammad Hossein
PROGRESS IN NUCLEAR ENERGY, 2021, 132
[36] Analytical representation of the solution of the point reactor kinetics equations with adaptive time step
Bogado Leite, Sergio Q.
Palma, Daniel A. P.
de Vilhena, Marco Tullio
Bodmann, Bardo E. J.
PROGRESS IN NUCLEAR ENERGY, 2014, 70 : 112 - 118
[37] Solution of the fractional neutron point kinetics equations considering time derivative of the reactivity
Hamada, Yasser Mohamed
PROGRESS IN NUCLEAR ENERGY, 2017, 98 : 153 - 166
[38] Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics
Ahmed E. Aboanber
Abdallah A. Nahla
Adel M. Edress
Nuclear Science and Techniques, 2018, 29
[39] Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics
Ahmed E.Aboanber
Abdallah A.Nahla
Adel M.Edress
NuclearScienceandTechniques, 2018, 29 (09) : 106 - 122
[40] Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics
Aboanber, Ahmed E.
Nahla, Abdallah A.
Edress, Adel M.
NUCLEAR SCIENCE AND TECHNIQUES, 2018, 29 (09)

← 1 2 3 4 5 →