Analytical solution to solve the point reactor kinetics equations

被引:41
|
作者
Nahla, Abdallah A. [1 ]
机构
[1] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt
关键词
ANALYTICAL INVERSION METHOD; TEMPERATURE; FEEDBACK; MODEL;
D O I
10.1016/j.nucengdes.2010.03.003
中图分类号
TL [原子能技术]; O571 [原子核物理学];
学科分类号
0827 ; 082701 ;
摘要
New analytical solution for solving the point reactor kinetics equations with multi-group of delayed neutrons is presented. This solution is based on the roots of inhour equation, eigenvalues of the coefficient matrix. The inhour equation presents in new sample formula. The analytical solution represents the exact analytical solution for the point kinetics equations of multi-group of delayed neutrons with constant reactivity. Also, it represents the accurate solution for solving the point kinetics equations of multi-group of delayed neutrons with ramp and temperature feedback reactivities. This method are applied to different types of reactivity and compared to the traditional methods. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:1622 / 1629
页数:8
相关论文
共 50 条
  • [1] Analytical solution of the point reactor kinetics equations with temperature feedback
    Hamieh, S. D.
    Saidinezhad, M.
    ANNALS OF NUCLEAR ENERGY, 2012, 42 : 148 - 152
  • [2] 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
  • [3] On the numerical solution of the point reactor kinetics equations
    Suescun-Diaz, D.
    Espinosa-Paredes, G.
    NUCLEAR ENGINEERING AND TECHNOLOGY, 2020, 52 (06) : 1340 - 1346
  • [4] A new simplified analytical solution to solve the neutron point kinetics equations using the Laplace transform method
    Cruz-Lopez, Carlos-Antonio
    Espinosa-Paredes, Gilberto
    Francois, Juan-Luis
    COMPUTER PHYSICS COMMUNICATIONS, 2023, 283
  • [5] Solution of the nonlinear point nuclear reactor kinetics equations
    Nahla, Abdallah A.
    Zayed, Elsayed M. E.
    PROGRESS IN NUCLEAR ENERGY, 2010, 52 (08) : 743 - 746
  • [6] On the Taylor Series Solution of the Reactor Point Kinetics Equations
    Vrban, Branislav
    Dobronova, Miroslava
    Luley, Jakub
    Cerba, Stefan
    Osusky, Filip
    Necas, Vladimir
    APPLIED PHYSICS OF CONDENSED MATTER (APCOM 2021), 2021, 2411
  • [7] SOLUTION OF THE REACTOR POINT KINETICS EQUATIONS BY MATLAB COMPUTING
    Singh, Sudhansu S.
    Mohapatra, Dinakrushna
    NUCLEAR TECHNOLOGY & RADIATION PROTECTION, 2015, 30 (01): : 11 - 17
  • [8] An analytical solution for the point reactor kinetics equations with one group of delayed neutrons and the adiabatic feedback model
    Nahla, Abdallah A.
    PROGRESS IN NUCLEAR ENERGY, 2009, 51 (01) : 124 - 128
  • [9] TAYLOR SERIES METHODS FOR SOLUTION OF POINT REACTOR KINETICS EQUATIONS
    MITCHELL, B
    ANNALS OF NUCLEAR ENERGY, 1977, 4 (4-5) : 169 - 176
  • [10] Analytical solution of the point kinetics equations by exponential mode analysis
    Aboanber, AE
    PROGRESS IN NUCLEAR ENERGY, 2003, 42 (02) : 179 - 197