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
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页码:1622 / 1629
页数:8
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