An analytical solution for the point reactor kinetics equations with one group of delayed neutrons and the adiabatic feedback model

被引：26

作者：

Nahla, Abdallah A. ^{[1
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt

来源：

PROGRESS IN NUCLEAR ENERGY | 2009年 / 51卷 / 01期

关键词：

Point reactor kinetics; One group of delayed neutrons; Adiabatic feedback; The prompt neutrons generation time; Prompt critical; TEMPERATURE; DYNAMICS;

D O I：

10.1016/j.pnucene.2008.01.008

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：

The point reactor kinetics equations with one group of delayed neutrons and the adiabatic feedback model are solved analytically. The analytical solution is based on an expansion of the neutrons density in powers of the small parameter, the prompt neutrons generation time, into the second order differential equation in the neutron density. The relation between the time and the reactivity for reactor excursions near prompt critical is derived. Also, the neutron density and the average density of delayed neutron precursors as functions of reactivity are presented. The relations of reactivity, neutron density and temperature with time are calculated, drawn. and compared with other analytic method. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：124 / 128

页数：5

共 50 条

[21] Concerning the neutron level and the neutron RMS value in a linear feedback model of point reactor kinetics with one group of delayed neutrons and driven by random reactivity noise: Application of the Runge-Kutta method to solve a system of stochastic ordinary differential equations
Behringer, K
ANNALS OF NUCLEAR ENERGY, 1998, 25 (11) : 801 - 820
[22] On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method
Kyncl, Jan
Applications of Mathematics, 1994, 39 (04)
[23] Analysis of Fractional-order Point Reactor Kinetics Model with Adiabatic Temperature Feedback for Nuclear Reactor with Subdiffusive Neutron Transport
Vyawahare, Vishwesh A.
Nataraj, P. S. V.
SIMULATION AND MODELING METHODOLOGIES, TECHNOLOGIES AND APPLICATIONS, SIMULTECH 2014, 2015, 402 : 153 - 172
[24] Solution of non-linear neutron point kinetics equations with feedback reactivity in nuclear reactor dynamics
Patra, A.
Ray, S. Saha
International Journal of Nuclear Energy Science and Technology, 2015, 9 (01) : 23 - 34
[25] Stochastic model for the nonlinear point reactor kinetics equations in the presence Newtonian temperature feedback effects
Nahla, Abdallah A.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (06) : 1003 - 1016
[26] TAYLOR SERIES METHODS FOR SOLUTION OF POINT REACTOR KINETICS EQUATIONS
MITCHELL, B
ANNALS OF NUCLEAR ENERGY, 1977, 4 (4-5) : 169 - 176
[27] Analytical solution of the Telegraph Point Reactor Kinetics model during the cold start-up of a nuclear reactor
Altahhan, Muhammad Ramzy
Aboanber, Ahmed E.
Abou-Gabal, Hanaa H.
ANNALS OF NUCLEAR ENERGY, 2017, 109 : 574 - 582
[28] One-group analytical solution to two-region reactor kinetic model
Holschuh, Thomas V.
Marcum, Wade R.
Palmer, Todd S.
ANNALS OF NUCLEAR ENERGY, 2017, 99 : 199 - 205
[29] Analytical solution of the point kinetics equations by exponential mode analysis
Aboanber, AE
PROGRESS IN NUCLEAR ENERGY, 2003, 42 (02) : 179 - 197
[30] Generalization of the analytical inversion method for the solution of the point kinetics equations
Aboanber, AE
Nahla, AA
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (14): : 3245 - 3263

← 1 2 3 4 5 →