Stochastic point-kinetics equations in nuclear reactor dynamics

被引：61

作者：

Hayes, JG ^{[1
]}

Allen, EJ ^{[1
]}

机构：

[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

来源：

ANNALS OF NUCLEAR ENERGY | 2005年 / 32卷 / 06期

关键词：

D O I：

10.1016/j.anucene.2004.11.009

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：

A system of It (o) over cap stochastic differential equations is derived that model the dynamics of the neutron density and the delayed neutron precursors in a point nuclear reactor. The stochastic model is tested against Monte Carlo calculations and experimental data. The results demonstrate that the stochastic differential equation model accurately describes the random behavior of the neutron density and the precursor concentrations in a point reactor. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：572 / 587

页数：16

共 16 条

[1] Power series solution (PWS) of nuclear reactor dynamics with Newtonian temperature feedback [J].

Aboanber, AE ;

Hamada, YM .

ANNALS OF NUCLEAR ENERGY, 2003, 30 (10) :1111-1122

[2] PWS: an efficient code system for solving space-independent nuclear reactor dynamics [J].

Aboanber, AE ;

Hamada, YM .

ANNALS OF NUCLEAR ENERGY, 2002, 29 (18) :2159-2172

[3] Generalization of the analytical inversion method for the solution of the point kinetics equations [J].

Aboanber, AE ;

Nahla, AA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (14) :3245-3263

[4]

Allen EJ, 1999, DYN CONTIN DISCRET I, V5, P271

[5]

Allen L. J., 2010, An introduction to stochastic processes with applications to biology

[6] A RESOLUTION OF THE STIFFNESS PROBLEM OF REACTOR KINETICS [J].

CHAO, YA ;

ATTARD, A .

NUCLEAR SCIENCE AND ENGINEERING, 1985, 90 (01) :40-46

[7]

Gard T., 1987, INTRO STOCHASTIC DIF

[8] ASSEMBLY OF FISSIONABLE MATERIAL IN THE PRESENCE OF A WEAK NEUTRON SOURCE [J].

HANSEN, GE .

NUCLEAR SCIENCE AND ENGINEERING, 1960, 8 (06) :709-719

[9]

HAYES JG, 2005, THESIS TEXAS TU

[10]

Hetrick D.L., 1971, DYNAMICS NUCL REACTO

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