Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method

The singularly perturbed method (SPM) is proposed to obtain the analytical solution for the delayed supercritical process of nuclear reactor with temperature feedback and small step reactivity inserted. The relation between the reactivity and time is derived. Also, the neutron density (or power) and...

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Main Authors:	Wenzhen Chen, Jianli Hao, Ling Chen, Haofeng Li
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Science and Technology of Nuclear Installations
Online Access:	http://dx.doi.org/10.1155/2013/261327

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spelling	doaj-122030bfb5d74da18aa698b7b4578f472020-11-24T22:16:40ZengHindawi LimitedScience and Technology of Nuclear Installations1687-60751687-60832013-01-01201310.1155/2013/261327261327Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed MethodWenzhen Chen0Jianli Hao1Ling Chen2Haofeng Li3 Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Faculty 301, Wuhan 430033, China Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Faculty 301, Wuhan 430033, China Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Faculty 301, Wuhan 430033, China Department of Nuclear Energy Science and Engineering, Naval University of Engineering, Faculty 301, Wuhan 430033, ChinaThe singularly perturbed method (SPM) is proposed to obtain the analytical solution for the delayed supercritical process of nuclear reactor with temperature feedback and small step reactivity inserted. The relation between the reactivity and time is derived. Also, the neutron density (or power) and the average density of delayed neutron precursors as the function of reactivity are presented. The variations of neutron density (or power) and temperature with time are calculated and plotted and compared with those by accurate solution and other analytical methods. It is shown that the results by the SPM are valid and accurate in the large range and the SPM is simpler than those in the previous literature.http://dx.doi.org/10.1155/2013/261327
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wenzhen Chen Jianli Hao Ling Chen Haofeng Li
spellingShingle	Wenzhen Chen Jianli Hao Ling Chen Haofeng Li Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method Science and Technology of Nuclear Installations
author_facet	Wenzhen Chen Jianli Hao Ling Chen Haofeng Li
author_sort	Wenzhen Chen
title	Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method
title_short	Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method
title_full	Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method
title_fullStr	Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method
title_full_unstemmed	Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method
title_sort	solution of point reactor neutron kinetics equations with temperature feedback by singularly perturbed method
publisher	Hindawi Limited
series	Science and Technology of Nuclear Installations
issn	1687-6075 1687-6083
publishDate	2013-01-01
description	The singularly perturbed method (SPM) is proposed to obtain the analytical solution for the delayed supercritical process of nuclear reactor with temperature feedback and small step reactivity inserted. The relation between the reactivity and time is derived. Also, the neutron density (or power) and the average density of delayed neutron precursors as the function of reactivity are presented. The variations of neutron density (or power) and temperature with time are calculated and plotted and compared with those by accurate solution and other analytical methods. It is shown that the results by the SPM are valid and accurate in the large range and the SPM is simpler than those in the previous literature.
url	http://dx.doi.org/10.1155/2013/261327
work_keys_str_mv	AT wenzhenchen solutionofpointreactorneutronkineticsequationswithtemperaturefeedbackbysingularlyperturbedmethod AT jianlihao solutionofpointreactorneutronkineticsequationswithtemperaturefeedbackbysingularlyperturbedmethod AT lingchen solutionofpointreactorneutronkineticsequationswithtemperaturefeedbackbysingularlyperturbedmethod AT haofengli solutionofpointreactorneutronkineticsequationswithtemperaturefeedbackbysingularlyperturbedmethod
_version_	1725788458023124992

Solution of Point Reactor Neutron Kinetics Equations with Temperature Feedback by Singularly Perturbed Method

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