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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Science and Technology of Nuclear Installations |
| Online Access: | http://dx.doi.org/10.1155/2013/261327 |
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| _version_ | 1832560995758768128 |
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| author | Wenzhen Chen Jianli Hao Ling Chen Haofeng Li |
| author_facet | Wenzhen Chen Jianli Hao Ling Chen Haofeng Li |
| author_sort | Wenzhen Chen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-122030bfb5d74da18aa698b7b4578f47 |
| institution | Kabale University |
| issn | 1687-6075 1687-6083 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Science and Technology of Nuclear Installations |
| spelling | doaj-art-122030bfb5d74da18aa698b7b4578f472025-02-03T01:26:07ZengWileyScience 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/261327 |
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