Analytic solutions of point-reactor neutron kinetics equations with temperature feedback under the condition of negative inserted step reactivity

Li Hao-Feng; Chen Wen-Zhen; Zhang Fan; Shang Xue-Li

doi:10.7498/aps.59.2375

Abstract

The prompt and delayed supercritical process of a nuclear reactor with temperature feedback is taken into consideration. The solutions of the point-reactor neutron kinetics equations under the condition of temperature feedback and negative inserted step reactivity are investigated. Different analytic models are given. The new solution is also proposed and compared with those published in literature. It is found that (1) the model and related solution for prompt supercritical can not be applied for the process of large negative inserted step reactivity; (2) under the condition of the same initial power the precursor prompt jump approximation model is better than the neutron prompt jump approximation model; and (3) the temperature prompt jump approximation model is always better than the precursor and neutron prompt jump approximation models for any initial power and negative inserted step reactivity, which is so far the most accurate analytical model.

Keywords:

Authors and contacts

1.
海军工程大学核能科学与工程系,武汉 430033

References

[1]	［1］Chen W Z, Zhu B, Li H F 2004 Acta Phys. Sin. 53 2486 (in Chinese) ［陈文振、朱波、黎浩峰 2004 物理学报 53 2486］
[2]	［2］Cai Z S 2005 Nuclear Power Reactor Neutron Dynamics (Beijing: National Defense Industry Press) p114 (in Chinese) ［蔡章生 2005 核动力反应堆中子动力学 (北京: 国防工业出版社) 第114页］
[3]	［3］Chen W Z, Kuang B, Guo L F, Chen Z Y, Zhu B 2006 Nucl. Engng. Des. 236 1326
[4]	［4］Huang Z Q 2007 Kinetics Base of Nuclear Reactor (Beijing: Atomic Energy Press) p245 (in Chinese) ［黄祖洽 2007 核反应堆动力学基础 (北京: 原子能出版社) 第245页］
[5]	［5］Chen W Z, Guo L F, Zhu B, Li H F 2007 Prog. Nucl. Energ. 2 49 290
[6]	［6］Li H F, Chen W Z, Zhang F, Luo L 2007 Ann. Nucl. Energ. 2 34 521
[7]	［7］Zhang F, Chen W Z, Gui X W 2008 Ann. Nucl. Energ. 35 746

Cited By

[1]	［1］Chen W Z, Zhu B, Li H F 2004 Acta Phys. Sin. 53 2486 (in Chinese) ［陈文振、朱波、黎浩峰 2004 物理学报 53 2486］
[2]	［2］Cai Z S 2005 Nuclear Power Reactor Neutron Dynamics (Beijing: National Defense Industry Press) p114 (in Chinese) ［蔡章生 2005 核动力反应堆中子动力学 (北京: 国防工业出版社) 第114页］
[3]	［3］Chen W Z, Kuang B, Guo L F, Chen Z Y, Zhu B 2006 Nucl. Engng. Des. 236 1326
[4]	［4］Huang Z Q 2007 Kinetics Base of Nuclear Reactor (Beijing: Atomic Energy Press) p245 (in Chinese) ［黄祖洽 2007 核反应堆动力学基础 (北京: 原子能出版社) 第245页］
[5]	［5］Chen W Z, Guo L F, Zhu B, Li H F 2007 Prog. Nucl. Energ. 2 49 290
[6]	［6］Li H F, Chen W Z, Zhang F, Luo L 2007 Ann. Nucl. Energ. 2 34 521
[7]	［7］Zhang F, Chen W Z, Gui X W 2008 Ann. Nucl. Energ. 35 746

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Catalog

Vol. 59, Issue 4 - 2010-02-20

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