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 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 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

[1]	Li Xing-Xin, Li Si-Ping. Manipulations on mechanical properties of multilayer folded graphene by annealing temperature: a molecular dynamics simulation study. Acta Physica Sinica, 2020, 69(19): 196102. doi: 10.7498/aps.69.20200836
[2]	Yuan Fang-Yuan, Zhu Zi-Liang. State-to-state dynamics of D + DBr reaction. Acta Physica Sinica, 2020, 69(11): 113401. doi: 10.7498/aps.69.20200321
[3]	Chen Xi, Zhao Ling-Juan, Chen Jian-Jun, Wang Hui-Ping, Wu Zheng-Mao, Lu Dan, Xia Guang-Qiong. Experimental investigations on the dynamical characteristics of pulse packages in a monolithically integrated amplified feedback laser. Acta Physica Sinica, 2016, 65(21): 214209. doi: 10.7498/aps.65.214209
[4]	Wen Shao-Fang, Shen Yong-Jun, Yang Shao-Pu. Dynamical analysis of Duffing oscillator with fractional-order feedback with time delay. Acta Physica Sinica, 2016, 65(9): 094502. doi: 10.7498/aps.65.094502
[5]	Li Ming-Lin, Wan Ya-Ling, Hu Jian-Yue, Wang Wei-Dong. Molecular dynamics simulation of effects of temperature and chirality on the mechanical properties of single-layer molybdenum disulfide. Acta Physica Sinica, 2016, 65(17): 176201. doi: 10.7498/aps.65.176201
[6]	Li Ming-Rui, Li Hao-Feng, Chen Wen-Zhen, Hao Jian-Li. Curvature weight method of solving the point reactor neutron kinetic equations. Acta Physica Sinica, 2015, 64(22): 220201. doi: 10.7498/aps.64.220201
[7]	Chen Guo-Yun, Xin Yong, Huang Fu-Cheng, Wei Zhi-Yong, Lei Sheng-Jie, Huang San-Bo, Zhu Li, Zhao Jing-Wu, Ma Jia-Yi. Performances of a boron-lined ionization chamber used in neutron/-ray mixed field of reactors. Acta Physica Sinica, 2012, 61(8): 082901. doi: 10.7498/aps.61.082901
[8]	Liu Hua-Min, Fan Yong-Sheng, Tian Shi-Hai, Zhou Wei, Chen Xu. Molecular dynamics simulation for the effect of hydrogen on the water of pressurized water reactors. Acta Physica Sinica, 2012, 61(6): 062801. doi: 10.7498/aps.61.062801
[9]	Zhu Qian, Shang Xue-Li, Chen Wen-Zhen. Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons. Acta Physica Sinica, 2012, 61(7): 070201. doi: 10.7498/aps.61.070201
[10]	Shi Shun-Ping, Li Yong, Fan Yong-Sheng, Chen Xu, Zhou Wei. Molecular dynamics simulation for the impact of hydrazineon the water of pressurized water reactors. Acta Physica Sinica, 2011, 60(3): 032802. doi: 10.7498/aps.60.032802
[11]	Kong Hao, Liu Xin-Guo, Xu Wen-Wu, Liang Jing-Juan, Zhang Qing-Gang. Stereodynamics study of the reactions of He+H+2 and its isotopic variants. Acta Physica Sinica, 2009, 58(10): 6926-6931. doi: 10.7498/aps.58.6926
[12]	Feng Xing, Zhu Zheng-He, Liu Xiao-Ya, Yang Xiang-Dong, Huang Wei. Theoretical study on molecular reaction dynamics of the SiH2 system. Acta Physica Sinica, 2009, 58(12): 8217-8223. doi: 10.7498/aps.58.8217
[13]	Chen He-Sheng. Phase transition of lattice quantum chromodynamics with 2+1 flavor fermions at finite temperature and finite density. Acta Physica Sinica, 2009, 58(10): 6791-6797. doi: 10.7498/aps.58.6791
[14]	Zou Shao-Cun, Xu Wei, Jin Yan-Fei. The study of stochastic Van der Pol system with delayed state feedback. Acta Physica Sinica, 2008, 57(12): 7527-7534. doi: 10.7498/aps.57.7527
[15]	Luo Yu-Feng, Zhong Cheng, Zhang Li, Yan Xue-Jian, Li Jin, Jiang Yi-Ming. An in situ method for characterizing the kinetics of the oxidation process of copper thin films via sheet resistance. Acta Physica Sinica, 2007, 56(11): 6722-6726. doi: 10.7498/aps.56.6722
[16]	Liu Jian-Ye, Guo Wen-Jun, Xing Yong-Zhong, Lee Xi-Guo, Zuo Wei. Nuclear reaction dynamics induced by halo-nuclei at intermediate energy heavy ion collisions. Acta Physica Sinica, 2006, 55(3): 1068-1076. doi: 10.7498/aps.55.1068
[17]	Tang Jun, Yang Xian-Qing, Qiu Kang. Studies on dynamical behavior in reaction limited aggregation model. Acta Physica Sinica, 2005, 54(7): 3307-3311. doi: 10.7498/aps.54.3307
[18]	Chen Wen-Zhen, Zhu Bo, Li Hao-Feng. The analytic solutions of point-reactor neutron-kinetics equation with small step reactivity. Acta Physica Sinica, 2004, 53(8): 2486-2489. doi: 10.7498/aps.53.2486
[19]	SUN JIAN-GANG, GUAN SHAN, JI XI-PING, HE DA-REN, WANG BING-HONG, QU SHI-XIAN. NEW CRISES DUE TO DYNAMICAL DISCONTINUITY. Acta Physica Sinica, 1996, 45(12): 1970-1977. doi: 10.7498/aps.45.1970
[20]	XING XIU-SAN. THE PHYSICAL KINETICS OF STRUCTURAL RELIABILITY. Acta Physica Sinica, 1986, 35(6): 741-749. doi: 10.7498/aps.35.741

Catalog

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

Metrics

Abstract views: 9482
PDF Downloads: 909
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板