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Homotopy analysis method is a new method to form approximate analytical solution for non-linear system by using various base functions, which is different from traditional analytical methods. So far, the analytical solution of the point reactor neutron kinetics equations with six-group delayed neutrons has not been obtained yet. In this paper the homotopy analysis method is employed for solving the point reactor neutron kinetics equations with six-group delayed neutrons. The series analysis solutions are obtained using the homotopy analysis method, and the relevant algorithm is given and analyzed. The results show that the computation time and accuracy satisfy the engineering requirements. This analysis method can be applied to the design, the analysis and the simulation of reactor control.
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Keywords:
- homotopy analysis method /
- neutron kinetics /
- point reactor equation /
- six-group delayed neutrons
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[1] Huang Z Q 2007 Kinetics Base of Nuclear Reactor (BeijingPeaking University Press) p174 (in Chinese)[黄祖洽 2007 核反应堆动力学基础 (北京: 北京大学出版社) 第174页]
[2] [3] Chen W Z, Kuang B, Guo L F, Chen Z Y, Zhu B 2006 NuclearEngineering and Design 236 1326
[4] [5] [6] Chen W Z, Guo L F, Zhu B, Li H F 2007 Progress in NuclearEnergy 49 290
[7] [8] Li H F, ChenWZ, Zhang F, Luo L 2007 Annals of Nuclear Energy34 521
[9] Zhang F, Chen W Z, Gui X W 2008 Annals of Nuclear Energy 35746
[10] [11] Li H F, Shang X L, Chen W Z 2010 Chinese Science Bulletin 554116
[12] [13] [14] Li H F, Chen W Z, Zhang F, Chen Z Y 2010 Progress in NuclearEnergy 52 321
[15] Li H F, Chen W Z, Zhang F, Shang X L 2010 Acta Phys. Sin. 592375 (in Chinese)[黎浩峰, 陈文振, 张帆, 商学利 2010 物理学报 59 2375]
[16] [17] Liao S J 2003 Beyond Perturbation: Introduction to the HomotopyAnalysis Method(Boca Raton: Chapman Hall/CRC Press)p20
[18] [19] Yamashita M, Yabushita K, Tsuboi K 2007 J. Phys. 40 8403
[20] [21] Liao S J, Tan Y 2007 Stud. Appl. Math. 119 317
[22] [23] [24] Zhu Q, Li H F, Luo L, Chen Z Y 2010 Atomic Energy Science andTechnology 44(s1) 303 (in Chinese)[朱倩, 黎浩峰, 罗磊, 陈志云 2010 原子能科学技术 44 (s1) 303]
[25] [26] Ye W C, Li B, Wang J 2011 Acta Phys. Sin.60 030207 (in Chinese)[叶望川, 李彪, 王佳 2011 物理学报 60 030207]
[27] [28] Li H F, Chen W Z, Luo L, Zhu Q 2009 Annals of Nuclear Energy36 427
[29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53]
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