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墙壁反射中子对脉冲堆波形的影响

高辉 宋凌莉 李兵

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墙壁反射中子对脉冲堆波形的影响

高辉, 宋凌莉, 李兵

Influence of reflected neutrons of wall on waveform of burst reactors

Gao Hui, Song Ling-Li, Li Bing
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  • 墙壁的反射中子会对快脉冲堆的波形产生明显的影响.堆芯中子泄漏后,经过墙壁的反射有一定的概率返回堆芯,由于能量的差异,泄漏中子的返回时间是一个连续的分布.传统的双区模型只考虑了相互作用概率,而没有时间信息,尽管可以很好地解决稳态问题,而无法解决瞬态问题.本文采用等效的方法,把泄漏中子等效为时间相关的堆芯本征源,建立了含有反射效应的时间关联双区模型.求解得到的脉冲波形与CFBR-Ⅱ的实验结果一致,从而合理解释了脉冲波形后沿衰减变慢和坪功率提高的实验现象.
    The reflected neutrons from the wall of the reactor have a significant effect on the waveform of the fast burst reactor. The leakage neutrons from the reactor core have a certain probability that they will come back. Their return time displays a continuous distribution because of the difference in energy among the reflected neutrons. In the stable state, the influence of the reflected neutrons is not obvious. However, in a prompt state, it is obvious because the reflected neutrons are not synchronized with the neutrons in the reactor core, which leads to some strange phenomena in experiment. For example, in the process of erupting a fission burst in a metal reactor, the number of neutrons in core increases very rapidly, while the return time of reflected neutrons lags behind, which causes the falling edge to slow down. The two-region kinetic model, which divides the reactor core into a fission region and a reflected region, is generally used to study the reflected reactor. The traditional two-region kinetic model only takes into account the interaction probability between the two regions but the time property of the interaction is not considered at all. Therefore, the traditional two-region model can well describe the stable state process rather than the prompt one. In the early stage, the delayed neutron approximation method was used to study the reflected neutron problem of metal burst reactors. Although some parameters were obtained to be in accordance with the experimental results, there existed a significant difference in behavior between delayed neutrons and reflected neutrons. In this paper, we present a time-dependent two-region model which can effectively describe the behavior of the reflected neutrons in both stable and prompt states. Firstly, we use the Monte-Carlo method to calculate the returning behavior of one leakage neutron from the reactor core. The equivalent eigen source is obtained by solving the kinetic equation with the Monte-Carlo calculating result. This source, including time information, causes the same effect as that of one leakage neutron in the reactor. Secondly, we establish the kinetic equation with reflection effect by introducing the eigen source. In short, the reflected neutrons are treated as an equivalent neutron source. The waveform acquired through solving the equation is consistent with the experiment data of CFBR-Ⅱ, which reasonably describes the experimental phenomenon of falling edge slow-down and plateau power increase.
      通信作者: 高辉, freegaohui@163.com
    • 基金项目: 国家自然科学基金(批准号:11775197)资助的课题.
      Corresponding author: Gao Hui, freegaohui@163.com
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11775197).
    [1]

    Zhong J, Chen W, Yang J, Wang D H, Chen D 2001 Physics 30 693 (in Chinese)[钟洁, 陈伟, 杨军, 王道华, 陈达 2001 物理 30 693]

    [2]

    Yang C, Gong S 1995 Trends Nucl. Phys. 12 58 (in Chinese)[杨成德, 龚书良 1995 核物理动态 12 58]

    [3]

    Ye T, Sun W, Deng L, She R, Xiao G 2014 Nucl. Data Sheets 118 582

    [4]

    Price C C 1970 Ph. D. Dissertation (Albuquerque:University of New Mexico)

    [5]

    Coats R L

    [6]

    Avery R 1958 Nucl. Sci. Eng. 3 129

    [7]

    Cohn C E

    [8]

    Cohn C E 1962 Nucl. Sci. Eng. 13 12

    [9]

    Spriggs G D, Busch R D 1994 The Shift of Prompt Critical in Reflected Reactors and the Limitations of the Mean Prompt-neutron Lifetime Model (Los Alamos National Laboratory) LA-UR-94-2250

    [10]

    Busch R D, Spriggs G D 1995 Coupling Parameters for Partially Reflected Reactors (Los Alamos National Laboratory) LA-UR-95-2028

    [11]

    Spriggs G D, Busch R D, Williams J G 1997 Ann. Nucl. Energ. 24 205

    [12]

    Dam H V 1996 Ann. Nucl. Energ. 23 1127

    [13]

    Tobias M, Haubenreich P N, Aven R E 1953 Conversion in a Two-Region Reactor (Oak Ridge National Laboratory) CF-53-2-134

    [14]

    Aboanber A E 2010 Prog. Nucl. Energ. 52 197

    [15]

    Kawai T 1965 J. Nucl. Sci. Technol. 2 245

    [16]

    Kawai T 1965 J. Nucl. Sci. Technol. 2 285

    [17]

    Wimett T F 1960 Nucl. Sci. Eng. 8 691

    [18]

    Zhang X D 1995 J. Changzhou Norm. College of Technol. 1 1 (in Chinese)[张显达 1995 常州技术师范学院学报 1 1]

    [19]

    Li B, Lu Y, Lu W, Li M, Liang W F, Xie Q L, Fan X Q 2014 At. Energ. Sci. Technol. 48(s1) 144 (in Chinese)[李兵, 鲁艺, 卢伟, 李勐, 梁文峰, 谢奇林, 范晓强 2014 原子能科学技术 48(增刊1) 144]

    [20]

    Li B, Lu Y, Gao H 2016 High Power Laser and Particle Beams 28 056001 (in Chinese)[李兵, 鲁艺, 高辉 2016 强激光与粒子束 28 056001]

    [21]

    Song L L, Gao H

    [22]

    He R F, Deng M C 2012 Experiments and Physics on Fast-Neutron Critical Facilities and Pulsed Reactors (Bejing:National Defence Industry Press) p439 (in Chinese)[贺仁辅, 邓门才 2012 快中子临界装置和脉冲堆实验物理(北京:国防工业出版社) 第439页]

  • [1]

    Zhong J, Chen W, Yang J, Wang D H, Chen D 2001 Physics 30 693 (in Chinese)[钟洁, 陈伟, 杨军, 王道华, 陈达 2001 物理 30 693]

    [2]

    Yang C, Gong S 1995 Trends Nucl. Phys. 12 58 (in Chinese)[杨成德, 龚书良 1995 核物理动态 12 58]

    [3]

    Ye T, Sun W, Deng L, She R, Xiao G 2014 Nucl. Data Sheets 118 582

    [4]

    Price C C 1970 Ph. D. Dissertation (Albuquerque:University of New Mexico)

    [5]

    Coats R L

    [6]

    Avery R 1958 Nucl. Sci. Eng. 3 129

    [7]

    Cohn C E

    [8]

    Cohn C E 1962 Nucl. Sci. Eng. 13 12

    [9]

    Spriggs G D, Busch R D 1994 The Shift of Prompt Critical in Reflected Reactors and the Limitations of the Mean Prompt-neutron Lifetime Model (Los Alamos National Laboratory) LA-UR-94-2250

    [10]

    Busch R D, Spriggs G D 1995 Coupling Parameters for Partially Reflected Reactors (Los Alamos National Laboratory) LA-UR-95-2028

    [11]

    Spriggs G D, Busch R D, Williams J G 1997 Ann. Nucl. Energ. 24 205

    [12]

    Dam H V 1996 Ann. Nucl. Energ. 23 1127

    [13]

    Tobias M, Haubenreich P N, Aven R E 1953 Conversion in a Two-Region Reactor (Oak Ridge National Laboratory) CF-53-2-134

    [14]

    Aboanber A E 2010 Prog. Nucl. Energ. 52 197

    [15]

    Kawai T 1965 J. Nucl. Sci. Technol. 2 245

    [16]

    Kawai T 1965 J. Nucl. Sci. Technol. 2 285

    [17]

    Wimett T F 1960 Nucl. Sci. Eng. 8 691

    [18]

    Zhang X D 1995 J. Changzhou Norm. College of Technol. 1 1 (in Chinese)[张显达 1995 常州技术师范学院学报 1 1]

    [19]

    Li B, Lu Y, Lu W, Li M, Liang W F, Xie Q L, Fan X Q 2014 At. Energ. Sci. Technol. 48(s1) 144 (in Chinese)[李兵, 鲁艺, 卢伟, 李勐, 梁文峰, 谢奇林, 范晓强 2014 原子能科学技术 48(增刊1) 144]

    [20]

    Li B, Lu Y, Gao H 2016 High Power Laser and Particle Beams 28 056001 (in Chinese)[李兵, 鲁艺, 高辉 2016 强激光与粒子束 28 056001]

    [21]

    Song L L, Gao H

    [22]

    He R F, Deng M C 2012 Experiments and Physics on Fast-Neutron Critical Facilities and Pulsed Reactors (Bejing:National Defence Industry Press) p439 (in Chinese)[贺仁辅, 邓门才 2012 快中子临界装置和脉冲堆实验物理(北京:国防工业出版社) 第439页]

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出版历程
  • 收稿日期:  2018-01-12
  • 修回日期:  2018-05-30
  • 刊出日期:  2018-09-05

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