Investigation of chaotic oscillations in boiling-water reactors

被引:0
作者
N. S. Postnikov
机构
[1] Nizhnii Novgorod Lobachevskii State University,Research Institute of Mechanics
来源
Atomic Energy | 2009年 / 107卷
关键词
Chaotic Dynamic; Saturation Temperature; Chaotic Oscillation; Channel Entrance; Fuel Temperature;
D O I
暂无
中图分类号
学科分类号
摘要
The chaotic dynamics of boiling-water reactors is investigated on the basis of a one-dimensional integral model of momentum for the boiling-water channel and point equation of kinetics. It is shown that chaotic oscillations during which the sign of the coolant velocity in the boiling channel changes occur in the case of strong feedback on steam content with the parameters of the boiling channel deep in the region of instability occur in boiling-water reactors with natural and forced circulation of the coolant. It is determined that such oscillations can occur with the standard reactor arrangement when the core entrance is open for water to enter the core and for back circulation of the coolant as well as with an arrangement where the entrance is half open – closed for back circulation of the coolant. A numerical calculation of the chaotic oscillations is performed. The mechanism of pulsed chaos is described. Regions of stability and stochasticity are separated in the plane of the parameters characterizing the underheating of water to the saturation temperature at the entrance to the reactor and stationary average steam content in the core. One-dimensional point mappings determining the chaotic dynamics of the boiling water reactor are constructed. The properties of the mappings and the bifurcation of their stationary points are investigated.
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页码:291 / 301
页数:10
相关论文
共 16 条
[1]  
March-Leuba J(1986)Nonlinear dynamics and stability of boiling water reactors. I. Qualitative analysis Nucl. Sci. Eng. 93 111-123
[2]  
Cacuci D(1988)A chaotic attractor in a periodically forced two-phase flow system Nucl. Sci. Eng. 100 393-404
[3]  
Perez R(1991)An application of fractal and chaos theory in the field of two-phase flow and heat transfer Heat and Mass Transfer 26 351-363
[4]  
Rizwan-uddin J(1991)The analysis of periodic and strange attractors during density-wave oscillations in boiling flows Chaos. Solitons, Fractals 1 167-178
[5]  
Doming R(1999)Nonlinear analysis of a natural circulation boiling water reactor Nucl. Sci. Eng. 131 23-44
[6]  
Lahey A(2005)Nonlinear analysis for a nuclear-coupled two-phase natural circulation loop Nucl. Eng. Design 235 613-626
[7]  
Clausse R(2009)Periodic and chaotic oscillations in the nuclear-coupled boiling channel system subject to strong void-reactivity feedbacks Ann. Nucl. Energy 36 793-801
[8]  
Lahey D(2004)Possibility, admissibility, and desirability of realizing pulsed stochastic regimes in boiling water reactors with natural circulation of the coolant At. Énerg. 97 422-431
[9]  
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