A Study of the Multiplicity of Power Distributions in a Nuclear Reactor Subject to Reactivity Feedbacks
作者:
YangChae Y.,
ChoNam Z.,
期刊:
Nuclear Science and Engineering
(Taylor Available online 1989)
卷期:
Volume 101,
issue 3
页码: 243-258
ISSN:0029-5639
年代: 1989
DOI:10.13182/NSE89-A23612
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractA nonlinear reactor model is developed taking into account several feedback effects, such as moderator and fuel temperatures, xenon absorption, and soluble boron concentration, through energy balance relations in the core. The resulting equation belongs to a class of nonlinear boundary value problems, and it is shown through bifurcation theory that there may exist multiple steady-state solutions for a range of parameters that correspond to various design and operating conditions. Solutions are obtained numerically for ranges of the parameters by the arc-length continuation method in combination with Newton’s method. Stability analysis is also applied to each solution to investigate whether the solution is stable or not. When the stable and unstable regions of the steady-state solutions are plotted for a wide range of the parameters, we can choose a range of the reactor design and operating conditions such that the reactor does not encounter unstable situations.
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