原子能科学技术2013,Vol.47Issue(2):271-276,6.DOI:10.7538/yzk.2013.47.02.0271
压水堆堆芯非线性系统的全局稳定性分析
Global Stability Analysis of Pressurized Water Reactor Core Nonlinear System
摘要
Abstract
Determining the global stability of a pressurized water reactor (PWR) core nonlinear system is the problem to be solved. In the paper, the core nonlinear system was modeled and the linearized model of the system was obtained via the small perturbation method. According to the distributing situation of the core nonlinearity measure in the power level range based on the equilibrium manifold, seven linear models corresponding to seven power levels respectively were chosen as local models of the core and the set of seven local models was used to approximately substitute the core system. The global stability of the PWR core nonlinear system was analyzed by utilizing Lyapunov stability theory. The calculated result shows that the core nonlinear system is globally and asymptotically stable. The modeling method of the core is effective in analyzing the global stability of a PWR core nonlinear system.关键词
压水堆堆芯/平衡流型/非线性测度/Lyapunov稳定性理论/全局稳定性Key words
pressurized water reactor core/ equilibrium manifold/ nonlinearity measure/ Lyapunov stability theory/ global stability分类
能源科技引用本文复制引用
李罡,赵福宇,刘洋..压水堆堆芯非线性系统的全局稳定性分析[J].原子能科学技术,2013,47(2):271-276,6.基金项目
国家教育部博士点基金资助项目(20100201110009) (20100201110009)