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压水堆堆芯非线性系统的全局稳定性分析

李罡 赵福宇 刘洋

原子能科学技术2013,Vol.47Issue(2):271-276,6.
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

李罡 1赵福宇 1刘洋1

作者信息

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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)

原子能科学技术

OA北大核心CSCDCSTPCD

1000-6931

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