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.%判定压水堆堆芯非线性系统的全局稳定性是待解决的问题.建立了压水堆堆芯非线性系统,利用微小摄动方法求取其线性化模型.依据基于平衡流型的堆芯非线性测度在功率水平域内的分布情况,选择7个功率水平处的线性化模型作为堆芯局部模型,以局部模型组合来近似替代堆芯非线性系统.利用Lyapunov稳定性理论,分析堆芯非线性系统全局稳定性.计算结果表明:压水堆堆芯非线性系统是全局渐进稳定的；在判定堆芯系统全局稳定性时,这种非线性系统的建模方法是有效可行的.
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