Lyapunov理论在压水堆堆芯全局稳定性分析中的应用

Using Lyapunov theories to determine the global stability of a Pressurized Water Reactor (PWR) core nonlinear system is the problem to be solved. First, the core nonlinear system is modeled through the lumped parameter method and the linearized model of the system is gotten via the small perturbation method. Second, ten linear models corresponding to ten power levels respectively are chosen as local models of the core and the set of ten local models is utilized to approximately substitute the core system. Third, Lyapunov indirect method is adopted to analyze the local stability of the core at the ten levels and then the theorem deduced based on Lyapunov direct method is exploited to verify the global stability of the core nonlinear system within the range of power level. Finally, the calculated results show that the core nonlinear system is stable globally and asymptotically.