研究了单机无穷大电力系统在外部周期性负荷扰动作用下的非线性动力学行为：运用多尺度法分析了单机无穷大系统主共振的解析解及其稳定性，根据系统的分岔方程，运用C-L方法分析了主共振响应在不同系统参数下的不同分岔模式，研究表明该系统的不同分岔模式与其运行参数和结构参数有密切联系；数值仿真表明随着激励幅值的变化，该系统具有由倍周期分岔通往混沌直至增幅振荡失步的丰富动力学行为，从而为电力系统中同步发电机的同步运行、振荡失步提供理论指导。%The nonlinear dynamic behavior of a single-machine-infinite bus (SMIB)power system with a periodical load disturbance were studied here.The method of multi-scale was used to analyze the system's approximate primary resonance analytical solution and its stability.According to the system's bifurcation equation,different bifurcation models of the primary resonance with different system parameters were analyzed directly by using C-L method.It was shown that the occurrence of different bifurcation models is closely related to the operational parameters and structural parameters of the power system.The numerical simulation results showed that with varying of the excitation amplitude,this system has rich dynamic behaviors characterized with period-doubling bifurcation transferring to chaos and oscillation losing steps. The results provided a theoretical guidance for synchronous operation and oscillation losing steps of a synchronous generator.
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