中文摘要：

本文为了研究一类经典二维非线性电力系统的分岔现象,介绍了电力系统模型中常见分岔的基本概念,求出系统产生鞍结分岔的条件。利用MATLAB软件对此电力系统的分岔现象进行了数值仿真研究。文中给出了不同参数变化时系统的状态响应曲线。仿真分析验证了鞍结分岔产生的条件,同时直观给出参数变化对电力系统的分岔影响。结论表明,系统的参数变化都会引起系统状态的分岔现象。参数E和参数V随着数值的增大,系统复杂性增加,最后导致混沌,而机械输入功率Pm的变化会引起更复杂的动力学行为,出现周期性的分岔和混沌现象,所以在实际电力系统的运转中要注意对此参数的控制。

英文摘要：

In order to study the bifurcation in a classical two order nonlinear power system, the paper introduces the basic concept of bifurcation types in power system, and solves the condition of saddle-node bifurcation of the system. The paper makes a numerical simulation research on bifurcation of the power system by MATLAB.The paper gives different state response curves in terms of different parameters. The simulation analysis verifies the correctness of the numerical calculation results, and works out the influence of parametric variation. Simulation results show that the parameters variation of the system may cause the state bifurcations. The system becomes more complex with the growth of parameter E and parameter V, leading to chaos. However, the change of mechanical input power Pm can cause more complex dynamical behavior and produce periodic bifurcation and chaos phenomenon. Therefore, we should pay attention to the control of this parameter in operating power systems.