一类电力系统分岔的仿真研究  

Simulation Research on Bifurcation in a Type of Power Systems

作　　者：王金宝[1] 畅春玲[1] 韩孺眉[1] 付春菊[1] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168

出　　处：《科技广场》2015年第9期47-51,共5页Science Mosaic

基　　金：国家自然科学基金项目(编号:61273003)

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。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.

关 键 词：电力系统 电压稳定 鞍结分岔 MATLAB 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TM712[自动化与计算机技术—控制科学与工程]