作　　者： ; ; ; ;

机构地区： 华南理工大学电力学院

出　　处： 《继电器》 2005年第1期34-37,41,共5页

摘　　要： 采用Hopf分岔理论研究电力系统的稳定运行问题,能够比较全面地考虑非线性系统的非线性状态,深入揭示系统失稳的机理。然而以往方法在计算Hopf分岔点时,每改变一次参数都要计算一次系统Jacobian矩阵的特征值并判断特征根实部是否为零,导致计算量较大。通过引入Hopf分岔的劳斯判据,可直接求得非线性系统的Hopf分岔点以及系统振荡的频率,克服了以往方法因计算系统Jacobian矩阵的计算量大的缺点。简单电力系统的算例分析证明了所提方法的有效性。 By using Hopf bifurcation theory to analyze the stability operation of electric power systems, the nonlinear characteristics of nonlinear systems can be totally involved and the instability reasons for systems be revealed further. While to calculate the Hopf bifurcation points, the previous methods involve a great deal of computation of the eigenvalues of system's Jacobian matrix and decision whether the real parts of the eigenvalues were zero when there exist any change of the parameters in the system. In this paper, with the Louts criterion for Hopf bifurcation, the Hopf bifurcation point of the nonlinear systems and the corresponding frequency at this point can be obtained directly, which overcomes the drawback of the traditional method involving much computation for systems' Jacobian matrix. The method introduced in the paper is proved effective by the example for a simple electric power system. This project is supported by National Natural Science Foundation of China (No.50337010) and Research Fund for the Doctoral Programme of Higher Education(No.20020561004).

关 键 词： 电力系统 分岔理论 分岔 劳斯判据

领　　域： [电气工程]