为分析交直流电力系统的动态电压稳定性,采用非线性动态系统的Hopf分岔分析方法,得到了系统的动态稳定裕度,获取了系统失稳的关键因素。并在此基础上,依据特征值灵敏度分析了直流系统控制参数对电力系统Hopf分岔的影响,为避免系统因发生Hopf分岔而失稳提供了制定控制策略的依据。最后,借助非线性分析软件AUTO97,运用Hopf分岔分析方法,详细分析了一个三机交直流系统的动态电压稳定性。算例测试表明:分岔理论可以比传统线性化分析方法更为准确地分析系统在临界点领域附近的动态稳定情况。
The Hopf bifurcation analysis method for nonlinear dynamic systems is used to analyze danymic voltage stability of AC/DC power systems. As a result, the danymic stability margin and losing-stability key elements are obtained. Accordingly, the eigenvalues sensitivity is applied for analyzing influence of the control parameters of the DC system on the Hopf bifurcation, which provides a basis of control strategy for avoiding loss-stability of the power system. Finally, by the nonlinearal analysis software package-Auto97, the danymic volgate stability of a 3-bus AC/DC power system is studied in detail with the method proposed in this paper. The test in this example shows that the bifurcation theory can be more accurate than the linearizal method in anlyzing the dynamical stability near the critical point of the power systems.