以简化直接法求解电力系统动态电压稳定Hopf分岔点

对于1个n维电力系统,以往求解Hopf分岔点的直接法需要解1个2n 2维的方程组,计算量很大,极易陷入维数灾难。该文把一种直接求解Hopf分岔点的新方法引入到电力系统动态电压稳定分析中。该方法构造了1个n 2维的拓展系统,该拓展系统由描述电力系统动态特性的微分代数方程组和2个标量方程组成。直接求解该拓展系统就可以获得电力系统动态电压稳定的Hopf分岔点,简化了计算过程。2个典型电力系统动态模型的算例,验证了其有效性。该方法计算量相对较小,适用于大型电力系统动态电压稳定的分析计算。

A Direct Method for Computing Hopf Bifurcation Point in Power System Dynamic Voltage Stability

In classic direct method to calculate the Hopf bifurcation points, a (2n 2)-dimensional augmented was required for a n-dimensional power system. The computation was expensive to solve the augmented system. A novel method to calculate the Hopf bifurcation points in power system dynamic voltage stability is presented. A (n 2)-dimensional augmented system is founded which includes the differential-algebraic equations set to describe the dynamic characteristics of the power system and 2 scalar equations. The Hopf bifurcation points can be ascertained by solve the new augmented system. The proposed method has been applied to two classic power system dynamic models to illustrate its effectiveness. This arithmetic takes less time and storage compared with the classic ones, so it is suitable for the application of dynamic voltage stability analysis in bulk power system.