一种求解电力系统动态电压稳定Hopf分岔点的新型混合方法

A NovelL Hybrid Method fir Computing Hopf Bifurcation Point of Dynamic Voltage Stability in Power System

求解非线性动力系统Hopf分岔点的方法主要有连续法和直接法两种,提出了一种求解Hopf分岔点的混合方法,并应用到电力系统动态电压稳定分析中。以描述电力系统动态特性的微分方程(ODE)为研究对象,构造了一个相对简单的拓展系统,并利用同伦方法来求解该系统,所得的系统孤立解即为动态电压稳定的Hopf分岔点,也就是动态电压稳定的临界点。可以有效克服直接法对初值要求比较严格的缺点,同时利用相对简单的拓展系统来求解,在一定程度上减少了计算量。最后利用一个简化的电力系统动态模型进行验证。

A hybrid method for computing Hopf bifurcation point is presented and introduced into the analysis of dynamic voltage stability in power system. The method deals with the ODE model which describe the dynamic characteristics of power system. A simple augmented system is established with the algebra equations is taken into account and solved by applying the Homotopy method. The isolated solution of the augmented system is the Hopf bifurcation point or the critical point of dynamic voltage stability. The strict requirement of the initial values which is the instinctive shortcoming of direct method is overcome and the computational complexity is decreased by the application of the simple augmented system. The proposed method has been applied to a simple power system dynamic model to illustrate its effectiveness.