The O(epsilon)-Correction to Boundary of Stability Region for Multi-time Scale Power Systems

Ping Huang, Yao Zhang, Yongqiang Liu

Abstract: In the transient stability analysis of power systems it is extremely important to determine the boundary of stability region. Owing to the complexity and multi-time scale natures of electric power systems, it is necessary to correct boundary of stability region of simplified system (approximate reduction order system). In this paper, determining conditions of the stability boundary of multi-time scale systems is presented, O(ε)-correction formula of the stability boundary is obtained for multi-time scale power systems, which decreases the errors caused by employing the approximate reduced model to instead of the exact reduced system. An example and a simulation of one-machine infinite-bus electric power system are given to illustrate the validity of the O(ε)-correction algorithm.