摘要： 针对电力系统稳定性分析运算时间长、稳定域过于保守等问题,提出一种改进算法分析小型电力系统的暂态稳定性。基于能量函数法,利用平方和分解法得到李雅普诺夫函数,使用粒子群优化算法求其临界能量,改造李雅普诺夫函数扩张稳定域,以达到稳定域边界逼近实际边界的目的,采用Matlab对电力系统的稳定性进行仿真分析并验证其精确度及速度。应用改进的能量函数法实时判断当前状态的稳定裕度,计算故障极限切除时间,了解系统崩溃的接近程度。仿真结果表明,改进算法计算速度快、易于实现、可靠性高,具有较高的工程实用性。

关键词: 电力系统稳定性, 能量函数法, 临界能量, 粒子群优化, 仿真分析

Abstract: This paper proposes an improved algorithm to solve the stability analysis problems of long computing time and too conservative stability ragion in small power system,such as the long time in computing,too conservative issues and so on.The algorithm is based on energy function.Use squares decomposition method to obtain Lyapunov function and use Particle Swarm Optimization(PSO) algorithm to get critical energy.Transform the Lyapunov function expand stability field in final.The algorithm can achieve stability boundary approximation of the actual boundary.Then stability of the power system is simulated and analyzed in Matlab to verify its accuracy and speed.Application of improved energy function method can determine the current state’s stability margin in real-time,calculate limited clearing fault time and understand how close the system crash is.The improved algorithm is fast to calculate,easy to achieve,and has higher reliability and better project practicality.

Key words: power system stability, energy function method, critical energy, Particle Swarm Optimization(PSO), simulation analysis

中图分类号: 

• TP301.6