基于特征根聚类的电力系统时滞稳定域研究  

Stability regions of time-delayed power system based on clustering treatment of characteristic roots

作　　者：刘兆燕[1,2] 江全元[1] 徐立中[1] 曹一家[1] 

机构地区：[1]浙江大学电气工程学院,浙江杭州310027 [2]北京电力设计院,北京100055

出　　处：《浙江大学学报（工学版）》2009年第8期1473-1479,共7页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(50507018);国家自然科学基金重点资助项目(50595414)

摘　　要：为了研究广域测量系统(WAMS)中的信号延迟对电力系统稳定性的影响,引入了一种分析时滞系统稳定性的直接法.该方法通过Rekasius变换消去特征方程中的指数项,解决了考虑时滞的超越方程的求解难题.对系统特征根进行了两步聚类处理,利用Routh判据求解系统特征方程的纯虚根,研究了特征根穿越虚轴的情况,得到了系统不稳定特征根个数在整个时滞空间内的分布.对装设晶闸管可控串补(TCSC)控制器的单机无穷大系统和四机两区域系统进行了时滞稳定域研究,结果表明,该方法计算过程简单,能够有效求解单时滞电力系统的时滞稳定域,最终得到了系统在时滞空间内的准确稳定域.对原系统进行的时域仿真结果验证了该方法的有效性.A direct method for analyzing the stability of time-delayed systems was presented to study the effect of signal time delay in the wide area measurement system （WAMS） on power system stability. Rekasius transform was introduced in this method to deal with the transcendental terms in the characteristic equation and the transcendental equations could be solved effectively. Two steps of clustering treatments were performed on the characteristic roots. Routh criterion was employed to get the pure imaginary characteristic roots. The crossing direction of the characteristic roots over the imaginary axis was studied and the number of unstable roots in the time delay space was obtained. The stability of the single machine infinite bus （SMIB） system with a TCSC controller and the 4-machine 2-area system were analyzed considering the feedback transmission delays. Results show that this method is simple and can effectively calculate the stablility regions of time-delayed power systems with single delay. The complete stability regions of these two test systems were obtained through this direct method in the time delay space. The validity of this method was verified by the time domain simulation results.

关 键 词：电力系统 稳定性分析 时滞 聚类处理 特征根 

分 类 号：TM712[电气工程—电力系统及自动化]