电力系统改进时滞依赖型稳定判据  

An Improved Delay-dependent Stability Criteria for Power System with Multiple Time Delays

作　　者：贾宏杰[1] 安海云[1] 余晓丹[1] 

机构地区：[1]天津大学电力系统仿真控制教育部重点实验室,天津市300072

出　　处：《电力系统自动化》2008年第19期15-19,24,共6页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(50595413;50707019);国家重点基础研究发展计划(973计划)资助项目(2004CB217904);全国优秀博士学位论文作者专项基金资助项目(200439);新世纪优秀人才支持计划资助项目;霍英东教育基金会优选资助课题(104019);天津市科技发展计划项目(06TXTJJC13700)~~

摘　　要：给出一种改进的基于Lyapunov理论的电力系统时滞稳定分析方法。首先基于Krasovskii理论列解系统的Lyapunov泛函,然后将泛函对时滞系统轨迹的导函数用一组线性矩阵不等式(LMI)表示,在泛函导数推导过程中,通过引入一些必要的松散项以减少方法的保守性。最后,借助典型2阶时滞系统和WSCC3机9节点系统,验证了所述方法的有效性,并与自由权矩阵方法进行了比较和讨论。An improved delay-dependent stability criterion for power system with multiple time-delays is presented. In this method, a Lyapunov function is constructed based on Lyapunov-Krasovskii theory. To reduce the conservativeness of the method, some necessary slack variables are introduced to its derivative function. The derivative function is then expressed as a set of Linear Matrix Inequalities （LMI）, which can be solved by the LMI toolboxes. A typical two dimensional time-delayed system and the WSCC 3-generator-9-bus system are employed in the case study. The results reveal the vahdity and effectiveness of the presented method.

关 键 词：时滞依赖型稳定判据 LYAPUNOV函数 线性矩阵不等式 电力系统 

分 类 号：TM712[电气工程—电力系统及自动化]