A reduced-order method for estimating the stability region of power systems with saturated controls

作     者：GAN DeQiang XIN HuanHai QIU JiaJu HAN ZhenXiang 

作者机构：Department of Electrical Engineering Zhejiang University Hangzhou 310027 China Department of Electrical Engineering Zhejiang University Hangzhou 310027 China Department of Electrical Engineering Zhejiang University Hangzhou 310027 China Department of Electrical Engineering Zhejiang University Hangzhou 310027 China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2007年第50卷第5期

页      面：585-605页

核心收录：

学科分类：0810[工学-信息与通信工程] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 50595411) the New Century Outstanding Investigator Program of the Ministry of Education (Grant No. NCET-04-0529) 

主　　题：saturation nonlinearity, power system stabilizer, linear matrix inequality, singular perturbation method, reduced-order method 

摘      要：In a modern power system, there is often large difference in the decay speeds of transients. This could lead to numerical problems such as heavy simulation burden and singularity when the traditional methods are used to estimate the stability re- gion of such a dynamic system with saturation nonlinearities. To overcome these problems, a reduced-order method, based on the singular perturbation theory, is suggested to estimate the stability region of a singular system with saturation nonlinearities. In the reduced-order method, a low-order linear dynamic system with saturation nonlinearities is constructed to estimate the stability region of the primary high-order system so that the singularity is eliminated and the estimation process is simplified. In addition, the analytical foundation of the reduction method is proven and the method is validated using a test power system with 3 buses and 5 machines.