Expanding Annular Domain Algorithm to Estimate Domains of Attraction for Power System Stability Analysis

作     者：Yuqing Lin Tianhao Wen Yang Liu Q.H.Wu 

作者机构：School of Electric Power EngineeringSouth China University of TechnologyGuangzhou 510640China 

出 版 物：《CSEE Journal of Power and Energy Systems》 (中国电机工程学会电力与能源系统学报（英文）)

年 卷 期：2024年第10卷第5期

页      面：1925-1934页

核心收录：

学科分类：080802[工学-电力系统及其自动化] 0808[工学-电气工程] 08[工学] 

基　　金：supported in part by the State Key Program of National Natural Science Foundation of China under Grant No.U1866210 Young Elite Scientists Sponsorship Program by CSEE under Grant No.CSEE-YESS-2018007 

主　　题：Domain of attraction Lyapunov functions power system transient stability sum of squares programming 

摘      要：This paper presents an Expanding Annular Domain(EAD)algorithm combined with Sum of Squares(SOS)programming to estimate and maximize the domain of attraction(DA)of power *** proposed algorithm can systematically construct polynomial Lyapunov functions for power systems with transfer conductance and reliably determine a less conservative approximated DA,which are quite difficult to achieve with traditional *** linear SOS programming,we begin from an initial estimated DA,then enlarge it by iteratively determining a series of so-called annular domains of attraction,each of which is characterized by level sets of two successively obtained Lyapunov ***,the EAD algorithm is theoretically analyzed in detail and its validity and convergence are shown under certain *** the end,our method is tested on two classical power system cases and is demonstrated to be superior to existing methods in terms of computational speed and conservativeness of results.