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

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外文摘要：This paper presents an Expanding Annular Domain(EAD)algorithm combined with Sum of Squares(SOS)program-ming to estimate and maximize the domain of attraction(DA)of power systems.The 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 methods.With 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 functions.Moreover,the EAD algorithm is theoretically analyzed in detail and its validity and convergence are shown under certain conditions.In 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.

外文关键词：

Domain of attractionLyapunov functionspower system transient stabilitysum of squares programming

作者：

Yuqing Lin、Tianhao Wen、Yang Liu、Q.H.Wu

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作者单位：

School of Electric Power Engineering,South China University of Technology,Guangzhou 510640,China

基金：

State Key Program of National Natural Science Foundation of ChinaYoung Elite Scientists Sponsorship Program by CSEE

项目编号：

U1866210CSEE-YESS-2018007

出版年：

2024

DOI：

10.17775/CSEEJPES.2022.07620

中国电机工程学会电力与能源系统学报(英文版)

中国电机工程学会

中国电机工程学会电力与能源系统学报(英文版)

CSTPCDEI

ISSN：2096-0042

年,卷(期)：2024.10(5)