电力系统自动化2017，Vol.41Issue(16)：111-116,6.DOI:10.7500/AEPS20161222004
基于权值评估的Lyapunov时滞稳定判据改进方法
Method for Improving Efficiency of Delay Stability Criterion Based on Weight Value Analysis of Lyapunov Functional Items
摘要
Abstract
The delay stability criterion,based on the Lyapunov stability theory and linear matrix inequality (LMI),is widely used in stability analysis of the power system with time delays.However,it is hardly applicable to high dimensional systems where time consumption is high and computation efficiency low.The number of variables to be calculated increases by a factor of square as the dimension of the state variable increases.For this reason,a numerical calculating method is used to study the time varying properties of each item of Lyapunov functions to obtain the weight of each item.Then a delay stability criteria improved method is proposed,in which redundant items of the functions are identified and deleted to improve the efficiency of the stability criterion without increasing its conservatism.Finally,the delay stability criteria improved method is used for two criteria in a typical second-order-system and a 3-machine 9-bus system with two time delays to verify the efficiency of the proposed method.关键词
Lyapunov函数简化/时滞稳定判据/计算效率/权值/电力系统稳定Key words
Lyapunov functional simplification/delay stability criterion/calculation efficiency/weights/power systems stability引用本文复制引用
王蕾,贾宏杰,董朝宇..基于权值评估的Lyapunov时滞稳定判据改进方法[J].电力系统自动化,2017,41(16):111-116,6.基金项目
国家自然科学基金资助项目(51625702).This work is supported by National Natural Science Foundation of China (No.51625702). （51625702）
