A General Criterion of Interval Time-varying Delay Power System Stability Based on Interval Fragment

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• 英文论文题名：A General Criterion of Interval Time-varying Delay Power System Stability Based on Interval Fragment
• 论文作者：Le Feng ; Xiangjie Liu ; Yongpeng Zhang
• 英文论文作者：Le Feng ; Xiangjie Liu ; Yongpeng Zhang ; The State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources ; North China Electric Power University ; Dept of Engineering Technology ; Prairie View A&M University
• 年：2017
• 作者机构：The State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University;Dept of Engineering Technology,Prairie View A&M University;
• 英文论文关键词：Power System ; Time-varying Delay System ; Stability ; Delay segment ; LMI
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O175
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：253k
• 原文格式：D
• 会议级别：全国

摘要

The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based on the idea of time-delay segment. And a general Lyapunov functional formula is constructed.The information on the bound of the delay is fully exploited. A general sufficient condition is derived with less conservative for the system asymptotic stability. Different methods are used comprehensive during the calculation process of the functional derivative, such as the piecewise analysis, the convex combination technique and integral inequality. Analyzing WSCC 3-machine 9-bus system indicate that the delay stability margin is less conservative than the results in the other literature and verify the effectiveness of the stability criterion.
The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based on the idea of time-delay segment. And a general Lyapunov functional formula is constructed.The information on the bound of the delay is fully exploited. A general sufficient condition is derived with less conservative for the system asymptotic stability. Different methods are used comprehensive during the calculation process of the functional derivative, such as the piecewise analysis, the convex combination technique and integral inequality. Analyzing WSCC 3-machine 9-bus system indicate that the delay stability margin is less conservative than the results in the other literature and verify the effectiveness of the stability criterion.

引文

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