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电力系统改进时滞依赖型鲁棒稳定判据

李晓萌 贾宏杰

电力系统及其自动化学报2018,Vol.30Issue(4):114-120,7.
电力系统及其自动化学报2018,Vol.30Issue(4):114-120,7.DOI:10.3969/j.issn.1003-8930.2018.04.018

电力系统改进时滞依赖型鲁棒稳定判据

Improved Time-delay-dependent Robust Stability Criteria for Power System

李晓萌 1贾宏杰1

作者信息

  • 1. 天津大学智能电网教育部重点实验室,天津300072
  • 折叠

摘要

Abstract

Due to the limitation of communication links and the wide range of transportation,time delays arise from the collection and transmission of signals in a wide-area measurement system.In this paper,an improved Lyapunov robust stability criterion for the power system with uncertain time-delays is presented.First,according to the definition of state trajectory,state variables are defined as the sum of linear function and the error function with respect to the linear part in the corresponding integral interval,such that the maximum value of the quadratic integral term in the derivative of Lyapunov functional is obtained.Then,with the combination of the"delay-partitioning"theory,an asymptotic robust stability criterion for the power system with one single time-delay is derived,which is further extended to the power sys?tem with multiple time-delays.Finally,a typical second-order delay system,a single-generator infinite-bus system,and a WSCC 3-generator 9-node system are employed to analyze the maximum delay margin that the time-delay system with uncertainties can sustain.The results demonstrate that by using the proposed method,the conservation of stability crite?ria is improved with acceptable calculation efficiency.

关键词

Lyapunov方法/线性矩阵不等式/时滞依赖型/鲁棒稳定判据/电力系统

Key words

Lyapunov method/linear matrix inequality/delay-dependent/robust stability criteria/power system

分类

信息技术与安全科学

引用本文复制引用

李晓萌,贾宏杰..电力系统改进时滞依赖型鲁棒稳定判据[J].电力系统及其自动化学报,2018,30(4):114-120,7.

基金项目

国家自然科学基金资助项目(51277128) (51277128)

国家高技术研究发展计划(863计划)资助项目(2015AA050403) (863计划)

电力系统及其自动化学报

OA北大核心CSCDCSTPCD

1003-8930

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