基于积分不等式多时滞电力系统的改进稳定判据

李啸骢; 王夏明

doi:10.7500/AEPS20190409005

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基于积分不等式多时滞电力系统的改进稳定判据

学术研究 | 更新时间：2020-07-14

- 基于积分不等式多时滞电力系统的改进稳定判据
- Integral Inequality Based Improved Stability Criterion for Power System with Multiple Time Delays
- 电力系统自动化 2020年44卷第1期页码：59-66
- 作者机构：
  
  1. 广西电力系统最优化与节能技术重点实验室（广西大学），广西壮族自治区南宁市 530004
  2. 广西大学电气工程学院，广西壮族自治区南宁市 530004
- 作者简介：
  
  李啸骢(1959—)，男，通信作者，博士，教授，主要研究方向：控制系统计算机辅助设计、电力系统动态仿真及计算机实时控制、电力系统分析与控制。E-mail：lhtlht@gxu.edu.cn
  王夏明(1994—)，男，硕士研究生，主要研究方向：时滞电力系统稳定分析与控制。E-mail：Only_WXM@163.com
- 基金信息：
  
  国家自然科学基金资助项目(51267001);广西自然科学基金资助项目(2014GXNSFAA118338);广西科学研究与技术开发计划资助项目(14122006-29)
- DOI：10.7500/AEPS20190409005
  中图分类号：
- 收稿日期：2019-04-09，
  
  修回日期：2019-07-19，
  
  网络出版日期：2019-10-21，
  
  纸质出版日期：2020-01-10
- 稿件说明：
移动端阅览
李啸骢,王夏明.基于积分不等式多时滞电力系统的改进稳定判据[J].电力系统自动化,2020,44(01):59-66.

LI Xiaocong,WANG Xiaming.Integral Inequality Based Improved Stability Criterion for Power System with Multiple Time Delays[J].Automation of Electric Power Systems,2020,44(01):59-66.
李啸骢,王夏明.基于积分不等式多时滞电力系统的改进稳定判据[J].电力系统自动化,2020,44(01):59-66. DOI： 10.7500/AEPS20190409005.

LI Xiaocong,WANG Xiaming.Integral Inequality Based Improved Stability Criterion for Power System with Multiple Time Delays[J].Automation of Electric Power Systems,2020,44(01):59-66. DOI： 10.7500/AEPS20190409005.

摘要

针对互联的广域电力系统，考虑多条回路存在传输时滞，建立多时滞电力系统模型，然后构造更优的Lyapunov-Krasovskii泛函，利用辅助函数积分不等式界定泛函导数中的积分项，推导得出多时滞系统的稳定判据。新构造的泛函和辅助函数积分不等式引入了多时滞系统更多的边界信息，获得了更加自由的求解空间，减小了积分界定过程中带来的误差。最后，借助MATLAB软件中的线性矩阵不等式工具箱，应用多种稳定判据分别仿真计算典型二阶时滞系统、单机无穷大系统以及WSCC 3机9节点系统的时滞稳定性。仿真结果表明，文中所提出的稳定判据能得到比已有文献保守性更小的结果，并揭示了系统多个时滞稳定区间，能够更加准确地反映多时滞电力系统的稳定性。

Abstract

For the wide-area interconnected power system

considering there exist transmission delays in multiple loops

a power system model with multiple time delays is established. Then a Lyapunov-Krasovskii functional with higher accuracy is constructed

using the integral inequality of auxiliary function to define the integral term in the functional derivative

the stability criterion of the system with with multiple time delays is derived. The newly constructed functional and integral inequality of auxiliary function introduce more boundary information for the system with multiple time delays

and obtains more free solution space

the error caused by the integral definition process is reduced. Finally

by using the linear matrix inequality toolbox in MATLAB software

the stability of typical second-order time-delay system

single-machine infinite bus system and WSCC three-machine nine-node system are simulated and computed by multiple stability criteria. The simulation results show that the stability criterion proposed in this paper can produce more tighter time delay bounds than those in the existing literatures

several delay stability intervals of the system are also revealed

and can more accurately reflect the stability of power system with multiple time delays.

关键词

Keywords

references

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