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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
作者:
作者单位:

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

通讯作者:

基金项目:

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)。


Integral Inequality Based Improved Stability Criterion for Power System with Multiple Time Delays
Author:
Affiliation:

1.Key Laboratory of Guangxi Electric Power System Optimization and Energy-saving Technology,Guangxi University, Nanning 530004, China;2.School of Electrical Engineering, Guangxi University, Nanning 530004, China

Fund Project:

This work is supported by National Natural Science Foundation of China (No. 51267001), Guangxi Natural Science Foundation of China (No. 2014GXNSFAA118338) and Guangxi Scientific Research and Technology Development Project (No. 14122006-29).

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    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.

    表 4 保证三机九节点系统渐近稳定的时滞范围Table 4 Delay range guaranteeing asymptotic stability of three-machine nine-node system
    表 3 保证单机无穷大系统渐近稳定的时滞上界Table 3 Upper delay bound for asymptotic stability of single-machine infinite bus system
    表 2 各方法决策变量数及计算时间Table 2 Number of decision variables and calculation time of each method
    表 1 给定τ1时保证式(10)渐近稳定的τ2变化范围Table 1 τ2 variation range guaranteeing asymptotic stability of Eq.(10) with given τ1
    图1 时滞个数和系统阶数增加对决策变量数的影响Fig.1 Influence of number of delays and system orders on number of decision variables
    图2 保证式(10)渐近稳定的时滞范围Fig.2 Delay range guaranteeing asymptotic stability of Eq. (10)
    图3 不同时滞下式(10)小干扰仿真曲线Fig.3 Small disturbance simulation curves of Eq.(10)under different time delays
    图4 不同时滞情况下系统功角变化曲线Fig.4 System power-angle variation curves with different time delays
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引用本文

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(1):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(1):59-66. DOI:10.7500/AEPS20190409005.

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历史
  • 收稿日期:2019-04-09
  • 最后修改日期:2019-07-19
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  • 在线发布日期: 2020-01-04
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