时变时滞电力系统鲁棒镇定控制器设计

doi:10.11985/2021.04.022

电气工程学报 ›› 2021, Vol. 16 ›› Issue (4): 174-182.doi: 10.11985/2021.04.022

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时变时滞电力系统鲁棒镇定控制器设计

沈力¹(), 沈媛²(), 周浩²()

1.江苏省规划设计集团有限公司市政规划与工程设计院南京 210036
2.中国电子科技集团公司第二十八研究所南京 210007

收稿日期:2020-12-28 出版日期:2021-12-25 发布日期:2022-02-10
通讯作者: 沈媛 E-mail:18219920108@163.com;shenyuan1989@126.com;563361587@qq.com
作者简介:* 沈媛,女,1989年生,硕士,工程师。主要研究方向为信息系统总体与集成技术。E-mail： shenyuan1989@126.com
沈力,男,1992年生,硕士,工程师。主要研究方向为电力系统稳定性、市政电力规划。E-mail： 18219920108@163.com
周浩,男,1989年生,硕士,工程师。主要研究方向为信号与信息系统、系统集成方向。E-mail： 563361587@qq.com

Robust Stabilization Controller Design for Power Systems with Time Varying Delay

SHEN Li¹(), SHEN Yuan²(), ZHOU Hao²()

1. Municipal Planning and Engineering Design Institute of Jiangsu Provincial Planning and Design Group, Nanjing 210036
2. The 28^th Research Institute of China Electronics Technology Group Corporation, Nanjing 210007

Received:2020-12-28 Online:2021-12-25 Published:2022-02-10
Contact: SHEN Yuan E-mail:18219920108@163.com;shenyuan1989@126.com;563361587@qq.com

摘要/Abstract

摘要：

为考虑时滞系统的不确定性,在常时滞电力系统模型基础上建立不确定时滞电力系统模型。构建新的增广型Lyapunov-Krasovskii泛函,引用Bessel-Legendre不等式方法处理所提Lyapunov-Krasovskii泛函导数中的积分项,计算得到不确定时滞稳定判据。通过和现有文献对比,验证所提方法的优越性。根据得到的稳定判据,应用参数调整法及线性矩阵不等式技术设计出无记忆状态反馈控制器和有记忆状态反馈控制器,通过典型二阶时滞系统、单机无穷大系统分析验证了两种控制器的镇定作用。

关键词: 电力系统, 时变时滞, 鲁棒镇定控制器

Abstract:

For the uncertain time-delay systems, the uncertain time-delay power system model is established based on the constant time-delay power system model. By using Bessel-Legendre inequality method to deal with the integral term in the derivative of the new augmented Lyapunov-Krasovskii functional, an uncertain delay stability criterion with less conservativeness is obtained. Compared with the existing literature, the superiority of the proposed method is verified. According to the obtained stability criteria, the memoryless feedback controller and the feedback controller with memory are designed by parameter adjustment method and LMI technology. The stabilization of the controllers is verified by the analysis of the typical second-order delay system and the single machine infinite bus system.

Key words: Power systems, time-varying delay, robust controller

中图分类号:

TM712

沈力, 沈媛, 周浩. 时变时滞电力系统鲁棒镇定控制器设计[J]. 电气工程学报, 2021, 16(4): 174-182.

SHEN Li, SHEN Yuan, ZHOU Hao. Robust Stabilization Controller Design for Power Systems with Time Varying Delay[J]. Journal of Electrical Engineering, 2021, 16(4): 174-182.

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参考文献 23

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时滞h/s	控制器参数	数值
0.100	K₁	${10^3} \times \left[ {\begin{array}{*{20}{c}}{ - 1.498\;6}&{0.017\;5}&{0.010\;0}&{ - 7.743\;1}\end{array}} \right]$
0.010	K₁	$\left[ {\begin{array}{*{20}{c}}{ - 541.122\;9}&{ - 0.100\;2}&{0.880\;5}&{ - 450.324\;7}\end{array}} \right]$
0.001	K₁	$\left[ {\begin{array}{*{20}{c}}{ - 636.191\;4}&{ - 0.849\;8}&{0.943\;8}&{ - 407.389\;5}\end{array}} \right]$

时滞h/s	控制器参数	数值
0.1	K₁ K₂	${10^6} \times \left[ {\begin{array}{*{20}{c}}{ - 0.754\;2}&{0.021\;8}&{0.010\;3}&{ - 9.158\;3}\\{ - 0.000\;4}&0&0&{ - 1.605\;1}\end{array}} \right]$
0.01	K₁ K₂	$\left[ {\begin{array}{*{20}{c}}{ - 628.093\;4}&{ - 0.599\;8}&{0.892\;7}&{ - 397.952\;2}\\{\;43.820\;5}&{0.172\;5}&{0.037\;5}&{ - 31.790\;5}\end{array}} \right]$
0.001	K₁ K₂	${10^3} \times \left[ {\begin{array}{*{20}{c}}{ - 1.140\;4}&{ - 0.002\;3}&{ - 0.000\;6}&{ - 0.547\;5}\\{500.967\;2}&{1.432\;0}&{1.584\;7}&{139.261\;9}\end{array}} \right]$

时变时滞电力系统鲁棒镇定控制器设计

Robust Stabilization Controller Design for Power Systems with Time Varying Delay

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