基于时滞依赖矩阵泛函的变时滞电力系统稳定性分析

吴嘉欣; 费树岷; 钱伟

doi:10.7500/AEPS20190216003

您当前的位置：

首页 >

文章列表页 >

基于时滞依赖矩阵泛函的变时滞电力系统稳定性分析

学术研究 | 更新时间：2020-07-14

- 基于时滞依赖矩阵泛函的变时滞电力系统稳定性分析
- Analysis on Power Systems Stability with Time-varying Delay Based on Delay-dependent Matrix Functional
- 电力系统自动化 2020年44卷第1期页码：53-58
- 作者机构：
  
  1. 河南理工大学电气工程与自动化学院,河南省焦作市 454000
  2. 东南大学自动化学院,江苏省南京市 210096
- 作者简介：
  
  钱伟(1978—),男,通信作者,教授,博士生导师,主要研究方向:鲁棒控制、智能控制等。E-mail：qwei@hpu.edu.cn
  吴嘉欣(1992—),女,硕士研究生,主要研究方向:电力系统分析与控制。E-mail：wujiaxinhpu@163.com
  费树岷(1961—),男,教授,博士生导师,主要研究方向:非线性系统分析与控制。E-mail：smfei@seu.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(61573130);河南省创新型科技团队资助项目(CXTD2016054)
- DOI：10.7500/AEPS20190216003
  中图分类号：
- 收稿日期：2019-02-16，
  
  修回日期：2010-05-13，
  
  网络出版日期：2019-09-03，
  
  纸质出版日期：2020-01-10
- 稿件说明：
移动端阅览
钱伟,吴嘉欣,费树岷.基于时滞依赖矩阵泛函的变时滞电力系统稳定性分析[J].电力系统自动化,2020,44(01):53-58.

QIAN Wei,WU Jiaxin,FEI Shumin.Analysis on Power Systems Stability with Time-varying Delay Based on Delay-dependent Matrix Functional[J].Automation of Electric Power Systems,2020,44(01):53-58.
钱伟,吴嘉欣,费树岷.基于时滞依赖矩阵泛函的变时滞电力系统稳定性分析[J].电力系统自动化,2020,44(01):53-58. DOI： 10.7500/AEPS20190216003.

QIAN Wei,WU Jiaxin,FEI Shumin.Analysis on Power Systems Stability with Time-varying Delay Based on Delay-dependent Matrix Functional[J].Automation of Electric Power Systems,2020,44(01):53-58. DOI： 10.7500/AEPS20190216003.

摘要

针对大规模互联电力系统中的时滞现象对电力系统稳定运行产生的不可忽略的影响

文中研究区间变时滞影响下电力系统的稳定性问题。首先

充分考虑时滞变化率对电力系统稳定区域的影响

构造一种新的含时滞依赖矩阵的Lyapunov泛函。然后

在解析过程中采用新的积分不等式对时滞分割后的积分项进行处理

得到保守性较小且计算量较少的稳定性判据

扩大了电力系统的稳定运行区域。最后

通过对典型二阶时滞系统、单机无穷大系统、两区四机系统以及负荷频率控制系统进行仿真分析

验证了所提方法的优越性。

Abstract

Aiming at the non-negligible impact of time-delay on the stable operation of large-scale interconnected power system

this paper investigates the stability problem of power system with the influence of interval time-varying delay. Firstly

fully considering the influence of delay derivative on the stable region of power system

a new Lyapunov functional with delay-dependent matrix is constructed. Then

new integral inequality is used to deal with the integral terms after delay segmentation in the analytical process

and the less conservative stability criterion with less variables is obtained

which expands the stable operation region of the power system. Finally

simulations of typical second-order time-delay system

single-machine infinite system

two-area four-machine system and load frequency control system are given to illustrate the effectiveness of the proposed method.

关键词

Keywords

references

程云峰 , 张欣然 , 陆超 , 等 . 广域测量技术在电力系统中的应用研究进展 [J]. 电力系统保护与控制 , 2014 , 42 ( 4 ): 145 - 153 .

CHENG Yunfeng , ZHANG Xinran , LU Chao , et al . Research progress of the application of wide area measurement technology in power system [J]. Power System Protection and Control , 2014 , 42 ( 4 ): 145 - 153 .

KAHROBAEIAN A , MOHAMED Y A R I . Networked-based hybrid distributed power sharing and control for islanded microgrid systems [J]. IEEE Transactions on Power Electronics , 2015 , 30 ( 2 ): 603 - 617 .

周涛 , 陈中 , 戴中坚 , 等 . 计及时滞丢包综合特性的电力系统小干扰稳定分析与控制 [J]. 电测与仪表 , 2019 , 56 ( 9 ): 1 - 7 .

ZHOU Tao , CHEN Zhong , DAI Zhongjian , et al . Small disturbance analysis and control of power system considering comprehensive characteristics of time-delay and data-loss [J]. Electrical Measurement & Instrumentation , 2019 , 56 ( 9 ): 1 - 7 .

刘运花 , 黎雄 , 刘志雄 , 等 . 基于灰色预测的广域电力系统稳定器分布延时补偿设计 [J]. 电力系统自动化 , 2015 , 39 ( 12 ): 44 - 49 .

LIU Yunhua , LI Xiong , LIU Zhixiong , et al . A compensation design for wide-area power system stabilizer distributed time delay based on grey prediction [J]. Automation of Electric Power Systems , 2015 , 39 ( 12 ): 44 - 49 .

盘宏斌 , 欧思程 , 刘林海 , 等 . LCL型并网逆变器数字单环控制延时影响与稳定域分析设计 [J]. 电力系统自动化 , 2016 , 40 ( 6 ): 85 - 90 .

PAN Hongbin , OU Sicheng , LIU Linhai , et al . Influence of delay and stable domain analysis and design based on digital single-loop control of grid-connected inverter with LCL-filter [J]. Automation of Electric Power Systems , 2016 , 40 ( 6 ): 85 - 90 .

LI C T , LI G F , WANG C , et al . Eigenvalue sensitivity and eigenvalue tracing of power systems with inclusion of time delays [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 4 ): 3711 - 3719 .

刘云平 , 王皖东 , 梅平 , 等 . 多区域时滞电力系统稳定判据的优化 [J]. 控制理论与应用 , 2018 , 35 ( 7 ): 994 - 1001 .

LIU Yunping , WANG Wandong , MEI Ping , et al . Optimization of stability criterion for multi-area power system with time delay [J]. Control Theory & Applications , 2018 , 35 ( 7 ): 994 - 1001 .

邵雅宁 , 唐飞 , 刘涤尘 , 等 . 一种适用于WAMS量测数据的系统暂态功角稳定评估方法 [J]. 电力系统保护与控制 , 2015 , 43 ( 6 ): 33 - 39 .

SHAO Yaning , TANG Fei , LIU Dichen , et al . An approach of transient angle stability assessment in power system for WAMS measured data [J]. Power System Protection and Control , 2015 , 43 ( 6 ): 33 - 39 .

YANG B , SUN Y Z . A new wide area damping controller design method considering signal transmission delay to damp interarea oscillations in power system [J]. Journal of Central South University , 2014 , 21 ( 11 ): 4193 - 4198 .

古丽扎提·海拉提 , 王杰 . 多时滞广域测量电力系统稳定分析与协调控制器设计 [J]. 电工技术学报 , 2014 , 29 ( 2 ): 279 - 289 .

GULIZHATI Hailati , WANG Jie . Multiple time delays analysis and coordinated stability control for power system wide area measurement [J]. Transactions of China Electrotechnical Society , 2014 , 29 ( 2 ): 279 - 289 .

LU R Q , WU H Y , BAI J J . New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J]. Journal of the Franklin Institute , 2014 , 351 ( 3 ): 1386 - 1399 .

MILANO F . Small-signal stability analysis of large power systems with inclusion of multiple delays [J]. IEEE Transactions on Power Systems , 2016 , 31 ( 4 ): 3257 - 3266 .

黄柳强 , 郭剑波 , 孙华东 , 等 . 多FACTS广域抗时滞协调控制 [J]. 电力自动化设备 , 2014 , 34 ( 1 ): 37 - 42 .

HUANG Liuqiang , GUO Jianbo , SUN Huadong , et al . Wide-area anti-delay coordinated control among FACTS controllers [J]. Electric Power Automation Equipment , 2014 , 34 ( 1 ): 37 - 42 .

孙国强 , 屠越 , 孙永辉 , 等 . 时变时滞电力系统鲁棒稳定性的改进型判据 [J]. 电力系统自动化 , 2015 , 39 ( 3 ): 59 - 62 .

SUN Guoqiang , TU Yue , SUN Yonghui , et al . An improved robust stability criterion for power systems with time-varying delay [J]. Automation of Electric Power Systems , 2015 , 39 ( 3 ): 59 - 62 .

钱伟 , 蒋鹏冲 , 车凯 . 基于Wirtinger不等式的时变时滞电力系统稳定性分析 [J]. 电力系统保护与控制 , 2016 , 44 ( 23 ): 79 - 85 .

QIAN Wei , JIANG Pengchong , CHE Kai . Stability analysis for power system with time-delay based on Wirtinger inequality [J]. Power System Protection and Control , 2016 , 44 ( 23 ): 79 - 85 .

钱伟 , 蒋鹏冲 . 时滞电力系统带记忆反馈控制方法 [J]. 电网技术 , 2017 , 41 ( 11 ): 3605 - 3611 .

QIAN Wei , JIANG Pengchong . A method of memory feedback control for power system with time-delay [J]. Power System Technology , 2017 , 41 ( 11 ): 3605 - 3611 .

孙永辉 , 李宁 , 卫志农 , 等 . 多时滞不确定电力系统的改进时滞依赖鲁棒稳定判据 [J]. 电力系统自动化 , 2017 , 41 ( 16 ): 117 - 122 .

SUN Yonghui , LI Ning , WEI Zhinong , et al . Improved robust delay-dependent stability criteria for power systems with multiple time delays and uncertain parameters [J]. Automation of Electric Power Systems , 2017 , 41 ( 16 ): 117 - 122 .

XU H T , ZHANG C K , JIANG L , et al . Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional [J]. Applied Mathematical Modelling , 2017 , 45 : 955 - 964 .

JIANG L , YAO W , WU Q H , et al . Delay-dependent stability for load frequency control with constant and time-varying delays [J]. IEEE Transactions on Power Systems , 2012 , 27 ( 2 ): 932 - 941 .

马静 , 李俊臣 , 李益楠 , 等 . 基于改进自由权矩阵与广义特征值的时滞稳定上限计算方法研究 [J]. 电力系统保护与控制 , 2014 , 42 ( 18 ): 1 - 8 .

MA Jing , LI Junchen , LI Yinan , et al . Research on time-delay upper-bound of power system wide-area damping controllers based on improved free-weighting matrices and generalized eigenvalue problem [J]. Power System Protection and Control , 2014 , 42 ( 18 ): 1 - 8 .

李宁 , 孙永辉 , 卫志农 , 等 . 基于Wirtinger不等式的电力系统延时依赖稳定判据 [J]. 电力系统自动化 , 2017 , 41 ( 2 ): 108 - 113 .

LI Ning , SUN Yonghui , WEI Zhinong , et al . Delay-dependent stability criteria for power system based on Wirtinger integral inequality [J]. Automation of Electric Power Systems , 2017 , 41 ( 2 ): 108 - 113 .

厉文秀 . 随机时滞电力系统稳定性分析 [J]. 电力与能源 , 2015 , 36 ( 1 ): 10 - 15 .

LI Wenxiu . Stability analysis for stochastic time delay power system [J]. Power & Energy , 2015 , 36 ( 1 ): 10 - 15 .

LEE T H , PARK J H . Improved stability conditions of time-varying delay systems based on new Lyapunov functionals [J]. Journal of the Franklin Institute , 2018 , 355 ( 3 ): 1176 - 1191 .

PARK M , KWON O , PARK J H , et al . Stability of time-delay systems via Wirtinger-based double integral inequality [J]. Automatica , 2015 , 55 : 204 - 208 .

KWON O M , PARK M J , PARK J H , et al . Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality [J]. Journal of the Franklin Institute , 2014 , 351 ( 12 ): 5386 - 5398 .

SEURET A , GOUAISBAUT F . Wirtinger-based integral inequality: application to time-delay systems [J]. Automatica , 2013 , 49 ( 9 ): 2860 - 2866 .

王蕾 , 董朝宇 , 贾宏杰 , 等 . 电力系统时滞稳定判据保守性差异量化评估方法 [J]. 电力系统自动化 , 2017 , 41 ( 10 ): 22 - 28 .

WANG Lei , DONG Chaoyu , JIA Hongjie , et al . Diversity-based quantitative evaluation method of conservatism of time-delay stability criteria for power systems [J]. Automation of Electric Power Systems , 2017 , 41 ( 10 ): 22 - 28 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

面向电力-交通系统协同运行的建模、求解与应用评述

大扰动下电力系统频率安全概率指标初探

极端天气下电力系统风险管理及弹性提升的市场化机制设计

考虑动态分区可靠性约束的新能源电力系统备用优化模型