基于H_∞控制的单机无穷大电力系统输出反馈控制器设计
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摘要
为了采取有效控制策略以提高电力系统的稳定性,研究了基于单机无穷大(single-machine infinite-bus,SMIB)电力系统的H_∞输出反馈控制器设计问题。首先,基于电力系统基本方程建立了SMIB电力系统状态空间数学模型;接着,研究了输出反馈H_∞控制问题求解方法;最后,基于具体的SMIB控制对象设计了H_∞输出反馈控制器。实例仿真结果表明,在系统受到脉冲扰动时,加入次优H_∞控制器的SMIB电力系统相对于未施加控制的电力系统其振荡幅度峰值从0. 177降为0. 002,响应达到稳态的时间从3 s减小到2 s,说明系统的稳定性更高。
In order to adopt effective control strategy to improve power system stability,the design problem of H_∞output feedback controller based on single-machine infinite-bus(SMIB) power system is discussed. First,the state space mathematical model of SMIB power system is studied and established based on fundamental equations of power system. Then,the solving method of output feedback H_∞control problem is studied. Finally,the H_∞output feedback controller is designed based on a specific SMIB power system control object. The results of a simulation example show that when the system is subjected to impulsive disturbance,the oscillation amplitude peak of the SMIB power system with suboptimum H_∞controller decreases from 0. 177 to 0. 002,and the response time drops from 3 s to 2 s for a steady state system by comparing with the uncontrolled power system,which indicates that the system has higher stability.
In order to adopt effective control strategy to improve power system stability,the design problem of H_∞output feedback controller based on single-machine infinite-bus(SMIB) power system is discussed. First,the state space mathematical model of SMIB power system is studied and established based on fundamental equations of power system. Then,the solving method of output feedback H_∞control problem is studied. Finally,the H_∞output feedback controller is designed based on a specific SMIB power system control object. The results of a simulation example show that when the system is subjected to impulsive disturbance,the oscillation amplitude peak of the SMIB power system with suboptimum H_∞controller decreases from 0. 177 to 0. 002,and the response time drops from 3 s to 2 s for a steady state system by comparing with the uncontrolled power system,which indicates that the system has higher stability.
引文
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[3] LI M,CHEN Y. A wide-area dynamic damping controller based on robust H infinity control for wide-area power systems with random delay and packet dropout[J]. IEEE Transactions on Power Systems,2018,33(4):4026-4037.
[4] YU M,SHANG W P,LU H Y. A design method of the wide-area damping controller of the power system considering the communication time-delay based on an iterative identification[J]. International Journal of Electronics,2018,105(9):1551-1567.
[5] MOHAMMADI A,TAVAKOLI S,BARAKATI S M. On power tracking and alleviation by a new controller for fulfillment of the damping and performance requisites for a variable speed wind system:an optimal approach[J]. International Journal of Electrical Power&Energy Systems,2016,75:187-193.
[6] GAO H L,WANG B W,QI H,et al. The design of damping linear optimal excitation controller for power systems[J]. International Journal of Digital Content Technology and its Applications,2012,6(17):67-75.
[7] WERNER H,KORBA P,YANG T C. Robust tuning of power system stabilizers using LMI techniques[J]. IEEE Transactions on Control Systems Technology,2003,11(1):147-152.
[8] SINGH V P,KISHOR N,SAMUEL P. Improved load frequency control of power system using LMI based PID approach[J]. Journal of the Franklin Institute-Engineering and Applied Mathematics,2017,354(15):6805-6830.
[9] OJAGHI P,RAHMANI M. LMI-based robust predictive load frequency control for power systems with communication delays[J]. IEEE Transactions on Power Systems,2017,32(5):4091-4100.
[10]孙丽颖.基于backstepping方法的电力系统非线性鲁棒自适应控制设计[D].沈阳:东北大学,2009.
[11] HU W,MEI S W,LU Q. Nonlinear adaptive decentralized stabilizing control of multimachine systems[J]. Applied Mathematics and Computation,2002,133(3):519-532.
[12] LAHDHIRI T,ALOUANI A T. Design of a robust nonlinear excitation controller for a single machine infinite-bus power system[C]//Proceedings of the Annual Southeastern Symposium on System Theory. Cookeville,USA:IEEE,1997:228-231.
[13]韩英铎,高景德.电力系统最优分散协调控制[M].北京:清华大学出版社,1997.
[14]高红亮.电力系统低频振荡控制技术研究[D].武汉:华中科技大学,2013.
[15]俞立.鲁棒控制-线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.