基于改进有限时间的电力系统混沌控制  

Chaotic control of power system based on improved finite time

作　　者：王红君[1] 李淑一 赵辉[1,2,3] 陶纪中 WANG Hongjun;LI Shuyi;ZHAO Hui;TAO Jizhong(Tianjin Key Laboratory of Complex System Control Theory and Application,Tianjin University of Technology,Tianjin 300384,China;School of Electrical and Electronic Engineering,Tianjin University of Technology,Tianjin 300384,China;School of Engineering and Technology,Tianjin Agricultural University,Tianjin 300392,China)

机构地区：[1]天津理工大学天津市复杂系统控制理论与应用重点实验室,天津300384 [2]天津理工大学电气电子工程学院,天津300384 [3]天津农学院工程技术学院,天津300392

出　　处：《天津理工大学学报》2025年第1期64-69,共6页Journal of Tianjin University of Technology

基　　金：天津市自然科学基金重点项目(08JCZDJC18600);天津市教委重点基金项目(2006ZD32)。

摘　　要：在某些特殊条件下,电力系统会受影响产生混沌振荡现象,影响电网的安全稳定运行。比如,电力系统在运行过程中产生过多的无功功率将会导致电压相角偏移,从而进一步引发电力系统混沌振荡现象。通过对电力系统相对电角度和相对角速度的调控和观测,可以实现电力系统稳定性的控制。文中首先对二阶电力系统模型(model of second order power system, MSOPS)进行混沌振荡的动力学分析,综合利用反步法和固定时间控制器等方法,设计了一种改进有限时间(finite-time, FT)的控制器,既实现了对电力系统混沌振荡的抑制又减轻了计算负担、提升系统收敛速度。最后采用MATLAB软件进行数值仿真表明:文中提出的控制策略能够快速抑制电力系统的混沌状态,验证了控制方法的鲁棒性和快速性。Under some special conditions,the power system will be affected to produce chaotic oscillation,which will impact the safe operation and stability of the power grid.For example,the excessive reactive power generated in the operation of power system will lead to voltage phase angle shift,which will further lead to chaotic oscillation of power system.By adjusting and observing the relative electrical angle and relative angular velocity of the power system,the stability of the power system can be controlled.In this paper,firstly,the dynamics analysis of chaotic oscillation of the second order model of power system(MSOPS)is carried out,and a finite-time controller based on the backstepping method and fixed-time(FT)controller is designed,which not only realizes the suppression of chaotic oscillation of power system,but also reduces the computational burden and improves the convergence speed of the system.Finally,numerical simulation by MATLAB shows that the control method proposed in this paper can quickly repress the chaotic state of the power system to the equilibrium state,which verifies the robustness and rapidity of the control method.

关 键 词：电力系统 有限时间 混沌控制 反步法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]