四阶电力系统混沌分析与新型滑模控制

Chaotic analysis and new sliding mode control for fourth-order power system

电力系统的混沌现象对电网的安全稳定运行构成了极大威胁,本文研究了含扰动项的四阶电力系统模型的混沌控制问题.首先,利用Lyapunov指数谱及分叉图等分析了参数变化对系统动力学行为的影响规律.然后,基于系统稳定性理论,提出了一种新的将非线性光滑函数作为滑动控制律的反演滑模控制方法,以削弱传统滑动控制律引起的系统抖振.选取不同的函数作为控制目标,采用MATLAB软件进行数值仿真,结果表明:不论目标函数如何改变,控制器都能够使受控电力系统从混沌状态快速稳定至目标轨道,并且有效抑制抖振.

The chaotic phenomenon of power system poses a great threat to the safe and stable operation of power grid,the chaos control of the fourth-order power system model with disturbance term is studied in this paper.Firstly,the influence of parameter changes on the dynamic behavior of the system was analyzed by using Lyapunov exponent spectrum and bifurcation diagram.Then,based on the system stability theory,a new backstepping sliding mode control method,which took the nonlinear smooth function as the sliding control law,was proposed to weaken the system vibration caused by the traditional sliding control law.Selecting different functions as control objective,the numerical simulation was performed by the MATLAB software.The results show that no matter how the objective function changes,and the power system can be quickly transformed from the chaotic state to the objective track by the controller,and effectively suppress the vibration.