基于浸入与不变原理的电力系统混沌振荡分析与控制

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (4) : 142-149.

论文

王定胜，张宏立，王聪，张绍华

作者信息 +

Analysis and control of power system chaotic oscillation based on the immersion and invariance principle

WANG Dingsheng,ZHANG Hongli,WANG Cong,ZHANG Shaohua

Author information +

文章历史 +

摘要

针对电力系统中普遍存在的参数变化引起系统混沌振荡导致系统不稳定问题，提出了一种基于浸入与不变(immersion and invariance ，I&I)原理的自适应反演滑模控制(adaptive backstepping sliding mode control ，ABSMC)算法，以提高电力系统运行稳定性。首先利用电力系统非线性模型，分析无功功率的变化对系统动力学行为的影响。其次融入浸入与不变(I&I)原理，对系统中存在的未知非线性项和外部扰动进行补偿，设计扰动估计自适应律，利用反演原理设计控制器，并通过Lyapunov稳定性理论对所提出的控制方法进行收敛性证明。最后，对系统进行数值仿真实验，结果表明，所提方法可有效辨识出系统的动态扰动，使系统所有状态变量迅速收敛，提高了系统的响应速度。

Abstract

Aiming at the problem of system instability caused by system chaotic oscillation caused by the ubiquitous parameter changes in power systems, an adaptive backstepping sliding mode control (ABSMC) algorithmbased on the principle of immersion and invariance (I&I) is proposed to improve power system operation stability. Firstly, the nonlinear model of power system is used to analyze the influence of reactive power change on system dynamic behavior. Secondly, it integrates the principle of immersion and invariance (I&I) to compensate for the unknown nonlinear term and external disturbance in the system, design the disturbance estimation adaptive law, use the backstepping principle to design the controller, and use the Lyapunov stability theory to analyze the proposed proof of convergence of the control method. Finally, a numerical simulation experiment is performed on the system. The results show that the proposed method can effectively identify the dynamic disturbance of the system, make all the state variables of the system converge quickly, and improve the response speed of the system.

导出引用

王定胜，张宏立，王聪，张绍华. 基于浸入与不变原理的电力系统混沌振荡分析与控制[J]. 振动与冲击, 2022, 41(4): 142-149

WANG Dingsheng,ZHANG Hongli,WANG Cong,ZHANG Shaohua. Analysis and control of power system chaotic oscillation based on the immersion and invariance principle[J]. Journal of Vibration and Shock, 2022, 41(4): 142-149

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