基于李雅普诺夫稳定性的微电网分析方法  

Analysis method of micro-grid based on Lyapunov stability

作　　者：马文飞[1] 吴孔平[1] Ma Wenfei;Wu Kongping(School of Electrical and Information Engineering,Anhui University of Science ＆ Technology,Huainan 232001,Anhui,China)

机构地区：[1]安徽理工大学电气与信息工程学院,安徽淮南232001

出　　处：《电测与仪表》2018年第12期27-31,共5页Electrical Measurement & Instrumentation

基　　金：安徽省高校优秀拔尖人才培育资助项目(gxfx ZD2016077);中国博士后科学基金(2016M601993);安徽理工大学研究生创新基金资助项目(2017CX2094)

摘　　要：直流微电网运行稳定性是近几年来微电网研究领域的重点课题之一。针对直流微电网非线性特点,提出了采用李雅普诺夫方法来进行系统稳定性分析。首先,介绍了直流微电网发展背景并对比分析了其他研究成果;其次,建立了直流微电网模型,给出了状态空间方程来表征非线性直流微电网;在此基础上用李雅普诺夫直接法详细分析证明了所搭建系统的稳定性,通过证明过程确定了系统稳定性约束条件;最后,在MATLAB/Simulink环境下对直流微电网模型实例进行仿真,仿真结果与理论分析在平衡点处有较好的一致,证明了所提出的李雅普诺夫方法在直流微电网稳定性分析中的有效性与正确性。The stability of DC micro-grid is one of the key topics in the field of micro-grid research in recent years. In this paper,the Lyapunov method is proposed to analyze the stability of the system for the nonlinear characteristics of DC micro-grid. Firstly,the development background of DC micro-grid is introduced and the other research results are analyzed. Secondly,the control and physical model of DC micro-grid is established,and the state space equation is given to characterize the nonlinear DC micro-grid. On this basis,the stability of the system is proved by the Lyapunov direct method,and the constraint station of the system stability is determined by the proof process. Finally,the DC micro-grid model is simulated in MATLAB/Simulink. The simulation results are in good agreement with the theoretical analysis at the equilibrium point,which proves the validity and correctness of the proposed Lyapunov method in the stability analysis of the DC micro-grid.

关 键 词：直流微电网 非线性 李雅普诺夫稳定性 仿真 

分 类 号：TM910[电气工程—电力电子与电力传动]