三相并网逆变器的混杂自动机模型分析

doi:10.16183/j.cnki.jsjtu.2019.03.013

摘要/Abstract

摘要： 针对三相并网逆变器中电流谐波大和发生扰动后系统动态响应时间较长的问题，提出一种基于混杂自动机模型的控制器设计方法，并在此基础上提出了基于有限时间稳定的稳定性分析方法.首先，针对给定的三相逆变器，建立基于开关函数的状态方程；然后，在此基础上根据三相逆变器的工作模态，从适当增加工频周期的切换区间和减小电流谐波的角度建立混杂自动机模型，并将1个工频周期按三相母线电压大小划分为12个区间，从而得到相应的控制规则；最后，根据有限时间稳定的方法对改进后的基于混杂自动机模型的控制器进行稳定性分析.仿真结果与实验结果验证了所提出的自动机模型及其控制器能够有效降低并网电流的谐波畸变率，使其低于 0.56%，并且能够有效增强系统的抗干扰能力.

关键词: 三相逆变器, 电流谐波, 混杂自动机模型, 控制器, 有限时间稳定

Abstract: A new controller design method based on hybrid automaton model is proposed to solve the problem that grid current harmonics is large and the dynamic response time is long after the disturbance happens in the three-phase inverter, and a stability analysis method based on finite time stability is proposed on this basis. First of all, for a certain three-phase inverter, the state equations based on switching function are established. Then, on the basis of the working mode of the three-phase inverter, the hybrid automaton model is established from the angle of changing the switching range of the power frequency cycle and reducing the current harmonics. And the bus voltage is divided into 12 intervals to get the corresponding control rules. Finally, the stability analysis of the improved controller based on the hybrid automaton model is carried out according to the finite time stabilization method. The simulation results verify that the proposed automaton model and its controller can effectively reduce the harmonic distortion rate of the grid current to less than 0.56%. Furthermore, dynamic regulation time can be reduced when disturbance occurs.

Key words: current harmonics, hybrid automata model, controller, finite time stabi-lity, three-phase inverter

中图分类号:

TM 464

李冬辉，郑宏宇，姚乐乐. 三相并网逆变器的混杂自动机模型分析[J]. 上海交通大学学报（自然版）, 2019, 53(3): 348-354.

LI Donghui,ZHENG Hongyu,YAO Lele. Analysis on Hybrid Automata Model of Three-Phase Grid Inverter[J]. Journal of Shanghai Jiaotong University, 2019, 53(3): 348-354.

参考文献

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