SPWM-H桥逆变器的非线性动力学行为研究  

Study on Nonlinear Dynamic Behaviors in SPWM-H Bridge Inverter

作　　者：吴荣华 江伟[1] WU Rong-hua;JIANG Wei(Jiangxi Engineering Research Center of Process and Equipment for New Energy,East China University of Technology,Nanchang 330013,China)

机构地区：[1]东华理工大学江西省新能源工艺与装备工程技术研究中心,南昌330013

出　　处：《内蒙古大学学报（自然科学版）》2018年第6期657-666,共10页Journal of Inner Mongolia University：Natural Science Edition

基　　金：江西省科技计划项目(20151BBA10011);江西省教育厅科技项目(171509;171510;181505);江西省新能源工艺及装备工程技术研究中心开放基金(JXNE2017-07);2017抚州市科技计划项目(技术创新引导项目14)

摘　　要：研究了SPWM-H桥逆变器的非线性动力学行为.运用频闪映射理论建立了系统在电流闭环比例控制下的一阶离散模型;采用功率谱图、折叠图、时域图、频闪图、分岔图和Lyapunov指数谱等数值仿真方法,详细分析了比例系数k和开关频率fS对系统性能的影响;利用分岔图描述了逆变器分别随输入电压E、负载电感L与电阻R等外部参数变化时所表现的非线性动力学行为.通过仿真绘制出了系统的稳定运行参数域,最后运用Jacobian矩阵法理论分析了系统稳定性变化的本质原因,数值仿真结果与理论分析相一致.研究表明,该逆变器中存在分岔与混沌现象,合理选择电路参数才能保证其运行稳定.The nonlinear dynamic behaviors in the SPWM-H bridge inverter is studied. The stroboscopic mapping theory is adopted to establish the one-dimensional discrete model under current closed-loop proportional control. Effects of proportional coefficient k and switching frequency fs on system performance are analyzed in detail by using the numerical simulation methods such as power spectrum, folding chart, time-domain diagram, stroboscopic graph, bifurcation diagram, and Lyapunov index spectrum. The nonlinear dynamic behavior in the inverter caused by the variation of other circuit parameters like input voltage E, load inductance L, and resistance R is described with bifurcation diagrams. The steady parameter area is drawn by simulations. Lastly, the Jacobian matrix method is used to analyze the essential reason of the system stability change. The results of numerical simulations are consistent with the theoretical analysis. The research shows that there are the bifurcations and chaos in the inverter and reasonable selection of circuit parameters can ensure its stable operation.

关 键 词：SPWM-H桥逆变器 离散迭代映射 分岔 混沌 

分 类 号：TM464[电气工程—电器]