H桥正弦逆变器的快变和慢变稳定性及混沌行为研究  

The fast-and slow-scale stabilities and chaotic motion of H-bridge sine inverter

作　　者：王学梅[1,2] 张波[1] 丘东元[1] 

机构地区：[1]华南理工大学电力学院,广州510640 [2]湖南工业大学电气与信息工程学院,株洲412008

出　　处：《物理学报》2009年第4期2248-2254,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60474066);广东省自然科学基金(批准号:8251064101000014);国家高技术研究发展计划(批准号:2007AA05Z229)资助的课题~~

摘　　要：正弦逆变器是一个时变非线性系统,存在快变和慢变两种尺度的稳定性.以比例控制一阶H桥正弦逆变器为例,引入了快变和慢变两种尺度,建立了H桥正弦逆变器的快变和慢变离散模型.针对快变稳定性,提出了折叠图和功率谱分析方法;针对慢变稳定性,提出周期时变非线性离散系统慢变平衡点定义和慢变稳定性定理,指出了慢变不稳定是周期时变系统混沌行为的有效判据.研究表明,所提出的方法能够很好地分析正弦逆变器出现的快变和慢变不稳定现象及混沌行为.Sine inverter is a time varying nonlinear system,for which two scales,namely the fast and slow-scale,can be used to analyses its stability.Based on this,fast-and slow-scale discrete model of H-bridge sine inverter under proportional control are derived respectively.For the fast-scale stability,folded diagram and spectrum analysis are introduced.For the slow-scale stability,slow-scale fixed points and a theorem of slow-scale instability of a discrete-time periodically varying system are proposed.It is shown that slow-scale instability is an effective criterion for chaos motions of discrete-time periodically varying system.Research shows that proposed methods can be used to analyse the fast-and slow-scale instability and chaotic behavior of H-bridge sine inverter.

关 键 词：周期时变离散系统 H桥正弦逆变器 快变不稳定 慢变不稳定 

分 类 号：TM464[电气工程—电器]