容性负载可控整流电路倍周期分岔行为  

Period-Doubling Bifurcation Behaviors of a Controllable Rectifier With Capacitive Load

作　　者：苏玉刚[1] 唐春森[1] 王智慧[1] 孙跃[1] 呼爱国 

机构地区：[1]重庆大学自动化学院,重庆400030 [2]奥克兰大学工程学院

出　　处：《电工技术学报》2009年第7期81-86,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(50777071)

摘　　要：针对开关电路的周期分岔非线性行为,本文提出一种基于电路拓扑切换序列的分析方法,并运用该方法对基于双向晶闸管的可控整流调压电路在容性负载情况下的倍周期分岔行为进行了分析。文中采用等效电阻的方法建立了双向晶闸管的数学模型;结合其触发导通条件以及整流桥的导通条件,分段建立了系统状态空间描述,进而建立了系统离散迭代映射模型并进行了实验验证;结合系统分岔图及相图,采用拓扑切换序列方法有效分析出系统同时存在边界碰撞分岔及标准倍周期分岔;进一步阐述了造成这两种分岔的原因。研究结果对分析和设计容性负载可控整流电路具有较好的指导意义,对分析类似开关电路的分岔等非线性行为具有一定的参考价值。A topology switching sequence analyzing （TSSA） method is proposed to study the period-doubling bifurcation behaviors of a triac-based controllable rectifier circuit with capacitive load. The triac is modeled as a nonlinear equivalent resistor. Considering the triggering and conducting conditions of the triac and the conducting condition of the rectifier, a piecewise state space model is set up. Based on that, a discrete iteration mapping model is further developed and verified. Combining with bifurcation diagram and phase portraits of the system, the proposed TSSA method identified the existence of both border collision bifurcation and standard period-doubling bifurcation in the system. The causes of these two type bifurcations are also studied. The results obtained can be used to guide the analysis and design of controllable rectifier circuits with capacitive load. The analysis method is useful for investigating nonlinear bifurcation behaviors in similar switch-mode circuits.

关 键 词：可控整流 容性负载 倍周期分岔 拓扑切换序列方法 

分 类 号：TM13[电气工程—电工理论与新技术]