Abstract：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.
苏玉刚, 唐春森, 王智慧, 孙跃, 呼爱国. 容性负载可控整流电路倍周期分岔行为[J]. 电工技术学报, 2009, 24(7): 81-86.
Su Yugang, Tang Chunsen, Wang Zhihui, Sun Yue, Hu Aiguo. Period-Doubling Bifurcation Behaviors of a Controllable Rectifier With Capacitive Load. Transactions of China Electrotechnical Society, 2009, 24(7): 81-86.
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2009, Vol. 24 
