Period-doubling bifurcation in two-stage power factor correction converters using the method of incremental harmonic balance and Floquet theory

doi:10.1088/1674-1056/21/2/020505

Abstract In this paper, period-doubling bifurcation in a two-stage power factor correction converter is analyzed by using the method of incremental harmonic balance (IHB) and Floquet theory. A two-stage power factor correction converter typically employs a cascade configuration of a pre-regulator boost power factor correction converter with average current mode control to achieve a near unity power factor and a tightly regulated post-regulator DC-DC Buck converter with voltage feedback control to regulate the output voltage. Based on the assumption that the tightly regulated post-regulator DC-DC Buck converter is represented as a constant power sink and some other assumptions, the simplified model of the two-stage power factor correction converter is derived and its approximate periodic solution is calculated by the method of IHB. And then, the stability of the system is investigated by using Floquet theory and the stable boundaries are presented on the selected parameter spaces. Finally, some experimental results are given to confirm the effectiveness of the theoretical analysis.

Keywords: two-stage power factor correction converter incremental harmonic balance Floquet theory period-doubling bifurcation

Received: 18 July 2011
Revised: 15 September 2011
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	84.30.Jc	(Power electronics; power supply circuits)
	45.10.Hj	(Perturbation and fractional calculus methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51007068), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201120028), the Fundamental Research Funds for the Central Universities of China, and the State Key Laboratory of Electrical Insulation and Power Equipment of China (Grant No. EIPE10303).

Corresponding Authors: Wang Fa-Qiang,faqwang@mail.xjtu.edu.cn
E-mail: faqwang@mail.xjtu.edu.cn

Cite this article:

Wang Fa-Qiang(王发强), Zhang Hao (张浩), and Ma Xi-Kui(马西奎) Period-doubling bifurcation in two-stage power factor correction converters using the method of incremental harmonic balance and Floquet theory 2012 Chin. Phys. B 21 020505

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Period-doubling bifurcation in two-stage power factor correction converters using the method of incremental harmonic balance and Floquet theory

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