Period-doubling bifurcation in two-stage power factor correction converters using the method of incremental harmonic balance and Floquet theory |
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Authors: | Wang Fa-Qiang Zhang Hao and Ma Xi-Kui |
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Institution: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xián Jiaotong University, Xián 710049, China;State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xián Jiaotong University, Xián 710049, China;State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xián Jiaotong University, Xián 710049, China |
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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. |
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Keywords: | two-stage power factor correction converter incremental harmonic balance Floquet theory period-doubling bifurcation |
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