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

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20505-020505.doi: 10.1088/1674-1056/21/2/020505

王发强,张浩,马西奎

收稿日期:2011-07-18 修回日期:2011-09-15 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 王发强,faqwang@mail.xjtu.edu.cn E-mail:faqwang@mail.xjtu.edu.cn

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

Wang Fa-Qiang(王发强)^†, Zhang Hao (张浩), and Ma Xi-Kui(马西奎)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2011-07-18 Revised:2011-09-15 Online:2012-01-30 Published:2012-01-30
Contact: Wang Fa-Qiang,faqwang@mail.xjtu.edu.cn E-mail:faqwang@mail.xjtu.edu.cn
Supported by:
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).

摘要/Abstract

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.

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

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

84.30.Jc (Power electronics; power supply circuits) 45.10.Hj (Perturbation and fractional calculus methods)

王发强, 张浩, 马西奎. [J]. 中国物理B, 2012, 21(2): 20505-020505.

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[J]. Chin. Phys. B, 2012, 21(2): 20505-020505.

参考文献 29

[1]	Tse C K 2003 Int. J. Circ. Theor. Appl. 31 157
[2]	Ki S K, Cheng D K W and Lu D D C 2008 IET Power Electron. 1 72
[3]	Ren H P, Liu D 2005 Chin. Phys. 14 1352
[4]	Wang F Q, Zhang H, Ma X K and Li X M 2009 Acta Phys. Sin. 58 6838 (In Chinese)
[5]	Rustom K and Batarseh I 2003 IEEE Int. Conf. Industr. Technol. December 10-12, 2003, Maribor, Slovenia, Vol. 2, pp. 1089-1095
[6]	Lee K Y and Lai Y S 2009 IET Power Electron. 2 625
[7]	Neba Y, Ishizaka K and Itoh R 2010 IET Power Electron. 3 176
[8]	Dranga O, Tse C K, Iu H H C and Nagy I 2003 Int. J. Bifur. Chaos 13 3107
[9]	EI Aroudi A, Martinez-Salamero L, Orabi M and Ninomiya T 2005 IEEE Int. Symposium Circ. Sys. May 23-26, 2005, Kobe, Japan, Vol. 3, pp. 2835-2838
[10]	Zhang H, Ma X K, Xue B L and Liu W Z 2005 Chaos, Solitons and Fractals 23 431
[11]	Iu H H C, Zhou Y F and Tse C K 2003 Int. J. Circ. Theor. Appl. 31 611
[12]	Orabi M and Ninomiya T 2003 IEEE Trans. Ind. Electron. 50 1116
[13]	Mazumder S K, Nayfeh A H and Boroyevich D 2003 IEEE Trans. Power Electron. 18 1063
[14]	Wong S C, Tse C K, Orabi M and Ninomiya T 2006 IEEE Trans. Cir. Sys.-I 53 454
[15]	EI Aroudi A, Orabi M and Martinez-salamero L 2008 Int. J. Bifur. Chaos 18 3073
[16]	Wu X Q, Tse C K, Dranga O and Lu J N 2006 IEEE Trans. Circ. Sys.-I 53 204
[17]	Dai D, Li S N, Ma X K and Tse C K 2007 IEEE Trans. Circ. Sys.-I 54 1724
[18]	Orabi M and Ninomiya T 2004 IEICE Trans. Commun. E 87-B 3506
[19]	Dranga O, Chu G, Tse C K and Wong S C 2006 Proc. 37th IEEE Power Electron. Spec. Conf. June 18-22, 2006, Jeju, Korea, pp. 594-598
[20]	Chu G, Tse C K and Wong S C 2009 IEEE Trans. Power Electron. 24 469
[21]	Orabi M, Haroon R and Youssef M 2008 Proc. IEEE Appl. Power Electron. Conf. Exposition February 24-28, 2008, Austin, Texas, USA, pp. 1389-1395
[22]	Lau S L and Cheung Y K 1981 ASME J. Appl. Mech. 48 959
[23]	Ge Z M and Chen H H 1997 J. Sound Vib. 200 121
[24]	Raghothama A and Narayanan S 1999 J. Sound Vib. 226 469
[25]	Raghothama A and Narayanan S 2000 Ocean Engineering 27 1087
[26]	Xu L, Lu M W and Cao Q 2002 Phys. Lett. A 301 65
[27]	Shen J H, Lin K C, Chen S H and Sze K Y 2008 Nonlinear Dyn. 52 403
[28]	Todd P C 1999 Unitrode Product and Applications Handbook (Austin: Texas Instruments Incorporated) U-134 p. 3-269
[29]	Itovich G R and Moiola J L 2006 Chaos, Solitons and Fractals 27 647

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

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