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A cascade power-factor-correction (PFC) converter is a nonlinear system cascaded by a PFC converter and a direct current-direct current (DC-DC) converter. According to the nonlinear model of the cascade PFC converter derived, we simulate the interstage coupling nonlinear dynamical behaviors of the system, and the simulation results are verified experimentally. The results shows that with the decrease of the PFC output capacitance the bifurcation may appear, which results in the change of the DC-DC output voltage. Likewise, the dynamical behavior of the PFC stage may change with DC-DC load resistance. When the duty ratio of the DC-DC stage becomes saturated, the coupling process between the PFC stage and the DC-DC stage is very complicated.
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Keywords:
- cascade /
- power-factor-correction /
- coupling /
- nonlinear
[1] ［1］Imula J I, Sugie T, Yoshikawa T 1994 IEEE Trans. Autom. Control 39 1084
[2] ［2］Panteley E, Loria A 2001 Automatica 37 453
[3] ［3］Sepulchre R, Arcak M, Teel A R 2002 IEEE Trans. Autom. Control 47 521
[4] ［4］Li S H, Tian Y P 2007 Int. J. Control 80 646
[5] ［5］Ding S H, Li S H, Li Q 2008 Acta Autom. Sin. 34 1268 (in Chinese) ［丁世宏、 李世华、 李奇 2008 自动化学报 34 1268］
[6] ［6］Orabi M, Ninomiya T 2003 IEEE Trans. Ind. Electron. 50 1116
[7] ［7］Dranga O, Tse C K, Iu H H C 2003 Int. J. Bifur. Chaos 13 3107
[8] ［8］Zhang H, Ma X K, Xue B L, Liu W Z 2005 Chaos Solitons Fract. 23 431
[9] ［9］Ma X K, Liu W Z, Zhang H 2005 Proc. Chin. Soc. Electr. Eng. 25 61 (in Chinese)［马西奎、 刘伟增、 张浩 2005 中国电机工程学报 25 61］
[10] ］Wong S, Tse C K, Orabi M, Ninomiya T 2006 IEEE Trans. Circ. Syst. Ⅰ 53 454
[11] ］Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theory Appl. 34 251
[12] ］Ren H P 2006 Acta Electron. Sin. 34 784 (in Chinese) ［任海鹏 2006 电子学报 34 784］
[13] ］Zou J L, Ma X K 2008 Acta Phys. Sin. 57 720 (in Chinese) ［邹建龙、 马西奎 2008 57 720］
[14] ］Dai D, Li S N, Ma X K, Tse C K 2007 IEEE Trans. Circ. Syst. Ⅰ 54 1724
[15] ］Zou J L, Ma X K, Du C Q 2009 IEEE Trans. Circ. Syst. Ⅱ 56 230
[16] ］Hamill D C, Jefferies D J 1988 IEEE Trans. Circ. Syst. Ⅰ35 1059
[17] ］Tse C K 1994 IEEE Trans. Circ. Syst. Ⅱ 42 16
[18] ］Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electron.13 252
[19] ］Zhang B, Qu Y 2003 Proc. Chin. Soc. Electr. Eng. 23 99 (in Chinese)［张波、 曲颖 2003 中国电机工程学报 23 99］
[20] ］Luo X S, Wang B H, Chen G R, Quan H J, Fang J Q, Zou Y L, Jiang P Q 2003 Acta Phys. Sin. 52 12 (in Chinese) ［罗晓曙、 汪秉宏、 陈关荣、 全宏俊、 方锦清、 邹艳丽、 蒋品群 2003 52 12］
[21] ］Zhou Y F, Tse C K, Qiu S S, Chen J N 2005 Chin. Phys. 14 61
[22] ］Li M, Ma X K, Dai D, Zhang H 2005 Acta Phys. Sin. 54 1084 (in Chinese) ［李明、 马西奎、 戴栋、 张浩 2005 54 1084］
[23] ］Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) ［杨汝、 张波 2006 55 5667］
[24] ］Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) ［卢伟国、 周雒维、 罗全明、 杜雄 2007 56 6275］
[25] ］Wang S B, Zhou Y F, Chen J N, Jiang X D 2008 Proc. Chin. Soc. Electr. Eng. 28 26 (in Chinese) ［王诗兵、 周宇飞、 陈军宁、 姜学东 2008 中国电机工程学报 28 26］
[26] ］Wang X M, Zhang B, Qiu D Y 2008 Acta Phys. Sin. 57 2728 (in Chinese) ［王学梅、 张波、 丘东元 2008 57 2728］
[27] ］Yang X 2004 Switching Power Supply Technology (Beijing: China Machine Press) p96 (in Chinese) ［杨旭 2004 开关电源技术 (北京： 机械工业出版社) 第96页］
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[1] ［1］Imula J I, Sugie T, Yoshikawa T 1994 IEEE Trans. Autom. Control 39 1084
[2] ［2］Panteley E, Loria A 2001 Automatica 37 453
[3] ［3］Sepulchre R, Arcak M, Teel A R 2002 IEEE Trans. Autom. Control 47 521
[4] ［4］Li S H, Tian Y P 2007 Int. J. Control 80 646
[5] ［5］Ding S H, Li S H, Li Q 2008 Acta Autom. Sin. 34 1268 (in Chinese) ［丁世宏、 李世华、 李奇 2008 自动化学报 34 1268］
[6] ［6］Orabi M, Ninomiya T 2003 IEEE Trans. Ind. Electron. 50 1116
[7] ［7］Dranga O, Tse C K, Iu H H C 2003 Int. J. Bifur. Chaos 13 3107
[8] ［8］Zhang H, Ma X K, Xue B L, Liu W Z 2005 Chaos Solitons Fract. 23 431
[9] ［9］Ma X K, Liu W Z, Zhang H 2005 Proc. Chin. Soc. Electr. Eng. 25 61 (in Chinese)［马西奎、 刘伟增、 张浩 2005 中国电机工程学报 25 61］
[10] ］Wong S, Tse C K, Orabi M, Ninomiya T 2006 IEEE Trans. Circ. Syst. Ⅰ 53 454
[11] ］Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theory Appl. 34 251
[12] ］Ren H P 2006 Acta Electron. Sin. 34 784 (in Chinese) ［任海鹏 2006 电子学报 34 784］
[13] ］Zou J L, Ma X K 2008 Acta Phys. Sin. 57 720 (in Chinese) ［邹建龙、 马西奎 2008 57 720］
[14] ］Dai D, Li S N, Ma X K, Tse C K 2007 IEEE Trans. Circ. Syst. Ⅰ 54 1724
[15] ］Zou J L, Ma X K, Du C Q 2009 IEEE Trans. Circ. Syst. Ⅱ 56 230
[16] ］Hamill D C, Jefferies D J 1988 IEEE Trans. Circ. Syst. Ⅰ35 1059
[17] ］Tse C K 1994 IEEE Trans. Circ. Syst. Ⅱ 42 16
[18] ］Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electron.13 252
[19] ］Zhang B, Qu Y 2003 Proc. Chin. Soc. Electr. Eng. 23 99 (in Chinese)［张波、 曲颖 2003 中国电机工程学报 23 99］
[20] ］Luo X S, Wang B H, Chen G R, Quan H J, Fang J Q, Zou Y L, Jiang P Q 2003 Acta Phys. Sin. 52 12 (in Chinese) ［罗晓曙、 汪秉宏、 陈关荣、 全宏俊、 方锦清、 邹艳丽、 蒋品群 2003 52 12］
[21] ］Zhou Y F, Tse C K, Qiu S S, Chen J N 2005 Chin. Phys. 14 61
[22] ］Li M, Ma X K, Dai D, Zhang H 2005 Acta Phys. Sin. 54 1084 (in Chinese) ［李明、 马西奎、 戴栋、 张浩 2005 54 1084］
[23] ］Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) ［杨汝、 张波 2006 55 5667］
[24] ］Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) ［卢伟国、 周雒维、 罗全明、 杜雄 2007 56 6275］
[25] ］Wang S B, Zhou Y F, Chen J N, Jiang X D 2008 Proc. Chin. Soc. Electr. Eng. 28 26 (in Chinese) ［王诗兵、 周宇飞、 陈军宁、 姜学东 2008 中国电机工程学报 28 26］
[26] ］Wang X M, Zhang B, Qiu D Y 2008 Acta Phys. Sin. 57 2728 (in Chinese) ［王学梅、 张波、 丘东元 2008 57 2728］
[27] ］Yang X 2004 Switching Power Supply Technology (Beijing: China Machine Press) p96 (in Chinese) ［杨旭 2004 开关电源技术 (北京： 机械工业出版社) 第96页］
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