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Analysis of coupling nonlinear dynamical behaviors between two stages in a cascade power-factor-correction converter

Zou Jian-Long Ma Xi-Kui

Analysis of coupling nonlinear dynamical behaviors between two stages in a cascade power-factor-correction converter

Zou Jian-Long, Ma Xi-Kui
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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.
    • Funds:
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    [2]Panteley E, Loria A 2001 Automatica 37 453

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    [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]

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    [6]Orabi M, Ninomiya T 2003 IEEE Trans. Ind. Electron. 50 1116

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    [7]Dranga O, Tse C K, Iu H H C 2003 Int. J. Bifur. Chaos 13 3107

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    [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]

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    ]Wong S, Tse C K, Orabi M, Ninomiya T 2006 IEEE Trans. Circ. Syst. Ⅰ 53 454

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    ]Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theory Appl. 34 251

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    ]Ren H P 2006 Acta Electron. Sin. 34 784 (in Chinese) [任海鹏 2006 电子学报 34 784]

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    ]Zou J L, Ma X K 2008 Acta Phys. Sin. 57 720 (in Chinese) [邹建龙、 马西奎 2008 物理学报 57 720]

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    ]Dai D, Li S N, Ma X K, Tse C K 2007 IEEE Trans. Circ. Syst. Ⅰ 54 1724

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    ]Hamill D C, Jefferies D J 1988 IEEE Trans. Circ. Syst. Ⅰ35 1059

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    ]Tse C K 1994 IEEE Trans. Circ. Syst. Ⅱ 42 16

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    ]Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electron.13 252

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    ]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 物理学报 52 12]

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    ]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 物理学报 54 1084]

    [23]

    ]Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) [杨汝、 张波 2006 物理学报 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 物理学报 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 物理学报 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]

  • [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 物理学报 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 物理学报 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 物理学报 54 1084]

    [23]

    ]Yang R, Zhang B 2006 Acta Phys. Sin. 55 5667 (in Chinese) [杨汝、 张波 2006 物理学报 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 物理学报 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 物理学报 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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    [2] LIU XUE-MING, ZHANG MING-DE, SUN XIAO-HAN, LIU LIN. A NOVEL ALL-OPTICAL SWITCH BASED ON THE CASCADING OF SECOND-ORDER NONLINEARITY. Acta Physica Sinica, 2001, 50(2): 287-292. doi: 10.7498/aps.50.287
    [3] Cheng Wei-Bin, Kang Si-Min, Wang Yue-Long, Tang Nan, Guo Ying-Na, Huo Ai-Qing. Fast-scale instability and dynamic parameter resonance of power factor correction Boost converter. Acta Physica Sinica, 2011, 60(2): 020506. doi: 10.7498/aps.60.020506
    [4] Tian Rui-Lan, Wang Wei, Zhang Qi-Chang. Chaotic properties of mechanically and electrically coupled nonlinear dynamical systems. Acta Physica Sinica, 2008, 57(5): 2799-2804. doi: 10.7498/aps.57.2799
    [5] Liu Zhen-Ze, Tian Yan-Tao, Song Yan. The synchronization condition of linearly coupled chaotic system. Acta Physica Sinica, 2006, 55(8): 3945-3949. doi: 10.7498/aps.55.3945
    [6] Wu Run-Heng, Zhang Jian-Wen, Li Jin-Feng. Global attractor of strongly damped nonlinearthermoelastic coupled rod system. Acta Physica Sinica, 2011, 60(7): 070205. doi: 10.7498/aps.60.070205
    [7] Zhong Kai, Yao Jian-Quan, Xu De-Gang, Zhang Hui-Yun, Wang Peng. Theoretical research on cascaded difference frequency generation of terahertz radiation. Acta Physica Sinica, 2011, 60(3): 034210. doi: 10.7498/aps.60.034210
    [8] Wang Guang-Yi, Yuan Fang. Cascade chaos and its dynamic characteristics. Acta Physica Sinica, 2013, 62(2): 020506. doi: 10.7498/aps.62.020506
    [9] Song Chang-Lie, Rao Wen-Xiong, Li Shu-Feng, Li Cheng-Ren. Experimental investigation of photoluminescence spectrum of two erbium-doped glass samples in series. Acta Physica Sinica, 2003, 52(3): 751-755. doi: 10.7498/aps.52.751
    [10] Liu Yong. Phase synchronization of coupling systems. Acta Physica Sinica, 2009, 58(2): 749-755. doi: 10.7498/aps.58.749
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  • Received Date:  29 September 2009
  • Accepted Date:  10 November 2009
  • Published Online:  15 June 2010

Analysis of coupling nonlinear dynamical behaviors between two stages in a cascade power-factor-correction converter

  • 1. 西安交通大学电气工程学院,电力设备电气绝缘国家重点实验室,西安 710049

Abstract: 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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