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Choosing the current of the front inductor as control object, the discrete time model of single-ended primary-inductor converter (SEPIC) converter working in the discontinuous conduction mode (DCM) is established in this paper, and the stability of the fixed point is analyzed. By studying the phase portrait, power spectrum and bifurcation diagram of the circuitry, a special period-doubling bifurcation phenomenon is found in this circuitry. The circuit experiences period, double period, quadruple period and then double period, quadruple period, finally enters into chaotic condition. The experimental results accord with the simulation results, which confirms that the special period-doubling bifurcation exists in the SEPIC converter working in the DCM.
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Keywords:
- SEPIC converter /
- discontinuous conduction mode /
- period-doubling bifurcation /
- chaos
[1] Aroudi El A, Debbat M, Giral R 2005 International Journal of Bifurcation and Chaos 15 1549
[2] Tse C K 2004 Complex Behavior of Switching Power Converters (Boca Raton: CRC Press LLC) p57
[3] Zhao Y B, Luo X X, Fang J Q, Wang B H 2005 Acta Phys. Sin. 54 5022 (in Chinese) [赵益波, 罗晓曙, 方锦清, 汪秉宏 2005 54 5022]
[4] Zhang B, Qu Y 2003 Proceedings of the CSEE 23 99 (in Chinese) [张波, 曲颖 2003 中国电机工程学报 23 99]
[5] Zhou Y F, Chen J N, Ke D M 2005 Acta Electronica Sinica 33 915 (in Chinese) [周宇飞, 陈军宁, 柯导明 2005 电子学报 33 915]
[6] Liu W Z, Zhang H, Ma X K 2005 Proceedings of the CSEE 25 43 (in Chinese) [刘伟增, 张浩, 马西奎 2005 中国电机工程学报 25 43]
[7] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[8] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[9] Dai D, Tse C K, Ma X K 2006 Chin. Phys. 15 2535
[10] Shen X, Wang H C, Xu J 2010 Electric Machines And Control 14 41 (in Chinese) [沈霞, 王洪诚, 许瑾 2010 电机与控制学报 14 41]
[11] Zhang Y, Gong C Y 2003 Power Supply Technologies And Application 6 605 (in Chinese) [张洋, 龚春英 2003 电源技术应用 6 605]
[12] Liu F, Zhang H, Ma X K 2007 Transactions of China Electrotechnical Society 22 86 (in Chinese) [刘芳, 张浩, 马西奎 2007 电工技术学报 22 86]
[13] Debbat M, Aroudi El A, Grial R, Martinez-Salamero L 2002 IEEE International Conference on industrial Technology Bangkok, Thailand, December 11-14, 2002 p1055
[14] Liu F, Zhang H 2008 Transactions of China Electrotechnical Society 23 54 (in Chinese) [刘芳, 张浩 2008 电工技术学报 23 54]
[15] Liu F 2007 Journal of Xian Jiaotong University 41 1465 (in Chinese) [刘芳 2007 西安交通大学学报 41 1465]
[16] Liu F 2010 Chin. Phys. B 19 080511
[17] Liu F 2008 Chin. Phys. B 17 2394
[18] Wang S B, Zhou Y F, Chen J N, Jiang X D 2008 Proceedings of the CSEE 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]
[19] Jiang X D, Zhou Y F, Chen J N, Wang S B 2008 3rd IEEE Conference on Industrial Electronics and Applications Singapore, June 3-5, 2008 p833
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[1] Aroudi El A, Debbat M, Giral R 2005 International Journal of Bifurcation and Chaos 15 1549
[2] Tse C K 2004 Complex Behavior of Switching Power Converters (Boca Raton: CRC Press LLC) p57
[3] Zhao Y B, Luo X X, Fang J Q, Wang B H 2005 Acta Phys. Sin. 54 5022 (in Chinese) [赵益波, 罗晓曙, 方锦清, 汪秉宏 2005 54 5022]
[4] Zhang B, Qu Y 2003 Proceedings of the CSEE 23 99 (in Chinese) [张波, 曲颖 2003 中国电机工程学报 23 99]
[5] Zhou Y F, Chen J N, Ke D M 2005 Acta Electronica Sinica 33 915 (in Chinese) [周宇飞, 陈军宁, 柯导明 2005 电子学报 33 915]
[6] Liu W Z, Zhang H, Ma X K 2005 Proceedings of the CSEE 25 43 (in Chinese) [刘伟增, 张浩, 马西奎 2005 中国电机工程学报 25 43]
[7] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[8] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[9] Dai D, Tse C K, Ma X K 2006 Chin. Phys. 15 2535
[10] Shen X, Wang H C, Xu J 2010 Electric Machines And Control 14 41 (in Chinese) [沈霞, 王洪诚, 许瑾 2010 电机与控制学报 14 41]
[11] Zhang Y, Gong C Y 2003 Power Supply Technologies And Application 6 605 (in Chinese) [张洋, 龚春英 2003 电源技术应用 6 605]
[12] Liu F, Zhang H, Ma X K 2007 Transactions of China Electrotechnical Society 22 86 (in Chinese) [刘芳, 张浩, 马西奎 2007 电工技术学报 22 86]
[13] Debbat M, Aroudi El A, Grial R, Martinez-Salamero L 2002 IEEE International Conference on industrial Technology Bangkok, Thailand, December 11-14, 2002 p1055
[14] Liu F, Zhang H 2008 Transactions of China Electrotechnical Society 23 54 (in Chinese) [刘芳, 张浩 2008 电工技术学报 23 54]
[15] Liu F 2007 Journal of Xian Jiaotong University 41 1465 (in Chinese) [刘芳 2007 西安交通大学学报 41 1465]
[16] Liu F 2010 Chin. Phys. B 19 080511
[17] Liu F 2008 Chin. Phys. B 17 2394
[18] Wang S B, Zhou Y F, Chen J N, Jiang X D 2008 Proceedings of the CSEE 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]
[19] Jiang X D, Zhou Y F, Chen J N, Wang S B 2008 3rd IEEE Conference on Industrial Electronics and Applications Singapore, June 3-5, 2008 p833
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