电流模式SEPIC变换器倍周期分岔现象研究

李冠林; 李春阳; 陈希有; 牟宪民

doi:10.7498/aps.61.170506

摘要

以SEPIC变换器中前置电感电流为控制对象,建立了SEPIC变换器断续电流模式下的离散时间模型, 并分析了不动点的稳定性.通过相轨图、功率谱图以及分岔图, 发现电路中存在一种特殊的倍周期分岔现象——电路的运行状态经历了1倍周期、 2倍周期、4倍周期再到2倍周期、4倍周期,最终进入混沌状态.实验结果与仿真结果相一致, 证实了SEPIC变换器在断续电流模式下存在这种倍周期分岔现象.

关键词:

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.

Keywords:

作者及机构信息

1.
大连理工大学电气工程学院, 大连 116023

基金项目: 国家自然科学基金(批准号: 50877007)和中央高校基本科研业务费专项资金(批准号: DUT10LK12)资助的课题.

Authors and contacts

1.
Department of Electrical Engineering, Dalian University of Technology, Dalian 116023, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50877007), and the Fundamental Research Funds for the Central University (Grant No. DUT10LK12).

参考文献

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[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]
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[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

施引文献

[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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