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Due to the strong nonlinearity of the Buck converter, it can be in the chaotic state under certain parameters and the chaotic Buck converter does not work normally. In order to suppress the chaotic phenomena in the Buck converter, a chaotic control scheme is demonstrated by establishing the accurate state equation models, and then analyzing the controllable range diagrams, the switching logic diagrams, the phase portrait, the inductor current waveforms and the output voltage waveforms. Also this scheme can be implemented by improving the correlation between the inductor current and the output voltage of the Buck converter. Research results show that this scheme can stabilize the chaotic Buck converter to the period-1, period-2, period-4, period-8 orbits, without determining the desired targeting orbits in advance. Moreover, this scheme does not depend on circuit parameters of the Buck converter, it only depends on an external parameter named the coupling strength, so this scheme can be applied to the other power converters.
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Keywords:
- chaotic control /
- Buck converter /
- correlation /
- coupling strength
[1] Di Bernardo M, Garofalo F, Glielmo L, Vasca F 1998 IEEE Trans. Circuits Syst. 45 133
[2] Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
[3] Yuan G H, Banerjee S, Ott E, Yorke J A 1998 IEEE Trans. Circuits Syst. 45 707
[4] Ma Y, Tse C K, Kousaka T Kawakami H 2005 IEEE Trans. Circuits Syst. 52 581
[5] 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]
[6] Xie L L, Gong R X, Zhuo H Z, Ma X H 2012 Acta Phys. Sin. 61 058401 (in Chinese) [谢玲玲, 龚仁喜, 卓浩泽, 马献花 2012 物理学报 61 058401]
[7] Zou Y L, Luo X S, Chen G R 2006 Chin. Phys. 15 1719
[8] Lu W G, Zhou L W, Luo Q M 2007 Chin. Phys. 16 3256
[9] Lai X Q, Li Z H, Yuan B, Wang H, Ye Q, Zhao Y R 2010 Acta Phys. Sin. 59 2256 (in Chinese) [来新泉, 李祖贺, 袁冰, 王慧, 叶强, 赵永瑞 2010 物理学报 59 2256]
[10] Macau E E N, Turci L F R, Yoneyama T 2008 Eur. Phys. J. Special Topics 165 221
[11] Turci L F R, Macau E E N, Yoneyama T 2009 Chaos Solitons Fractals 42 396
[12] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[13] Lu W G, Zhou L W, Luo Q M, Wu J K 2011 Int. J. Circ. Theor. Appl. 39 159
[14] Patidar V, Pareek N K, Sud K K 2002 Phys. Lett. A 304 121
[15] Zhou X A, Qian G B, Qiu S S 2006 Acta Phys. Sin. 55 3974 (in Chinese) [周小安, 钱恭斌, 丘水生 2006 物理学报 55 3974]
[16] Liu B Z, Peng J H 2007 Nonlinear Dynamics (Beijing: Higher Education Press) p377 (in Chinese) [刘秉正, 彭建华 2007 非线性动力学 (北京: 高等教育出版社) 第377页]
[17] Olivar G, Fossas E, Batlle C 2000 Nonlinearity 13 1095
[18] Dai D, Tse C K, Ma X K 2005 IEEE Trans. Circuits Syst. 52 1632
[19] Lu W G, Zhou L W, Luo Q M 2007 Acta Phys. Sin. 56 5648 (in Chinese) [卢伟国, 周雒维, 罗全明 2007 物理学报 56 5648]
[20] Hamill D C, Deane J H B, Jefferies D J 1992 IEEE Trans. Power Electron. 7 25
[21] Zhou Y F, Chen J N, Xu C 2005 Proceedings of the CSEE 25 31 (in Chinese) [周宇飞, 陈军宁, 徐超 2005 中国电机工程学报 25 31]
[22] Banerjee S 1997 IEEE Trans. Circuits Syst. 44 847
[23] Zou Y L, Luo X S, Fang J Q, Wang B H 2003 Acta Phys. Sin. 52 2979 (in Chinese) [邹艳丽, 罗晓曙, 方锦清, 汪秉宏 2003 物理学报 52 2979]
[24] Di Bernardo M, Budd C, Champneys A 1998 Nonlinearity 11 864
[25] Fossas E, Olivar G 1996 IEEE Trans. Circuits Syst. 43 13
[26] Bouali S 2012 Nonlinear Dyn. 70 2375
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[1] Di Bernardo M, Garofalo F, Glielmo L, Vasca F 1998 IEEE Trans. Circuits Syst. 45 133
[2] Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
[3] Yuan G H, Banerjee S, Ott E, Yorke J A 1998 IEEE Trans. Circuits Syst. 45 707
[4] Ma Y, Tse C K, Kousaka T Kawakami H 2005 IEEE Trans. Circuits Syst. 52 581
[5] 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]
[6] Xie L L, Gong R X, Zhuo H Z, Ma X H 2012 Acta Phys. Sin. 61 058401 (in Chinese) [谢玲玲, 龚仁喜, 卓浩泽, 马献花 2012 物理学报 61 058401]
[7] Zou Y L, Luo X S, Chen G R 2006 Chin. Phys. 15 1719
[8] Lu W G, Zhou L W, Luo Q M 2007 Chin. Phys. 16 3256
[9] Lai X Q, Li Z H, Yuan B, Wang H, Ye Q, Zhao Y R 2010 Acta Phys. Sin. 59 2256 (in Chinese) [来新泉, 李祖贺, 袁冰, 王慧, 叶强, 赵永瑞 2010 物理学报 59 2256]
[10] Macau E E N, Turci L F R, Yoneyama T 2008 Eur. Phys. J. Special Topics 165 221
[11] Turci L F R, Macau E E N, Yoneyama T 2009 Chaos Solitons Fractals 42 396
[12] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[13] Lu W G, Zhou L W, Luo Q M, Wu J K 2011 Int. J. Circ. Theor. Appl. 39 159
[14] Patidar V, Pareek N K, Sud K K 2002 Phys. Lett. A 304 121
[15] Zhou X A, Qian G B, Qiu S S 2006 Acta Phys. Sin. 55 3974 (in Chinese) [周小安, 钱恭斌, 丘水生 2006 物理学报 55 3974]
[16] Liu B Z, Peng J H 2007 Nonlinear Dynamics (Beijing: Higher Education Press) p377 (in Chinese) [刘秉正, 彭建华 2007 非线性动力学 (北京: 高等教育出版社) 第377页]
[17] Olivar G, Fossas E, Batlle C 2000 Nonlinearity 13 1095
[18] Dai D, Tse C K, Ma X K 2005 IEEE Trans. Circuits Syst. 52 1632
[19] Lu W G, Zhou L W, Luo Q M 2007 Acta Phys. Sin. 56 5648 (in Chinese) [卢伟国, 周雒维, 罗全明 2007 物理学报 56 5648]
[20] Hamill D C, Deane J H B, Jefferies D J 1992 IEEE Trans. Power Electron. 7 25
[21] Zhou Y F, Chen J N, Xu C 2005 Proceedings of the CSEE 25 31 (in Chinese) [周宇飞, 陈军宁, 徐超 2005 中国电机工程学报 25 31]
[22] Banerjee S 1997 IEEE Trans. Circuits Syst. 44 847
[23] Zou Y L, Luo X S, Fang J Q, Wang B H 2003 Acta Phys. Sin. 52 2979 (in Chinese) [邹艳丽, 罗晓曙, 方锦清, 汪秉宏 2003 物理学报 52 2979]
[24] Di Bernardo M, Budd C, Champneys A 1998 Nonlinearity 11 864
[25] Fossas E, Olivar G 1996 IEEE Trans. Circuits Syst. 43 13
[26] Bouali S 2012 Nonlinear Dyn. 70 2375
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