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由于Buck变换器具有非线性特性, 在一定参数条件下, 它会处于混沌状态, 此时Buck变换器不能正常工作. 为了抑制Buck变换器的混沌现象, 本文首先建立了Buck变换器的精确状态方程模型, 然后通过分析可控范围图、开关逻辑图、相图、电感电流波形、输出电压波形, 研究了基于改善Buck变换器的电感电流与输出电压之间关联性的混沌控制策略. 研究结果表明: 该控制策略能够将处于混沌状态的Buck变换器稳定在周期1, 2, 4, 8轨道, 且该控制策略不需要预先确定期望的目标轨道, 不依赖于Buck变换器的电路参数, 只取决于一个外部参数即耦合强度, 所以该控制策略同样适用于其他 拓扑结构的功率变换器.
[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
-
[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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