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The voltage mode controlled boost converters contain plenty of bifurcation phenomena. Tangent bifurcation is one of these phenomena. The investigation of the tangent bifurcation in voltage mode controlled boost converters operating in discontinuous conduction mode (DCM) is performed. The third iterative map is derived according to the first iterative map. Based on the tangent bifurcation theorem, the conditions of producing the tangential bifurcation in the DCM boost converters are deduced mathematically. The computer simulations are performed to capture the effects of some chosen parameters on the tangent bifurcation behavior of the system. The results show that the variation of the feedback factor leads to tangent bifurcation and intermittent chaos phenomena. Experimental results show that the system does exhibit tangent bifurcation under the particular operating conditions, thus validating the theoretical analysis and the simulation results.
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Keywords:
- tangent bifurcation /
- boost converter /
- chaos /
- iterative map
[1] Tse C K 1994 IEEE Trans. Circuits and Systems-I 41 16
[2] Chan W C Y, Tse C K 1997 IEEE Trans. Circuits and Systems-I44 1129
[3] Yang R, Zhang B, Chu L L 2008 Acta Phys. Sin. 57 2770 (inChinese)[杨汝, 张波, 褚利丽 2008 57 2770]
[4] di Bernardo M, Vasca F 2000 IEEE Trans. Circuits and Systems-I47 130
[5] Zhou Y F, Chen J N 2005 Proceedings of the CSEE 25 23 (in Chi-nese) [周宇飞, 陈军宁 2005 中国电机工程学报 25 23]
[6] Qiao X H, Bao B C, Shun Y X 2009 Electrical Measurement &Instrumentation 46 5 (in Chinese) [乔晓华, 包伯成, 孙玉霞 2009 电测与仪表 46 5]
[7] Dai D, Ma X K, Li X F 2003 Acta Phys. Sin. 52 2371 (in Chinese) [戴栋, 马西奎, 李小峰 2003 52 2371]
[8] Bao B C, Xue J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成, 许建平, 刘中 2009 58 2949]
[9] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEETrans. Circuits and Systems-I 54 1120
[10] Yue M, Tse C K, Kousaka T, Kawakami H 2005 IEEE Trans. Circuitsand Systems-II 52 581
[11] Basak B, Parui S 2010 IEEE Trans. Power Electronics 25 1556
[12] Cheng K W E, Liu M J, Ho Y L 2003 IEEE Power Electron. Lett.1 101
[13] Xie L L, Gong R X, Zhuo H Z, Wei J Q 2011 J. Elect. Eng. Tech.6 519
[14] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (inChinese) [王发强, 张浩, 马西奎 2008 57 2842]
[15] Zhou G H, Xue J P, Bao B C 2010 Acta Phys. Sin. 59 2272 (inChinese) [周国华, 许建平, 包伯成 2010 59 2272]
[16] Ei Aroudi A, Rodriguez E, Leyva R, Alarcon E 2010 IEEE Trans.Circuits Systems-II 57 218
[17] Hao B L 1993 Starring with Parabolas an Introduction to ChaoticDynamis (Shanghai: Shanghai Scientific and Technological EducationPublishing House) (in Chinese) [郝柏林 1993从抛物线谈起——-混沌动力学引论 (上海: 上海科技教育出版社)]
[18] Robinson R C 2004 An Introduction to Dynamical Systems: Continuousand Discrete (Northwestern University, Pearson PrenticeHall)
-
[1] Tse C K 1994 IEEE Trans. Circuits and Systems-I 41 16
[2] Chan W C Y, Tse C K 1997 IEEE Trans. Circuits and Systems-I44 1129
[3] Yang R, Zhang B, Chu L L 2008 Acta Phys. Sin. 57 2770 (inChinese)[杨汝, 张波, 褚利丽 2008 57 2770]
[4] di Bernardo M, Vasca F 2000 IEEE Trans. Circuits and Systems-I47 130
[5] Zhou Y F, Chen J N 2005 Proceedings of the CSEE 25 23 (in Chi-nese) [周宇飞, 陈军宁 2005 中国电机工程学报 25 23]
[6] Qiao X H, Bao B C, Shun Y X 2009 Electrical Measurement &Instrumentation 46 5 (in Chinese) [乔晓华, 包伯成, 孙玉霞 2009 电测与仪表 46 5]
[7] Dai D, Ma X K, Li X F 2003 Acta Phys. Sin. 52 2371 (in Chinese) [戴栋, 马西奎, 李小峰 2003 52 2371]
[8] Bao B C, Xue J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成, 许建平, 刘中 2009 58 2949]
[9] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEETrans. Circuits and Systems-I 54 1120
[10] Yue M, Tse C K, Kousaka T, Kawakami H 2005 IEEE Trans. Circuitsand Systems-II 52 581
[11] Basak B, Parui S 2010 IEEE Trans. Power Electronics 25 1556
[12] Cheng K W E, Liu M J, Ho Y L 2003 IEEE Power Electron. Lett.1 101
[13] Xie L L, Gong R X, Zhuo H Z, Wei J Q 2011 J. Elect. Eng. Tech.6 519
[14] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (inChinese) [王发强, 张浩, 马西奎 2008 57 2842]
[15] Zhou G H, Xue J P, Bao B C 2010 Acta Phys. Sin. 59 2272 (inChinese) [周国华, 许建平, 包伯成 2010 59 2272]
[16] Ei Aroudi A, Rodriguez E, Leyva R, Alarcon E 2010 IEEE Trans.Circuits Systems-II 57 218
[17] Hao B L 1993 Starring with Parabolas an Introduction to ChaoticDynamis (Shanghai: Shanghai Scientific and Technological EducationPublishing House) (in Chinese) [郝柏林 1993从抛物线谈起——-混沌动力学引论 (上海: 上海科技教育出版社)]
[18] Robinson R C 2004 An Introduction to Dynamical Systems: Continuousand Discrete (Northwestern University, Pearson PrenticeHall)
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