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After dimension reduction, two boundary voltages of V2 controlled buck converter are deduced under different operation mode, based on which, its equivalent one-dimensional discrete-time model is established and complex nonlinear bifurcation behaviors are emphatically studied. Two boundary conditions under which shift between stable period-one state and subharmonic oscillation state and shift between continuous conduction mode (CCM) and discontinuous conduction mode (DCM) take place are derived by analyzing stability and operation mode. The research results show that in V2 controlled buck converter period-doubling bifurcation and border-collision bifurcation can occur with varying circuit parameters and the converter has different bifurcation routes at different circuit parameters. Simulation and experiment platforms are implemented and the corresponding results verify the validity of equivalent discrete-time model and theoretical analysis.
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Keywords:
- V2 control /
- iterative model /
- bifurcation /
- operation mode
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[2] Schuellein G 1998 Proceedings of APEC'98 853
[3] Veerachary M 2003 Proceedings of ISCAS'03 3 25
[4] Wang F Y, Xu J P, Xu J F 2005 Proc. CSEE 25 67 (in Chinese) [王凤岩, 许建平, 许峻峰 2005 中国电机工程学报 25 67]
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[6] Toribio E, El Aroudi A, Olivar G, Benadero L 2000 IEEE Trans. Power Electron 15 1163
[7] Wang F Q, Ma X K, Yan Y 2011 Acta Phys. Sin. 60 060510 (in Chinese) [王发强, 马西奎, 闫晔 2011 物理学报 60 060510]
[8] Tse C K, Bernardo M D 2002 Proc. IEEE 90 768
[9] Dai D, Ma X K, Li X F 2003 Acta Phys. Sin. 52 2729 (in Chinese) [戴栋, 马西奎, 李小峰 2003 物理学报 52 2729]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[12] Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) [卢伟国, 周雒维, 罗全明, 杜雄 2007 物理学报 56 6275]
[13] Mai Y Y, Mok P K T 2008 IEEE Trans. Circuits Syst. II 55 748
[14] Lee Y H, Wang S J, Chen K H 2010 IEEE Trans. Power Electron 25 829
[15] Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成, 许建平, 刘中 2009 物理学报 58 2949]
[16] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[17] Zhou Y F, Chen J N, IU H H C, Tse C K 2008 Int. Journal of Bifurcation and Chaos 18 121
[18] Zhang Y, Zhang H, Ma X K 2010 Acta Phys. Sin. 59 8432 (in Chinese) [张源, 张浩, 马西奎 2010 物理学报 59 8432]
[19] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (in Chinese) [王发强, 张浩, 马西奎 2008 物理学报 57 2842]
[20] Bao B C, Zhou G H, Xu J P, Liu Z 2010 Acta Phys. Sin. 59 3769 (in Chinese) [包伯成, 周国华, 许建平, 刘中 2010 物理学报 59 3769]
[21] Bao B C 2013 An Introduction to Chaotic Circuits (Science Press) p153 (in Chinese) [包伯成 2013 (科学出版社) 第153页]
[22] Yang P, Bao B C, Sha J, Xu J P 2013 Acta Phys. Sin. 62 010504 (in Chinese) [杨平, 包伯成, 沙金, 许建平 2013 物理学报 62 010504]
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[1] Song Q 2001 Proceedings of APEC'2001 507
[2] Schuellein G 1998 Proceedings of APEC'98 853
[3] Veerachary M 2003 Proceedings of ISCAS'03 3 25
[4] Wang F Y, Xu J P, Xu J F 2005 Proc. CSEE 25 67 (in Chinese) [王凤岩, 许建平, 许峻峰 2005 中国电机工程学报 25 67]
[5] Zhou Y F, Chen J N, Tse C K, Ke D M, Shi L X, Sun W F 2004 Acta Phys. Sin. 53 3676 (in Chinese) [周宇飞, 陈军宁, 谢智刚, 柯导明, 时龙兴, 孙伟峰 2004 物理学报 53 3676]
[6] Toribio E, El Aroudi A, Olivar G, Benadero L 2000 IEEE Trans. Power Electron 15 1163
[7] Wang F Q, Ma X K, Yan Y 2011 Acta Phys. Sin. 60 060510 (in Chinese) [王发强, 马西奎, 闫晔 2011 物理学报 60 060510]
[8] Tse C K, Bernardo M D 2002 Proc. IEEE 90 768
[9] Dai D, Ma X K, Li X F 2003 Acta Phys. Sin. 52 2729 (in Chinese) [戴栋, 马西奎, 李小峰 2003 物理学报 52 2729]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[12] Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) [卢伟国, 周雒维, 罗全明, 杜雄 2007 物理学报 56 6275]
[13] Mai Y Y, Mok P K T 2008 IEEE Trans. Circuits Syst. II 55 748
[14] Lee Y H, Wang S J, Chen K H 2010 IEEE Trans. Power Electron 25 829
[15] Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成, 许建平, 刘中 2009 物理学报 58 2949]
[16] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[17] Zhou Y F, Chen J N, IU H H C, Tse C K 2008 Int. Journal of Bifurcation and Chaos 18 121
[18] Zhang Y, Zhang H, Ma X K 2010 Acta Phys. Sin. 59 8432 (in Chinese) [张源, 张浩, 马西奎 2010 物理学报 59 8432]
[19] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (in Chinese) [王发强, 张浩, 马西奎 2008 物理学报 57 2842]
[20] Bao B C, Zhou G H, Xu J P, Liu Z 2010 Acta Phys. Sin. 59 3769 (in Chinese) [包伯成, 周国华, 许建平, 刘中 2010 物理学报 59 3769]
[21] Bao B C 2013 An Introduction to Chaotic Circuits (Science Press) p153 (in Chinese) [包伯成 2013 (科学出版社) 第153页]
[22] Yang P, Bao B C, Sha J, Xu J P 2013 Acta Phys. Sin. 62 010504 (in Chinese) [杨平, 包伯成, 沙金, 许建平 2013 物理学报 62 010504]
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