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The second-order discrete iterative map model of V2-controlled Buck converter is established, based on which, the bifurcation diagrams with variation of output capacitance and its equivalent series resistance (ESR) are obtained, and the effect of output capacitance time-constant on the dynamic characteristics of V2-controlled Buck converter is investigated. It is found that with gradual reduction of output capacitance time-constant, the V2-controlled Buck converter shows the evolutive dynamic behavior from continuous conduction mode (CCM) period-1 to CCM period-2, CCM period-4, CCM period-8, CCM chaos, and discontinuous conduction mode (DCM) chaos. Jacobi matrix at a fixed point is also derived. According to this, the converter stability is analyzed by using characteristic values and maximum Lyapunov exponent, which validates the correctness of bifurcation analysis. Finally, the simulation and experimental circuits are set up, and the correctness of the theoretical analysis is verified by simulation and experimental results.
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Keywords:
- switching converter /
- V2-control /
- output capacitance time-constant /
- dynamics
[1] Goder D, Pelletier W R 1996 Proceeding of HFPC' 1996 19
[2] Li J, F C 2009 IEEE Tran. Circuits and Systems, Part I 57 2552
[3] 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]
[4] He S Z, Zhou G H, Xu J P, Bao B C, Yang P 2013 Acta Phys. Sin. 62 110503 (in Chinese) [何圣仲, 周国华, 许建平, 包伯成, 杨平 2013 物理学报 62 110503]
[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] Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[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] 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]
[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] 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]
[12] 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]
[13] 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]
[14] Zhou G H, Xu J P, Bao B C 2012 Int. J. Bifurc. Chaos 22 1250008
[15] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[16] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[17] M. Veerachary, 2003 Proceeding of ISCAS' 03 344
[18] Xie F, Yang R, Zhang B 2010 Acta Phys. Sin. 59 8393 (in Chinese) [谢帆, 杨汝, 张波 2010 物理学报 59 8393]
[19] Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electronics 13 252
[20] Zhang B, Li P, Qi Q 2002 Proc. CSEE 22 81 (in Chinese)[张波, 李萍, 齐群 2002 中国电机工程学报 22 81]
[21] Bao B C 2013 An Introduction to Chaotic Circuits (Beijing: Science Press) p164 (in Chinese) [包伯成 2013 混沌电路导论 (北京: 科学出版社)第164页]
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[1] Goder D, Pelletier W R 1996 Proceeding of HFPC' 1996 19
[2] Li J, F C 2009 IEEE Tran. Circuits and Systems, Part I 57 2552
[3] 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]
[4] He S Z, Zhou G H, Xu J P, Bao B C, Yang P 2013 Acta Phys. Sin. 62 110503 (in Chinese) [何圣仲, 周国华, 许建平, 包伯成, 杨平 2013 物理学报 62 110503]
[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] Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[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] 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]
[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] 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]
[12] 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]
[13] 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]
[14] Zhou G H, Xu J P, Bao B C 2012 Int. J. Bifurc. Chaos 22 1250008
[15] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[16] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[17] M. Veerachary, 2003 Proceeding of ISCAS' 03 344
[18] Xie F, Yang R, Zhang B 2010 Acta Phys. Sin. 59 8393 (in Chinese) [谢帆, 杨汝, 张波 2010 物理学报 59 8393]
[19] Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electronics 13 252
[20] Zhang B, Li P, Qi Q 2002 Proc. CSEE 22 81 (in Chinese)[张波, 李萍, 齐群 2002 中国电机工程学报 22 81]
[21] Bao B C 2013 An Introduction to Chaotic Circuits (Beijing: Science Press) p164 (in Chinese) [包伯成 2013 混沌电路导论 (北京: 科学出版社)第164页]
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