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The two inductor current boundaries are derived, and segmented smooth iteration mapping model of current controlled quadratic boost converter is established based on the detailed description of switching states. The comparative analyses of the nonlinear bifurcation behaviors are performed with input inductor current and the storage inductor current as current feedback respectively. Two boundary conditions for the transition from stable period-one state to sub-harmonic oscillation state and for the transition from discontinuous conduction mode to continuous conduction mode are derived by analyzing stability and operation mode. The operation-state regions corresponding to circuit parameter regions are estimated by utilizing the parameter-space maps. An experimental circuit is built and the results show that both different bifurcation routes and operation mode transition phenomenon are changed with parameter variation, the current controlled quadratic boost converter exhibits complicated dynamical behaviors. The experimental results verify the correctness of the theoretical analysis.
[1] Maksimovic D, Cuk S 1991 IEEE Trans. Power Electron. 6 151
[2] Rajagopalan J, Lee F C, Nora P 2007 IET Electron. Power Appl. 1 362
[3] Tse C K, Bernardo M D 2002 Proc. IEEE 90 768
[4] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[5] 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]
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[7] 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]
[8] 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]
[9] 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]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Bao B C, Xu J P, Liu Z 2009 Acta Electron. Sin. 37 2787 (in Chinese) [包伯成, 许建平, 刘中 2009 电子学报 37 2787]
[12] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[13] Bi Y C, Wang X F, Liu L S 2010 J. Harbin Univ. Sci. Tech. China 15 77 (in Chinese) [毕玉春, 汪小峰, 刘立生 2010 哈尔滨理工大学学报 15 77]
[14] 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]
[15] Liu F 2010 Chin. Phys. B 19 080511
[16] 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]
[17] Bao B C 2013 An Introduction to Chaotic Circuits (Beijing: Science Press) p153 (in Chinese) [包伯成 2013 混沌电路导论 (北京: 科学出版社) 第153页]
[18] Bao B C, Zhang X, Xu J P, Wang J P 2013 Electronic Lett. 49 287
[19] Wang J P, Bao B C, Xu J P 2013 IEEE Trans.Industrial Electron. 60 1759
[20] Xu J P 1993 Int. J. Electron. 74 465
[21] Yang P, Xu J P, Zhang S Y, Wang J P 2011 Trans. China Electrotech. Soc. 26 101 (in Chinese) [杨平, 许建平, 张士宇, 王金平 2011 电工技术学报 26 101]
[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] Maksimovic D, Cuk S 1991 IEEE Trans. Power Electron. 6 151
[2] Rajagopalan J, Lee F C, Nora P 2007 IET Electron. Power Appl. 1 362
[3] Tse C K, Bernardo M D 2002 Proc. IEEE 90 768
[4] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[5] 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]
[6] Zhou Y F, Chen J N, Ke D M 2005 Acta Electron. Sin. 33 915 (in Chinese) [周宇飞, 陈军宁, 柯导明 2005 电子学报 33 915]
[7] 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]
[8] 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]
[9] 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]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Bao B C, Xu J P, Liu Z 2009 Acta Electron. Sin. 37 2787 (in Chinese) [包伯成, 许建平, 刘中 2009 电子学报 37 2787]
[12] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[13] Bi Y C, Wang X F, Liu L S 2010 J. Harbin Univ. Sci. Tech. China 15 77 (in Chinese) [毕玉春, 汪小峰, 刘立生 2010 哈尔滨理工大学学报 15 77]
[14] 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]
[15] Liu F 2010 Chin. Phys. B 19 080511
[16] 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]
[17] Bao B C 2013 An Introduction to Chaotic Circuits (Beijing: Science Press) p153 (in Chinese) [包伯成 2013 混沌电路导论 (北京: 科学出版社) 第153页]
[18] Bao B C, Zhang X, Xu J P, Wang J P 2013 Electronic Lett. 49 287
[19] Wang J P, Bao B C, Xu J P 2013 IEEE Trans.Industrial Electron. 60 1759
[20] Xu J P 1993 Int. J. Electron. 74 465
[21] Yang P, Xu J P, Zhang S Y, Wang J P 2011 Trans. China Electrotech. Soc. 26 101 (in Chinese) [杨平, 许建平, 张士宇, 王金平 2011 电工技术学报 26 101]
[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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