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Z-source converter can have a high voltage transmission ratio, reduce the losses of switching devices, and improve the efficiency of the system, etc., because of embedding the Z-source network into the system, which makes it find wide applications in DC conversion, inverters, etc. Nonlinear dynamics of the peak-current-mode controlled synchronous switching Z-source converter is studied for the first time so far as we know. The discrete iterated mapping model under continuous current mode is established, while the effects of the reference current on the stability of the system are analyzed by using the trajectories of eigenvalues, and the steady state operation parameter domain is schemed. Period-doubling bifurcation, border-collision bifurcation, tangent bifurcation and intermittent chaos are found in this converter based on the bifurcation diagram and the Lyapunov exponent diagram, and the evolvement and mechanism of the border-collision bifurcation and chaos are analyzed. Finally, the circuit simulation and the experimental results show that the theoretical analysis is correct. Results obtained indicate that with the increase of the reference current, the peak-current-mode controlled synchronous switching Z-source converter goes from period 1 into period 2 and period 4 through the period-doubling bifurcation, and moves into the intermittent chaos due to the border-collision bifurcation. Then the system exhibits a period-3 behaviour because of the tangent bifurcation. Finally, the converter moves into chaos due to the border-collision bifurcation again.
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Keywords:
- synchronous switching Z-source converter /
- discrete iterated mapping /
- bifurcation /
- chaos
[1] Liu H C, Yang S, Wang G L, Li F 2013 Acta Phys. Sin. 62 150505 (in Chinese) [刘洪臣, 杨爽, 王国立, 李飞 2013 物理学报 62 150505]
[2] Li G L, Li C Y, Chen X Y, Mu X M 2012 Acta Phys. Sin. 61 170506 (in Chinese) [李冠林, 李春阳, 陈希有, 牟宪民 2012 物理学报 61 170506]
[3] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[4] Ma W, Wang M Y, Nie H L 2011 Acta Phys. Sin. 60 100202 (in Chinese) [马伟, 王明渝, 聂海龙 2011 物理学报 60 100202]
[5] Dai D, Ma X, Zhang B, Tse C K 2011 Chaos Soliton. Fract. 44 464
[6] Wang X M, Zhang B 2009 Proceedings of the CSEE 29 22 (in Chinese) [王雪梅, 张波 2009 中国电机工程学报 29 22]
[7] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I 58 2269
[8] Liu F 2008 Chin. Phys. B 17 2394
[9] Yang P, Xu J P, He S Z, Bao B C 2013 Acta Phys. Sin. 62 160501 (in Chinese) [杨平, 许建平, 何圣仲, 包伯成 2013 物理学报 62 160501]
[10] Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[11] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强, 张浩, 马西奎 2008 物理学报 57 1522]
[12] 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]
[13] Peng F Z 2003 IEEE Trans. Industry Appl. 39 504
[14] Wang L M, Qiang Z M, Peng F Z 2005 Electrotech. Appl. 24 123 (in Chinese) [王利明, 钱照明, 彭方正 2005 电气应用 24 123]
[15] Guo K, Chen Y, Zhou L, Dai L 2011 Appl. Mech. Mater. 44 1677
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[1] Liu H C, Yang S, Wang G L, Li F 2013 Acta Phys. Sin. 62 150505 (in Chinese) [刘洪臣, 杨爽, 王国立, 李飞 2013 物理学报 62 150505]
[2] Li G L, Li C Y, Chen X Y, Mu X M 2012 Acta Phys. Sin. 61 170506 (in Chinese) [李冠林, 李春阳, 陈希有, 牟宪民 2012 物理学报 61 170506]
[3] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[4] Ma W, Wang M Y, Nie H L 2011 Acta Phys. Sin. 60 100202 (in Chinese) [马伟, 王明渝, 聂海龙 2011 物理学报 60 100202]
[5] Dai D, Ma X, Zhang B, Tse C K 2011 Chaos Soliton. Fract. 44 464
[6] Wang X M, Zhang B 2009 Proceedings of the CSEE 29 22 (in Chinese) [王雪梅, 张波 2009 中国电机工程学报 29 22]
[7] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I 58 2269
[8] Liu F 2008 Chin. Phys. B 17 2394
[9] Yang P, Xu J P, He S Z, Bao B C 2013 Acta Phys. Sin. 62 160501 (in Chinese) [杨平, 许建平, 何圣仲, 包伯成 2013 物理学报 62 160501]
[10] Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[11] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强, 张浩, 马西奎 2008 物理学报 57 1522]
[12] 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]
[13] Peng F Z 2003 IEEE Trans. Industry Appl. 39 504
[14] Wang L M, Qiang Z M, Peng F Z 2005 Electrotech. Appl. 24 123 (in Chinese) [王利明, 钱照明, 彭方正 2005 电气应用 24 123]
[15] Guo K, Chen Y, Zhou L, Dai L 2011 Appl. Mech. Mater. 44 1677
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