峰值电流模式控制同步开关Z源变换器的动力学研究

向俊杰; 毕闯; 向勇; 张千; 王京梅

doi:10.7498/aps.63.120507

摘要

Z源变换器由于Z源网络的嵌入，具有高电压传输比，降低开关器件损耗，提高系统效率等优点，在直流变换、逆变等许多领域具有广泛的应用. 本文研究了基于峰值电流模式控制的同步开关Z源变换器的非线性动力学，建立了连续电流模式下同步开关Z源变换器的离散迭代映射模型；通过特征值的运动轨迹分析了参考电流对系统稳定性的影响，给出了系统稳定运行的参数域；基于分岔图和Lyapunov指数图发现了此变换器存在倍周期分岔、边界碰撞分岔、切分岔和阵发混沌，分析了边界碰撞分岔和混沌演化过程及其产生的机理；最后通过电路仿真和实验验证了理论分析的正确性. 研究结果表明：随着参考电流的增加，峰值电流模式控制同步开关Z源变换器从周期1经历倍周期分岔进入周期2和周期4，然后由于边界碰撞分岔过渡到阵发混沌态，接着通过切分岔进入周期3，最后再次由于边界碰撞分岔进入混沌态.

关键词:

Abstract

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.

Keywords:

synchronous switching Z-source converter /
discrete iterated mapping /
bifurcation /
chaos

作者及机构信息

1.
电子科技大学能源科学与工程学院, 成都 611731;

2.
东莞电子科技大学电子信息工程研究院, 东莞 523808;

3.
电子科技大学, 电子薄膜与集成器件国家重点实验室, 成都 610054

基金项目: 广东省引进创新科研团队项目（批准号：201001D0104713329）和中央高校基本科研业务经费（批准号：ZYGX2013J114）资助的课题.

Authors and contacts

1.
School of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;

2.
Institute of Electronic and Information Engineering in Dongguan, University of Electronic Science and Technology of China, Dongguan 523808, China;

3.
State Key Laboratory of Electronic Thin Films and Integrated Devices, University of Electronic Science and Technology of China, Chengdu 610054, China

Funds: Project supported by the Guangdong Innovative Research Team Program, China (Grant No. 201001D0104713329) and the Fundamental Research Fund for the Central Universities, China (Grant No. ZYGX2013J114).

参考文献

[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 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 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 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 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 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 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

施引文献

[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 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 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 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 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 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 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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