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V2控制Buck变换器等效建模与分岔分析

何圣仲 周国华 许建平 包伯成 杨平

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V2控制Buck变换器等效建模与分岔分析

何圣仲, 周国华, 许建平, 包伯成, 杨平

Equivalent modeling and bifurcation analysis of V2 controlled buck converter

He Sheng-Zhong, Zhou Guo-Hua, Xu Jian-Ping, Bao Bo-Cheng, Yang Ping
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  • 通过对V2控制Buck变换器电路进行降阶处理, 利用不同工作模式, 推导了两个边界电压, 建立了V2控制Buck变换器的等效一阶同步映射迭代模型, 研究了它的非线性分岔行为. 通过稳定性和工作模式分析, 推导了V2控制Buck变换器从稳定的周期1工作状态到次谐波振 荡状态转移以及从电感电流不连续导电模式 (DCM) 到连续导电模式 (CCM) 转移的条件. 研究结果表明, 当电路参数变化时, V2控制Buck 变换器发生了倍周期分岔和边界碰撞分岔, 不同的参数变化有着不同的分岔路由. 搭建了仿真和实验电路, 仿真和实验结果验证了等效迭代模型的有效性和理论分析的正确性.
    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.
    • 基金项目: 国家自然科学基金 (批准号: 51177140, 51277017) 和中央高校基本科研业务费专项资金 (批准号: SWJTU11BR033, SWJTU11CX029) 资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51177140, 51277017), and the Fundamental Research Funds for the Central Universities (Grant Nos. SWJTU11BR033, SWJTU11CX029).
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    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]

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    Zhou Y F, Chen J N, IU H H C, Tse C K 2008 Int. Journal of Bifurcation and Chaos 18 121

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    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]

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    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]

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    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]

  • [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]

计量
  • 文章访问数:  5374
  • PDF下载量:  777
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-01-09
  • 修回日期:  2013-02-13
  • 刊出日期:  2013-06-05

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