脉冲序列控制开关变换器的脉冲组合规律及其多周期态研究

沙金; 许建平

doi:10.7498/aps.62.218402

摘要

开关变换器的脉冲序列控制是通过调整控制脉冲循环周期内高、低功率脉冲的组合方式实现对开关变换器输出电压的调节. 控制脉冲循环周期内高、低功率脉冲的组合方式决定了脉冲序列控制开关变换器的稳态性能. 基于数论中连分式展开的思想, 研究了控制脉冲循环周期内脉冲序列控制开关变换器的控制脉冲组合规律, 得到了确定控制脉冲循环周期内高、低功率控制脉冲组合方式的算法. 建立了脉冲序列控制开关变换器的输出电压一维离散迭代标准模型, 并结合高、低功率控制脉冲组合规律, 分析了脉冲序列控制开关变换器的稳态性能; 研究了其多周期态参数估计和分布; 得到了其输出电压纹波范围. 仿真和实验结果证明了算法的正确性. 本文的研究结果有助于深入理解脉冲序列控制这一类离散型开关变换器控制方法.

关键词:

Abstract

Pulse train control technique is realized through the output voltage regulation of switching dc-dc converter by adjusting the control pulse combination of high-power and low-power control pulses in a control pulse repetition cycle. Once the circuit parameters are determined, the control pulse combination is fixed. The control pulse combination directly affects the steady-state performances of pulse train (PT) controller. In this paper, the control pulse combination of PT control technique is studied by using the continued fraction technique. A one-dimensional normal form of discrete-time map of PT controlled buck converter operating in discontinuous conduction mode is also established in which the steady state performances, such as parameter evaluation of multi-periodicities and output voltage ripple of PT controlled DCM buck converter, are analyzed. The simulation result, experimental result, and the results in the literature are in accordance with the theoretical analysis. This investigation is helpful to obtain a deeper understanding of PT control technique.

Keywords:

作者及机构信息

沙金,
许建平

1.
磁浮技术与磁浮列车教育部重点实验室, 西南交通大学电气工程学院, 成都 610031

基金项目: 国家自然科学基金(批准号: 51177140)和中央高校基本科研业务费专项基金(2682013ZT20)资助的课题.

Authors and contacts

1.
Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51177140), and the Fundamental Research Funds for the Central Universities of China (Grant 2682013ZT20).

参考文献

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[2]	Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Aerosp. Electron. Syst. 41 1
[3]	Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Power Electron. 20 4
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[7]	Qin M, Xu J P, Zhou G H, Mu Q B 2009 IEEE 4th Conf. Indust. Elect. Applic. (ICIEA) Xi’an, China, May, 2009 p2924
[8]	Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 12 (in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 物理学报 61 12]
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[13]	Yang N N, Liu C X, Wu C J 2012 Chin. Phys. B 21 8
[14]	Banerjee S, Ranjan P, Grebogi C 2000 IEEE Trans. Circuits Syst. I. 47 5
[15]	Kapat S, Banerjee S, Patra A 2010 IEEE Trans. Circuits Syst. I. 57 7
[16]	Wang J P, Bao B C, Xu J P, Zhou G H, Hu W 2012 IEEE Trans. Ind. Electron. 60 5
[17]	Jain P, Banerjee S 2003 Int. J. Bifurcat. Chaos. 13 11
[18]	Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 5
[19]	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]
[20]	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]

施引文献

[1]	Telefus M, Shteynberg A, Ferdowsi M, Emadi A 2004 IEEE Trans. Power Electron. 19 3
[2]	Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Aerosp. Electron. Syst. 41 1
[3]	Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Power Electron. 20 4
[4]	Khaligh A, Emadi A 2006 IEEE Veh. Power Propul. Conf. (VPPC) Windsor, United kingdom, Sep, 2006 p1
[5]	Khaligh A, Emadi A 2006 IEEE 1st Conf. Indust. Elect. Applic.(ICIEA) Singapore, Singapore, May, 2006 p1
[6]	Khaligh A, Rahimi A M, Emadi A 2007 IEEE Trans. Veh. Technol. 56 4
[7]	Qin M, Xu J P, Zhou G H, Mu Q B 2009 IEEE 4th Conf. Indust. Elect. Applic. (ICIEA) Xi’an, China, May, 2009 p2924
[8]	Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 12 (in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 物理学报 61 12]
[9]	Hua L G 1975 Introduction to the Theory of Numbers (Beijing: Science Publishing House) p15 (in Chinese) [华罗庚 1975 数论导引(北京: 科学出版社) 第15页]
[10]	Hincen,Alexandr Jakovlevic 1965 Continued Fraction(Shanghai: Scientific and Technical Publishers) p53 (in Chinese) [辛钦 1965 连分数(上海: 科学技术出版社) 第53页]
[11]	Wang F Q, Ma X K 2011 Acta Phys. Sin. 60 7 (in Chinese) [王发强, 马西奎 2011 物理学报 60 7]
[12]	Xie L L, Gong R X, Zhuo H Z, Ma X H 2012 Acta Phys. Sin. 61 058401 (in Chinese) [谢玲玲, 龚仁喜, 卓浩泽, 马献花 2012 物理学报 61 058401]
[13]	Yang N N, Liu C X, Wu C J 2012 Chin. Phys. B 21 8
[14]	Banerjee S, Ranjan P, Grebogi C 2000 IEEE Trans. Circuits Syst. I. 47 5
[15]	Kapat S, Banerjee S, Patra A 2010 IEEE Trans. Circuits Syst. I. 57 7
[16]	Wang J P, Bao B C, Xu J P, Zhou G H, Hu W 2012 IEEE Trans. Ind. Electron. 60 5
[17]	Jain P, Banerjee S 2003 Int. J. Bifurcat. Chaos. 13 11
[18]	Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 5
[19]	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]
[20]	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]

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