电压控制不连续导电模式DC-DC变换器的熵特性研究

徐红梅; 金永镐; 郭树旭

doi:10.7498/aps.62.248401

摘要

结合DC-DC变换器非线性特性随反馈增益k变化的关系，以及熵能够反映序列总体统计特征的特点，提出一种基于熵估计DC-DC变换器非线性行为的新方法. 以一阶电压反馈不连续导电模式 DCM Buck和Boost变换器为例，详细分析了不同反馈增益k和初值x0形成的数值序列及熵的分布情况. 研究结果表明：DC-DC变换器的熵由反馈增益k决定，与初值x0无关，最终小于理论极大值log2N （N为统计区间个数）；熵能够准确区分DC-DC变换器的倍周期分岔和混沌行为，从而得到一种新的可量化的DC-DC变换器非线性动力学行为指标；完善了该类变换器非线性动力学分析的理论和方法.

关键词:

DC-DC变换器 /
熵 /
混沌 /
反馈增益k

Abstract

Considering that the variation of nonlinear characteristics of DC-DC converter with parameter k and the fact that entropy can reflect the statistical characteristic of numerical sequence, in this paper we propose a new method to estimate the nonlinear characteristics of DC-DC converter based on the information about entropy. In this study, taking one-order DCM Buck and Boost converter for example, the distributions of numerical sequences and entropies are analysed under different values of feedback gain k and initial values of x0. The results prove that the entropy of DC-DC converter is determined by feedback gain k and irrelevant to initial value x0, and its final value is smaller than the theoretical maximum value log2N (N is the number of partition), and that entropy can discriminate the period-doubling bifurcation and chaos. So a quantifiable nonlinear dynamical behavior index is obtained which can provide theoretical basis for understanding chaos characteristic and chaos control, and perfect the theoretical analysis method in DC-DC converters.

Keywords:

作者及机构信息

1.
吉林大学电子科学与工程学院, 长春 130012;

2.
延边大学工学院, 延吉 133002

基金项目: 吉林省科技厅（批准号：201115224）资助的课题.

Authors and contacts

1.
College of Electronic Science and Engineeing, Jilin University, Changchun 130012, China;

2.
College of Engineeing, Yanbian University, Yanji 133002, China

Funds: Project supported by the Science and Technology Department of Jilin Province, China (Grant No. 201115224).

参考文献

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[17]	Zhusubaliyev Z T, Mosekilde E, Yanochkina O O 2011 IEEE Trans. Power Electron. 26 1270
[18]	Zhou Y F, Chen J N, Tse C K, Qiu S S, Ke D M, Shi L X, Sun W F 2004 Acta Elec. Sin. 32 264 (in Chinese) [周宇飞, 陈军宁, 谢智刚, 丘水生, 柯导明, 时龙兴, 孙伟锋 2004 电子学报 32 264]
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[20]	Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
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施引文献

[1]	Wu C H, Chen C L 2009 IEEE Trans. Circuits Syst. II 56 763
[2]	Hsieh C Y, Chen K H 2009 IEEE J. Solid-State Circuits 44 2568
[3]	Liu X, Guo S X, Chang Y C, Zhu S D, Wang S 2009 J. Chin. Univ. Posts Telecommun. 16 98
[4]	Ma Y, Kawakami H, Tse C K 2004 IEEE Trans. Circuit Syst. I 51 1184
[5]	Zou Y L, Luo X S, Chen G R 2006 Chin. Phys. 15 1719
[6]	De S, Dutta P S, Banerjee S 2012 Phys. Lett. A 376 400
[7]	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, 孙伟锋 2004 物理学报 53 3676]
[8]	Toribio E, El Aroudi A, Olivar G, Benadero L 2000 IEEE Trans. Power Electron 15 1163
[9]	Zhusubaliyev Z T, Mosekilde E, De S, Banerjee S 2008 Phys. Rev. E 77 026206
[10]	Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[11]	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]
[12]	Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[13]	Chen X, Qiu S S 2010 Acta Phys. Sin. 59 7630 (in Chinese) [陈旭, 丘水生 2010 物理学报 59 7630]
[14]	Ren H P, Liu D 2005 Chin. Phys. 14 1352
[15]	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]
[16]	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]
[17]	Zhusubaliyev Z T, Mosekilde E, Yanochkina O O 2011 IEEE Trans. Power Electron. 26 1270
[18]	Zhou Y F, Chen J N, Tse C K, Qiu S S, Ke D M, Shi L X, Sun W F 2004 Acta Elec. Sin. 32 264 (in Chinese) [周宇飞, 陈军宁, 谢智刚, 丘水生, 柯导明, 时龙兴, 孙伟锋 2004 电子学报 32 264]
[19]	Li M, Ma X K, Dai D, Zhang H 2005 Acta Phys. Sin. 54 1084 (in Chinese) [李明, 马西奎, 戴栋, 张浩 2005 物理学报 54 1084]
[20]	Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
[21]	Xie F, Yang R, Zhang B 2012 Acta Phys. Sin. 61 110504 (in Chinese) [谢帆, 杨汝, 张波 2012 物理学报 61 110504]
[22]	Fu Z Y 2001 Information Theory (Beijing: Electronics Industry Press) p24 (in Chinese) [傅祖芸2001信息论(北京: 电子工业出版社) 第24页]
[23]	Tse C K 1994 Int. J. Circuit Theory Appl. 22 263
[24]	Tse C K 1994 IEEE Trans. Circuit Syst. I 42 16

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