Analysis of information entropy of DC-DC converter

Li Xian-Rui; Zhu Yan-Li

doi:10.7498/aps.63.238401

Abstract

In order to identify the DC-DC converter system behavior with different feedback coefficient k, we propose a method, which adopts the ideas of limit and the information about entropy to estimate the DC-DC converter nonlinear behavior by considering the characteristics that the stability of the system in a state of cycle and when the system is in chaos will not be repeated. This method analyses the entropy of the system in periodic and chaotic states and can quantify the period-doubling and chaos behaviors in DC-DC converters. In this paper, we simulate the first-order voltage feedback DCM Boost converter and DCM Buck converter. Results indicate that, according to the proposed information entropy, the bifurcation point, cycle number, and the location of the chaos can be accurately reflected. The above method improves the theory and method of the converter nonlinear dynamics analysis.

Keywords:

Authors and contacts

1.
Institute of Electronic CAD, Xidian University, Xi'an 710071, China;
2.
Key Laboratory of High-speed Circuit Design and EMC, Ministry of Education, Xidian University, Xi'an 710071, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. F040202) and the Fundamental Research Funds for the Central Universities of China (Grant No. JB140210).

References

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Cited By

[1]	Kapitaniak T (translated by Zhu S J, Yu X, Lou J J) 2008 Chaos for Engineers Theory, Applications, and Control (Beijing: National Defense Industry Press) p106 (in Chinese) [卡毕坦尼亚克著(朱石坚, 俞翔, 楼京俊译)面向工程的混沌学: 理论应用及控制2008 (北京: 科学出版社)第106页]
[2]	Liu F 2010 Chin. Phys. B 19 080511
[3]	Wang F Q, Ma X K 2013 Chin. Phys. B 22 050306
[4]	Wu S R, He S Z, Xu J P, Zhou G H, Wang J P 2013 Acta Phys. Sin. 62 218403 (in Chinese) [吴松荣, 何圣仲, 许建平, 周国华, 王金平 2013 62 218403]
[5]	Yang N N, Liu C X, Wu C J 2012 Chin. Phys. B 21 080503
[6]	Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[7]	Chan W C Y, Tse C K 1997 IEEE Power Electronics Specialists Conference 2 1317
[8]	Tse C K, Lai Y M, Iu H H C 2000 IEEE Trans. Circ. Syst. I 47 448
[9]	Yuan G H, Banerjee S, Ott E, Yorke J A 1998 IEEE Trans. Circ. Syst. I 45 707
[10]	Wang X M, Zhang B, Qiu D Y, Chen L G 2008 Acta Phys. Sin. 57 6112 (in Chinese) [王学梅, 张波, 丘东元, 陈良刚 2008 57 6112]
[11]	Xu H M, Jin Y G, Guo S X 2013 Acta Phys. Sin. 62 248401 (in Chinese) [徐红梅, 金永镐, 郭树旭 2013 62 248401]
[12]	Tian Z Q, Zhou Y 2002 J. Inner Mongolia Normal Univ. 31 347 (in Chinese) [田振清, 周越2002内蒙古师范大学学报31 347]
[13]	Tse C K 1994 IEEE Trans. Circ. Syst. I 41 16
[14]	Yu W B 2008 Experiment and Analysis of Chaos (Beijing: Science Press) p27 (in Chinese) [于万波2008 (北京: 科学出版社)第27页]
[15]	Hao B L 1993 Starring with Parabolas An Introduction to Chaotic Dynamics (Shanghai: Shanghai Scientific and Technological Education Publishing House) p19 (in Chinese) [郝柏林1993 从抛物线谈起-混沌动力学引论 (上海: 上海科技教育出版社)第19页]
[16]	Tse C K 1994 Int. J. Circ. Theory Appl. 22 263

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Catalog

Vol. 63, Issue 23 - 2014-12-05

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