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

[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

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

[1]	Wang Ting-Ting, Liang Zong-Wen, Zhang Ruo-Xi. Importance evaluation method of complex network nodes based on information entropy and iteration factor. Acta Physica Sinica, 2023, 72(4): 048901. doi: 10.7498/aps.72.20221878
[2]	Xu Zi-Fei, Miao Wei-Pao, Li Chun, Jin Jiang-Tao, Li Shu-Jun. Nonlinear feature extraction and chaos analysis of flow field. Acta Physica Sinica, 2020, 69(24): 249501. doi: 10.7498/aps.69.20200625
[3]	Li Shuang, Li Qian, Li Jiao-Rui. Mechanism for the coexistence phenomenon of random phase suppressing chaos and stochastic resonance in Duffing system. Acta Physica Sinica, 2015, 64(10): 100501. doi: 10.7498/aps.64.100501
[4]	Chen Yun-Long, Wu Xin. Application of force gradient symplectic integrators to the circular restricted three-body problem. Acta Physica Sinica, 2013, 62(14): 140501. doi: 10.7498/aps.62.140501
[5]	Xu Hong-Mei, Jin Yong-Gao, Guo Shu-Xu. Entropy in voltage mode controlled discontinuous conducting mode DC-DC converters. Acta Physica Sinica, 2013, 62(24): 248401. doi: 10.7498/aps.62.248401
[6]	Wang Guang-Yi, Yuan Fang. Cascade chaos and its dynamic characteristics. Acta Physica Sinica, 2013, 62(2): 020506. doi: 10.7498/aps.62.020506
[7]	Yao Tian-Liang, Liu Hai-Feng, Xu Jian-Liang, Li Wei-Feng. Noise-level estimation of noisy chaotic time series based on the invariant of the largest Lyapunov exponent. Acta Physica Sinica, 2012, 61(6): 060503. doi: 10.7498/aps.61.060503
[8]	Xie Wen-Xian, Cai Li, Yue Xiao-Le, Lei You-Ming, Xu Wei. Information entropies and dynamics in the stochastic ecosystem of two competing species. Acta Physica Sinica, 2012, 61(17): 170509. doi: 10.7498/aps.61.170509
[9]	Zang Hong-Yan, Fan Xiu-Bin, Min Le-Quan, Han Dan-Dan. Research of Lyapunov exponent of S-boxes. Acta Physica Sinica, 2012, 61(20): 200508. doi: 10.7498/aps.61.200508
[10]	Wang Qi-Guang, Feng Ai-Xia, Gong Zhi-Qiang, Huang Yan. Spatiotemporal analysis of information entropy of the global temperature. Acta Physica Sinica, 2011, 60(9): 099204. doi: 10.7498/aps.60.099204
[11]	Niu Chao, Li Xi-Hai, Liu Dai-Zhi. Chaotic dynamic characteristics of Z component in geomagnetic variation field. Acta Physica Sinica, 2010, 59(5): 3077-3087. doi: 10.7498/aps.59.3077
[12]	Xu Zhe, Liu Chong-Xin, Yang Tao. Study on a new chaotic system with analysis and circuit experiment. Acta Physica Sinica, 2010, 59(1): 131-139. doi: 10.7498/aps.59.131
[13]	Zhang Chun-Tao, Ma Qian-Li, Peng Hong. Chaotic time series prediction based on information entropy optimized parameters of phase space reconstruction. Acta Physica Sinica, 2010, 59(11): 7623-7629. doi: 10.7498/aps.59.7623
[14]	Zhang Xiao-Dan, Liu Xiang, Zhao Pin-Dong. Methods for calculating the main-axis Lyapunov exponents of a type of chaotic systems with delay. Acta Physica Sinica, 2009, 58(7): 4415-4420. doi: 10.7498/aps.58.4415
[15]	Zhang Yong, Guan Wei. Predication of multivariable chaotic time series based on maximal Lyapunov exponent. Acta Physica Sinica, 2009, 58(2): 756-763. doi: 10.7498/aps.58.756
[16]	Yu Si-Yao, Guo Shu-Xu, Gao Feng-Li. Calculation of the Lyapunov exponent for low frequency noise in semiconductor laser and chaos indentification. Acta Physica Sinica, 2009, 58(8): 5214-5217. doi: 10.7498/aps.58.5214
[17]	Liu Jin-Hai, Zhang Hua-Guang, Feng Jian. Investigation of chaotic behavior for press time series of oil pipeline. Acta Physica Sinica, 2008, 57(11): 6868-6877. doi: 10.7498/aps.57.6868
[18]	Wang Xue-Mei, Zhang Bo, Qiu Dong-Yuan, Chen Liang-Gang. Symbolic time series characterization and block entropy analysis of DC-DC converters. Acta Physica Sinica, 2008, 57(10): 6112-6119. doi: 10.7498/aps.57.6112
[19]	Sheng Li-Yuan, Sun Ke-Hui, Li Chuan-Bing. Study of a discrete chaotic system based on tangent-delay for elliptic reflecting cavity and its properties. Acta Physica Sinica, 2004, 53(9): 2871-2876. doi: 10.7498/aps.53.2871
[20]	LI GUO-HUI, ZHOU SHI-PING, XU DE-MING, LAI JIAN-WEN. AN OCCASIONAL LINEAR FEEDBACK APPROACH TO CONTROL CHAOS. Acta Physica Sinica, 2000, 49(11): 2123-2128. doi: 10.7498/aps.49.2123

Catalog

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

Metrics

Abstract views: 6254
PDF Downloads: 489
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板