|
|
Modeling and dynamics analysis of the fractional-order Buck–Boost converter in continuous conduction mode |
Yang Ning-Ning (杨宁宁)a b, Liu Chong-Xin (刘崇新)a b, Wu Chao-Jun (吴朝俊 )a b |
a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
|
|
Abstract In this paper, the fractional-order mathematical model and the fractional-order state-space averaging model of the Buck-Boost converter in continuous conduction mode (CCM) are established based on the fractional calculus and the Adomian decomposition method. Some dynamical properties of the current-mode controlled fractional-order Buck-Boost converter are analysed. The simulation is accomplished by using SIMULINK. Numerical simulations are presented to verify the analytical results. And we find that bifurcation points will be moved backward as α and β vary. At the same time, the simulation results show that the converter goes through different routes to chaos.
|
Received: 05 December 2011
Revised: 27 February 2012
Accepted manuscript online:
|
PACS:
|
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
84.30.Jc
|
(Power electronics; power supply circuits)
|
|
45.10.Hj
|
(Perturbation and fractional calculus methods)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51177117) and the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20100201110023). |
Corresponding Authors:
Yang Ning-Ning
E-mail: ningning.yang@stu.xjtu.edu.cn
|
Cite this article:
Yang Ning-Ning (杨宁宁), Liu Chong-Xin (刘崇新), Wu Chao-Jun (吴朝俊 ) Modeling and dynamics analysis of the fractional-order Buck–Boost converter in continuous conduction mode 2012 Chin. Phys. B 21 080503
|
[1] |
Nigmatullin R R, Arbuzov A A, Salehli F, Giz A, Bayrak I and Catalgil G L 2007 Physica B 388 418
|
[2] |
Westerlund S 1994 IEEE Transactions on Dielectrics and Electrical Insulation 1 826
|
[3] |
Wu C J, Zhang Y B and Yang N N 2011 Chin. Phys. B 20 060505
|
[4] |
Westerlund S 2002 Dead Matter Has Memory! (Kalmar, Sweden: Causal Consulting) Chap. 7
|
[5] |
Podlubny I 1999 Fractional Differential Equations (San Diego: Academic Press) Chap. 2
|
[6] |
Nakagava M and Sorimachi K 1992 IEICE Trans Fundam E75-A 1814
|
[7] |
Jonscher A K 1983 Dielectric Relaxation in Solids (London: Chelsea Dielectric Press) Chap. 3
|
[8] |
Petras I 2008 Chaos, Solitons and Fractals 38 140
|
[9] |
Cisse Haba T, Ablart G, Camps T and Olivie F 2005 Chaos, Solitons and Fractals 24 479
|
[10] |
Cisse Haba T, Loum G L and Ablart G 2007 Chaos, Solitons and Fractals 33 364
|
[11] |
Cisse Haba T, Loum G L, Zoueu J T and Ablart G 2008 J. Appl. Sci. 8 59
|
[12] |
Jesus I S and Tenreiro M J A 2009 Nonlinear Dyn. 56 45
|
[13] |
Wang F Q and Ma X K 2011 Acta Phys. Sin. 60 070506 (in Chinese)
|
[14] |
Tenreiro M J A 1997 Journal Systems Analysis Modelling Simulation 27 107
|
[15] |
Torvik P J and Bagley R L 1984 Trans. ASME 51 294
|
[16] |
Zhang W P 2005 The Modeling and Control of the Switching Power Supply (Beijing: China Electric Power Press) Chap. 1 (in Chinese)
|
[17] |
Zhang Z S and Cai X S 2006 The Principle and Design of Switching Power Supply (Beijing: Publishing House of Electronics Industry) Chap. 2 (in Chinese)
|
[18] |
Yang X, Pei Y Q and Wang Z A 2004 Switching Power Supply Technology (Beijing: China Machine Press) Chap. 4 (in Chinese)
|
[19] |
Duan J S, An J Y and Xu M Y 2007 Appl. Math. J. Chin. Univ. Ser. B 22 7
|
[20] |
Xue D Y, Zhao C N and Chen Y Q 2006 Proceedings of IEEE International Conference on Mechatronics and Automation p. 1043
|
[21] |
Xue D Y and Chen Y Q 2007 MATLAB Solution to Mathematical Problems in Control (Beijing: Tsinghua University Press) Chap. 9 (in Chinese)
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|