Modeling and dynamics analysis of the fractional-order Buck–Boost converter in continuous conduction mode

doi:10.1088/1674-1056/21/8/080503

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.

Keywords: fractional-order Buck-Boost converter modeling bifurcation numerical simulation

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

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Modeling and dynamics analysis of the fractional-order Buck–Boost converter in continuous conduction mode

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