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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 80503-080503.doi: 10.1088/1674-1056/21/8/080503

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

杨宁宁^{a b}, 刘崇新^{a b}, 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

收稿日期:2011-12-05 修回日期:2012-02-27 出版日期:2012-07-01 发布日期:2012-07-01
基金资助:
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).

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

Received:2011-12-05 Revised:2012-02-27 Online:2012-07-01 Published:2012-07-01
Contact: Yang Ning-Ning E-mail:ningning.yang@stu.xjtu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: fractional-order Buck-Boost converter, modeling, bifurcation, numerical simulation

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.

Key words: fractional-order Buck-Boost converter, modeling, bifurcation, numerical simulation

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Pq (Numerical simulations of chaotic systems) 84.30.Jc (Power electronics; power supply circuits) 45.10.Hj (Perturbation and fractional calculus methods)

杨宁宁, 刘崇新, 吴朝俊 . Modeling and dynamics analysis of the fractional-order Buck–Boost converter in continuous conduction mode[J]. 中国物理B, 2012, 21(8): 80503-080503.

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[J]. Chin. Phys. B, 2012, 21(8): 80503-080503.

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

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

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