| Modeling and dynamics analysis of the fractional-order Buck—Boost converter in continuous conduction mode |
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| 引用本文： | 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. |
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| 作者姓名： | 杨宁宁 刘崇新 吴朝俊 |
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| 作者单位： | [1]State Key Laboratory of Electrical Insulation and Power Equipment, Xi＇an Jiaotong University, Xi＇an 710049, China [2]School of Electrical Engineering, Xi＇an Jiaotong University, Xi＇an 710049, China |
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| 基金项目： | 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）. |
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| 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.
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| 关 键 词： | fractional-order Buck-Boost converter modeling bifurcation numerical simulation |
| 收稿时间： | 2011-12-05 |
Modeling and dynamics analysis of the fractional-order Buck-Boost converter in continuous conduction mode |
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| Yang Ning-Ning,Liu Chong-Xin,Wu Chao-Jun.Modeling and dynamics analysis of the fractional-order Buck-Boost converter in continuous conduction mode[J].Chinese Physics B,2012,21(8):80503-080503. |
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| Authors: | Yang Ning-Ning Liu Chong-Xin Wu Chao-Jun |
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| Institution: | 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 |
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| 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. |
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| Keywords: | fractional-order Buck-Boost converter modeling bifurcation numerical simulation |
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