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电感电流连续模式下Boost变换器的分数阶建模与仿真分析
引用本文:王发强,马西奎.电感电流连续模式下Boost变换器的分数阶建模与仿真分析[J].物理学报,2011,60(7):70506-070506.
作者姓名:王发强  马西奎
作者单位:西安交通大学电气工程学院电力设备电气绝缘国家重点实验室,西安 710049
基金项目:国家自然科学基金(批准号:51007068),高等学校博士学科点专项科研基金(批准号:20100201120028),中央高校基本科研业务专项资金和电力设备电气绝缘国家重点实验室(批准号:EIPE10303)资助的课题.
摘    要:基于分数阶微积分理论以及实际电容和实际电感在本质上是分数阶的事实,建立电感电流连续模式下Boost变换器的分数阶数学模型以及分数阶状态平均模型并进行理论分析,给出Boost变换器运行于电感电流连续模式下的参数条件.最后,基于Matlab/Simulink软件建立运行于电感电流连续模式下Boost变换器的分数阶仿真模型,并进行数值仿真分析以验证分数阶建模与理论分析的正确性. 关键词: Boost变换器 电感电流连续模式 分数阶微积分 数值仿真

关 键 词:Boost变换器  电感电流连续模式  分数阶微积分  数值仿真
收稿时间:3/2/2011 12:00:00 AM

Fractional order modeling and simulation analysis of Boost converter in continuous conduction mode operation
Wang Fa-Qiang and Ma Xi-Kui.Fractional order modeling and simulation analysis of Boost converter in continuous conduction mode operation[J].Acta Physica Sinica,2011,60(7):70506-070506.
Authors:Wang Fa-Qiang and Ma Xi-Kui
Institution:State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract:Based on fractional calculus and the fact that the capacitor and the inductor are fractional in nature, the fractional mathematical model and the fractional state averaged model of the Boost converter in continuous conduction mode operation are built and analyzed. Also, the condition for the continuous conduction mode operation of the Boost converter is given. Finally, in order to verify the theoretical analysis, the simulation model of the Boost converter in continuous conduction mode operation is established by using the software of Matlab/Simulink.
Keywords:Boost converter  continuous conduction mode  fractional calculus  numerical simulation
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