搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

电感电流连续模式下Boost变换器的分数阶建模与仿真分析

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

王发强, 马西奎
PDF
导出引用
导出核心图
  • 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.
    • 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.
    [1]

    Zhang W P 2006 Modeling and control of switching converter (Bejing: China Electric Power Press) chapt. 1,6 (in Chinese) [张卫平 2006 开关变换器的建模与控制(北京:中国电力出版社)第一,六章]

    [2]

    Zhao Y B, Luo X S, Fang J Q, Wang B H 2005 Acta Phys. Sin. 54 5022 (in Chinese) [赵益波、罗晓曙、方锦清、汪秉宏 2005 物理学报 54 5022]

    [3]

    Jonscher A K 1983 Dielectric relaxation in solids (London: Chelsea Dielectric Press) chapt. 3

    [4]

    Bohannan G W 2002 Proc. of the 41st IEEE Int. Conf. on Decision and Control, Tutorial Workshop 2: Fractional Calculus Applications in Automatic Control and Robotics 1

    [5]

    Westerlund S, Ekstam L 1994 IEEE Trans. Dielectr. Electr. Insul. 1 826

    [6]

    Westerlund S 2002 Dead matter has memory (Kalmar, Sweden: Causal Consulting) chapt. 7

    [7]

    Petr I 2008 Chaos Soliton. Fract. 38 140

    [8]

    Jesus I S, Tenreiro Machado J A 2009 Nonlinear Dyn. 56 45

    [9]

    Ahmad W 2003 Proc. of the 2003 Int. Symposium on Circuits and Systems 3 III.5

    [10]

    Martínez R, Bolea Y, Grau A, Martínez H 2009 IEEE Conf. on Emerging Technologies & Factory Automation 1

    [11]

    Podlubny I 1999 Fractional differential equations (New York: Academic Press) chapt. 1-2,4.

    [12]

    Zhang Z S, Cai X S 2006 The Principle and Design of Switching Power Supply (Beijing: Publishing House of Electronics Industry) chapt. 2 (in Chinese) [张占松、蔡宣三 2006 开关电源的原理与设计 (北京:电子工业出版社)第二章]

    [13]

    Duan J S, An J Y, Xu M Y 2007 Appl. Math. J. Chinese Univ. Ser. B 22 7

    [14]

    Yang Y, Pei Y Q, Wang Z A 2004 Switching Power supply technology (Beijing: China Machine Press) chapt. 4 (in Chinese) [杨旭、裴云庆、王兆安 2004 开关电源技术(北京:机械工业出版社)第四章]

    [15]

    Oustaloup A, Levron F, Mathieu B, Nanot F M 2000 IEEE Trans. Circuits Syst.-I 47 25

    [16]

    Xue D Y, Chen Y Q 2007 MATLAB Solutions to Mathematical Problems in Control (Tsinghua University Press) chapt. 9 (in Chinese) [薛定宇、陈阳泉 2007 控制数学问题的MATLAB求解 (北京:清华大学出版社)第九章]

  • [1]

    Zhang W P 2006 Modeling and control of switching converter (Bejing: China Electric Power Press) chapt. 1,6 (in Chinese) [张卫平 2006 开关变换器的建模与控制(北京:中国电力出版社)第一,六章]

    [2]

    Zhao Y B, Luo X S, Fang J Q, Wang B H 2005 Acta Phys. Sin. 54 5022 (in Chinese) [赵益波、罗晓曙、方锦清、汪秉宏 2005 物理学报 54 5022]

    [3]

    Jonscher A K 1983 Dielectric relaxation in solids (London: Chelsea Dielectric Press) chapt. 3

    [4]

    Bohannan G W 2002 Proc. of the 41st IEEE Int. Conf. on Decision and Control, Tutorial Workshop 2: Fractional Calculus Applications in Automatic Control and Robotics 1

    [5]

    Westerlund S, Ekstam L 1994 IEEE Trans. Dielectr. Electr. Insul. 1 826

    [6]

    Westerlund S 2002 Dead matter has memory (Kalmar, Sweden: Causal Consulting) chapt. 7

    [7]

    Petr I 2008 Chaos Soliton. Fract. 38 140

    [8]

    Jesus I S, Tenreiro Machado J A 2009 Nonlinear Dyn. 56 45

    [9]

    Ahmad W 2003 Proc. of the 2003 Int. Symposium on Circuits and Systems 3 III.5

    [10]

    Martínez R, Bolea Y, Grau A, Martínez H 2009 IEEE Conf. on Emerging Technologies & Factory Automation 1

    [11]

    Podlubny I 1999 Fractional differential equations (New York: Academic Press) chapt. 1-2,4.

    [12]

    Zhang Z S, Cai X S 2006 The Principle and Design of Switching Power Supply (Beijing: Publishing House of Electronics Industry) chapt. 2 (in Chinese) [张占松、蔡宣三 2006 开关电源的原理与设计 (北京:电子工业出版社)第二章]

    [13]

    Duan J S, An J Y, Xu M Y 2007 Appl. Math. J. Chinese Univ. Ser. B 22 7

    [14]

    Yang Y, Pei Y Q, Wang Z A 2004 Switching Power supply technology (Beijing: China Machine Press) chapt. 4 (in Chinese) [杨旭、裴云庆、王兆安 2004 开关电源技术(北京:机械工业出版社)第四章]

    [15]

    Oustaloup A, Levron F, Mathieu B, Nanot F M 2000 IEEE Trans. Circuits Syst.-I 47 25

    [16]

    Xue D Y, Chen Y Q 2007 MATLAB Solutions to Mathematical Problems in Control (Tsinghua University Press) chapt. 9 (in Chinese) [薛定宇、陈阳泉 2007 控制数学问题的MATLAB求解 (北京:清华大学出版社)第九章]

  • 引用本文:
    Citation:
计量
  • 文章访问数:  5954
  • PDF下载量:  1206
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-03-02
  • 修回日期:  2011-03-22
  • 刊出日期:  2011-07-15

电感电流连续模式下Boost变换器的分数阶建模与仿真分析

  • 1. 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.

English Abstract

参考文献 (16)

目录

    /

    返回文章
    返回