[1]郑 征,马方军,韦延方.基于Caputo定义的单相PWM整流器建模分析[J].南京理工大学学报(自然科学版),2016,40(05):581.[doi:10.14177/j.cnki.32-1397n.2016.40.05.013]
 Zheng Zheng,Ma Fangjun,Wei Yanfang.Modeling analysis of single-phase PWM rectifier based on Caputo definition[J].Journal of Nanjing University of Science and Technology,2016,40(05):581.[doi:10.14177/j.cnki.32-1397n.2016.40.05.013]
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基于Caputo定义的单相PWM整流器建模分析
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
40卷
期数:
2016年05期
页码:
581
栏目:
出版日期:
2016-10-30

文章信息/Info

Title:
Modeling analysis of single-phase PWM rectifier based on Caputo definition
文章编号:
1005-9830(2016)05-0581-08
作者:
郑 征马方军韦延方
河南理工大学 电气工程与自动化学院,河南 焦作 454000
Author(s):
Zheng ZhengMa FangjunWei Yanfang
School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,China
关键词:
分数阶微积分 Caputo定义 脉冲宽度调制整流器 瞬时功率理论
Keywords:
fractional calculus Caputo definition pulse width modulation rectifiers instantaneous power theory
分类号:
TM461
DOI:
10.14177/j.cnki.32-1397n.2016.40.05.013
摘要:
基于实际电感和电容是分数阶的事实,该文以分数阶微积分Caputo定义为数学理论基础,以单相脉冲宽度调制(PWM)整流器为研究对象,建立了分数阶数学模型。采用瞬时功率理论,针对直流侧电容电压的直流分量、交流分量、动态响应时间等问题,得出分数阶理论建模和整数阶理论建模的异同点。搭建了基于Matlab/Simulink的仿真模型,仿真结果表明,当电容阶数变化时,直流分量的大小不变化,交流分量峰值变化明显,动态响应时间也有所改变。通过RT-lab的半实物实时仿真实验,验证了分数阶建模与理论分析的有效性和必要性。
Abstract:
Taking the single-phase pulse width modulation(PWM)rectifier as the research object,a fractional mathematical model is established here based on the mathematical theory of the Caputo definition of fractional calculus and the fact that the actual inductance and capacitance are the fractional order.By using the instantaneous power theory,the similarities and differences between the fractional order theory modeling and the integer order theory modeling are obtained for the issues of the direct current(DC)capacitor voltage of the alternating current(AC)component,the DC component,and the dynamic response time.A simulation model is builded based on the Matlab/Simulink,and the simulate results show that the DC component value does not change with the capacitance order while the peak value of the AC component and the dynamic response time change respectively.The validity and the necessity of the fractional modeling and the theoretical analysis are verified based on the semi-physical real-time simulation of the RT-lab.

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备注/Memo

备注/Memo:
收稿日期:2015-12-20 修回日期:2016-04-01
基金项目:国家自然科学基金(61340015); 河南省国际联合项目(144300510014); 河南省自然科学基金(142102210048)
作者简介:郑征(1965-),女,博士,教授,主要研究方向:电力电子与电力传动,E-mail:zhengzh@hpu.edu.cn; 通讯作者:马方军(1987-),男,硕士生,主要研究方向:电力电子与电力传动,E-mail:mafangjun0@126.com。
引文格式:郑征,马方军,韦延方.基于Caputo定义的单相PWM整流器建模分析[J].南京理工大学学报,2016,40(5):581-588.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2016-10-30