南京理工大学学报（自然科学版）2016，Vol.40Issue(5)：581-588,8.DOI:10.14177/j.cnki.32-1397n.2016.40.05.013
基于Caputo定义的单相PWM整流器建模分析
Modeling analysis of single-phase PWM rectifier based on Caputo definition
摘要
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.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Key words
fractional calculus/Caputo definition/pulse width modulation rectifiers/instantaneous power theory分类
信息技术与安全科学引用本文复制引用
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(5):581-588,8.基金项目
国家自然科学基金(61340015) （61340015）
河南省国际联合项目(144300510014) （144300510014）
河南省自然科学基金(142102210048) （142102210048）
