Journal of System Simulation ›› 2017, Vol. 29 ›› Issue (4): 784-790.doi: 10.16182/j.issn1004731x.joss.201704011

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Fractional Modeling and Simulation Analysis of Single-Phase PWM Rectifier

Zheng Zheng, Ma Fangjun, Wei Yanfang   

  1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
  • Received:2015-06-30 Revised:2015-08-10 Online:2017-04-08 Published:2020-06-03

Abstract: The modeling problem of single-phase PWM rectifier was studied, based on the fact that actual capacitance and inductance is the fractional in nature. The mathematical model of single-phase PWM rectifier was established by using fractional calculus theory, based on modeling method analysis of fractional Caputo definition and PWM rectifier topology. According to instantaneous power theory, for DC component value, the peak to peak value AC component, and the time of dynamic response of the DC side capacitor voltage were analyzed. In theory, DC component value does not change with the order number capacitance, while the AC component is opposite, dynamic response time will be smaller and faster response speed by the capacitance order. A Matlab/Simulink simulation model of a single-phase PWM rectifier fractional model was established, and then simulation results verify the fractional modeling effectiveness and theoretical analysis.

Key words: fractional calculus, PWM rectifier, Caputo definition of modeling, the theory of instantaneous power

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