Fractional-Order Modeling and Steady-State Analysis of Single-Phase Quasi-Z-Source Pulse Width Modulation Rectifier

Abstract

This paper focuses on the fractional-order modeling and analysis of single-phase quasi-Z-source rectifier (qZSR), aims to extend the single-phase qZSR from integer-order domain to fractional-order domain. Additionally, it has been demonstrated explicitly the mechanism by which fractional-order inductors (FOIs) and fractional-order capacitors (FOCs) affect the operating features of fractional-order quasi-Z-source rectifier (FO-qZSR). The fractional-order circuit model is built based on oustaloup’s approximation method, the operational principle and control strategy of FO-qZSR, the expression of input current, inductor current, capacitor voltage and output voltage are also derived and analyzed in detail. Then, the above theoretical analysis is verified by simulation results by using the fotf toolbox in Matlab/Simulink, and the FO-qZSR presents more flexible and diverse operating features than integer-order qZSR. Finally, the hardware prototype is established with the help of the RT-LAB platform and the experimental results are consistent with the theoretical analysis and simulation results.

Keywords

• Fractional calculus
• fractional-order inductor
• fractional-order capacitor
• fractional-order PID controller
• quasi-Z-source rectifier