Application of Fractional Calculus in Voltage Source Converters

Over the past several decades, Fractional Calculus (FC) arose as an excellent realistic approach. It is utilized broadly in numerous applications for modeling real objects more precisely than integer-order models. In this paper, frequency domain analysis on the mathematical model of fractional-order Voltage Source Converter (VSC) has been done. The modeling of fractional order VSC is done in a d-q domain. A stability analysis has been performed to validate the application of fractional-order VSC in the power system. The stability of the converter is checked using a bode plot, polar plot, and step response. The comparative study demonstrates a better stability response of fractional order VSC as compared to integer order VSC.