Comparison of fractional order modelling and integer order modelling of fractional order buck converter in continuous condition mode operation

Abstract

Producing a mathematical model with high accuracy is the first and important step in control of systems. Nowadays fractional calculus has been in the spotlight and it has a lot of application especially in control engineering. Fractional modelling on one of the conventional converters is done in this paper. Fractional state space model and related fractional transfer functions for a fractional DC/DC Buck converter is established and achieved results are compared to integer order models. At the end of this paper Oustaloup's recursive approximation is introduced and imposed for one of gathered fractional transfer function.