Comparison of Fractional Order Modelling and Integer Order Modelling of Fractional Order Buck Converter in Continuous Condition Mode Operation

Ali Moshar Movahed, Heydar Toossian Shandiz, Syed Kamal Hosseini Sani

Comparison of Fractional Order Modelling and Integer Order Modelling of Fractional Order Buck Converter in Continuous Condition Mode Operation

Číslo: 5/2016
Periodikum: Advances in Electrical and Electronic Engineering
DOI: 10.15598/aeee.v14i5.1635

Klíčová slova: Approximation; averaged circuit model; buck converter; fractional calculus; fractional transfer function, Přiblížení; Průměrný obvodový model; Frakční počet; Částečná přenosová funkce.

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Anotace: 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.