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.
Highlights
The irregular pollution of fossil fuel energy and climate changing with greenhouse gases have put renewable energy sources in the spotlight [1]
Integer Order Model tion but in this part fractional characteristic is considered for Buck converter and this feature is represented by (α, β)
In order to emphasis the importance of fractional order modeling for a fractional order Buck converter, real time simulation was done and compare to integer order model with the same duty cycle
Summary
The irregular pollution of fossil fuel energy and climate changing with greenhouse gases have put renewable energy sources in the spotlight [1]. Most of the engineers and researches have considered integer order models for all systems including power electronic systems and devices which are made up of fractional components in nature [5]. The conventional wisdom is that the electrical elements like inductors and capacitors are integer order in nature but the reality is different. At 1 kHz frequency and room temperature They found that the fractional order is 0.9776 for capacitor with polyvinylidenefluoride as dielectric or 0.99911 for capacitor with polysulfide as dielectric and some other capacitor with different dielectric was measured and 0.97 is the amount of fractionality which gathered for an inductor with air core coil. In this paper an assumptive fractional order Buck converter is modeled and frequency analysis upon achieved fractional order transfer function is done. Definition 5 Laplace transform is the operator which is used in this paper It is given for Caputo fractional-order derivative as defined in Eq (6). (α) > 0, (β) > 0, E(.) is the Mittag-Leffler function
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
