Fractional Modeling and Analysis of Buck Converter in CCM Mode Peration

In this paper, a fractional order averaged model is proposed for a DC/DC Buck converter in the continuous condition mode (CCM) of a wind turbine system. The DC/DC Buck converter is one of the main components, particularly in a stand-alone wind turbine system. Due to some practical restrictions, there were no input voltage and duty cycle of the converter, and therefore, the whole wind system was simulated by means of a computer, and the gathered data was used in the proposed method based on trial and error in order to find the fractional order of the converter. An obvious relationship was found between the controller performance and the mathematical model. A more accurate model leads us to a better controller, and this was confirmed by the simulation carried out in this work.