Till the moment, electric vehicles charging statically using stationary stations, microgrids or other known conventional methods still represents a big problem for this industry, and a worrying snag to users. Due to different problems of electric vehicles charging using static methods, most of recent electric vehicles' researches are interested in the subject of charging these vehicles using inductive power transfer (IPT) or the so-called dynamic charging. This method depends mainly on transformer theory. In this paper, an IPT system is proposed, modeled in state-space form, simulated using MATLAB package and analyzed. The IPT system analysis focused on calculating one of the main system parameters-magnetic coupling coefficient and finding its optimal value. At this value, the transient dynamic voltage and current response of the circuit is found. Also, a fractional order proportional-integral-derivative (FO-PID) controller is proposed to enhance and smoothen the power signals (Voltage and current).
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