Modeling of the dynamics of a resonant wireless power transfer circuit

This paper deals with the modeling of the voltage and current dynamics in a resonant Wireless Power Transfer (WPT) circuit in the view of their control. The high-frequency operation of the circuit calls for the selection of appropriate quantities to be considered and for the development of specific methods to be used for describing their dynamics. In the paper, three methods developed for this purpose are presented and discussed. They are the Generalized State-Space Averaging (GSSA), Laplace Phasor Transform (LPT) and Modulated Variable Laplace Transform (MVLT) methods, where the latter one is here proposed. Afterwards, the receiving circuit of a series-resonant WPT charger of an electric vehicle is picked up as a study case, and the model of its dynamics is worked out by the three methods. At last, the accuracy of the resulting models is evaluated by checking their step response against that of the study case as obtained by simulation.