Dynamic phaser modeling of inductive power transfer system and its state feedback design

Inductive Power Transfer (IPT) system makes use of high frequency inverter and resonant compensation network to transmit power without any electric contact, which makes power transfer more convenient and safer. IPT system is a high order and nonlinear system, modeling and analysis of such a system is complicated because its state variables like inductor currents and capacitor voltages present rapid oscillation characteristics. Dynamic phasor modeling method is originated from the idea that maps the time variant state variables to stationary frame for each frequency of interest. The original AC variables can be approximated with a limited number of Fourier series, thus the derived system model can be simplified and linearized through state feedback, and then be used for close loop controller design and dynamic response analysis.