Modeling and Analysis of Inductive Power Transfer System With Passive Matrix Power Repeater

This paper presents a detailed modeling and analysis of an inductive power transfer (IPT) system with a passive matrix power repeater. A high-order mathematical model is established to characterize the output power by taking all the mutual inductances among the primary, secondary, and the unit cells of matrix power repeaters into considerations. The model is used to analyze the relationship between the output power and the operating frequency of an IPT system with a 3 × 3 matrix power repeater. The study shows the optimal operating frequencies corresponding to maximum and minimum power transfer exist owing to the interactions among the magnetic fields generated by the primary current and induced currents of the unit cells of the matrix power repeater. The theoretical optimal frequencies for obtaining the maximum and minimum output power are determined by numerical analysis based on the proposed model, and they are verified by circuit simulation and experimental study within an error of 2%. The results are useful for power flow controller design with enhanced and reduced power regulation range.