The complex ratio transformer model and its application in magnetic resonant WPT

Several Physical models for describing magnetic resonant WPT(wireless power transmission) include coupling-model theory, the leakage inductance model and the mutual inductance model. Among these models, mutual inductance model separates the magnetic coupling coils from each other, simplifying the circuit analysis. But mutual inductance model treats the impact of the secondary side on the primary side as vaguely defined reflective impedance. To equivalently transforming the secondary branch to the primary side, the complex ratio transformer model is established, providing an intuitive physical picture in power transmission process, magnetic resonance (MR) and frequency splitting phenomenon. Finally, the corresponding experimental validation was presented.