The current thesis addresses the efficient electromagnetic modeling of the planar resonant wireless power transfer chains. Systems with spiral resonators made from thin, circular cross-sectional wire are dealt with. The modeling is based on a full-wave integral equation approach and the A-phi method.
Two different systems are proposed, one of which resonates around 13.8 MHz, and has a range of 0.5 m to 1 m, and one with the resonance frequency of 6.73 MHz, and the range of 1 m to 1.5 m. The constituent spirals' parameters were determined via an iterative process based on experimental results found in the literature. The final results here were validated against the results of FEM simulations.
Further on, both chains were undergone thorough investigation, mainly to determine the achievable maximum transmission efficiencies in various circumstances. Repeater resonators were also introduced to enhance the range of the transmission. It was found that compared to their remarkable effect on the efficiency, the increase of dissipated power is not significant. It is also proved here, that slight modifications on the structure of the chain itself, may result in impedance matching.
Finally, a modeling scheme is proposed for the studying of the skin and proximity effects in flat, parallel conductors. The method involves the plane wave decomposition of the EM field in order to tackle the problem of the singular Green's function.