Analytical calculation of mutual coupling between two misaligned rectangular coils with rectangular cross-section in wireless power applications

An analytic model to calculate the mutual coupling between two misaligned rectangular coils with a wide range of aspect ratios of rectangular cross-section is proposed. The model can analyze all possible layouts of two parallel rectangular coils including coaxial alignment, lateral misalignment, rotational misalignment, and combinations of them. The effects of misalignments, geometry, and cross-sections of rectangular coils are addressed by a single mathematical expression. An experimental setup has been built in order to validate the analytical calculation. Theoretical and experimental results are then compared to verify the effectiveness of the proposed model.