Calculation of self- and mutual inductances of rounded rectangular coils with rectangular cross-sections and misalignments

Abstract

Rounded rectangular coils are more common in wireless power applications. It is important in practical engineering to calculate the self- and mutual inductances of rounded rectangular coils. A new model of the self- and mutual inductances of rounded rectangular coils with rectangular cross-sections is derived in this study. The proposed formulae are applicable not only to the rounded rectangular coils, but also to the extreme cases such as circular, rectangular, and race-track coils. The coil layouts including coaxial alignment and lateral misalignments are also discussed. Comparison of calculated self- and mutual inductances with experimental observations is provided and an excellent agreement between the two proves the feasibility of the proposed formulae.