Abstract
The mutual inductance between coils is one of the important parameters of a system of coils. However, because the theoretical analysis of mutual inductances is difficult, a precise analysis of racetrack-shaped coils has not yet been conducted. Although a method that involves the use of the finite element method for obtaining an approximation is available, this study aims to obtain the analytical solution which enables the computation of values with very high accuracy. The authors propose a novel magnetic field analysis method for deriving the analytical solution for the magnetic field and for the self-inductance of the arbitrary-shaped coils. In this study, the analytical solution is derived for the mutual inductance using a novel analysis method and numerous experiments using coils of different shapes are carried out. The experimental results were almost identical to the theoretical results, confirming the validity of the proposed analysis method. Furthermore, the authors show that even when the specifications and arrangements of the coils are changed, computational analysis can be performed in a short time.
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