Axisymmetric Coil Design with Improved Inductance Using Geometric Mean Distance Simulation

In systems that transmit power or signals using magnetic fields, such as wireless power transmission, sensors, and RFID, the inductance of the coil has a significant effect on the transmission performance. It is simple to mathematically calculate the inductance of a single filament coil, but there are not many studies on calculating the inductance of a coil having an arbitrary cross section. In this paper, a geometric mean distance simulation was programmed and used to calculate the inductance. The inductance of the rectangular section coil was calculated and verified through finite element simulation, and the aspect ratio of the rectangular section coil with the maximum mutual inductance was obtained. In addition, the shape of the cross-section of the coil having a higher mutual inductance than that of a rectangular-section coil was presented, and the results showed that a coils with right triangular and quarter-elliptical cross-section had a higher mutual inductance.