Analytical Calculation of Static Capacitance for High-Frequency Inductors and Transformers

This paper presents a modified methodology for calculating static capacitance values between conductors with a circular cross section. Two forms of coil's stacking were considered, perfectly in 90 degrees and each layer embedded in the previous one. Finite element simulations were carried out to determine the capacitance values for a 5 x 5 array arrangement, taking into account the two stacking forms. It was observed that depending on the position of the turn in the coil, it could present different capacitances values for the adjacent turns. A comparison between the proposed and existing methods for over isolated conductors was performed as well. The proposed method displayed good agreement with simulation and experimental results. The gain of the proposed method can be even more appreciated when comparing results for over insulated conductors.