Methodology for calculating the value of static capacitance between conductors of circular cross-section

This paper presents a methodology for calculating static capacitance values between conductors with a circular cross-section. Two forms of stacking the coil's windings were considered, perfectly in 90° and each layer embedded in the previous one. The method proposed in this paper is a modification of an already existing method. Finite element simulations were carried out to determine the capacitance values for 5×5 array arrangement, taking into account the two stacking forms. Different capacitances values for the neighboring turns were observed depending on the position of the loop in the array. In perfect stacking there are three different values of significant capacitances, the embedded stacking presents six values, due to the proximity of the conductors. The proposed method reduces the difference between the simulated and the calculated value of -19.84%, using the existing method, to 2.28%, considering the perfect stacking with conductor AWG 44 (American Wire Gauge). For the embedded stacking the difference decreases from -8.23% to -0.39%, considering the same case.