Calculation of Capacitance in High-Frequency Transformer Windings

Abstract

The high-frequency transformer is an important device in the modern electrical system, and the performance requirement for this device has recently become more and more important. Thus, it is necessary to model high-frequency transformer accurately and the key is to calculate the capacitance. In this paper, the capacitance of the foil winding in the high-frequency transformer is calculated by using the static capacitance model and the finite-element method (FEM), respectively. The relative error is about 0.4% by comparing the FEM. To calculate the capacitance of solid wire accurately, a new static capacitance model is proposed considering that the actual electric field lines gradually changed in the windings. Compared with the finite-element model, the proposed model is more accurate than the traditional models. The capacitances of two wires calculated by the proposed model and the finite-element model are 115.56 and 114.76 pF, respectively. The dynamic capacitance of transformer windings is analyzed by considering the uneven charge distribution. A dynamic capacitance analytical model is present by considering the eddy current effect. The result of the dynamic capacitance is 49.81 pF. It is found that the dynamic capacitance is lower than the static capacitance according to the static capacitance and the dynamic capacitance analytical model.