A Fourier-Based Semi-Analytical Model for Foil-Wound Solid-State Transformers

A mesh-free semi-analytical Fourier-based method is presented to evaluate the frequency-dependent losses in windings of solid-state transformers (SSTs) with foil-wound transformers. In employed diffusion equation, which accounts for induced eddy currents, imposed current density and conductivity transformer window area are represented using spatial Fourier series images. As a result, distribution foil conductors ac loss medium frequency (MFTs) calculated method. The proposed verified finite element (FEM). It observed that considered approach one can estimate winding range 5–25 kHz, 2.7% maximum absolute error approximately 2.5 times less number degrees-of-freedom compared FEM computations.