TY - JOUR
T1 - A Fourier-based Semi-Analytical Model for Foil-Wound Solid-State-Transformers
AU - Pourkeivannour, Siamak
AU - Curti, Mitrofan
AU - Custers, Coen H.H.M.
AU - Cremasco, Andrea
AU - Drofenik, Uwe
AU - Lomonova, Elena A.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - A mesh-free semi-analytical Fourier-based method is presented to evaluate the frequency-dependent losses in the windings of solid-state transformers (SSTs) with foil-wound transformers. In the employed diffusion equation, which accounts for induced eddy currents, the imposed current density and conductivity in the transformer window area are represented using spatial Fourier series and method of images. As a result, induced current density distribution in foil conductors and ac loss in medium frequency transformers (MFTs) is calculated using the semi-analytical method. The proposed method is verified using the finite element method (FEM). It is observed that with the considered approach one can estimate the ac winding loss in the frequency range of 5-25 kHz, with 2.7% maximum absolute error and approximately 2.5 times less number of degrees-of-freedom compared to FEM computations.
AB - A mesh-free semi-analytical Fourier-based method is presented to evaluate the frequency-dependent losses in the windings of solid-state transformers (SSTs) with foil-wound transformers. In the employed diffusion equation, which accounts for induced eddy currents, the imposed current density and conductivity in the transformer window area are represented using spatial Fourier series and method of images. As a result, induced current density distribution in foil conductors and ac loss in medium frequency transformers (MFTs) is calculated using the semi-analytical method. The proposed method is verified using the finite element method (FEM). It is observed that with the considered approach one can estimate the ac winding loss in the frequency range of 5-25 kHz, with 2.7% maximum absolute error and approximately 2.5 times less number of degrees-of-freedom compared to FEM computations.
KW - Solid State transformers
KW - medium frequency transformers
KW - foil winding
KW - eddy current
KW - Fourier based analysis
KW - analytical modeling of electromagnetic fields
KW - Windings
KW - Conductivity
KW - Conductors
KW - Magnetic resonance imaging
KW - Finite element analysis
KW - Mathematical model
KW - Current density
KW - Analytical modeling of electromagnetic fields
KW - medium frequency transformers (MFTs)
KW - Fourier-based analysis
KW - solid-state transformers (SSTs)
UR - https://www.scopus.com/pages/publications/85112208270
U2 - 10.1109/TMAG.2021.3094047
DO - 10.1109/TMAG.2021.3094047
M3 - Article
SN - 0018-9464
VL - 58
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
IS - 2
M1 - 58
ER -