Improved Winding Losses Calculation based on Bessel Functions

Journal article (2023)

Authors

T. Luo High Voltage Technology Group - EEMCS
M. Ghaffarian Niasar High Voltage Technology Group - EEMCS
P.T.M. Vaessen High Voltage Technology Group - EEMCS
Research Group
High Voltage Technology Group (EEMCS) (TU Delft)
Copyright: © 2023 T. Luo, M. Ghaffarian Niasar, P.T.M. Vaessen
DOI: https://doi.org/10.1109/TMAG.2022.3221803
Magnetic fields Finite element analysis Skin effect Eddy current Windings Conductors Mathematical models Losses Transformer winding Magnetic cores Proximity effects
More Info
expand_more

Published Date

2023

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Electrical Sustainable Energy

Research Group

High Voltage Technology Group

Abstract

In this article, an approach combining semi-empirical equations and the method of images is proposed for round conductor layer windings with un-gapped core. The new equation for proximity effect can convert the constant field strength from the magneto-motive force (MMF) across the core window into a frequency-dependent uniform background magnetic field strength, which can take partly the interaction between conductors into account. Geometric factors are introduced by fitting the finite element method (FEM) results to improve the accuracy. The method of images is used to calculate the field strength in order to counteract the impact of the 2-D edge effect. The new method is compared with the 2-D FEM, analytical methods, and is also validated by measurements with EE core transformers. The proposed method shows good accuracy (< 10% error) compared with 2-D FEM for both high and low porosity factor windings. Therefore, it can handle more winding configurations than other 1-D analytical methods.