Abstract
In this paper, 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 2D edge effect. The new method is compared with the 2D FEM, analytical methods, and is also validated by measurements with EE core transformers. The proposed method shows good accuracy (<10% error) compared to 2D FEM for both high and low porosity factor windings. Therefore, it can handle more winding configurations than other 1D analytical methods.
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