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In this paper, solutions of the magnetostatic Maxwell's Equation on parametric axisymmetric transformer geometries are approximated by a convolutional approach on Physics-Informed Neural Networks (ConvPINN). The trained ConvPINN is capable of predicting magnetic vector potentials (MVPs) and magnetic flux densities in a matter of milliseconds for a range of geometries described by a total of 18-20 degrees of freedom (DoF). The combination of ConvPINN with an existing framework for core loss prediction yields a super fast workflow for the approximation of core losses on a wide range of geometric setups. The combination of inference speed and accuracy enables new orders of magnitude for the optimization of transformer designs going forward.
Brendel et al. (Mon,) studied this question.