Eddy currents in rectangular conductors: Analytical 2D loss model in the context of magnetic component design

The calculation of high-frequency winding losses caused by eddy currents in solid conductors with circular cross-section has already been discussed sufficiently often. However, there is currently no such treatment for conductors with rectangular cross-section in literature. In this article such a model is presented, which is based on a simplified two-dimensional formulation for the magnetic field inside conductors with rectangular cross-section. Similar to existing circular conductor models, the formulation is linked to an external, magneto-quasi-static field in the core window by means of boundary conditions, which makes it possible to a certain degree to calculate the frequency-dependent eddy current losses.