Analytical solutions to eddy current and excess losses

Purpose – This paper sets out to develop analytical solution to the hysteresis, eddy current and excess losses using the T(x) model. Based on Steinmetz' postulation, the losses, represented by the area enclosed by the hysteresis loop, are individually formulated in analytical form. The model is applied to sinusoidal and triangular excitation wave forms.Design/methodology/approach – The equivalent interaction fields introduced into the model represent the losses individually by applying the separation and superposition principle.Findings – Contrary to the presently used models, this model describes the hysteresis loop with its natural sigmoid shape and describes the losses individually in simpler mathematical formulation.Research limitations/implications – Experimental verification will still be needed as to the accuracy of the model and the applicability to the various magnetic materials.Practical implications – The model presented here gives a more realistic presentation of the hysteresis loop and by usi...