Three-Phase Transformer Modeling Using a Vector Hysteresis Model and Including the Eddy Current and the Anomalous Losses

Abstract

This paper presents a 2-D finite-element model to analyze the iron losses in a three-phase transformer. In this model, the effects of nonlinear core behavior are taken into account by means of a vector hysteresis model incorporated in the finite-element formulation by using a magnetic differential reluctivity tensor. The reluctivity tensor emerges naturally from the vectorized Jiles–Atherton model. The complete model includes eddy current losses and the anomalous losses. The magnetization currents are calculated and compared with the measured ones. Calculations of hysteresis loops at spotted points of the transformer are also performed. The comparisons between the iron losses measured and calculated with vectorial hysteresis, including the eddy current and the anomalous losses, are presented.