Modelo de Jiles-Atherton para materiais magnéticos

Abstract

Magnetic materials are widely used in electrical machinery, inductors and others magnetic devices, however, the nonlinear behavior of these materials difficult field and flux analysis, where mathematical models seek to represent this behavior. Between the models found in the literature, Jiles-Atherton model is known for its simplicity on the implementation and the low number of parameters, which caracterize the model. The aim of this work is the development and application of inverse Jiles-Atherton model, a variation of original model, in order to represent the nonlinear behavior of a magnetic material based in experimental data, which are obtained with a monophasic transformer. The conversion of electrical magnitudes into magnetic magnitudes results in an experimental loop of the material, so that an initial set of parameters is found and after applying a numerical algorithm, results in model’s parameters. Due to the difference between experimental and calculated curves, an optimization algorithm was developed in order to reduce the mean square error in the comparison between non linear curves.