Parâmetros do modelo de Jiles-Atherton pelo método da falsa posição

Abstract

Obtaining appropriate parameters to be used in Jiles-Atherton models for magnetic hysteresis has been a great challenge for the scientific community that is working in researches related to this algebraic model of the hysteresis curve. In this work, the physical considerations of material’s magnetic characteristics are presented, showing the main factors involved in obtaining the parameters. The Jiles-Atherton direct model is initially presented, explaining the characteristics of each one of the five parameters required for the model. Equations related to the inverse model and the modified model of Jiles Atherton are also presented. Based on the modified model, a numerical method of False Position algorithm was developed, which requires the initial knowledge of an interval containing a solution for functions. In this work experimental data and parameter values are extracted from the work of Hamimid, Feliachi and Mimoune (2010). The algorithm developed in this work, based on these experimental data, can estimate values for the parameters of the Jiles-Atherton model. With the same experimental data, and using the algorithm presented by Luiz G. Luttke G. da Silva, (2017) another set of parameters were obtained. These three sets of parameters were used in the inverse Jiles-Atherton model to plot the hysteresis curves, showing that the proposed algorithm is able to estimate coherent values.