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Jiles-Atherton model in fitting hysteresis curves of magnetic materials

N. C. POP1,* , O. F. CALTUN1

Affiliation

  1. Faculty of Physics and Carpath Center, Al. I. Cuza University, 700506 Iasi, Romania

Abstract

This paper presents a method of fitting the magnetic hysteresis curves using a calculating algorithm within a computer programme. The calculating programme uses the equations of the Jiles-Atherton model to simulate the M(H) magnetization curve and aims at finding the values of the „a, α, k, c” parameters which are part of the J-A model once the regression curve for a major magnetization curve obtained experimentally is found. The constructed algorithm has calculating structures which modify, step by step, in plus or in minus (according to necessity) the values of these parameters. The parameters’ modification takes place in such a way that the average square deviation between the points of the two graphs, also experimentally simulated, should decrease gradually and, in the end, it should be found below the preestablished percentage value in comparison to the previous value. The procedure for minimising the average square deviation has as a result the fact that, in the end, the simulated curve represents the regression curve. The calculating programme also has in view a second way of calculating the values of the „a, α, k, c” parameters by using the already found regression curve. This paper also presents the results obtained for the values of the J-A model parameters by fitting some cobalt ferrites obtained through sintering at different temperatures..

Keywords

Computer programme, Magnetic hysteresis modeling, Magnetic materials, Parameters identification, Cobalt ferrites.

Submitted at: March 1, 2011
Accepted at: May 25, 2011

Citation

N. C. POP, O. F. CALTUN, Jiles-Atherton model in fitting hysteresis curves of magnetic materials, Journal of Optoelectronics and Advanced Materials Vol. 13, Iss. 5, pp. 537-543 (2011)