On physical aspects of the Jiles-Atherton hysteresis models

Abstract

The physical assumptions underlying the static and dynamic Jiles-Atherton (JA) hysteresis models are critically analyzed. It is shown that the energy-balance method used in deriving these models is actually closer to a balance of coenergies, thereby depriving the resulting JA phenomenology of physical meaning. The non-physical basis of its dynamic extension is demonstrated by a sharp contrast between hysteresis loops predicted by the model and those measured for grain-oriented steel under conditions of controlled sinusoidal flux density at frequencies of 50, 100, and 200 Hz.

A Comparison of Different Estimation Methods for Hysteresis Modelling

“…As pointed out in Ref. [10], in the original Jiles-Atherton (JA) model the loop branches are obtained by introducing offsets along the M -axis. On the contrary, the GRUCAD proposal is based on introducing offsets along the H-axis from the so-called anhysteretic (truly reversible) curve.…”

Magnetic Properties of SMC Cores Produced at a Low Compacting Temperature

“…Important advantages are the physical interpretation attributed to its parameters and the possibility to incorporate different physical phenomena in the description within the framework of "an effective field". Despite some of its weaker points (non-closure of minor loops for complicated magnetization patterns and the necessity to "patch" model equations in order to describe material behavior after a field reversal [22][23][24], this description remains one of the most commonly used hysteresis models in the practice.…”

“…Model equations used in this paper are simplified in comparison with those considered in the paper [24], as the separation of total magnetization into irreversible and reversible components is not considered. As pointed out by Zirka et al [24], the possibility to carry out such separation is arguable.…”

Open Source Implementation of Different Variants of Jiles-Atherton Model of Magnetic Hysteresis Loops

“…(7) The above form of differential equation stating the JilesAtherton model was the subject of criticism [13]. On the base of discussion, the alternative form of the model was proposed in 1998 by Venkataraman [14], named as the bulk ferromagnetic hysteresis model:…”