Thermal effects on magnetic hysteresis modeling

Przegląd Elektrotechniczny, 2012

The present paper deals with a temperature dependent modelling approach for the generation of hysteresis loops of ferromagnetic materials. The physical model is developed to study the effect of temperature on the magnetic hysteresis loop using JA model. The thermal effects were incorporated through temperature dependent hysteresis parameters of JA model. The temperature-dependent JA model was validated against measurements made on the ferrite material and the results of proposed model were in good agreement. Streszczenie. Zaprezentowano metode modelowania petli histerezy z uwzglednieniem wplywu temperatury. Do tego celu wykorzystano model Jiles- Atherton wlączając do modelu parametry zalezne od temperatury. Model sprawdzono na materialach ferrytowych. (Modelowanie wplywu temperatury na petle histerezy przy wykorzystaniu modelu Jlies-Atherton)

2016

A frequency-dependent model is necessary, to understand the dynamic behavior of hysteresis phenomenon in ferromagnetic materials. In this study, the hysteresis model based on Jiles-Atherton theory was developed, to simulate the frequency effects on the magnetic hysteresis loop. The frequency effects have been integrated in the model, by introducing the frequency behavior of the parameter k from Jiles-Aterton theory. The proposed model was validated, by comparing the results with those provided by the dynamic Jiles model, and the results are in good agreement.

Journal of Magnetism and Magnetic Materials, 2015

The present paper deals with the temperature dependent modeling approach for the generation of hysteresis loops of ferromagnetic materials. The physical model is developed to study the effect of temperature on the magnetic hysteresis loop using the Jiles-Atherton (J-A) model. The thermal effects were incorporated through temperature dependent hysteresis parameters of JA model. The temperaturedependent J-A model was validated by measurements made on the ferrite material. The results of proposed model were in good agreement with the measurements.

Journal of Materials Processing Technology, 2007

This paper presents a method based on use of a measurement system in order to significantly reduce the time taken and to improve the accuracy in evaluating parameters of the Jiles-Atherton's model of magnetic hysteresis. The steps of the proposed method: (a) data acquisition from the experimental hysteresis loop of the magnetic material under test, (b) evaluation of the model's parameters. In order to highlight the method's effectiveness, the results of experimental tests are also given.

IEEE Transactions on Instrumentation and Measurement, 1994

Many methods have been proposed for the determination of the hysteresis loops of magnetic materials, and many mathematical approaches have been proposed to find a good model for the hysteresis phenomenon. However, very few attempts have been made to determine the parameters of the hysteresis model experimentally. This paper will show how, starting from a digital method for the experimental determination of the hysteresis loop under different maximum induction values, the parameters of a hysteresis model can be automatically estimated with good accuracy.

IEEE Transactions on Magnetics, 2017

This paper introduces a temperature-dependent hysteresis model based on a vectorial elemental operator with temperaturesensitive spontaneous magnetization and biaxial anisotropy for the soft ferrites. Detailed analysis of the temperature-dependent magnetic properties of one elemental operator has been presented thereafter. With the help of the proposed vector elemental operator and the two-dimensional Gaussian distribution function, the temperature-dependent magnetic hysteresis of soft ferrites can be simulated. This model is validated by the substantial agreement between the simulated and measured major hysteresis loops of a soft ferrite sample Siemens 4C65 at different temperatures with slight acceptable error.

Journal of Applied Physics, 1983

We have obtained theoretical expressions for the ferromagnetic magnetization curve and hysteresis loop using an extension of the general ideas of the Globus model for polycrystalline ferrimagnets. In this work we take into account the force which resul ts from the variation of the total energy (magnetic energy plus surface energy) in order to find the value of the critical field . Our theoretical magnetization curve agrees well with the experimental curve and our hysteresis loop has the general qualitative features of the corresponding experimental loops.

Journal of Microwaves, Optoelectronics and Electromagnetic Applications

The Jiles-Atherton scalar hysteresis model presents five parameters used to represent the material tested and used to calculate the magnetic losses. This article presents a comparative analysis of the performance of two methods of identifying these parameters. In the first method, the equations of Jiles-Atherton were assembled into a single non-linear ordinary differential equation as a function of the variables of interest. An algebraic system of five equations with five unknowns is obtained by evaluating the non-linear ordinary differential equation in five points belonging to the branch of the experimental hysteresis loop. The parameters are obtained by solving this system of equations using the method of Non-Linear Least Squares (NLLS). In the second method, the inverse model of Jiles-Atherton is used to calculate the magnetic field H from the experimental values of magnetic induction B. Using the method of genetic algorithms (MGA), the objective function given by the sum of the relative error of calculated magnetic field and experimental magnetic field along the hysteresis loop is minimized. To validate methods the experimental curves were compared with calculated ones. When applying the methods, it was verified that NLLS besides providing more accurate results, it is faster when compared to MGA. In the MGA the convergence of the calculated magnitudes to the experimental magnitudes improves when one of the chromosomes of the initial population is the solution obtained applying NLLS.

Materials

Models of ferromagnetic hysteresis are established by following a thermodynamic approach. The class of constitutive properties is required to obey the second law, expressed by the Clausius–Duhem inequality, and the Euclidean invariance. While the second law states that the entropy production is non-negative for every admissible thermodynamic process, here the entropy production is viewed as a non-negative constitutive function. In a three-dimensional setting, the magnetic field and the magnetization are represented by invariant vectors. Next, hysteretic properties are shown to require that the entropy production is needed in an appropriate form merely to account for different behavior in the loading and the unloading portions of the loops. In the special case of a one-dimensional setting, a detailed model is determined for the magnetization function, in terms of a given susceptibility function. Starting from different initial magnetized states, hysteresis cycles are obtained by solv...

physica status solidi (a), 1986

Using theoretical expressions for the hysteresis loop of polycrystalline ferrimagnets given previously, the study of the effect of a grain size distribution (made previously for the magnetization curve of the same kind of materials) is estended to the case of the hysteresis loop. The influence is shown of various theoretical probability distribution functions and compared with an experimental result for YIG (yttrium iron garnet, Y,Fe,O,,). The best fitting is obtained (as in the case of the magnetization curve) with a normal logarithmic distribution function. Mit fruher angegebenen theoretischen Ausdrucken fur die Hystereseschleifen von polykristallinen Ferrimagneten wird eine Untersuchung des EinfluBes einer KorngroBenverteilung (fruher fur die Magnetisierungskurve fur die gleiche Materialart durchgefuhrt) auf den Fall von Hysteresisschleifen ausgedehnt. Der EinfluB von verschiedenen theoretischen Wahrscheinlichkeitsverteilungsfunktionen wird gezeigt und mit einem experimentellen Ergebnis fur YIG (Yttrium-Eisen-Granat, Y,Fe,O,,) verglichen. Die beste Anpassung wird (wie im Falle der Magnetisierungskurve) mit einer normalen logarithmischen Verteilungsfunktion erhalten.