Magnetic measurement and vector modeling under applied mechanical stress (original) (raw)

A method for the determination of the parameters of the hysteresis model of magnetic materials

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.

A8.1 - A Preisach Based Model for the Characterisation of Magnetic Hysteresis

Proceedings Sensor 2009 Volume Ii, 2009

In this paper we present a model for hysteretic nonlinearities with non-local memories. This model can be used to describe hysteretic material behavior. Common applications are ferromagnetic or ferroelectric materials. Our model consists of an analytic function and a Preisach operator. Furthermore, we define a new Preisach weight function and introduce a method for the identification of the model parameters. Altogether, five parameters define the weight function and another two parameters are needed for the analytic function. With these seven parameters the model can be adapted very well to measured material curves. The model parameters are customized to a set of symmetric hysteresis curves of a soft magnetic material. After that, non-symmetric curves like the virgin curve are predicted very well by the model. It is especially useful, if forced magnetization, that appears beyond technical saturation, plays a role.

Identification of the 2D vector Preisach hysteresis model

Compel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2011

The paper presents a Preisach model to simulate the vector hysteresis properties of ferromagnetic materials. The vector behavior has been studied using a single sheet tester with a round shaped specimen at low frequency, and the locus of the magnetic flux density vector has been controlled by a digital measurement system. An inverse vector Preisach hysteresis model has been developed and identified by applying the measured data. Finally, the inverse model has been inserted into a finite element procedure through the fixed point technique and the reduced magnetic scalar potential formulation to simulate the single sheet tester measurement system. The applicability of the magnetizer system as well as the developed model has been proven by comparing measured and simulated results. Keywords-inverse hysteresis characteristics, vector hysteresis, hysteresis measurement, finite element method.

A multiscale model for magneto-elastic behaviour including hysteresis effects

Archive of Applied Mechanics, 2014

Magnetic and mechanical behaviour are strongly coupled: an applied stress modifies the magnetic behaviour, and on the other hand, magnetic materials undergo a magnetisation-induced strain known as the magnetostriction strain. These coupling effects play a significant role on the overall performance of electromagnetic devices such as magnetostrictive transducers or high-performance electric machines. In order to provide engineers with accurate design tools, magneto-elastic effects must be included into constitutive laws for magnetic materials. The origin of the magneto-elastic coupling lies in the competitive contributions of stress and magnetic field to the definition of magnetic domain configurations in magnetic materials. The magnetic domain scale is then suitable to describe magneto-elastic interactions, and this is the reason why multiscale approaches based on a micro-mechanical description of magnetic domain structures have been developed in the last decades. We propose in this paper an extension of a previous anhysteretic multiscale model in order to consider hysteresis effects. This new irreversible model is fully multiaxial and allows the description of typical hysteresis and butterfly loops and the calculation of magnetic losses as a function of external magneto-mechanical loadings. It is notably shown that the use of a configuration demagnetising effect related to the initial domain configuration enables to capture the non-monotony of the effect of stress on the magnetic susceptibility. This configuration demagnetising effect is also relevant to describe the effects of stress on hysteresis losses and coercive field.

Modeling of magnetic hysteresis and calculation of field in magnetic medium

2002

This work is devoted to analysis of the magnetic field of an electromagnetic device, taking into account the magnetic hysteresis. The latter implies a modeling appropriate cycle hysteresis. The cycle is represented by a model of Jiless-Aterthon scalar. A module resolution was developed using the finite element method in 2D. Simulations made with the computation code have allowed us to study the impact of the phenomenon of hysteresis on the quantities magnetic such as the magnetic induction field and the potential vector.

Modeling of Vector Hysteresis in Si-Fe Magnetic Steels and Experimental Verification

IEEE Transactions on Magnetics

The magnetic modeling of Si-Fe magnetic steels is presented in this paper. The modeling is based on a class of vector hysteresis operators recently introduced. The vector approach works without the additional manipulations and the corrections of the scalar case. The distribution of the probability function of the vector hysteresis operators is identified by a suitable set of magnetic measurements. Experimental verifications about the prediction of the model of some magnetization processes are presented.

Experimental testing of an anisotropic vector hysteresis model

IEEE Transactions on Magnetics, 1997

A vector hysteresis model is experimentally tested for two soft magnetic materials in the twodimensional case. The model expresses net magnetization as a sum of contributions from a number of pseudoparticles, each one having a dry friction-like hysteresis mechanism. Five adjustable parameters are used to represent hysteretic properties. Comparisons between calculations and measurements on silicon-iron are made for hysteresis curves and rotational and alternating hysteresis losses.

Modelling the Effect of Multiaxial Stress on Magnetic Hysteresis of Electrical Steel Sheets: A Comparison

IEEE Transactions on Magnetics, 2017

The abilities of a simplified multiscale and a Helmholtz energy based models from literature to predict the multiaxial stress dependent magnetic hysteresis behavior of electrical steel sheets are analyzed. The identification of the models are performed using only uniaxial magneto-mechanical measurements. Reasonable accuracy between the measurements and the modeled results are obtained. With this study, the applicability of the Helmholtz energy based model for predicting the multiaxial magneto-mechanical behavior of electrical steel sheets is verified for the first time. The differences between the studied models and possible modifications to increase the accuracy of them are discussed. Some brief guidelines for the applications are given.

Numerical determination of Jiles-Atherton hysteresis parameters: Magnetic behavior under mechanical deformation

Physica B: Condensed Matter, 2018

Magnetic properties of ferromagnetic materials are sensitive to mechanical deformation, temperature stress and frequency of excitation. This paper deals with the characterization of the behavior of ferromagnetic materials under plastic deformation. Our work attempts to take into account the plastic deformation in the analytical Jiles-Atherton model through its parameters: their variations with the mechanical deformation are deduced from an identification using genetic algorithm approach for each state of deformation. Sensitive parameters to the solicitation are extended to plastic deformation. Finally, simulation results are compared to experimental data of a fully process non oriented Fe-3wt%Si steel sheet. The mean square error is less than 5% for each case which confirms the good agreement between simulated and measured hysteresis curves.