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2008, 2008 International Conference on Computer Engineering & Systems
Effect of the dynamic magnetic hysteresis on the induced currents is investigated. The method used combines a finite element simulation and a dynamic hysteresis modeling. In this paper, we present a numerical procedure capable of analyzing dynamic hysteresis in axial-symmetric problems. The ferromagnetic hysteresis is described by Jiles-Atherton model. This model is integrated in finite element method (FEM) in order to resolve magneto-dynamic problems. The interface between the Jiles-Atherton model and the finite element magnetic vector potential formulation is introduced through the fixed-point iterative technique.
IEEE Transactions on Magnetics, 2000
Macroscopic behavior of ferromagnetic materials can be considered as the resultant of three phenomena: hysteresis, eddy current, and excess loss. Hysteresis is the behavior of the material under quasi-static variation of magnetic field. Eddy-current and excess losses are dependent on the rate of field variation and are evident in the fast variation of the magnetic field, so they are called dynamic effects. This paper presents a simple and practical technique in field analysis of electromagnetic systems having hysteresis and dynamic effects. Based on the Preisach model for hysteresis and existing formulations for eddy currents and excess loss, an equivalent expression for field intensity has been introduced. A new technique has been presented in order to include this expression in the finite-element code. A typical system has been modeled by this code. Effects of relaxation and time step were examined on the stability and the convergence rate of the method. The validity of the proposed model has been checked by comparing its results with experimental measurements.
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.
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)
IEEE Transactions on Magnetics, 2000
The dynamic hysteresis model for magnetic materials presented by Bertotti [1] uses the classical eddy current expression, where the applied field is assumed to penetrate the material homogenously. However, for this to be valid for a material exposed to a field varying with a frequency in the kilohertz range or higher, the material has to be very thin, e.g., a thin laminate, typically thinner than 0.1 mm. In this paper a novel method is presented. The idea is to combine Bertotti's model with a Cauer circuit and divide the material into a number of sections, each exhibiting different magnitude of magnetic field caused by the eddy current shielding. Furthermore, the eddy currents are modeled by "magnetic inductances" instead of the classical eddy current expression. This modelling technique yields simulation results that agree very well with measurements.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2004
This paper deals with the incorporation of a vector hysteresis model in 2D finite-element (FE) magnetic field calculations. A previously proposed vector extension of the well-known scalar Jiles-Atherton model is considered. The vectorised hysteresis model is shown to have the same advantages as the scalar one: a limited number of parameters (which have the same value in both models) and ease of implementation. The classical magnetic vector potential FE formulation is adopted. Particular attention is paid to the resolution of the nonlinear equations by means of the Newton-Raphson method. It is shown that the application of the latter method naturally leads to the use of the differential reluctivity tensor, i.e. the derivative of the magnetic field vector with respect to the magnetic induction vector. This second rank tensor can be straightforwardly calculated for the considered hysteresis model. By way of example, the vector Jiles-Atherton is applied to two simple 2D FE models exhibiting rotational flux. The excellent convergence of the Newton-Raphson method is demonstrated.
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.
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.
Archives of Electrical Engineering, 2012
Thermal effects on magnetic hysteresis modelingA temperature dependent model is necessary for the generation of hysteresis loops of ferromagnetic materials. In this study, a physical model based on the Jiles-Atherton model has been developed to study the effect of temperature on the magnetic hysteresis loop. The thermal effects were included through a model of behavior depending on the temperature parametersMsandkof the Jiles-Atherton model. The temperature-dependent Jiles-Atherton model was validated through measurements made on ferrite material (3F3). The results have been found to be in good agreement with the model.
IEEE Transactions on Computer-aided Design of Integrated Circuits and Systems, 2006
A new methodology is presented to assure numerically reliable integration of the magnetization slope in the Jiles-Atherton model of ferromagnetic core hysteresis. Two hardware description language (HDL) implementations of the technique are presented: one in SystemC and the other in very-high-speed integrated circuit (VHSIC) HDL (VHDL) analog and mixed signal (AMS). The new model uses timeless discretization of the magnetization slope equation and provides superior accuracy and numerical stability especially at the discontinuity points that occur in hysteresis. Numerical integration of the magnetization slope is carried out by the model itself rather than by the underlying analog solver. The robustness of the model is demonstrated by practical simulations of examples involving both major and minor hysteresis loops.
Absrraci: This paper describes the Preisach theory of hysteresis model in a graphical approach. New simple mathematical function which can relate the Preisach diagrams and the B-H limiting loop is developed and presented. With this new function, the Preisach hysteresis model can be implemented easily without the use of any statistical functions. The model is implemented using the Transmission line Modeling (TLM) method and tested in a practical example. Good agreement is obtained from measurements and simulations.
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.
Le Journal de Physique IV, 1998
In this paper. the first magnetisation response experilncnrally ohscrvcd on 0.5 nim lliick slicerh ~liadc 01.3 non-oriented silicon-iron alloy is given for different magnetic loading frcqucncies from 0.05 to 500 H I. An internal variable magnetic hysteresis model is identified from the quasi-static rehponse (from 0.05 to ahout 5 H I). This modcl is used for finite clement analyses performed to predict the elccrro-niagnctic response of the nlnrcrial at higher frequencies. The colnparison between the results of ~Iicse structur;ll analyses ;~nd the expcri~iicntal results proves t1i;lt in this case [he macroscopic cddy currenls arc suff~cicnt ~o explain the tot;~l l'requcncy cl'fccl 11n ~h c mognctic hysteresis measurements.
2021
The treatment of hysteresis in numerical simulations represents major issues as large computational times and significant memory space allocations are required. The memory management of the Jiles-Atherton model is simple, but its integration requires relatively fine temporal discretization to achieve convergence. Oppositely, the Preisach model gives satisfactory results with a coarser temporal grid but requires vast memory space and complex management. The Derivative Static Hysteresis Model (DSHM) is an alternative solution for improved performances. The hysteresis law is considered in a generalized input vector space. An interpolation matrix is constructed with the columns and rows denoting the discrete values of H and B and whose terms stand for the dB/dH slope at the corresponding point. Up to now, the filling step of the DSHM matrix has always been through experimental first-order reversal curves, but getting such experimental data is always complex. In this study, we propose to fill the DSHM matrix alternatively. We use simulated first-order reversal curves obtained from the Jiles-Atherton or the Preisach model, which have been identified using limited experimental data (the first magnetization curve and the major hysteresis cycle).
In this paper a new vector hysteresis model is introduced that based on a scalar hysteresis model. The advantages of the scalar model are its easy identification, past memory representation and numerical simplicity. The accommodation property of the model results from its construction philosophy of the model. The feasibility of the extrapolation is defined by the turning points. The convenience of this model is its efficiency in reduction of the calculation time. The model parameters and the modification vector fields can be determined from measured data. The vector model can approximate the behavior of the vector hysteresis characteristics of ferromagnetic materials. The main question of the vector model, the definition of the initial values of B i components on the i -th direction is solved in this paper.
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.
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.
IEEE Transactions on Magnetics, 2016
We consider the quasi-static magnetic hysteresis model based on a dry-friction like representation of magnetization. The model has a consistent energy interpretation, is intrinsically vectorial, and ensures a direct calculation of the stored and dissipated energies at any moment in time, and hence not only on the completion of a closed hysteresis loop. We discuss the variational formulation of this model and derive an efficient numerical scheme, avoiding the usually employed approximation which can be inaccurate in the vectorial case. The parameters of this model for a nonoriented steel are identified using a set of first order reversal curves. Finally, the model is incorporated as a local constitutive relation into a 2D finite element simulation accounting for both the magnetic hysteresis and the eddy current.
2011
In this work we present an original magnetic hysteresis model with parameters fitted from measured reversal curves. This model is used together with the Finite Element method for studying a structure composed of a magnetic core with air-gap excited by a coil.
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.
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.
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