Evaluation of the parameters of a magnetic hysteresis model

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.

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.

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.

2009

The paper deals with an analytical model for hysteresis cycle representation. The hysteresis curve is decomposed into a series of arcs of circle and straight-line segments. Each arc of circle or straight-line segment is expressed using analytical geometry as a function of some given parameters or calculated ones. The easiness of the proposed model is given by the small amount of input data needed to represent the hysteresis cycle in a satisfactory way. Using an inverse mapping function of major hysteresis branches the minor cycles, reversal curve of the first kind or curve of first magnetization can be obtained. Finally, a comparison between the measured data and modelled ones was made. The analytical model was implemented with LabVIEW program using Data Acquisition Board driven. The LabVIEW programs for measurement system and analytical model can be coupled in an extended program. In this way, the time for the measurements can be reduced only at the time necessary to obtain the major hysteresis loop, and the analytical model can made the rest of the needed characteristics: reversal curve of the first kind, minor hysteresis cycles.

Journal of Optoelectronics and Advanced Materials

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 ...

Special Issue of COMPEL, “Selected Papers from the 20th Symposium on Electromagnetic Phenomena in Nonlinear Circuits”, 2009

Purpose -For efficient magnetic field calculations in electrical machines, the hysteresis and losses in laminated electrical steel must be modeled in a simple and reliable way. The purpose of this paper is to investigate and discuss the potential of a simple complex-permeability model. Design/methodology/approach -A frequency dependent complex-permeability model as well as a more detailed model (describing hysteresis, classical eddy current effects, and excess losses separately) are compared to single-sheet measurements on laminated electrical steel. It is discussed under which circumstances the simple complex-m model is an adequate substitute for the more detailed model. Findings -A satisfactory agreement of the simple complex-m model was found with both detailed model and measurements, improving with increasing frequencies. This is true not only for the effective permeability function, but holds also for the detailed H-B characteristics (hysteresis). Originality/value -It is demonstrated that the complex-m model is a reliable and convenient starting point for the estimation of flux distribution and losses in complicated magnetic core geometries.

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.

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.

Geochemistry, Geophysics, Geosystems, 2010

Magnetic hysteresis data are centrally important in pure and applied rock magnetism, but to date, no objective quantitative methods have been developed for assessment of data quality and of the uncertainty in parameters calculated from imperfect data. We propose several initial steps toward such assessment, using loop symmetry as an important key. With a few notable exceptions (e.g., related to field cooling and exchange bias), magnetic hysteresis loops possess a high degree of inversion symmetry (M(H) = −M(−H)). This property enables us to treat the upper and lower half-loops as replicate measurements for quantification of random noise, drift, and offsets. This, in turn, makes it possible to evaluate the statistical significance of nonlinearity, either in the high-field region (due to nonsaturation of the ferromagnetic moment) or over the complete range of applied fields (due to nonnegligible contribution of ferromagnetic phases to the total magnetic signal). It also allows us to quantify the significance of fitting errors for model loops constructed from analytical basis functions. When a statistically significant high-field nonlinearity is found, magnetic parameters must be calculated by approach-to-saturation fitting, e.g., by a model of the form M(H) = M s + c HF H + aH b. This nonlinear high-field inverse modeling problem is strongly ill conditioned, resulting in large and strongly covariant uncertainties in the fitted parameters, which we characterize through bootstrap analyses. For a variety of materials, including ferrihydrite and mid-ocean ridge basalts, measured in applied fields up to about 1.5 T, we find that the calculated value of the exponent b is extremely sensitive to small differences in the data or in the method of processing and that the overall uncertainty exceeds the range of physically reasonable values. The "unknowability" of b is accompanied by relatively large uncertainties in the other parameters, which can be characterized, if not rigorously quantified, through the bootstrapped distribution of best fit models. Nevertheless, approach-to-saturation fitting yields much more accurate estimates of important parameters like M s than those obtained by linear M(H) fitting and should be used when maximum available fields are insufficient to reach saturation.

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, 1996

An approach to plotting hysteresis curves of soft magnetic materials using a personal computer assisted measuring system is presented. The resulting hysteresis curves provide enough detail to allow determination of the parameters rethe HodgdonlCarpenter model. The magnetic code loss for different materials and core shapes can be determined at frequencies up to 200 kHz and at voltages up to 500 V. amplitude is limited to 500 V. With this system it is possible to determine the magnetic core loss occurring Over the frequency range and modulation level, so that a cornbe made. model parameters for a subsequent simulation can be extracted. Measured values and results obtained by simulation will be compared at the end of the paper. quired for a simulation with PSPICE (Jiles-Atherton model) o~ parison between different ad 'Ore shapes can

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 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.

Journal of the Franklin Institute, 1983

There is a strong analogy between mechanical structural elements and magnetic circuit components which can be extended to include hysteretic energy losses associated with yielding in mechanical systems and saturation in magnetic components. Procedures for developing finite state models of hysteretic components are presented using a small number of basic elements. Using bond graph techniques, it is shown that, when dual structural models are used, elements may be assembled in arbitrary numbers to achieve any desired accuracy without problems of derivative causality. The reason for the dual structure can be seen from physical reasoning. The shape of the hysteresis curve for magnetic materials generally requires more elementsfor a given degree of approximation than the shape of the typical mechanical hysteresis curve.

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.