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This paper presents a new model of minor hysteresis loop and its temperature dependence. Minor hysteresis loops under different temperatures and magnetic field intensities can be acquired by co-simulation between Jiles-Atherton model and Preisach model. First, the temperature-dependent Jiles-Atherton model was established. Second, major hysteresis loop at different temperatures was obtained by modified Jiles-Atherton model. Minor hysteresis loop at different temperature was simulated by Preisach model in the end. The new model for Fe-Si magnetic sheet was established and the results show good agreement between theory and experiment.

In this paper, a new method to construct neural-network-based hysteresis model is proposed. At first, a new backlash operator is presented so as to construct a basic model. And then, based on the basic model, a two-dimension input space is established so that the one-to-multiple mapping of hysteresis can be transformed into a one-to-one mapping which can be identified by using traditional method of neural networks. Finally, two experiments were implemented to validate the proposed neural hysteresis model. The experimental results demonstrate that the approach is effective.

Usually analytical weighting function is used in Preisach model application, since the use of derivation of experimental first order reverse curves exhibits large errors. To reduce the errors, extended experiments and methods for reduction of experimental errors are presented in the paper. Weighting function obtained by numeric derivation leads to acceptable agreement with experiments in Preisach model. Further improvement can be obtained by suggested reduction of remaining errors in experimental data.

The Preisach model is a classical method for describing nonlinear behavior in hysteretic systems. According to this model, a hysteretic system contains a collection of simple bistable units which are characterized by an internal field and a coercive field. This set of bistable units exhibits a statistical distribution that depends on these fields as parameters. Thus, nonlinear response depends on the specific distribution function associated with the material. This model is satisfactorily used in this work to describe the temperature-dependent ferroelectric response in PZT- and KNN-based piezoceramics. A distribution function expanded in Maclaurin series considering only the first terms in the internal field and the coercive field is proposed. Changes in coefficient relations of a single distribution function allow us to explain the complex temperature dependence of hard piezoceramic behavior. A similar analysis based on the same form of the distribution function shows that the KNL–NTS properties soften around its orthorhombic to tetragonal phase transition.

This paper compares two implementations of an energy-based ferromagnetic hysteresis model for finite element computations. The first implementation is an approximated explicit solution of the non-linear differential equation that is obtained from the energy balance of the magnetic material. The second implementation borrows from the theory of plasticity a variational formulation to solve exactly this differential equation. Both implementations are quantitatively compared in terms of accuracy and computational cost. The differential approach turns out to be much faster than the variational one and to give in most situations a result very close to that of the exact variational approach.

Hysteresis is a nonlinear phenomenon exhibited by systems stemming from various science and engineering areas. To detect experimentally the presence of hysteresis in a system, its graph output versus input is plotted for different frequencies of the input. For hysteresis systems, these graphs converge to a limit set when frequency goes to zero. Moreover, this limit approaches asymptotically a periodic orbit. The relevance of hysteresis in applications makes it important to characterize it mathematically, which is the purpose of this paper. The systems that are considered are operators that map an input signal and initial condition to an output signal, all belonging to specified sets. The main result of this paper is a criterion for the mathematical characterization of hysteresis. The tools introduced in this paper are illustrated by means of a case study.

This study provides new evidence on the effects of nonconvex employment adjustment costs at the aggregate level. Using the Preisach model of hysteresis, we find that hysteresis commonly found at the firm level due to nonconvex adjustment costs do not completely vanish at the macro level. Hysteresis signs are particularly present in small firms and less so in large ones. The consequence is that the equilibrium state of employment, instead of being unique, becomes path dependent, that is, determined by the history of previous adjustments. The key implication is that macroeconomic policies designed to stimulate the economy may have long-run effects.

The hysteretic behavior of a plant with a non-negative input, referred to as one-sided hysteresis, is characterized by an initial ascending curve and hysteresis loops. It is observed that the widely-used classical Preisach hysteresis model and its modifications cannot represent such one-sided hysteresis due to the limitation of the Preisach hysteresis operator. To address this issue, a novel hysteresis operator modified from the Preisach hysteresis operator is proposed in this study and on this basis, a rate-independent hysteresis model and a rate-dependent hysteresis model are developed with methods to estimate their parameters. An algorithm to invert the rate-independent hysteresis model and its application to tracking control are also presented. The models and control schemes developed were verified experimentally on a commercially-available piezoelectric actuator. The results obtained show that the models developed are promising to represent the one-sided hysteresis of the piezoelectric actuator and that the inverting algorithm of the rate-independent hysteresis model is effective as applied to the tracking control of piezoelectric actuators.

In the present paper, the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross-section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material.

Among the phenomenological hysteresis models, the Preisach model, Krasnosel’skii–Pokrovskii model, and Prandtl–Ishlinskii model have found extensive applications for modeling hysteresis in shape memory alloys and other smart actuators. Since the mathematical complexity of the identification and inversion problem depends directly on the type of phenomenological hysteresis modeling method, choosing a proper phenomenological model among the mentioned models for modeling the hysteretic behavior of shape memory alloy actuators is a task of crucial importance. Moreover, the accuracy of the hysteresis modeling method in characterizing shape memory alloy hysteretic behavior consequently affects the whole compensator design task. In this article, the accuracy of the mentioned phenomenological models in characterizing and predicting the hysteretic behavior of shape memory alloy actuators is experimentally compared. It will be shown that although, unlike the Preisach and Krasnosel’skii–Pokrovskii models, the identification process of the Prandtl–Ishlinskii model is a time-consuming process, it leads to the best results when the outputs of these models are compared with the experimental data. Since the Prandtl–Ishlinskii model is also analytically invertible and can be easily implemented as a feed-forward controller for compensating the hysteretic nonlinearity behavior of shape memory alloy actuators, it seems to be the best model for modeling and compensating the hysteretic behavior of shape memory alloy actuators.

In this paper, the identification of soft magnetic B - H characteristics when using the single measured hysteresis loop and fitting the discrete dynamic Preisach (DDP) model is addressed. The magnetic measurements with primary and secondary windings are performed to obtain the magnetostatic system response. The constrained least-squares estimation of the Preisach density function yields the global solution even for limited hysteresis data. The uncertainties detected during the measurement and computation of B and H values are discussed.

PurposeWidely used in micro‐position devices and vibration control, the piezoelectric actuator exhibits strong hysteresis effects, which can cause inaccuracy and oscillations, even lead to instability. If the hysteretic effects can be predicted, a controller can be designed to correct for these effects. This paper aims to present a neural network hysteresis model with an improved Preisach model to predict the output of piezoelectric actuator.Design/methodology/approachThe improved Preisach model is given: A wiping‐out memory sequence is defined that is along a single axis only and at the same time the ascending and the descending extreme points are separated. The extended area variable is calculated according to wiping‐out memory sequence. The relationship between the two inputs (the extended area variable and variable rate of input signal) and the hysteresis output is implemented with a neural network to approximate the hysteresis model for the piezoelectric actuators.FindingsSome experiments are carried out with a piezoelectric ceramic (PST150/7/40 VS12) and the results show the neural network hysteresis model can reliably predict the hysteretic behaviours in piezoelectric actuators.Originality/valueThe improved Preisach model is a simple model that is implemented by a neural network to reliably predict the hysteretic output in piezoelectric actuators.

This paper deals with the computation of hysteresis torque in electric machines by means of the hysteresis Preisach model in finite element methods. In most cases, core loss is divided into hysteresis loss and eddy current loss. However, this component experiences mostly hysteresis loss at low speed. This hysteresis loss acts on the braking torque with cogging in the permanent magnet motor. In order to analyze the hysteresis torque, the Preisach hysteresis model is applied to the post-processor using the finite element method. In this method, computation errors can occur more than with the existing analysis method, but this method can compute hysteresis torque without complex nonlinear analysis. The hysteresis torque that is bearing friction is compared with test results. Both simulations and experiments are performed to verify the validity of the proposed method.

We present a new model for the simulation of the hysteretic large-signal behavior in ferroelectric materials. The model is based on the Preisach operator and takes advantage of an analytic weight function for the underlying fundamental switching operators. The five independent parameters describing this weight function have been determined for a discoidal piezoceramic actuator by adapting the model output to measurements of the polarization. Since the classical Preisach model is only valid for creep- and rate-independent hysteresis loops, it is inappropriate to describe the entire ferroelectric material behavior. Therefore, we extended our model by an additional drift operator to consider creep phenomena. Furthermore, the rate-dependence of the hysteresis loops is described by a frequency-dependent parameter of the analytic weight function. For the identification and verification of the model, measurements have been performed using two different measurement principles: A modified Sawyer–Tower circuit as well as a method based on the integration of the electrical current. The agreement between measurements and simulations highlights the benefits of the enhanced hysteresis model.

The contribution of this paper is a framework for relating butterfly-shaped hysteresis maps to simple (single-loop) hysteresis maps, which are typically easier to model and more amenable to control design. In particular, a unimodal mapping is used to transform simple loops to butterfly loops. For the practically important class of piecewise monotone hysteresis maps, we provide conditions for producing butterfly-shaped maps and examine the properties of the resulting butterflies. Conversely, we present conditions under which butterfly-shaped maps can be converted to simple piecewise monotone hysteresis maps to facilitate hysteresis compensation and control design. Examples of a preloaded two-bar linkage mechanism and a magnetostrictive actuator illustrate the theory and its utility for understanding, modeling, and controlling systems with butterfly-shaped hysteresis.

This paper introduces a differential approach to model scalar hysteresis based on the Preisach theory. This model can generate hysteresis trajectories for both symmetrical and asymmetrical minor loops and keep the memory of a material in a proper manner. It can easily be inverted, it has a simple algorithm with suitable computational speed, and is not memory consuming. Also, the obtained results of the model are in very good agreement with measurements.

This paper deals with the modeling of vector fields that exhibit hysteresis. A general class of models of vector magnetizations with hysteresis that form a natural extension of the Classical Scalar Preisach Model is defined. Although the modeling was done for the 2-d case, the same theory can be extended to the 3-d case as well. After reviewing some general properties of conservative fields, the specific case of unit magnitude vector fields is discussed. The paper focuses on discussing the properties of a general vector hysteresis operator (hysteron). The mathematical approach followed here can be applied not only to the magnetic hysteresis, but also to any hysteresis process. Some examples of vector hysterons, deduced from the general definition, are presented and their properties analyzed.

It is necessary to describe the hysteresis characteristics of magnetic material precisely for the analysis or design of system with ferromagnetic materials. Although Preisach model is regarded as the most accurate method to describe the hysteresis characteristics, it is not widely applied to the real systems because of some difficulties. The conventional Preisach model shows the numerical instabilities during the iterative computations because the density distribution obtained from the sets of M-H curves are strongly localized. To remove such numerical instabilities, M-B instead of M-H is adopted as an implementation variable in normal Preisach modeling. The two dimensional computations with hysteresis characteristics by using normal Preisach modeling are tested and the result showed that the modeling by using M-B variables showed better stabilities than M-H variables.

Hysteresis is a non-linear phenomenon present in many physical systems that is usually undesirable and degrades their performance. Models which accurately reproduce hysteresis are often very complex and hard to implement. For that reason, the hysteresis is generally, when the performance specifications are not too strict, treated as a bounded disturbance or is approximated with piecewise affine structures. Control design requires models which extract the most fundamental behavior of phenomena and, in this article, such a model was constructed for the hysteresis phenomenon. It is shown that the obtained model can be easily shaped, mathematically manipulated and used for general control design of hysteretic systems, e.g. feed-forward compensation.

The magnetic properties of materials are characterized by the variation of flux density with magnetic field. The hysteresis loop is generally dependent on the frequency of excitation. It is well known that the dependence is attributed to the effects of eddy current loss and anomalous (excess) loss. The present work deals with a new approaching method to model the frequency dependence of magnetic hysteresis within the framework of internal state variable theory, the fundamental structure of which is originally based on viscoplasticity theory in continuum mechanics. The hysteresis equations are formulated to be consistent with the general principles of irreversible thermodynamics with internal variables.

Hysteresis effects hinder the accurate control of electromagnetic actuators and require auxiliary sensors for properly determining the hysteretic system state. The physics-based Jiles-Atherton and the phenomenological Preisach hysteresis models provide powerful means to describe the magnetic hysteresis and its inverse. In this paper, we consider both hysteresis models in the scalar form from the control points of view, with a primary objective of the sensorless inverse feed-forward control. The identification complexity, the runtime, and the space efficiency of the control-oriented implementation are analyzed and compared for both modeling approaches. Their control performance for an inverse hysteresis compensation is experimentally evaluated on a specific force-controlled electromagnet system.

Hysteresis Modeling Using a Preisach OperatorThe aim of this paper is to present the analysis and modeling of the hysteresis phenomenon using a Preisach operator. The fundamentals of parameterized hysteresis modeling are introduced, by utilizing three probability density functions. Then, the Preisach operator and its characteristics are defined. Subsequently, results of simulations obtained by means of the aforementioned functions are presented and compared to the ones obtained by other authors.

In this paper we present a model for hysteretic nonlinearities with non-local memories. This model can be applied to describe hysteretic material behavior. Common applications are ferromagnetic or ferroelectric materials. Our model consists of an analytic function and a Preisach operator. We define a continuous Preisach weight function and introduce a method for the identification of the model parameters. The model parameters are customized to a set of symmetric hysteresis curves. We verify our model for a soft magnetic material, a hard magnetic material and the ferroelectric behavior of some piezoelectric material. After that, non-symmetric curves like the virgin curve are predicted very well by the model. It is especially useful, if forced magnetization or polarization, that appears beyond technical saturation, come into account.

A major part of power systems consists of ferromagnetic materials, and investigation of their parameters and magnetic characteristics in various operating conditions is necessary. Hysteresis in ferromagnetic materials is a complicated physical phenomenon, and its modeling is a challenging problem. In fact, the basic problem in this modeling is that for a given value of the magnetic field intensity, there are unlimited possible magnetic flux density values that depend on the history of the material. A class of the hysteresis models as physical models is expressed based on the physics theories. In the present article, a new model for hysteresis phenomenon is proposed. This model is a combination of mathematical equations and models that have been obtained based on the experimental observations and a series of the magnetic paths macroscopic properties extracted from the Preisach model. The proposed model generates symmetrical and asymmetrical hysteresis loops with high accuracy. In this model, an ar...

The paper deals with an analytical model for hysteresis cycle representation. The hysteresis curve is decomposed in a series of arcs of circles and segments of lines. Each arc of circle or segment of line is expressed using analytical geometry as a function of some given parameters or calculated ones. The easiness of the model proposed is given by the small amount of input data needed to represent the hysteresis cycle in a satisfactory way. Using an inverse mapping function from 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.

This paper presents a hysteresis model for electromagnetic sensors and actuators, which are composed of ferromagnetic materials. The model is based on the Preisach operator, which is capable to fully describe major as well as minor hysteresis loops. To obtain the appropriate measured data for fitting the Preisach operator, we have developed an Epstein setup according to IEC 60404-2. This work also describes the use of the Lorentzian function as a possible candidate for the accurate approximation of the Preisach density function in the modeling of scalar hysteresis for nonoriented grain steels. In particular, we discuss here the identification procedure of the Preisach weighting functions from measured data.

In this paper, an implicit inversion of the hysteresis described by Preisach model is introduced to avoid difficulties of the directly inverse construction for this kind of complex hysteresis models. Based on this inversion, the adaptive control for the output of the hysteresisis described by Preisach model is discussed. Furthermore, the adaptive control for the discrete time linear dynamical systems preceded with hysteresis described by Presaich model is formulated. The stability of the controlled systems is analyzed and zero output tracking error can be eventually achieved. Simulation results show the effectiveness of the proposed algorithms.

This article presents a new modeling approach for the memory-dependent hysteresis phenomenon in a broad class of smart structures and systems. We propose a recursive formulation to relate the minor hysteresis trajectories to their surrounding loops. More specifically, each internal (minor) trajectory targets its previous turning point and converges to its neighboring loop with a tunable exponential rate. By applying the ‘curve alignment’ and the ‘wiping out’ properties at the turning points, we present a new strategy within the context of a memory-based hysteresis modeling framework. A Galfenol-driven micropositioning actuator and a piezoelectrically driven nanopositioning stage are used to experimentally validate the model. Galfenol exhibits large butterfly-type nonlinearity with a small hysteresis effect, while the piezoelectric actuator exhibits wide hysteresis loops. The model is able to precisely predict the major and minor hysteresis loops in both the Galfenol and piezoelectric actuators, and is expected to be effectively and conveniently applicable to general systems exhibiting memory-dependent hysteresis.

Landau-type phenomenological theory is extended to the polycrystalline ferroelectrics by defining a volume fraction of polarization to simulate polarization hysteresis loops. Using this simple model, polarization hysteresis loops of a model Pb(Zr 0.52 Ti 0.48 )O 3 ceramic at different fields or temperatures are simulated, it is found that our results are in very good agreement with the experimental data for the saturated as well as the unsaturated loops. Moreover, this model can accurately predict the coercive fields and remnant polarizations under arbitrary applied fields.

The excitation conditions of electrical steel are generally sinusoidal but, with the advent of power electronics in recent years, dc-biased excitation is sometimes experienced. The use of an iron core under dc-biased magnetization gives rise to asymmetrical hysteresis loops and the hysteresis loss in the iron core also increases with the value of dc excitation. For iron cores working with dc-biased excitation, accurate modeling of the nonlinear characteristics for the iron core that includes the dc-bias is very important for the computation of the exciting current and the iron loss. In this paper, an efficient approach for simulating the hysteresis loop of iron core under dc-biased excitation using neural-network theory is presented. The proposed method has the merits that a specific hysteresis loop can be identified conveniently and effectively to ensure that accurate electromagnetic-field analysis can be realized.

PurposeThe aim of the paper is to present a simple approach to modelling minor hysteresis loops in grain‐oriented steel sheets under quasi‐static and dynamic conditions. The hysteresis phenomenon is described with a recently developed hybrid model, which combines ideas inherent in the product Preisach model and the Jiles‐Atherton description. The dynamic effects due to eddy currents are taken into account in the description using a lagged response with respect to the input.Design/methodology/approachIt is assumed that some model parameters might be dependent on the level of relative magnetization within the material. Their dependencies could be given as power laws. The values of scaling coefficients in power laws are determined.FindingsA satisfactory agreement of experimental and modelled quasi‐static and dynamic hysteresis loops is obtained.Research limitations/implicationsThe present study provides a starting point for further verification of the approach for other classes of soft magnetic materials, which could be described with the developed model. At present, the approach to model minor loops by the update of model parameters is verified for the B‐sine excitation case.Practical implicationsThe “branch‐and‐bound” optimization algorithm is a useful tool for recovery of the values of both model parameters and scaling coefficients as well.Originality/valueThe recently developed hybrid description of hysteresis phenomenon can be successfully extended to take into account symmetric minor loops. The developed approach could be a framework to develop a comprehensive description of magnetization phenomena in the future.

In this work an approach for modeling a transformer core taking into account magnetic hysteresis is presented. For this purpose, the inverse vector Jiles-Atherton hysteresis model is incorporated in a 2D finite element code. This model allows writing naturally the differential reluctivity tensor which can be directly used in the magnetic field equations. A three-phase transformer is modeled. The excitation characteristics of the transformer, as well as hysteresis loops at specific points, are presented. The proposed model was verified with obtained experimental data.

The article deals with the modelling of dynamic hysteresis loops. The modelling is carried out within the framework proposed by D. Jiles and D. Atherton. The dynamic effect of eddy currents is taken into account using G. Bertotti's approach. A satisfactory agreement between the measured and the modelled dynamic hysteresis loops as well as the corresponding loss densities is obtained.

A model that describes the magnetic behavior of nanocrystalline ring cores is useful for simulations of electronic circuits that contain inductors or transformers using these cores. A general but computationally demanding model combines a macroscopic model of the ribbon with a dynamic Preisach hysteresis model. In this paper, we present two models that-taking into account the principle of loss separation-make it possible to avoid the use of the CPU time consuming dynamic Preisach model. Both models compute the waveform of the magnetic flux density for an arbitrary waveform of the magnetic field, or vice versa. The first model uses a macroscopic model based on the plane wave theory and the classical rate-independent Preisach formalism. The macroscopic model operates in the frequency domain and applies the harmonic balance principle. Because of nonlinearity, the model is solved iteratively by a Newton-Raphson scheme. The second model starts from a single evaluation of the classical Preisach model. Additionally, it uses a lookup table that is a function of the flux density and its time derivative to evaluate the classical and excess field to be added. The models are validated by measurements between 2 and 100 kHz on Vitroperm nanocrystalline ring cores.

Hysteresis compliance arises from elasto-plastic properties in mechanical systems and represents a strict nonlinearity with a memory effect, which handicaps the predictability of the state trajectories and the system controllability in general. This paper presents an inverse model approach for feed-forward compensation of hysteresis compliance. The hysteresis compliance of an electro-mechanical system with elasticities is modeled by means of a well-known Preisach formalism. The model specific Preisach density function is identified from an appropriate drive experiment, which provides a set of major and minor hysteresis loops. The inverse Preisach model is attained using the inverse function derivative and the first order Taylor expansion at working point. The efficiency of proposed inverse model approach is shown in the simulation and affirmed with experiments. The presented control strategy is well suitable for a broad class of hysteresis phenomena independent their cause-effect relationship.

We consider a model system describing the two-dimensional flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with hysteresis nonlinearities is established in the convexity domain of the Preisach operator.

When modelling electrical devices, one has to estimate quite accurately the iron losses for the sake of efficiency. The use of non-sinusoidal electrical sources increases the harmonic content in electrical systems and, consequently, increases significantly the magnetic losses in devices feed by these sources. The harmonic content adds non-centred minor hysteresis loops over the classical major one. The numerical tool used for the material modelling must be able to represent the magnetic behaviour in such conditions. Then, the use of a hysteresis model is the more suited solution, but the chosen model has to take into account correctly the minor loops. The Jiles–Atherton hysteresis model is one of the most employed, due its well-known properties, but it is not able to represent closed minor loops. In this work, we propose a simple approach based on experimental observations and empirical considerations, to improve the representation of minor loops in this model by keeping its simplicity of use and implementation in a FE calculation code. Differently to other approaches found in the literature, the previous knowledge of the magnetic field evolution is not needed. A comparison between measured and calculated curves, as well with the Preisach model, is performed to validate the model.

This paper presents a new 3-D finite-element method for taking account of vector hysteresis and anisotropy. The proposed method combines the improved scalar Preisach model with the lagging angle between magnetic flux density and magnetic field intensity to solve vector hysteresis problem. Magnetic material's curves with any other directions to rolling direction are obtained by interpolating the measured curves to solve anisotropy problem. The method enables us to solve vector hysteresis and anisotropy problem simply. In order to validate the algorithm presented, TEAM problem32 has been analyzed using 3-D FEM as an example.

In this paper, parameters of the Jiles-Atherton (J-A) hysteresis model are identified using a stochastic search algorithm called differential evolution (DE). The J-A hysteresis model's parameters are identified by DE in such a way, that best possible agreement is obtained between the measured and model calculated hysteresis loops. This agreement is furthermore increased by improving the J-A hysteresis model. The improvement is achieved by replacing a constant pinning parameter in the J-A hysteresis model with a variable one. Here, the variable pinning parameter is written as a function of a magnetic field. By DE identified parameters are used in the J-A hysteresis model, which is included in the dynamic model of a single-phase transformer. The effectiveness of the improved J-A hysteresis model and parameters identification approach is verified with experiments and simulations.

In this paper, a phenomenological energy-based material model for ferromagnetic materials under harmonic conditions is presented. The model is based on the concept of a complex effective permeability and an accurate representation of energy is adopted as identification criteria. The material model is implemented in a time-harmonic finite element model, which allows to solve for the loss characteristics of electromagnetic devices. Identification is based on measured hysteresis loops and no additional fitting parameters are required. Hysteresis losses in a ferromagnetic C-core and a ferromagnetic torus are simulated and compared to the results obtained by means of tabulated loss characteristics.

In this article, hysteresis modeling applied to the calculation of electrical machines is analyzed. The first section presents a comparison of the most important models and a justification for the choice of the Preisach model, which is, in our opinion, the most appropriate one. Subsequently, the fundamentals, characterization, and development of this model are briefly reviewed, and several options are discussed. Section 4 deals with the most suitable extensions of the model to overcome its limitations. Finally, a simple, economical test for characterizing the Preisach model applied to a single-phase transformer is proposed.

In this paper a new, phenomenological, temperature dependent hysteresis model of the vapor-liquid first-order phase transitions is presented in order to improve the existing equation-of-state type diffuse interface methods implicated in homogeneous two phase flow models. The proposed hysteresis approach describes not only equilibrium but also non-equilibrium phase transitions. A saturation temperature dependent upper limit of the allowable supersaturation is proposed, this limit ensures that unstable conditions could be always avoided. To overcome the flowing system caused memory handling problems of classical Preisach-type hysteresis models, a partial differential equation based hysteresis operator is proposed to describe the statistics of a model fluid consists of bistable, constant-mass clusters of molecules.

In this paper, we present mathematical results regarding a recently introduced vectorization of the Preisach operator. The operator output can be shown to be continuous regardless of the properties of its underlying Preisach distribution. For uniaxial input originating in saturation, the output of the isotropic operator reduces to that of a scalar Preisach operator. We formulate this scalar Preisach operator explicitly and give an example for the reduction. Finally, we apply the results in order to deduce conditions under which the uniaxial scalar curves resulting from the vector Preisach operator are monotone.

The paper deals with the numerical analysis of a rotational single sheet tester with round-shaped specimen (RRSST) which is now under construction. The measurement setup consists of an induction motor the rotor of which has been removed, and its windings have been replaced to a special two phase one which can generate homogeneous magnetic field inside the motor. The two orthogonal components of the magnetic field intensity and of the magnetic flux density vectors can be measured by H -coils and B -coils, respectively. The Finite Element Method (FEM) with the T , Φ–Φ potential formulation has been applied in the simulations. The vector hysteresis property of the specimen has been approximated by the vector Preisach model. Finally, the nonlinear problem has been solved by the fixed-point technique. The aim of the present work is to focus on the design aspects of this kind of measurement system.

Hysteresis modeling describes transition curves corresponding with any change of the magnetic field. Memory properties in the magnetization processes are observed in macroscopic hysteresis curves and described by the return-point-memory and the wiping-out-property according to Madelung. This paper shows that the 3D micromagnetic hysteresis model incorporates these macroscopic memory properties. The model is developed by the authors to describe hysteresis processes starting from the materials microstructure. Simulations on samples with different dislocation densities show that the magnetic states are also similar on a microscopic scale when minor loops are closed.

The convexity inequality for small amplitude loops is used, together with the strict local monotonicity of large amplitude branches in the Preisach model, to derive a global second-order energy bound. Such an estimate is then used for solving a singular Preisach oscillator problem.

In the present paper the Preisach model of hysteresis is applied to model cyclic behavior of elasto-plastic material. Rate of loading and viscous effects will not be considered. The problem of axial loading of rectangular cross section and cyclic bending of rectangular tube (box) will be studied in details. Hysteretic stress-strain loop for prescribed history of stress change is plotted for material modeled by series connection of three unite element. Also moment-curvature hysteretic loop is obtained for a prescribed curvature change of rectangular tube (box). One chapter of the paper is devoted to results obtained by FEM using Finite Element Code ABAQUS. All obtained results clearly show advantages of the Preisach model for describing cyclic behavior of elasto-plastic material. U posmatranom radu Prajzakov model histerezisa je primenjen na modeliranje cikličnog ponašanja elasto-plastičnih materijala. Pri tome brzina nanošenja opterećenja i viskozni efekti se ne uzimaju u obzir. U radu se detaljno proučava problem aksijalnog naprezanja pravougaonog poprečnog preseka i ciklično savijanje pravougaone čelične cevi. Konstruisana je histerezisna petlja za zadatu promenu cikličnog opterećenja za materijal modeliran sa tri osnovna elementa. Takođe, histerezis momenat-krivina za čeličnu pravougaonu cev je konstruisan za zadatu istoriju promene krivine. U posebnom poglavlju se obrađuju rezultati dobijeni primenom MKE korišćenjem programa ABAQUS. Svi dobijeni rezultati jasno pokazuju prednost Prajzakovog modela kod opisivanja cikličnog ponašanja elasto-plastičnih materijala.

In this chapter we introduce the fundamental knowledge of systems with hysteresis. The main dynamics and effects are discussed, such as the static (rate-independent) hysteresis effect, the dynamic hysteresis effect, the creep effect, mechanical vibration, electrical dynamics, and the composite model. The properties of systems with hysteresis are presented in detail. Knowledge of the proposed dynamics, effects, and their properties is necessary to investigate systems with hysteresis. Especially, we propose modeling and control approaches for piezoelectric systems. To make the modeling easier to understand, we provide various figures and experimental data.

The hysteresis behaviors of anisotropic S-1 Heisenberg model have been studied within the effective field theory with two spin cluster. After giving the phase diagrams, the effect of the crystal field and anisotropy in the exchange interaction on the hysteresis loops has been determined. One important finding is the observation of double hysteresis loops in the low temperature and negative crystal field region. Double hysteresis loops disappear as the exchange anisotropy decreases. This behavior has been investigated carefully and physical explanation has also been given briefly. (C) 2015 Elsevier B.V. All rights reserved.

This work proposes a method of efficiently modeling the hysteresis of ferroelectric materials. Our approach includes the additive combination of a reversible and an irreversible portion of the polarization and strain, respectively. Whereas the reversible parts correspond to the common piezoelectric linear equations, the irreversible parts are modeled by hysteresis operators. These operators are based on Preisach and Jiles-Atherton hysteresis models which are well-established tools in ferromagnetic modeling. In contrast to micromechanical approaches, a Preisach or a Jiles-Atherton hysteresis operator can be efficiently numerically evaluated. A comparison of the resulting simulations to measured data concludes the article.