Scalar Hysteresis Model Research Articles

Neural network based scalar hysteresis model

A neural network (NN) model of scalar hysteresis phenomena has been developed for modeling the behavior of magnetic materials. The function approximation ability of NNs has been applied. The virgin curve and a set of the first order reversal branches can be stored preliminary in a system of three NNs. Different properties of magnetic materials can be simulated by a knowledge-based algorithm. Value of differential susceptibility, dM/dH can be expressed in analytical form. Finally hysteresis characteristics predicted by the introduced model are compared with the results of the Preisach simulation technique.

A PWL circuit approach to the definition of a ε-approximation model of scalar static hysteresis

A piecewise-linear (PWL) circuit model of hysteresis phenomena is presented. The proposed model involves the use of parallel-connected simple PWL circuits. The PWL characteristic of the model allows a direct determination of the condition on a rate-independent hysteresis behavior. The basic features of the model are discussed through proper demonstrations. In particular, it is shown that the parameters of the PWL circuit model can be set by using an identification theorem that ensures an arbitrary precision (/spl epsiv/-approximation). The theorem results from the generalization of analogous theorems for single-valued functions to many-valued functions. Finally, both numerical comparisons with other models and experimental fittings are presented to verify the robustness of the /spl epsiv/-approximation theorem to finite-precision arithmetic.

A new neural-network-based scalar hysteresis model

A neural network (NN)-based model of scalar hysteresis characteristics has been developed for modeling the behavior of magnetic materials. The virgin curve and a set of the first-order reversal branches can be stored preliminary in a system of three NNs. Different properties of magnetic materials can be simulated by a simple if-then type knowledge-based algorithm. Hysteresis characteristics of different materials predicted by the introduced model are compared with the results of the classical Preisach simulation technique. Comparisons are plotted in figures.

Two-dimensional finite element magnetic modeling for scalar hysteresis effects

A general transient simulation method accurately models the magnetic state of a device containing a ferromagnetic core by incorporating a scalar hysteresis model into the standard finite element framework. The method numerically implements the Jiles-Atherton hysteresis model to simulate hysteresis without introducing additional parameters to simulate minor loops. Additionally, it extends the finite element geometry to two-dimensional space by predefining directional vectors or element coordinate systems that specify the local field directions for which the scalar material model applies. The method is verified by applying it to a rotationally symmetric ferromagnetic core with a time harmonic current excitation. Finally, the verified technique is applied to model a square-shaped inductor core having a more general two-dimensional magnetic field distribution.

Second-order Preisach model of scalar hysteresis

A second-order Preisach model of scalar hysteresis is proposed and investigated. Parameter functions of this model are identified using transition curves of up to the third order. Wiping-out property and the property of invariance in the change of minor loop shape due to elimination of the first input extremum are shown to be the necessary and sufficient conditions for the representation of a given scalar hysteresis relation by the proposed model

A simple scalar model for magnetic hysteresis

In the computation of magnetic fields for rotating electric machines, transformers, and reactors, the hysteresis nonlinearity sometimes has to be taken into account. Nowadays, many scalar hysteresis models are known for one-directional fields. The main problem with using these models is that the models are complicated and they need much computation time. A new simple version of the scalar hysteresis model is presented for different computation tasks where the magnetic field is computed or where the magnetic state tracing of a core is needed. The major and minor hysteresis loops can be simulated. It is possible to make computations starting from the field strength as well as from the flux density. The model is based on the limiting hysteresis cycle and this measured cycle is used as the parametric data for the identification of ferromagnetic material.

An improved analytical hysteresis model and its implementation in magnetic recording modeling by the finite element method

An improved finite element modeling of the magnetic recording writing process is presented, It is based on a new analytical scalar hysteresis model and on the use of a modified fixed-point method to insure fast and unconditional convergence of this highly nonlinear computation. The results of the hysteresis model show an accurate description of major loop and closed minor loops, as experimentally observed. The simulation of the behavior of a planar head writing on a thin film disk also closely agrees with experimental data.

A new model of static scalar hysteresis

A new model of static magnetic hysteresis, based on Krasnoselskii operators of stop type, is studied experimentally. A novel feature of the model is the capability to describe clockwise-oriented loops in the input-output plane. Consequently, it can describe the H = H[ B] constitutive relationship of a ferromagnetic material. Some results are reported and discussed.

Hierarchy of scalar hysteresis models for magnetic recording media

This paper presents the relationship between the various Preisach-based scalar hysteresis models. The statistics of the interaction field computed by these models, the hierarchy of these models, and the corresponding parametric identification techniques are discussed. This enables the design engineer to determine which of the models provides sufficient detail, yet is simple enough, to characterize the aspect of hysteresis that is of particular interest.

A new model of magnetic hysteresis, based on stop hysterons: an application to the magnetic field diffusion

A new model of scalar static magnetic hysteresis based on the superposition of Krasnoselkii hysterons of stop type is described. Unlike the magnetic hysteresis models known in literature, the present one naturally implements the constitutive relationship H=H[B]. In this respect it allows to formulate a field problem directly in terms of the vector magnetic potential. In the present work the new model has been applied to study the one-dimensional magnetic field diffusion in a hysteretic iron body by means of the Galerkin method.

Applications of a new model of scalar hysteresis to a series ferroresonant circuit

In this paper the hysteretic behaviour of an iron core inductor is described by means of a new model based on a sequential algorithm. This model has been applied to study a series ferroresonant circuit. The simulations obtained using the proposed model are in good agreement with experimental results, as well as with the predictions of the classical Preisach model; nevertheless the latter may be computationally more cumbersome.