Vector Hysteresis Modeling (original) (raw)

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.

Hysteresis Modeling and Applications

Advances in Scattering and Biomedical Engineering, 2004

Preisach modeling, long known in the area of magnetics, has introduced mathematical abstraction to the modeling of the highly nonlinear and complex phenomenon of hysteresis. The 2D Preisach-type models presented here, departing slightly from the classical formulation, waive some of its limitations while maintaining the major advantages of simplicity and speed in calculations. Results on different types of ferromagnets are shown, as well as on magnetostrictive materials and shape memory alloys.

Mixed-type models of hysteresis

Journal of Magnetism and Magnetic Materials, 1995

The hysteresis models are currently classified in two categories: physical and phenomenological models. A new model-type, referred to as mixed-type model, is introduced. In mixed-type models starting from the hysteresis loop model for the ferromagnetic particles as well as from their distributions as a function of orientation, anisotropy and interacticrn field, an equivalent distribution of pseudo-particles is computed. Each pseudo-particle is associated to a certain small zone of the Preisach plane. Since in the first stage the model is a physical-type model and in the second it becomes similar to a phenomenological Preisach-type model, it was named mixed-type model. An efficient numerical implementation of the static generalized interacting particle system (IPS) model is presented. A comparison of experimental and simulated data is provided.

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.

Vector Hysteresis Model at Micromagnetic Scale

IEEE Transactions on Magnetics, 2000

In this paper we discuss about the possibility to reproduce the behavior of a magnetic material at micromagnetic scale with a phenomenological vector model of hysteresis based on the definition of a vector hysteron. We compare data computed by means of two different static magnetic models. The former is based on the solution of Brown's equation (micromagnetic scale). The latter is a vector generalization of the Classical Scalar Preisach Model (macromagnetic scale). We show that the magnetization versus applied field curves computed by both models are in good agreement, and that the macromagnetic-scale model is able to reproduce the physical behavior of the magnetic materials at micromagnetic scale.

Preisach Hysteresis Modeling and Applications

2006

Simulation of the hysteresis phenomenon using Preisach’s theory

A computer model for the hysteresis phenomenon in ferromagnetic cores is presented. The determination of the B-H trajectories is based on Preisach's theory, and requires, as input data, the extrado function B,(H) which is the upper bound of the limiting hysteresis loop. The hysteresis model has been checked against measurements obtained for a small transformer. There is satisfactory agreement between the calculated and measured minor B-H loops.

An energy-based vector hysteresis model for ferromagnetic materials

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2006

A phenomenological energy-based macroscopic model for an isotropic ferromagnetic material is presented. As such, it gives rise, without any further assumption, to a vector hysteresis model. By combining several elementary submodels with each other, the number of parameters can be increased for a better accuracy. If required, dynamic effects and anisotropy can be added as well without difficulty.

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.

Vector Hysteresis Modeling (original) (raw)

Related papers