A NEW APPROACH FOR PREISACH DISTRIBUTION FUNCTION IDENTIFICATION USING FEW EXPERIMENTAL DATA

Leila Chelghoum,Fatma Zohra Louai,Nasreddine Nait-Said

doi:10.15546/aeei-2014-0030

Abstract

In this paper, we describe a new numerical method for Preisach distribution function identification. This approach is characterized from other identification methods published in the literature by the use of few experimental data extracted from first magnetization curve(usually provided by the manufacturers). In order to entirely discretize the Preisach triangle, the new method uses a cloud of points created and positioned in (H-M)-plane with respect to the experimental data. Mathematical developments revealed a parameter denoted λ used in the positioning and whose variation affects significantly the magnetic properties. Numerical simulations performed for different values of this parameter have shown its great influence on the hysteresis loops shape. Comparisons of the obtained results with experimental data allowed the identification of the λ factor as the ratio of the magnetization at the bend saturation to the magnetization of saturation. The efficiency and applicability of the developed method have been tested through numerical simulations and comparisons with available experimental data.

Highlights

The magnetic hysteresis observed in ferromagnetic materials has been a long standing problem and still attracting the attention of many researchers [1], [2], [3]
After a brief presentation of the principle of hysteresis modeling using the Preisach model, we present our new approach for identifying the Preisach density function using few experimental data extracted from the experimental first magnetization curve
We develop a new identification method using few experimental data extracted from first magnetization curve

Summary

INTRODUCTION

The magnetic hysteresis observed in ferromagnetic materials has been a long standing problem and still attracting the attention of many researchers [1], [2], [3]. Several mathematical models of hysteresis have been developed in order to describe magnetic materials behavior and their properties [1], [4], [5], [6] Among these models, the Preisach model is one of the most powerful tools in modeling magnetic hysteresis. It should be noted that each cell of the discretized Preisach triangle provides information about the discretized value of the Preisach density function Based on these observations, we develop a new identification method using few experimental data extracted from first magnetization curve. We develop a new identification method using few experimental data extracted from first magnetization curve These experimental points are associated with a cloud of created points whose magnetization is bounded by the saturation values. These created points are placed in the (H, M)plane by following a developed procedure and they allow full Preisach triangle discretization

FORMULATION OF THE NEW PROPOSED IDENTIFICATION METHOD

NUMERICAL RESULTS

CONCLUSION