Abstract-In this paper we are interested in the study and modeling of ferromagnetic hysteresis. We simulated the magnetic hysteresis based on the Jiles-Atherton (J-A) model that we have developed using Matlab-Simulink environment. The (J-A) model is based on physical considerations, it is characterized by five parameters and considered to our knowledge as the most accurate and complete one. It allows studying a wide range of ferromagnetic material hysteresis loops which justify in this work our choice for this model. In order to determine these five model parameters, we have to numerically analyze experimental data from the material hysteresis loop. For this purpose we applied the (J-A) model for the dynamic study of a magnetic circuit taking into account the phenomenon of hysteretic material.

Aljstract -In this paper, we propose a mathematical modeling of the magnetization curve B (H) using the characteristic of the differential permeability pd (H). Two mathematical models are proposed: one is polynomial, and the other one is a sum of two exponential functions. The identification o f the parameters o f the models is carried by the methods of linear and non linear optimization. The validation of the exponential model is not affected by the noises related to the ,ud (H) measurement signat Index Terms -Tnitial magnetization curve, differential permeability, & I (H) modelling. 0-7803-8662-0/04/$20.00 02004 IEEE 460 V.P. Djiakonov, "Data book sur lcs algorithmcs de programmalion, " Edition Nauka, Redaction Ccntralc dc Littbturc dc Maths physique, Moscou, 1987. A. Antonion, " Digital filtcrs, analysis and dcsign," Mc Gruw-Hill, Book company, Ncw York, 1979. R.L. Raincr, B. Gold, ' I Thcory and application of digital signal processing, " Printice-Hull, Englcwoods cliffs, Ncw Jcrscy, 1975.

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Abstract:In this paper, we propose a complete automation of the different measurements of ferromagnetic materials dynamic characterization according to the CEI60404-6 standard. The measurement bench consists of two major parts:hardware and software. The hardware part comprises a programmable function generator MTX-3240, an electronic card for the magnetic induction's waveform control, and an NI PCI-6225 acquisition card. The software part is developed in the LabVIEW environment to enable the generator and the acquisition card control. It also allows for the processing of obtained experimental records and the correction of static errors. The identified characteristics are mainly the first magnetization curve, the static and the differential permeability, the hysteresis loop characteristics, and the core loss measurements.

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