Quantifying of magnetically separated particles using Hall-effect sensing

¹ Laboratoire d'Electrotechnique (LEC), Université Mentouri, Route Ain Elbey 25000, Constantine, Algeria
² IREENA-IUT-CRTT, 37 Boulevard de l'Université, BP 406, 44602 Saint-Nazaire Cedex, France

Corresponding authors: mehasni@yahoo.fr med_latreche@yahoo.fr mouloud.feliachi@univ-nantes.fr

Received: 18 January 2007
Accepted: 3 April 2007
Published online: 30 May 2007

Abstract

In this paper, we present a modeling of a captured ferromagnetic particles quantifying method based on the detection and evaluation of the magnetic field variation caused by the particle static buildup. The detecting element is a Hall-effect sensor (probe) associated to the particle capture element which is an electromagnet with iron core. From a known value of the magnetic field measured at the particle static buildup locality, we predict the particle global concentration in the treated material sample (powder or liquid). This prediction is achieved by solving the inverse problem for the captured particles magnetic field variation. Such a resolution is based on an iterative resolution of the forward problem until obtaining the global particle concentration related to the measured value of the field variation. Because an exact value can not be obtained we retain the value that minimizes an error function. To minimize such a function we have used the Tabu searching method.