Title :
Modelling of the differential permeability and the initial magnetization curve for ferromagnetic materials
Author :
Jaafar, M. ; Markovski, V. ; Elleuch, M.
Author_Institution :
Centre de Recherche en Productique, Ecole Superieure des Sci. et Tech. de Tunis, Tunisia
Abstract :
In this paper, we propose a mathematical modeling of the magnetization curve B(H) using the characteristic of the differential permeability μd(H). Two mathematical models are proposed: one is polynomial, and the other one is a sum of two exponential functions. The identification of the parameters of 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 μd(H) measurement signal.
Keywords :
ferromagnetic materials; magnetisation; mathematical analysis; optimisation; permeability; polynomials; differential permeability; exponential functions; ferromagnetic materials; linear optimization; magnetization curve; nonlinear optimization; polynomial; Conducting materials; Magnetic field measurement; Magnetic hysteresis; Magnetic materials; Magnetic properties; Magnetization; Mathematical model; Optimization methods; Permeability; Polynomials;
Conference_Titel :
Industrial Technology, 2004. IEEE ICIT '04. 2004 IEEE International Conference on
Print_ISBN :
0-7803-8662-0
DOI :
10.1109/ICIT.2004.1490334
