The inverse problem methodology for the measurement of the permeability of the ferromagnetic materials

Author

Fouladgar, J.

Author_Institution

Lab. de Recherche des Tech. Inductives, CRTT, St. Nazaire, France

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

2139

Lastpage

2142

Abstract

The inverse problem methodology is used to evaluate the permeability of the ferromagnetic materials from the measurement of the impedance of a sensor. The linear case is studied by a harmonic A-V formulation of the Maxwell equations. The nonlinear case is elaborated by a first harmonic equivalent permeability. The Nelder-Mead simplex search method is then used to solve the inverse problem. To obtain the best operating frequency of the installation, the sensitivity of the sensor is calculated as a function of the frequency

Keywords

Maxwell equations; ferromagnetic materials; harmonic analysis; inverse problems; magnetic permeability measurement; Maxwell equations; Nelder-Mead simplex search method; ferromagnetic materials; first harmonic equivalent permeability; harmonic A-V formulation; inverse problem methodology; nonlinear case; operating frequency; permeability measurement; sensor impedance measurement; sensor sensitivity; Frequency; Impedance measurement; Inductors; Inverse problems; Magnetic materials; Magnetic sensors; Maxwell equations; Permeability measurement; Steel; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582754

Filename

582754