Nonlinear time-domain formulation of the method of moments

Author

Esposito, Nuazio ; Musolino, Antonino ; Raugi, Marco

Author_Institution

Dipartimento di Sistemi Elettrici e Automazione, Pisa Univ., Italy

Volume

31

Issue

3

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1388

Lastpage

1391

Abstract

In this paper a time domain formulation of the method of moments for the analysis of nonlinear materials is presented. The magnetization vector M and the nonlinear constitutive equation H=H(B) are used in order to express the magnetic vector potential as a function of conduction currents only. The Lorentz gauge is used in order to express the scalar potential as a function of the vector potential. By combining the electric field definition and Ohm´s law an integral equation in the conduction current unknowns is obtained. The method of moments is then applied to this equation. The use of pulse functions as subsection bases allows a quick matrix set up especially when regular volume shapes are selected. Calculated results are compared with results obtained with other methods relating to benchmark problems

Keywords

Galerkin method; electromagnetic fields; integral equations; method of moments; time-domain analysis; EM field distribution; Lorentz gauge; Ohm´s law; benchmark problems; conduction currents; electric field definition; integral equation; magnetic vector potential; magnetization vector; method of moments; nonlinear constitutive equation; nonlinear materials; nonlinear time-domain formulation; pulse functions; regular volume shapes; scalar potential; Conducting materials; Integral equations; Magnetic analysis; Magnetic domains; Magnetic materials; Magnetization; Moment methods; Nonlinear equations; Pulse shaping methods; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.376286

Filename

376286