MOM formulation for nonlinear low-frequency analysis in the time domain

Author

Musolino, Antonino ; Raugi, Marco ; Tellini, Andrea

Author_Institution

Dipt. di Sistemi Elettrici e Autom., Pisa Univ., Italy

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2609

Lastpage

2612

Abstract

A formulation of the method of moments for the analysis of nonlinear low frequency problems is presented. The examined system is subdivided into elementary volume elements whose nonlinearity is taken into account by means of the magnetizations M. Considering the nonlinear constitutive equation H=H(B) a nonlinear algebraic system of equations is obtained. By combining Gauss law and current continuity at the boundaries among regions with different conductivity a set of equations is obtained. Writing Ohm´s law inside the conductive regions another integral equation set that allows the determination of the conduction current and surface charge unknowns is obtained. The method of moments is then applied to this system of equations. 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

Keywords

electromagnetic wave scattering; method of moments; time-domain analysis; Gauss law; MOM formulation; Ohm´s law; conduction current; current continuity; elementary volume elements; magnetizations; nonlinear algebraic system; nonlinear constitutive equation; nonlinear low-frequency analysis; pulse functions; regular volume shapes; subsection bases; surface charge unknowns; time domain; Conductivity; Differential algebraic equations; Frequency; Gaussian processes; Integral equations; Magnetic analysis; Message-oriented middleware; Moment methods; Nonlinear equations; Writing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717603

Filename

717603