DocumentCode :
912147
Title :
Frequency-domain formulation for nonlinear method of moments
Author :
Esposito, Nunzio ; Raugi, Marco ; Tellini, Andrea
Author_Institution :
Dipartimento di Sistemi Elettrici e Automazione, Pisa Univ., Italy
Volume :
32
Issue :
3
fYear :
1996
fDate :
5/1/1996 12:00:00 AM
Firstpage :
788
Lastpage :
791
Abstract :
In this paper a frequency domain formulation of the method of moments taking into account the presence of ferromagnetic materials is presented. By combining the electric field definition, Ohm´s law and Lorentz gauge inside every volume element into which the system is subdivided, a linear algebraic system of integral equations is obtained. Considering the nonlinear constitutive equation H=H(B) and the magnetization M a nonlinear algebraic system of equations is obtained. The unknowns of these systems are the time Fourier transforms of magnetizations and conduction currents. The solution of these systems for a finite number of harmonics gives the frequency domain solution of the problem. 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 :
Fourier transforms; electromagnetic induction; ferromagnetism; frequency-domain analysis; integral equations; matrix algebra; method of moments; nonlinear equations; Fourier transforms; Lorentz gauge; Ohm´s law; conduction currents; electric field definition; ferromagnetic materials; frequency domain formulation; harmonics; integral equations; linear algebraic system; magnetization; matrix; nonlinear algebraic system; nonlinear constitutive equation; nonlinear method of moments; pulse functions; regular volume shapes; subsection bases; Electromagnetic propagation; Electromagnetic transients; Fourier transforms; Frequency domain analysis; Integral equations; Magnetic materials; Magnetization; Moment methods; Nonlinear equations; Pulse shaping methods; Shape;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/20.497358
Filename :
497358
Link To Document :
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