Title :
Numerical calculation of nonlinear transient field problems with the Newton-Raphson method
Author :
Drobny, Silvia ; Weiland, Thomas
Author_Institution :
Fachgebiet Theorie Elektromagnetischer Felder, Tech. Hochschule Darmstadt, Germany
fDate :
7/1/2000 12:00:00 AM
Abstract :
The modeling and numerical simulation of transient electromagnetic field problems with ferromagnetic materials is described in the context of the Finite Integration Technique (FIT). This paper presents a Newton-Raphson method adapted to FIT which is faster than the Successive Approximation technique. Due to the nonlinear material behavior these algorithms are not always stable. In order to improve convergence, a dynamic relaxation process and a suitable interpolation of the magnetization curve are presented. Results of these iterative schemes are compared with measurements of typical benchmark problems
Keywords :
Newton-Raphson method; convergence of numerical methods; electromagnetic field theory; ferromagnetic materials; integration; magnetisation; transient analysis; Newton-Raphson method; algorithm; convergence; dynamic relaxation; ferromagnetic material; finite integration technique; magnetization; nonlinear transient electromagnetic field; numerical simulation; Context modeling; Convergence; Electromagnetic fields; Electromagnetic modeling; Electromagnetic transients; Iterative algorithms; Magnetic materials; Newton method; Numerical models; Numerical simulation;
Journal_Title :
Magnetics, IEEE Transactions on
