Effectiveness of Higher Order Time Integration in Time-Domain Finite-Element Analysis

Author

Okamoto, Yoshifumi ; Fujiwara, Koji ; Ishihara, Yoshiyuki

Author_Institution

Dept. of Electr. & Electron. Syst. Eng., Utsunomiya Univ., Tochigi, Japan

Volume

46

Issue

8

fYear

2010

Firstpage

3321

Lastpage

3324

Abstract

The backward Euler (BE) method is widely applied to the magnetic field analysis of various electrical machines for the reason of unconditional stability in the time-domain analysis. However, computation accuracy occasionally deteriorated in the time domain. In this paper, the effectiveness of higher order time integration using GEAR´s backward formulas is validated by the comparison with the conventional time integration technique such as BE and Galerkin method from the viewpoint of the numerical accuracy and the effect of convergence characteristics of incomplete Cholesky conjugate gradient (ICCG) and Newton-Raphson (NR) method. As a result, it is shown that the computation accuracy can be improved by GEAR´s backward formulas with the same elapsed time as the BE method.

Keywords

Galerkin method; Newton-Raphson method; conjugate gradient methods; convergence of numerical methods; electric machines; electromagnetism; finite element analysis; time-domain analysis; Cholesky conjugate gradient method; Galerkin method; Newton-Raphson method; backward Euler method; convergence characteristics; higher order time integration; time-domain finite-element analysis; Circuit analysis; Convergence of numerical methods; Electric potential; Finite element methods; Integral equations; Magnetic analysis; Magnetic fields; Moment methods; Shape; Time domain analysis; Backward Euler (BE) method; GEAR´s backward difference formulas; Galerkin method; coupled analysis with electrical circuits; eddy current analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2044771

Filename

5512888