Hostname: page-component-6bf8c574d5-r4mrb Total loading time: 0 Render date: 2025-03-07T20:24:41.124Z Has data issue: false hasContentIssue false
  • English
  • Français

The simulation of magnetic problems with combined fast and slow dynamics using a transient time-harmonic method*

Published online by Cambridge University Press:  15 June 2001

J. Driesen  and
K. Hameyer
J. Driesen*
Affiliation:
Katholieke Universiteit Leuven, Dep. EE (ESAT), Div. ELEN, Kasteelpark Arenberg 10, 3001 Heverlee, Belgium
K. Hameyer
Affiliation:
Katholieke Universiteit Leuven, Dep. EE (ESAT), Div. ELEN, Kasteelpark Arenberg 10, 3001 Heverlee, Belgium
*
[email protected]
Get access

Abstract

An interesting method based on a variable splitting into two time-scales, the “transient time harmonic method” is proposed allowing to compute transient phasor solutions of problems involving slow, close to quasi-static and fast dynamics simultaneously, yielding stiff properties. The time-step of the dynamic problem can be chosen larger than the fundamental time interval, resulting in an “envelope” model for the problem with the small time constant. The derivation of the FEM matrices is discussed. Examples, including a transformer operating a slow varying load and a transient coupled electromagnetic-thermal problem, are discussed.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 14 , Issue 3 , June 2001 , pp. 165 - 169
Copyright
© EDP Sciences, 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

This paper has been presented at NUMELEC 2000.

References

W.L. Willard, Numerical methods for stiff equations and singular perturbation problems (D. Reidel, Publishing Company, 1981).
P.P. Silvester, R.L. Ferrari, Finite elements for electrical engineers, 3rd edn. (Cambridge, University Press, 1996).
Driesen, J., Hameyer, K., COMPEL J. 19, 420 (2000).
P. Feldmann, J. Roychowdhury, in Proc. Int. Conf. on Computer Aided Design (ICCAD) '96, San Jose, 1996.
De Gersem, H., Mertens, R., Pahner, U., Hameyer, K., Belmans, R., Eur. Phys. J. AP 1, 247 (1998). CrossRef
Chaboudez, C., Clain, S., Glardon, R., Rappaz, J., Swierkosz, M., Touzani, R., IEEE Trans. Magn. 30, 5028 (1994). CrossRef