Abstract
This article deals with finite element solution of the full linear Maxwell’s equations. The focus lies on the transient simulation of slow processes, i.e. of processes, where wave propagation does not play a role. We employ an implicit Euler method for time discretization of the A, φ-based Galerkin-formulation with Coulomb-gauge. We propose a novel stabilization technique that makes possible the use of very large timesteps. This is of supreme importance for efficient simulation of slow processes in order to keep the number of timesteps reasonably small. The greatly improved robustness in comparison with a standard formulation is demonstrated through numerical experiments. As an example we simulate the lightning impulse test of an industrial dry-type transformer.
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References
Comsol website, URL http://www.comsol.com
Hiptmair, R.: Finite elements in computational electromagnetism. Acta Numerica 11, 237–339 (2002)
Hiptmair, R., Krämer, F., Ostrowski, J.: A robust Maxwell formulation for all frequencies. IEEE Trans. Magn. 44(6), 682–685 (2008)
Hiptmair, R., Sterz, O.: Current and voltage excitations for the eddy current model. Int. J. Numer. Model 18(1), 1–21 (2005)
International standard IEC 60076-11: Dry-type transformers. International Electrotechnical Commission, Geneve, Switzerland (2004)
Ostrowski, J., Bebendorf, M., Hiptmair, R., Krämer, F.: H-matrix based operator preconditioning for full maxwell at low frequencies. IEEE Trans. magn. 46(8), 3193–3196 (2010)
Pardiso website, www.pardiso-project.org
van Rienen, U.: Numerical methods in computational electrodynamics. In: Lecture Notes in Computational Science and Engineering, vol. 12. Springer, Berlin (2001)
Sabariego, R., Dular, P., Gyselinck, J.: Time-domain homogenization of windings in 3-d finite element models. IEEE Trans. magn. 44(6), 1302–1305 (2008)
Schmidt, K., Sterz, O., Hiptmair, R.: Estimating the eddy-current modelling error. IEEE Trans. Magn. 44(6), 686–689 (2008)
Steinmetz, T., Kurz, S., Clemens, M.: Domains of validity of quasistatic and quasistationary field approximations. Submitted to COMPEL 30(4), 1237–1247 (2011)
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Ostrowski, J., Hiptmair, R., Krämer, F., Smajic, J., Steinmetz, T. (2012). Transient Full Maxwell Computation of Slow Processes. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_10
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DOI: https://doi.org/10.1007/978-3-642-22453-9_10
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