Advanced FI²TD algorithms for transient eddy current problems

Abstract

Transient eddy current formulations based on the Finite Integration Technique (FIT) for the magneto‐quasistatic regime are extended to include motional induction effects of moving conductors with simple geometries by different approaches. A new regularization of the formulation using discrete grad‐div augmentation of the curlcurl formulation is presented and tested. To improve the implicit time integration process, several schemes for an error controlled variable time step selection are presented and for the repetitive solution of the arising large sparse systems of equations a sparse direct solver is compared to iterative methods such as a preconditioned conjugate gradient method and a new algebraic multigrid solver, which is aware of the curlcurl nullspace.

Citation

Clemens, M., Wilke, M. and Weiland, T. (2001), "Advanced FI²TD algorithms for transient eddy current problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 20 No. 2, pp. 365-379. https://doi.org/10.1108/03321640110383267