Proper Generalized Decomposition method applied to solve 3D Magneto Quasistatic Field Problems coupling with External Electric Circuits

Thomas Henneron (1) , Stéphane Clenet (1)

1 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697

In the domain of numerical computation, Proper Generalized Decomposition (PGD), which consists of approximating the solution by a truncated sum of separable functions, is more and more applied in mechanics and has shown its efficiency in terms of computation time and memory requirements. We propose to evaluate the PGD method in order to solve 3D quasi static field problems coupling with an external electric circuit. The numerical model, obtained from the PGD formulation, is used to study 3D examples. The results are compared to those obtained when solving the full original problem. It is shown in this paper that the computation time rate versus the number of time steps is very small compared to the one a classical time stepping method and can be very efficient to solve problems when small time steps are required.

Mots clés: Finite Element; quasi-static problem; circuit equation; Model order reduction; Proper Orthoginal Decomposition; MOR; PGD

Domaines: Energie électrique

Thomas Henneron, Stéphane Clenet. Proper Generalized Decomposition method applied to solve 3D Magneto Quasistatic Field Problems coupling with External Electric Circuits. IEEE Transactions on Magnetics, 2014, 51 (6), pp.1-10. ⟨10.1109/TMAG.2014.2383998⟩. ⟨hal-01187425⟩