Hybrid−mixed formulation for static−current flow problem compared with conventional formulation

Anthony Carpentier (1) , Loïc Rondot (2) , Ronan Perrussel (3) , Eric Rodriguez (2) , Christophe Guerin (2)

1 G2ELab - Laboratoire de Génie Electrique de Grenoble
2 Cedrat
3 AMPERE - Ampère

The electric scalar potential formulation is traditionally used to determine the static-current flow. This formulation is not naturally compatible with the electric vector potential formulation (T-φ). This is explained by a calculation of current coming from the summation of static and eddy currents whose functional spaces are different. In this paper, we propose an alternative approach based on mixed elements to obtain the current densities in the space H(div) and compare them to the electric scalar potential formulation.

Domaines: Energie électrique

Anthony Carpentier, Loïc Rondot, Ronan Perrussel, Eric Rodriguez, Christophe Guerin. Hybrid−mixed formulation for static−current flow problem compared with conventional formulation. Compumag 2011, Jul 2011, Sydney, Australia. pp.n°650. ⟨hal-00649759⟩