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Integral equation to calculate current distribution in thin conductors by finite elements

pubblicazioni - Articolo

Integral equation to calculate current distribution in thin conductors by finite elements

finite elements Roberto Brambilla*, Luciano Martini*, Francesco Grilli**, Frèdèric Sirois** Rivista: Superconductor Science and Technology * CESI RICERCA ** ECOLE POLYTECHNIQUE DE MONTRÉAL, MONTRÈAL, QC, CANADA The current density and magnetic field distributions in thin conductors are important for several applications, and they can be computed by solving integral equations. This paper describes the implementation of a one- dimensional (1D) integral equation in a finite-element model. This numerical method does not require the use of ad hoc assumptions to avoid logarithmic divergences of the current density at the conductor’s edges and, by using a coupling with 2D electromagnetic models, it can be used to solve cases of increasing complexity. With respect to commonly used 2D models, it overcomes the typical problems linked to the mesh of conductors with high aspect ratio, such as the use of large memory and long computing times.

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