Author(s)

J. Lobry

Abstract

A new BEM technique for nonlinear 2-D magnetostatics J Lobry Department of Electrical Engineering, Faculte Poly technique de Mons, Belgium Abstract The paper presents a new boundary element technique for the solution of nonlinear 2-D magnetostatic problems. It is based on a recurrent formulation of Poisson's equation where the change in material property between the domains is modelled as a single layer along the interfaces. Then the nonhomogeneity appears as a source term. The nonlinear regions are decomposed into subdomains where the material is assumed homogeneous. The underlying principle lies on the transmission-line modelling (TLM) method that is commonly used for electric network analysis. A new numerical scheme is derived where the solution is obtained iteratively without any system of algebraic equations for open boundary problems. This is an important point with respect to the classical FEM and BEM treatment that always require the assembly and the solution of a

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