COUPLED VECTOR-SCALAR POTENTIAL METHOD FOR 3D MAGNETOSTATIC FIELD COMPUTATIONS USING HEXAHEDRAL FINITE-ELEMENTS

This paper introduces a three dimensional finite element (3D-FE) metho d based on a coupled vector-scalar potential formulation. The method i s most suited for large-scale magnetostatic field applications contain ing mixed media (conductors-iron), due to substantial savings in compu tational storage and cpu time. The method allows one to calculate the magnetic field intensity in the current-carrying regions using a reduc ed curl-curl formulation based on a second order hexahedral type FE. T he resulting reduced field intensity is used to develop forcing functi ons for a global magnetic scalar potential solution over the entire vo lume of the problem based on a first order hexahedral type FE. The ana lysis developed is applied to illustrative shell-type transformer for verification purposes of numerical results.