THREE DIMENSIONAL FINITE ELEMENT VECTOR POTENTIAL FORMULATION OF MAGNETIC FIELDS IN ELECTRICAL APPARATUS.
Article
Demerdash, NA, Fouad, F, Nehl, TW et al. (1981). THREE DIMENSIONAL FINITE ELEMENT VECTOR POTENTIAL FORMULATION OF MAGNETIC FIELDS IN ELECTRICAL APPARATUS.
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Demerdash, NA, Fouad, F, Nehl, TW et al. (1981). THREE DIMENSIONAL FINITE ELEMENT VECTOR POTENTIAL FORMULATION OF MAGNETIC FIELDS IN ELECTRICAL APPARATUS.
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A three dimensional finite element formulation for determination of magnetostatic fields in any three dimensional problem was developed. The basic finite element used here was the first order tetrahedron. At each of the four vertices (nodes) of a tetrahedron, the magnetic vector potential has three x, y and z components. Also, the reluctivities within an element are uniform and have x, y and z components. The same holds for the current densities within a tetrahedron where we have x, y and z current density components. It has been shown by variational techniques that obtaining the stationary point of the chosen functional is equivalent to satisfying the three partial differential equations governing the field, as well as satisfying the Dirichlet and Neumann boundary conditions. Furthermore, the validity of the approach was verified through application of the method to two practical three dimensional field problems, where excellent agreement between measured and calculated flux densities and inductances prevailed. A companion paper includes details of these results.
