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The Analysis of Magnetic Field using Magnetic Flux Density for Unknown Variable

In magnetic field analysis, designer and analyst are interested in the magnitude of magnetic flux density. To determine this quantity accurately, the associated electromagnetic field problem must be solved. Since continuity of magnetic flux density on the boundaries of elements is not satisfied, vectorpotential is used as an unknown variable and then differentiated to obtain the magnetic flux density. To solve this problem, this paper use the magnetic flux density directly as an unknown variable. The formulation of this new method and its application to two-dimensional and axisymmetrical magnetic fields are explained and shown. The calculated error of the magnetic flux density using the new proposed technique is compared with that obtained by the traditional finite element method for an infinitely long line model of known solution. The comparison shows that the new technique produced better results than the traditional one in terms of three-dimensional fields and eddy current problems.