NONLINEAR VECTOR POTENTIAL FORMULATION AND EXPERIMENTAL VERIFICATION OF NEWTON-RAPHSON SOLUTION OF THREE DIMENSIONAL MAGNETOSTATIC FIELDS IN ELECTRICAL DEVICES.
Conference
Mohammed, OA, Demerdash, NA, Nehl, TW. (1985). NONLINEAR VECTOR POTENTIAL FORMULATION AND EXPERIMENTAL VERIFICATION OF NEWTON-RAPHSON SOLUTION OF THREE DIMENSIONAL MAGNETOSTATIC FIELDS IN ELECTRICAL DEVICES.
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An iterative technique, based on magnetic vector potential formulation and the Newton-Raphson method, for the determination of the three dimensional magnetostatic field distributions in electrical devices is given. The formulation has been applied to a practical example of determining the field in and around a shell type 1. 5 kva single phase transformer. The convergence and implementation characteristics of the developed method are given in this paper which show a saving of about 34% in CPU solution time in comparison with previously published methods. Experimental verification is given in terms of a comparison between computed and experimentally obtained values of flux densities surrounding the transformer core and winding, under heavily saturated conditions. Excellent agreement between test and calculated flux densities was achieved.