An accurate knowledge of the magnetic as well as other field distributions is of great importance in design optimization. In two dimensional problems with the current flow in only one direction, the magnetic field can be solved by computing a scalar potential or one component of the vector potential, The general formulation for three-dimensional solutions, including nonlinearities, is more complex and requires all three components of the vector potential as well as a scalar potential for the description of the fields. It is the purpose of this paper to present a general systematic, novel formulation at low frequencies feasible for the computer-aided design or analysis in terms of potential functions for three-dimensional numerical solutions of the nonlinear electromagnetic field problems that include either nonlinear magnetic materials or nonlinear electric materials. Special cases of the magnetostatic as well as eddy-current problems are discussed.
CAD, eddy currents, magnetostatic problems, electrical machinery, design optimization, scalar potential, vector potential, electric materials
Electromagnetic fields, Computer-aided design, Magnetic materials
Electromagnetics and photonics
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Sarma, Mulukutla S., "New developments in the computer-aided analysis of three-dimensional electromagnetic field problems as applied to the design of electrical machinery" (1974). Electrical and Computer Engineering Faculty Publications. Paper 2.
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