Numerical method for calculating magnetic-flux and eddy-current distributions in three dimensions

A practical technique is presented for the numerical solution of general three-dimensional electrodynamic field problems. Circuit models are derived separately for the electric and magnetic parts of the field. Conventional network-analysis techniques are then developed to isolate the independent closed paths that link the models. This avoids the difficulty, inherent in the usual differential equation approach, of describing the field interactions. Network techniques are again employed to formulate a straightforward solution. Sample calculations are performed for three power-frequency steady-state a.c. problems to demonstrate the application of the method.