The use of iterated laplace transformations in the solution of combined circuit-field problems

By consideration of a detailed example, the use of iterated Laplace transformations is shown to be an important technique for the solution of combined circuit-field problems, i.e., problems in which the simultaneous solution of ordinary and partial differential equations is necessary. One- and 2-mesh circuits in which eddy currents in a rectangular magnetic core play a significant role are analyzed utilizing the iterated transformations; equivalent circuits characterizing the effect of the eddy currents are also presented.