Inductance of perfectly conducting foils including spiral inductors

A numerical method for calculating the lumped inductance parameters of perfectly conducting foils (i.e. current sheets) is presented. A quasi-static analysis for computing the inductance for foils arbitrarily shaped in three dimensions is described. The vector current distribution on the structure is solved in terms of a scalar current potential function. The method of moments is utilized to solve the integral equation. Numerical results are also presented. The strength of this technique is that a bound on the numerical accuracy can be provided. The relative error provides not only a self-consistency check, but also the accuracy with which the numerical values have been computed. Foil structures which can be approximated accurately with a triangular patch model and whose terminal edge current distributions are known can be analyzed with this method.<>