Direct dual finite element solution method for the determination of capacitance, conductance or inductance in static linear problems

Abstract

Presents a direct solution method for the determination of the capacitance, conductance or inductance of static linear problems with the dual finite element method. The direct solution method provides an entirely energy‐based method for the calculation of these global parameters and differs from the conventional solution techniques in that no recourse is required to the intermediate determination of the potential distribution. The direct solution method can be seen as the reduction of a dual circuit parameter network for the finite element representation. Compares the dual‐circuit parameter description with another, well‐known variational method called “Tubes and Slices”. Shows that by aligning the finite element mesh with the approximate positions of the equipotentials and flux lines in the system, the dual finite element model can be simplified to the equivalent of Tubes and Slices model and that both methods can produce exactly the same results.