General localised junction model in the analysis of wire-to-plate junctions

A new entire-domain Galerkin method for the analysis of wire-to-plate junctions is presented. The formulation avoids additional attachment modes for modelling the junctions. Instead, a specific segmentation technique of wires and plates is proposed, based on the so-called general localised junction model. According to this model, any localised junction can be considered to consist of ends of curvilinear cylinders (wires) and adjacent sides of generalised quadrangles (plates), situated in an electrically small junction domain. The interconnections of the wire ends and plate sides can be omitted from the geometrical model, provided the current expansions for the wires and quadrangles are adopted in such a manner that the total current flowing out from the junction is zero. Numerical results obtained by the proposed method indicate that its efficiency is comparable to that based on the application of attachment modes. In addition, it enables a unified treatment of practically any junction, even those for which attachment modes have not yet been developed, whereas the classical approach requires a specific attachment mode to be defined for individual junction types.