Efficient modeling of a small circular loop coupling to multi-conductor transmission lines above a PEC ground

A low-frequency coupling model from a small circular loop antenna to a multi-conductor transmission line (TL) system composed of N perfect electric conductor (PEC) wires above a PEC ground is presented. The telegrapher's equations for the model are presented, and a computationally efficient analytical solution for the induced current distributions is formulated for each wire. An example is constructed in FEKO and the induced currents are compared with the proposed method, showing excellent agreement.