Analysis of Electromagnetic Coupling in Branched Cables

A model for the prediction of electromagnetic coupling in branched cable bundles is described. The model is based on the admittance matrix representation of the coupled wires in each bundle segment, and a formal algorithm, suitable for implementation on a digital computer, is developed. The model allows for a variety of representations of the coupling within the bundle segments - multiconductor transmission line theory, lumped parameter models, experimental characterization. A connection matrix is developed which describes the wire interconnections at the bundle branch points and the bundle terminals. An important property of this connection matrix allows a simple construction of the resulting equations which are to be solved for the wire junction and terminal voltages. The total number of simultaneous equations to be solved is equal to the total number of wire junction and terminal nodes.