An algorithm for computer modeling of coupled multiconductor transmission line networks

A technique for computer modeling and analysis of coupled transmission line networks is presented. The method is based on representing the coupled transmission line network as a coupled tree data structure. By using recursive tree transversal techniques, the network is solved in two passes. In the first pass, the impedances at all nodes are computed and stored in the data structure for that node. For cases where the coupled lines are connected to uncoupled lines, the impedance looking into the uncoupled line subtree must also be computed and stored. In the second pass, starting at the source the voltages and currents are computed by transversing the tree and using the impedances calculated in the first pass. The technique was applied to a particular coupled system, and the effects of coupling calculated using the technique agreed well with the results one would expect from the network. The technique is especially useful in the analysis of coupling in multiconductor transmission line networks with many branches and mixed transmission line characteristics