Reduction of circuit complexity by elimination of internal nodes in the circuit modeling of planar interconnection structures

The authors have developed a novel technique for the automatic derivation of equivalent RLC-networks for general microstrip interconnection discontinuities. An essential step in the technique is the reduction of the complexity of the complex lumped circuit model obtained by applying the method of moments to the considered microstrip discontinuity. In this paper, we present the concepts, algorithms and mathematical manipulations of this reduction scheme. The mathematics are based on the tensor analysis of networks and on network diakoptics, both developed by Kron.