Inductance and resistance computations for three-dimensional multiconductor interconnection structures

A computer-aided analysis system has been established to calculate the equivalent inductance and resistance matrices for three-dimensional multiconductor interconnection structures. Based on partial element equivalent circuit theory, the interconnection structures are first decomposed into many straight segments which are of circular or rectangular cross sections but can be in arbitrary orientation. The resistances and partial inductances between all these segments are calculated using analytical integration and quadrature formulae. They are assembled into the desired equivalent impedance matrix by general network theory. Illustrative examples include the analysis for nonuniformly coupled transmission lines and the calculation for skin-effect impedances of transmission lines and three-dimensional structures. The numerical results are in good agreement with the measurement data and results in the literature