Analytical calculation of the equivalent inductance for signal vias in parallel planes with arbitrary P/G via distribution

This paper introduces an analytical method for calculating the equivalent inductance associated to signal vias in parallel planes with arbitrary power/ground (P/G) via distribution. The proposal is corroborated by comparing the equivalent inductances predicted by a commercial electromagnetic solver (HFSS) and those predicted by the analytical method. Excellent results are obtained demonstrating the accuracy and validity of the proposal.