Modeling DC Power-Bus Structures with Vertical Discontinuities using a Circuit Extraction Approach Based on a Mixed-Potential Integral Equation

Jun Fan, Missouri University of Science and Technology
Hao Shi
Antonio Orlandi
James L. Drewniak, Missouri University of Science and Technology
James L. Knighten

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The DC power-bus is a critical aspect in high-speed digital circuit designs. A circuit extraction approach based on a mixed-potential integral equation is presented herein to model arbitrary multilayer power-bus structures with vertical discontinuities that include decoupling capacitor interconnects. Green's functions in a stratified medium are used and the problem is formulated using a mixed-potential integral equation approach. The final matrix equation is not solved, rather, an equivalent circuit model is extracted from the first-principles formulation. Agreement between modeling and measurements is good, and the utility of the approach is demonstrated for DC power-bus design.