Modeling and analysis of regular symmetrically structured power/ground distribution networks

In this paper we propose a novel and efficient methodology for modeling and analysis of regular symmetrically-structured power/ground distribution networks. The modeling of inductive effects is simplified by a folding technique which exploits the symmetry in the power/ground distribution. Furthermore, employment of susceptance (inverse of inductance) models enables further simplification of the analysis, and is also shown to preserve the symmetric positive definiteness of the circuit equations. Experimental results demonstrate that our approach can provide up to 8× memory savings and up to 10× speedup over the already efficient simulation based on the original sparse susceptance matrix without loss of accuracy. Importantly, this work demonstrates that by employing limited regularity, one can create excellent power/ground distribution designs that are dramatically simpler to analyze, and therefore amenable to more powerful global design optimization.