Equivalent Circuit Modeling of Aperiodic On-Silicon PDNs for Fast What-If Analysis

This paper presents a robust equivalent circuit modeling framework tailored for aperiodic on-silicon power distribution networks (PDNs) to fill the gap between extraction accuracy and time/resource-consumption. By leveraging a segmentation approach, the proposed method decomposes complex, non-orthogonal interconnect unit cells into localized RLCG clusters. Unlike conventional method assuming one unit cell for periodic PDNs, this work constructs multiple unit cells with different structures to accommodate aperiodic PDNs. A multi-power rail on-silicon aperiodic PDN structure with dimensions close to 1.98×1.98 mm2 was used to validate the proposed method. The results from the equivalent circuits are in good agreement with those from CST MWS, demonstrating the effectiveness of the method. The proposed method offers a flexible and efficient approach to practical on-silicon PDN design iterations.