System-Level Power Delivery Network Analysis and Optimization for Monolithic 3-D ICs

As 2-D scaling reaches its limit, monolithic 3-D (M3D) IC is a leading contender for continuing equivalent scaling. Although M3D shows power and performance benefits over 2-D designs, designing a power delivery network (PDN) for M3D is challenging. In this paper, for the first time, we present a system-level PDN model of M3D designs focusing on both resistive (IR) and inductive (
$\text{L}di/dt$
) components of power supply integrity. In addition, we present frequency- and time-domain analyses of M3D PDNs. We show that the additional resistance in M3D PDNs, while being worse for resistive drops, improves resiliency against ac current noise showing 35.9% peak impedance reduction compared to 2-D PDNs during worst case resonant oscillations. Then, we present methodologies to improve power supply integrity of M3D designs based on the observations. Our optimization methodologies offer up to 32.6% and 17.0% static and dynamic voltage drop reduction compared to the baseline M3D designs, respectively, showing 9.0% lower dynamic voltage drop compared to the 2-D counterparts.