Worst-case performance prediction under supply voltage and temperature variation

The power delivery network (PDN) is a major consumer of interconnect resources in deep-submicron designs (i.e., more than 30% of the entire routing area) [18]. Hence, efficient early-stage PDN optimization enables the designers to ensure a desired power-performance envelope. On the other hand as technology scales, gate delays become more sensitive to power supply variation. In addition, emerging 3D designs are more prone to supply voltage and temperature variation due to increased power density. In this paper, we develop accurate inverter cell delay and output slew models under supply voltage and temperature variation. Our models are within 6% of SPICE simulations on average. We use our single-cell delay and output slew models to estimate the delay of a path (i.e., an inverter chain, etc.). We also present a methodology to find the worst-case input configuration (i.e., input slew, output load, cell size, noise magnitude, noise slew, noise offset and temperature) that causes the delay of the given path is maximized. We believe that our models can efficiently drive accurate worst-case performance-driven PDN optimization.