Title :
Multi-Layer Interdigitated Power Distribution Networks
Author :
Jakushokas, Renatas ; Friedman, Eby G.
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Rochester, Rochester, NY, USA
fDate :
5/1/2011 12:00:00 AM
Abstract :
Higher operating frequencies and greater power demands have increased the requirements on the power and ground network. Simultaneously, due to the larger current loads, current densities are increasing, making electromigration an important design issue. In this paper, methods for optimizing a multi-layer interdigitated power and ground network are presented. Based on the resistive and inductive (both self- and mutual) impedance, a closed-form solution for determining the optimal power and ground wire width is described, producing the minimum impedance for a single metal layer. Electromigration is considered, permitting the appropriate number of metal layers to be determined. The tradeoff between the network impedance and current density is investigated. Based on 65-, 45-, and 32-nm CMOS technologies, the optimal width as a function of metal layer is determined for different frequencies, suggesting important trends for interdigitated power and ground networks.
Keywords :
electric impedance; electromigration; flip-chip devices; power integrated circuits; closed-form solution; current density; electromigration; ground wire width; inductive impedance; multi-layer interdigitated power distribution networks; network impedance; optimal power; resistive impedance; single metal layer; CMOS technology; Closed-form solution; Current density; Electromigration; Frequency; Impedance; Optimization methods; Power demand; Power systems; Wire; Current density; interdigitated structure; minimal impedance; power and ground (P/G) networks; width optimization;
Journal_Title :
Very Large Scale Integration (VLSI) Systems, IEEE Transactions on
DOI :
10.1109/TVLSI.2010.2043453