Analytical models for sizing of VLSI power/ground nets under electromigration, inductive and resistive constraints

The authors investigate the factors contributing to the sizing of the width of the power and ground (P/G) networks taking into account the constraints due to electromigration, inductance, and resistance. It is assumed that the lengths for all paths and corresponding currents have already been computed. Analytical models are proposed for these constraints. The models can be applied directly to the power/ground structure. After power and ground routing, the length of each power path is known. The initial width of each path depends on the power/ground structure. The analytical models are applied at the last step to resize the lines