Efficient mid-frequency plane inductance computation

Abstract

In power distribution networks (PDN), the modelling of the mid-frequency inductance for Zpp type plane pairs is very important. It is a key step for the placement of the decoupling capacitors. This paper gives an efficient approach for the calculation of the inductance for different capacitor placements. The PEEC based formulations takes advantage of the opposite currents in the planes. This leads to compute time reductions and memory savings for both the element calculation and the matrix solve step. We also use a formulation where placement of capacitors leads to only small changes in the circuit matrix. Comparisons with other models are made to validate our results.