Accurate Loop Self Inductance Bound for Efficient Inductance Screening

An analytical model for the upper bound of loop self inductance has been developed that is applicable to a wide range of layout geometries commonly encountered in high performance integrated circuits. We demonstrate that the existing analytical models can significantly underestimate the value of loop self inductance producing optimistic results. When compared with field solver results, the developed model shows an average error of 2%. A speedup of more than three orders of magnitude is obtained enabling our model to be fit for applications in inductance screening, inductance aware physical synthesis and prelayout inductance estimation