Efficient PDN simulation by locally implicit latency insertion method based on rectangular meshes

This paper describes a locally implicit latency insertion method (LILIM), which is suitable for the fast simulation of a power distribution network (PDN) with extremely small apertures modeled by rectangular meshes. First, an extraction method of an equivalent circuit based on the rectangular mesh is explained, and we specify the limitation of the basic LIM in the PDN analysis. Next, in order to overcome the problem, we describe the formulation of LILIM and propose new criterion to partition the circuit into subcircuits. Finally, numerical results are shown to demonstrate that LILIM is applicable and efficient for the fast transient simulation of the PDN.