Nonlinear locally implicit LIM for the simulation of PDN modeled by triangular meshes

The locally implicit latency insertion method has been proposed as the one of the fast circuit simulation techniques of an arbitrary shaped power distribution network (PDN) modeled by triangular meshes. This method employs a locally implicit scheme instead of the globally explicit leapfrog scheme used in original LIM. However, there is no application of the LILIM to the nonlinear circuit simulation. In this paper, we describe the simulation of an equivalent circuit containing nonlinear circuit. First, the modeling method by using the triangular meshes and the formulation of the LILIM is reviewed. Next, we describe the simulation technique for nonlinear circuits. Finally, some numerical results are shown, and it is confirmed that the proposed technique is useful and efficient for the simulation of the meshed PDN with nonlinear devices.