Efficient modeling and analysis of multilayered power distribution network by using conformal mesh and block-type leapfrog scheme

This paper describes an efficient modeling technique based on a conformal mesh and its application to a fast transient analysis using a block-type leapfrog scheme for the simulations of multilayered power distribution networks (PDNs). Compared with conventional rectangular and triangular mesh generations, the conformal mesh approach can provide fewer meshes by using subcells. As a result, the number of the circuit elements constituting an equivalent circuit model becomes much fewer than those of the conventional models. In addition, the topology of the circuit is suitable for the bock latency insertion method (block-LIM), which is based on the explicit time marching procedure in a leapfrog manner. Example simulations of a multilayered PDN with nonorthogonal contours and fine structures show that the proposed conformal modeling combined with the block-LIM is as accurate as and much more efficient than the conventional modeling techniques with a SPICE-like circuit solver.