Parallel-distributed time-domain circuit simulation of power distribution networks with frequency-dependent parameters

Abstract

In this paper, we focus on the verification of the PCB/Package power integrity, which becomes very important for the design of state-of-art high speed digital circuits. The simulation of power distribution networks (PDNs) of the PCB/Package, which can be modeled as a large number of RLC lumped components, is a time-consuming task for using the conventional circuit simulator, such as SPICE. For this problem, we propose a parallel-distributed time-domain circuit simulation algorithm based on LIM. Furthermore, an effective modeling of frequency-dependencies of the PDNs, such as skin effects and dielectric losses, to solve by LIM is proposed.

Fast Circuit Simulation Based on Parallel-Distributed LIM using Cloud Computing System

“…Unlike the conventional SPICE-like simulators which require the time-consuming LU decomposition of large scale coefficient matrices, the LIM algorithm does not need directly the matrix operations. In fact, because of its linearly-increasing characteristic of the calculation amount of the LIM algorithm, LIM-based simulation is much faster than the conventional methods for largescale networks [1][2][3][4][5].…”

“…2. The power/ground plane in a printed circuit board is modeled as the equivalent circuit and its topology is suitable for the LIM algorithm [3,4]. In Fig.…”

“…LIM has been proactively proposed as one of the fast transient simulation methods applicable to large networks [1][2][3][4][5]. The algorithm of LIM is analogous to the relaxation-based one which does not need matrix operations and it seems that this is suitable for the parallel implementation.…”

“…The algorithm of LIM is analogous to the relaxation-based one which does not need matrix operations and it seems that this is suitable for the parallel implementation. We have already given a parallel-distributed leapfrog algorithm [3,4] based on the LIM by using MPI [6].…”

Predictor-corrector latency insertion method for fast transient analysis of ill-constructed circuits

“…The LIM has the advantages that the method is easy to implement and has flexibility to extend the algorithm for multiple applications. In this decade, the LIM algorithm has been improved to solve several practical problems such as ground bounce of a power distribution network (PDN) [4], power supply noises on chips [5], a DC analysis of PDN with frequency-dependent parameters [6], electrostatic discharge (ESD) problems [7], signal/power integrity of CMOS circuits [8], mutual coupling effects among multiconductor transmission lines [9], and a parallel computing for large network analysis [10]. The LIM is about tens to hundreds times faster than SPICE-like simulators, however, the method has two limitations: 1) The method requires a circuit to be composed of certain types of topologies.…”