Fast static analysis of power grids: Algorithms and implementations

Large VLSI on-chip power delivery networks (PDN) are challenging to analyze due to sheer network complexity. In this paper, three power grid solvers developed in our group: a direct solver using Cholesky decomposition, a GPU-based multigrid preconditioning solver, and a partitioning-based solver using spatial locality, are reviewed. Following the requirements of TAU 2011 Power Grid Simulation Contest, single-threaded versions of these solvers are implemented and their performances are evaluated in terms of runtime, memory, maximum error and average error. The experimental results show that for the published IBM power grid benchmarks, the direct solver has the best overall performance among the three.