Fast Analysis of a Large-Scale Inductive Interconnect by Block-Structure-Preserved Macromodeling

Hao Yu, Chunta Chu, Yiyu Shi, David Smart, Lei He, Sheldon X.-D. Tan
2010 IEEE Transactions on Very Large Scale Integration (vlsi) Systems  
To efficiently analyze the large-scale interconnect dominant circuits with inductive couplings (mutual inductances), this paper introduces a new state-matrix, called VNA, to stamp inverse-inductance elements by replacing inductive branchcurrent with flux. The state matrix under VNA is diagonaldominant, sparse and passive. To further explore the sparsity and hierarchy at block-level, a new matrix-stretching method is introduced to reorder coupled fluxes into a decoupled state matrix with a
more » ... ed-block-diagonal (BBD) structure. A corresponding block-structure-preserved model order reduction, called BVOR, is developed to preserve the sparsity and hierarchy of the BBD matrix at block-level. This enables us to build and simulate the macromodel efficiently within a SPICE-liked circuit simulator. Experiments show that our method achieves up to 7X faster modeling building time, up to 33X faster simulation time, and as much as 67X smaller waveform error compared to SAPOR (a second-order reduction based on NA) and PACT (a first-order 2 × 2 structured reduction based on MNA).
doi:10.1109/tvlsi.2009.2024343 fatcat:aiftyrzjsvb3tiyegsim5qngre