Title
Model Reduction and Simulation of Nonlinear Circuits via Tensor Decomposition
Abstract
Model order reduction of nonlinear circuits (especially highly nonlinear circuits), has always been a theoretically and numerically challenging task. In this paper we utilize tensors (namely, a higher order generalization of matrices) to develop a tensor-based nonlinear model order reduction (TNMOR) algorithm for the efficient simulation of nonlinear circuits. Unlike existing nonlinear model order reduction methods, in TNMOR high-order nonlinearities are captured using tensors, followed by decomposition and reduction to a compact tensor-based reducedorder model. Therefore, TNMOR completely avoids the dense reduced-order system matrices, which in turn allows faster simulation and a smaller memory requirement if relatively lowrank approximations of these tensors exist. Numerical experiments on transient and periodic steady-state analyses confirm the superior accuracy and efficiency of TNMOR, particularly in highly nonlinear scenarios.
Year
DOI
Venue
2015
10.1109/TCAD.2015.2409272
IEEE Trans. on CAD of Integrated Circuits and Systems
Keywords
DocType
Volume
tensor,nonlinear model order reduction,reducedorder model
Journal
PP
Issue
ISSN
Citations 
99
0278-0070
5
PageRank 
References 
Authors
0.46
9
3
Name
Order
Citations
PageRank
Liu, H.150.46
Daniel, L.250.46
Ngai Wong332158.74