Nano Science and Technology Institute
MSM 2000
MSM 2000
Technical Proceedings of the 2000 International Conference on Modeling and Simulation of Microsystems
Chapter 11: Numerics, Algorithms

A Quadratic Method for Nonlinear Model Order Reduction

Authors:Y. Chen and J.K. White
Affilation:Massachusetts Institute of Technology, US
Pages:477 - 480
Keywords:model-order reduction
Abstract:In order to simulate and optimize effciently systems which include micromachined devices, designers need dynamically accurate macromodels for the those devices. Although it is possible to develop such macromodels by hand, it would be vastly more effcient if it were possible to automatically derive such macromodels directly from physical coupled-domain simulation. Although such automatic techniques exist if the problem is linear, most micromachined devices are at least mildly nonlinear and new techniques must be developed. In this paper we present a quadratic reduction method which makes use of the Krylov subspace generated from linearized analysis. The result is a reduced-order model with a quadratic nonlinearity. Results on using the method for a nonlinear resistor network show that the nonlinear approach ismuch more accurate than using a linearized approach alone.
A Quadratic Method for Nonlinear Model Order ReductionView PDF of paper
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