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Some contributions to the model order reduction of large scale non‐linear electric circuits
Author(s) -
Amorocho D. Juan Pablo,
Faßbender Heike
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010312
Subject(s) - reduction (mathematics) , model order reduction , electronic circuit , order (exchange) , scale (ratio) , nonlinear system , computer science , mathematics , algorithm , electrical engineering , engineering , physics , economics , geometry , projection (relational algebra) , finance , quantum mechanics
Model order Reduction (MOR) has become an ubiquitous technique in the simulation of large‐scale dynamical systems (i.e. 10 4 and more equations). One technique for non‐linear MOR is the trajectory piecewise‐linear approach (TPWL) [1]. TPWL approximates a non‐linear differential system by a weighted sum of linear systems which have a significantly reduced number of equations. One open question is which weight representations provide physical meaning of the weighted sum [2]. In this article we propose two representations. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)