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Main Title: Model Order Reduction of Coupled Circuit-Device Systems
Author(s): Hinze, Michael
Kunkel, Martin
Steinbrecher, Andreas
Stykel, Tatjana
Type: Research Paper
Abstract: We consider model order reduction of integrated circuits with semiconductor devices. Such circuits are modeled using modified nodal analysis by differential-algebraic equations coupled with the nonlinear drift-diffusion equations. A spatial discretization of these equations with a mixed finite element method yields a high dimensional nonlinear system of differential-algebraic equations. Balancing-related model reduction is used to reduce the dimension of the decoupled linear network equations, while the semidiscretized semiconductor model is reduced using proper orthogonal decomposition. Since the computational complexity of the reduced-order model through the nonlinearity of the drift-diffusion equations still depends on the number of variables of the full model, we apply the discrete empirical interpolation method to further reduce the computational complexity. We provide numerical comparisons which demonstrate the performance of the presented model reduction approach.
Subject(s): modified nodal analysis
balanced truncation
differential-algebraic equations
drift-diffusion equations
electronic circuits
model reduction
proper orthogonal decomposition
Issue Date: 4-May-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A24 Matrix equations and identities
34A09 Implicit equations, differential-algebraic equations
37L65 Special approximation methods
82D37 Semiconductors
94C99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 11
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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