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Main Title: Passivity-preserving balanced truncation for electrical circuits
Author(s): Reis, Timo
Stykel, Tatjana
Type: Research Paper
Abstract: We present a passivity-preserving balanced truncation model reduction method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation significantly. It is shown that the property of reciprocity is also preserved in the reduced-order model. Network topological interpretations of certain circuit effects are given. The presented theory is illustrated by a numerical example.
Subject(s): balanced truncation
bounded real
electrical circuits
Lur'e equations
model reduction
positive real
Riccati equations
Issue Date: 1-Dec-2008
Date Available: 11-May-2022
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
15A24 Matrix equations and identities
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 32
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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