Model Reduction for a Class of Nonlinear Electrical Circuits by Reduction of Linear Subcircuits

Please always quote using this URN: urn:nbn:de:0296-matheon-6953
  • We analyze a model reduction approach for a class of electrical circuits containing nonlinear resistance. In our approach the linear subcircuits are extracted and replaced with linear passive reduced-order models. The resulting nonlinear reduced-order model preserves admissibility and passivity. Moreover, we derive a-priori bounds for the error between the input-output map of the original circuit equations and that of our reduced-order model. These bounds are valid for all inputs. Since only linear subcircuits are reduced, our approach is effective when the number of nonlinear resistances is relatively small. The performance of our approach is illustrated numerically.

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Metadaten
Author:Timo Reis, Matthias Heinkenschloss
URN:urn:nbn:de:0296-matheon-6953
Referee:Volker Mehrmann
Language:English
Date of first Publication:2010/05/18
Institute:Technische Universit├Ąt Berlin
MSC-Classification:15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A22 Matrix pencils [See also 47A56]
15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A24 Matrix equations and identities
78-XX OPTICS, ELECTROMAGNETIC THEORY (For quantum optics, see 81V80) / 78Mxx Basic methods / 78M34 Model reduction
94-XX INFORMATION AND COMMUNICATION, CIRCUITS / 94Cxx Circuits, networks / 94C05 Analytic circuit theory
94-XX INFORMATION AND COMMUNICATION, CIRCUITS / 94Cxx Circuits, networks / 94C15 Applications of graph theory [See also 05Cxx, 68R10]
Preprint Number:702

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