Passivity-preserving balanced truncation for electrical circuits
| dc.contributor.author | Reis, Timo | |
| dc.contributor.author | Stykel, Tatjana | |
| dc.date.accessioned | 2022-05-11T12:11:39Z | |
| dc.date.available | 2022-05-11T12:11:39Z | |
| dc.date.issued | 2008-12-01 | |
| dc.description.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. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16891 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15669 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | balanced truncation | en |
| dc.subject.other | bounded real | en |
| dc.subject.other | electrical circuits | en |
| dc.subject.other | Lur'e equations | en |
| dc.subject.other | model reduction | en |
| dc.subject.other | passivity | en |
| dc.subject.other | positive real | en |
| dc.subject.other | projectors | en |
| dc.subject.other | reciprocity | en |
| dc.subject.other | Riccati equations | en |
| dc.title | Passivity-preserving balanced truncation for electrical circuits | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2008, 32 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |
| tub.subject.msc2000 | 15A24 Matrix equations and identities | en |
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