Regularization and Numerical Simulation of Dynamical Systems Modeled with Modelica

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dc.contributor.authorAltmeyer, Randolf
dc.contributor.authorSteinbrecher, Andreas
dc.date.accessioned2021-12-17T10:11:00Z
dc.date.available2021-12-17T10:11:00Z
dc.date.issued2013-09-30
dc.description.abstractQuasi-linear differential-algebraic equations (DAEs) are essential tools for modeling dynamical processes, e.g. for mechanical systems, electrical circuits or chemical reactions. These models are in general of higher index and contain so called hidden constraints which lead to instabilities and order reductions during numerical integration of the model equations. In this article we consider dynamical systems modeled with quasi-linear DAEs of higher index using Modelica. We investigate a regularization of model equations in the Modelica framework in view of an efficient and robust numerical simulation. We will present an approach for numerical integration of quasi-linear DAEs which is based on overdetermined DAEs obtained from dynamical models modeled with Modelica.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15766
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14539
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdynamical systemsen
dc.subject.otherdifferential-algebraic equationsen
dc.subject.otherregularizationen
dc.subject.othernumerical integrationen
dc.subject.otherModelicaen
dc.subject.otherQUALIDAESen
dc.subject.otherMO2FORen
dc.titleRegularization and Numerical Simulation of Dynamical Systems Modeled with Modelicaen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2013, 29en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065L80 Methods for differential-algebraic equationsen
tub.subject.msc200034A09 Implicit equations, differential-algebraic equationsen
tub.subject.msc200065K05 Mathematical programming methodsen

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