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Transformation of Differential Algebraic Array Equations to Index One Form

Otter, Martin and Elmqvist, Hilding (2017) Transformation of Differential Algebraic Array Equations to Index One Form. In: Proceedings of the 12th International Modelica Conference. Linköping University Electronic Press. 12th International Modelica Conference, 15.-17. Mai 2017, Prag, Tschechische Republik. doi: 10.3384/ecp17132565.

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Official URL: https://doi.org/10.3384/ecp17132565


Several new algorithms are proposed that in effect transform DAEs (Differential Algebraic Equations) to a special index one form that can be simulated with standard DAE integrators. The transformation to this form is performed without solving linear and/or nonlinear equation systems, the sparsity of the equations is kept, and array equations remain array equations or differentiated versions of them. Furthermore, certain DAEs can be handled where structural index reduction methods fail. It is expected that these new algorithms will help to treat large Modelica models of any index in a better way as it is currently possible. The algorithms have been evaluated and tested in the experimental simulation environment Modia that is implemented with the Julia programming language.

Item URL in elib:https://elib.dlr.de/117431/
Document Type:Conference or Workshop Item (Speech)
Title:Transformation of Differential Algebraic Array Equations to Index One Form
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Otter, MartinMartin.Otter (at) dlr.deUNSPECIFIED
Elmqvist, HildingMogram ABUNSPECIFIED
Journal or Publication Title:Proceedings of the 12th International Modelica Conference
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
DOI :10.3384/ecp17132565
Publisher:Linköping University Electronic Press
Series Name:Linköping Electronic Conference Proceedings
Keywords:Modelica Modia Julia DAE sparse DAE large DAE Gear/Gupta/Leimkuhler algorithm Pantelides algorithm Dummy Derivative Method
Event Title:12th International Modelica Conference
Event Location:Prag, Tschechische Republik
Event Type:international Conference
Event Dates:15.-17. Mai 2017
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben Intelligente Mobilität (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Leitungsbereich SR
Deposited By: Klauer, Monika
Deposited On:18 Dec 2017 10:50
Last Modified:31 Jul 2019 20:14

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