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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
Abstract
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/ | |||||||||
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| Document Type: | Conference or Workshop Item (Speech) | |||||||||
| Title: | Transformation of Differential Algebraic Array Equations to Index One Form | |||||||||
| Authors: |
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| Date: | 2017 | |||||||||
| Journal or Publication Title: | Proceedings of the 12th International Modelica Conference | |||||||||
| Refereed publication: | Yes | |||||||||
| Open Access: | Yes | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | No | |||||||||
| In ISI Web of Science: | No | |||||||||
| DOI : | 10.3384/ecp17132565 | |||||||||
| Publisher: | Linköping University Electronic Press | |||||||||
| Series Name: | Linköping Electronic Conference Proceedings | |||||||||
| Status: | Published | |||||||||
| 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 Technology | |||||||||
| DLR - Research area: | Raumfahrt | |||||||||
| DLR - Program: | R SY - Technik für Raumfahrtsysteme | |||||||||
| DLR - Research theme (Project): | R - Vorhaben Intelligente Mobilität | |||||||||
| 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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