Article | Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017 | Transformation of Differential Algebraic Array Equations to Index One Form
Göm menyn

Title:
Transformation of Differential Algebraic Array Equations to Index One Form
Author:
Martin Otter: Institute of System Dynamics and Control, DLR, Germany Hilding Elmqvist: Mogram AB, Sweden
DOI:
10.3384/ecp17132565
Download:
Full text (pdf)
Year:
2017
Conference:
Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017
Issue:
132
Article no.:
064
Pages:
565-579
No. of pages:
15
Publication type:
Abstract and Fulltext
Published:
2017-07-04
ISBN:
978-91-7685-575-1
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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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.

Keywords: Modelica Modia Julia DAE sparse DAE large DAE Gear/Gupta/Leimkuhler algorithm Pantelides algorithm Dummy Derivative Method

Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Author:
Martin Otter, Hilding Elmqvist
Title:
Transformation of Differential Algebraic Array Equations to Index One Form
DOI:
http://dx.doi.org/10.3384/ecp17132565
References:
No references available

Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Author:
Martin Otter, Hilding Elmqvist
Title:
Transformation of Differential Algebraic Array Equations to Index One Form
DOI:
http://dx.doi.org/10.3384/ecp17132565
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Last updated: 2017-02-21