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Robust Initialization of Differential-Algebraic Equations Using Homotopy

Sielemann, Michael and Casella, Francesco and Otter, Martin and Clauß, Christoph and Eborn, Jonas and Mattsson, Sven Erik and Olsson, Hans (2011) Robust Initialization of Differential-Algebraic Equations Using Homotopy. In: Proceedings of 8th International Modelica Conference. 8th International Modelica Conference, 20.-22. Mrz 2011, Dresden.

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Abstract

The new operator homotopy (...) was introduced in Modelica 3.2 to improve the solution of difficult initialization problems. The background and motivation for this approach is discussed and it is demonstrated how to apply it for mechanical, electrical and fluid systems. Furthermore, it is shown at hand of several examples how an inappropriate formulation might lead to ill-posed problems.

Item URL in elib:https://elib.dlr.de/73049/
Document Type:Conference or Workshop Item (Speech, Paper)
Title:Robust Initialization of Differential-Algebraic Equations Using Homotopy
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Sielemann, MichaelMichael.Sielemann (at) DLR.deUNSPECIFIED
Casella, FrancescoPolitecnico di MilanoUNSPECIFIED
Otter, MartinMartin.Otter (at) DLR.deUNSPECIFIED
Clauß, ChristophFrauenhofer EASUNSPECIFIED
Eborn, JonasModelon ABUNSPECIFIED
Mattsson, Sven ErikDassault Systems ABUNSPECIFIED
Olsson, HansDassault Systems ABUNSPECIFIED
Date:2011
Journal or Publication Title:Proceedings of 8th International Modelica Conference
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:initialization, DAE, homotopy, nonlinear equations
Event Title:8th International Modelica Conference
Event Location:Dresden
Event Type:international Conference
Event Dates:20.-22. Mrz 2011
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering)
Deposited By: Klauer, Monika
Deposited On:15 Dec 2011 17:53
Last Modified:15 Dec 2011 17:53

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