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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.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:Robust Initialization of Differential-Algebraic Equations Using Homotopy
Authors:
AuthorsInstitution or Email of Authors
Sielemann, MichaelMichael.Sielemann@DLR.de
Casella, FrancescoPolitecnico di Milano
Otter, MartinMartin.Otter@DLR.de
Clauß, ChristophFrauenhofer EAS
Eborn, JonasModelon AB
Mattsson, Sven ErikDassault Systems AB
Olsson, HansDassault Systems AB
Date:2011
Journal or Publication Title:Proceedings of 8th International Modelica Conference
Refereed publication:Yes
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
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Monika Klauer
Deposited On:15 Dec 2011 17:53
Last Modified:15 Dec 2011 17:53

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