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:

Authors	Institution or Email of Authors	Author's ORCID iD	ORCID Put Code
Sielemann, Michael	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Casella, Francesco	Politecnico di Milano	UNSPECIFIED	UNSPECIFIED
Otter, Martin	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Clauß, Christoph	Frauenhofer EAS	UNSPECIFIED	UNSPECIFIED
Eborn, Jonas	Modelon AB	UNSPECIFIED	UNSPECIFIED
Mattsson, Sven Erik	Dassault Systems AB	UNSPECIFIED	UNSPECIFIED
Olsson, Hans	Dassault Systems AB	UNSPECIFIED	UNSPECIFIED

Date:

2011

Journal or Publication Title:

Proceedings of 8th International Modelica Conference

Refereed publication:

Yes

Open Access:

Gold Open Access:

In SCOPUS:

In ISI Web of Science:

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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