Article | Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany | Robust Initialization of Differential-Algebraic Equations Using Homotopy Linköping University Electronic Press Conference Proceedings
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Title:
Robust Initialization of Differential-Algebraic Equations Using Homotopy
Author:
Michael Sielemann: DLR Institute of Robotics and Mechatronics, Germany Francesco Casella: Dipartimento di Elettronica e Informazione, Politecnico di Milano, Italy Martin Otter: DLR Institute of Robotics and Mechatronics, Germany Christop Clauß: Fraunhofer EAS, Dresden, Germany Jonas Eborn: Modelon AB, Lund, Sweden Sven Erik Matsson: Dassault Systèmes AB, Lund Sweden Hans Olsson: Dassault Systèmes AB, Lund Sweden
DOI:
10.3384/ecp1106375
Download:
Full text (pdf)
Year:
2011
Conference:
Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany
Issue:
063
Article no.:
010
Pages:
75-85
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2011-06-30
ISBN:
978-91-7393-096-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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The new operator homotopy(..) was introduced in Modelica 3.2 to improve the solution of difficult ini-tialization 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.

Keywords: Initialization; DAE; homotopy; nonlinear equations

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Michael Sielemann, Francesco Casella, Martin Otter, Christop Clauß, Jonas Eborn, Sven Erik Matsson, Hans Olsson
Title:
Robust Initialization of Differential-Algebraic Equations Using Homotopy
DOI:
http://dx.doi.org/10.3384/ecp1106375
References:

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Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Michael Sielemann, Francesco Casella, Martin Otter, Christop Clauß, Jonas Eborn, Sven Erik Matsson, Hans Olsson
Title:
Robust Initialization of Differential-Algebraic Equations Using Homotopy
DOI:
https://doi.org10.3384/ecp1106375
Note: the following are taken directly from CrossRef
Citations:
  • Pengfei Li, Yaoyu Li, John E. Seem, Hongtao Qiao, Xiao L & Jon Winkler (2014). Recent advances in dynamic modeling of HVAC equipment. Part 2: Modelica-based modeling. HVAC&R Research, 20(1): 150. DOI: 10.1080/10789669.2013.836876


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