Article | Proceedings of the 5th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools; April 19; University of Nottingham; Nottingham; UK | Initialization of Equation-Based Hybrid Models within OpenModelica
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Title:
Initialization of Equation-Based Hybrid Models within OpenModelica
Author:
Lennart A. Ochel: Department Mathematics and Engineering, University of Applied Sciences Bielefeld, Germany Bernhard Bachmann: Department Mathematics and Engineering, University of Applied Sciences Bielefeld, Germany
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Full text (pdf)
Year:
2013
Conference:
Proceedings of the 5th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools; April 19; University of Nottingham; Nottingham; UK
Issue:
084
Article no.:
011
Pages:
97-103
No. of pages:
7
Publication type:
Abstract and Fulltext
Published:
2013-03-27
ISBN:
978-91-7519-621-3 (print)
978-91-7519-617-6 (online)
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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Modelica is a multi-domain object-oriented modeling language designed for time-dependent systems. The time-dependent part is usually described with ‚Äúordinary differential equations‚ÄĚ. In addition to that; it is possible to express algebraic and difference equations. As a result a Modelica model will be merged to a hybrid differential algebraic equation system. The initialization process is prior to each simulation and must therefore be solved before any simulation can be started. Modelica provides high-level features to describe the initialization problem. This leads often into various problems. The initialization is usually a system-level issue. Therefore; high knowledge about the system is necessary. In OpenModelica two major methods are implemented to solve the initialization problem. Both methods are totally different and are used for different initialization issues. Both methods will be discussed within this paper.

Keywords: initialization; hybrid models; homotopy; start value; OpenModelica

Proceedings of the 5th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools; April 19; University of Nottingham; Nottingham; UK

Author:
Lennart A. Ochel, Bernhard Bachmann
Title:
Initialization of Equation-Based Hybrid Models within OpenModelica
References:

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[3] Francesco Casella; et.al.; Overdetermined Steady-State Initialization Problems in Object-Oriented Fluid System Models. Modelica’2008 Proceedings - Volume 1; pp. 311; 2008.


[4] Jens Frenkel; et.al.; Survey of appropriate matching algorithms for large scale systems of differential algebraic equations. Modelica’2012 Proceedings; 2012.


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[6] Hilding Elmqvist and Martin Otter; Methods for Tearing Systems of Equations in Object-Oriented Modeling. Proceedings of the Conference on Modeling and Simulation; eds. Guasch and Huber; pp. 326-332.; 1994.


[7] Emanuele Carpanzano; Order reduction of General Nonlinear DAE Systems by Automatic Tearing; Mathematical and Computer Modeling of Dynamical Systems. Vol. 6 No. 2; pp. 145-168; 2000.

Proceedings of the 5th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools; April 19; University of Nottingham; Nottingham; UK

Author:
Lennart A. Ochel, Bernhard Bachmann
Title:
Initialization of Equation-Based Hybrid Models within OpenModelica
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