Article | Proceedings of the 11th International Modelica Conference, Versailles, France, September 21-23, 2015 | Multi-Mode DAE Systems with Varying Index
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Title:
Multi-Mode DAE Systems with Varying Index
Author:
Sven Erik Mattsson: Dassault Systèmes, Sweden Martin Otter: Institute of System Dynamics and Control, DLR, Germany Hilding Elmqvist: Dassault Systèmes, Sweden
DOI:
10.3384/ecp1511889
Download:
Full text (pdf)
Year:
2015
Conference:
Proceedings of the 11th International Modelica Conference, Versailles, France, September 21-23, 2015
Issue:
118
Article no.:
009
Pages:
89-98
No. of pages:
10
Publication type:
Abstract and Fulltext
Published:
2015-09-18
ISBN:
978-91-7685-955-1
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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This paper discusses an approach how to handle multi-mode DAE systems described by continuous-time state machines where mode-dependent state constraints are present. The goal is to perform static symbolic analysis and to generate efficient run-time code. This technique allows to extend the class of multi-mode systems that can be handled by Modelica tools.

Keywords: Multi-mode; DAE; varying index; continuous-time state machine; variable structure system

Proceedings of the 11th International Modelica Conference, Versailles, France, September 21-23, 2015

Author:
Sven Erik Mattsson, Martin Otter, Hilding Elmqvist
Title:
Multi-Mode DAE Systems with Varying Index
DOI:
http://dx.doi.org/10.3384/ecp1511889
References:

Albert Benveniste, Timothy Bourke, Beno√ģt Caillaud, Marc Pouzet (2014): On the index of multi-mode DAE Systems (also called Hybrid DAE Systems). [Research Report] RR-8630, Inria; ENS. <hal-01084069>. Download: https://hal.inria.fr/hal-01084069/document


Dassault Systèmes (2015): Dymola 2016. http://www.Dymola.com


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Elmqvist H., Mattsson S.E., Otter M. (2014): Modelica extensions for Multi-Mode DAE Systems. Proceedings of the 10th International Modelica Conference, March 10-12, Lund, Sweden, pp. 183-193. Download: http://www.ep.liu.se/ecp/096/019/ecp14096019.pdf


Höger C. (2014): Dynamic Structural Analysis for DAEs. Proceedings of the 2014 SCS Summer Simulation Multiconference. Download: http://dl.acm.org/ft_gateway.cfm?id=2685629&ftid=1511015&dwn=1&CFID=532067289&CFTOKEN=59766485


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Mattsson S.E., Olsson H., Elmqvist H. (2001): Methods and Algorithms for Varying Structure Hybrid DAE Simulation. EC IST Project Realsim. Contract number: IST-1999-11979, Internal Report 2.2, Dynasim, Lund, Sweden.


Modelica Association (2014): Modelica, A Unified Object-Oriented Language for Systems Modeling. Language Specification, Version 3.3, Revision 1. June 11. Download: https://www.modelica.org/documents/ModelicaSpec33Revision1.pdf


Pantelides C. (1988): The consistent initialization of differential-algebraic systems. SIAM Journal of Scientific and Statistical Computing, 9(2), pp. 213‚Äď231.


Pepper P., Mehlhase A., H√∂ger C., Scholz L. (2011): A Compositional Semantics for Modelica-style Variablestructure Modeling. 4th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools. ETH Z√ľrich, Switzerland. Download: http://www.ep.liu.se/ecp/056/006/ecp1105606.pdf


Pryce J.D. (2001): A simple structural analysis method for DAEs. BIT Numerical Mathematics, Vol. 41, No. 2, pp. 364‚Äď394.


Zimmer D. (2010): Equation-Based Modeling of Variable-Structure Systems. Dissertation, ETH Z√ľrich, No. 18924. Download:
http://www.inf.ethz.ch/personal/fcellier/PhD/zimmer_phd.pdf

Proceedings of the 11th International Modelica Conference, Versailles, France, September 21-23, 2015

Author:
Sven Erik Mattsson, Martin Otter, Hilding Elmqvist
Title:
Multi-Mode DAE Systems with Varying Index
DOI:
http://dx.doi.org/10.3384/ecp1511889
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