Article | Proceedings of the 2nd Japanese Modelica Conference, Tokyo, Japan, May 17-18, 2018 | Simulation of high-index DAEs and ODEs with constraints in FMI Linköping University Electronic Press Conference Proceedings
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Title:
Simulation of high-index DAEs and ODEs with constraints in FMI
Author:
Masoud Najafi: Altair Engineering, France
DOI:
10.3384/ecp18148213
Download:
Full text (pdf)
Year:
2018
Conference:
Proceedings of the 2nd Japanese Modelica Conference, Tokyo, Japan, May 17-18, 2018
Issue:
148
Article no.:
030
Pages:
213-222
No. of pages:
9
Publication type:
Abstract and Fulltext
Published:
2019-02-21
ISBN:
978-91-7685-266-8
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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In the current FMI standard the dynamical behavior of a model can only be defined as a system of Ordinary Differential Equations (ODE). The dynamics of many physical systems, such as the equations of motion of constrained mechanical multibody systems, are expressed by high-index Differential Algebraic Equations (DAE) so they cannot be simulated directly using standard ODE or DAE solvers. These systems can be converted through index-reduction into ODE or index 1 DAE systems. However FMUs based solely on these latter systems suffer from drift in hidden constraints on the states. As a consequence, the simulation may results in physically meaningless solutions. In this paper, we propose an extension of the FMI standard to handle DAE Systems of index 1 or higher and ODE with constraints. This FMI extension requires only few additions to the FMI specification, all of which can be omitted for FMUs that represent ODE systems or FMUs that do not support DAE handling. The extension has been implemented in solid-Thinking ActivateTM and two examples that illustrate the ease of implementation and the effectiveness of the method will be discussed.

Keywords: Simcenter System Synthesis, Simcenter Amesim, FMI, Architecture-driven simulation, heterogeneous simulation

Proceedings of the 2nd Japanese Modelica Conference, Tokyo, Japan, May 17-18, 2018

Author:
Masoud Najafi
Title:
Simulation of high-index DAEs and ODEs with constraints in FMI
DOI:
http://dx.doi.org/10.3384/ecp18148213
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Proceedings of the 2nd Japanese Modelica Conference, Tokyo, Japan, May 17-18, 2018

Author:
Masoud Najafi
Title:
Simulation of high-index DAEs and ODEs with constraints in FMI
DOI:
https://doi.org10.3384/ecp18148213
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