Abstract
Often integrating ordinary differential equations or differential algebraic equations (DAE) do not constitute the problem alone. A common complement is finding the root of an algebraic function (an event function) that depends on the states of the problem. This formulation of a model enables the possibility of including discontinuities, an important part of the Functional Mock-up Interface standard which allows hybrid models of differential algebraic equations. The problem of root-finding during integration is however difficult. Both in a theoretical aspect and as a software problem.
An implementation of software for root-finding is done in Assimulo, a Python/Cython wrapper for integrators. The implementation takes the Functional Mock-up Interface standard into consideration. The implementation is made usable for a wide variety of integration algorithms and is also verified and benchmarked with advanced industrial models, showing good indications of being robust and scaling well for large systems.
An implementation of software for root-finding is done in Assimulo, a Python/Cython wrapper for integrators. The implementation takes the Functional Mock-up Interface standard into consideration. The implementation is made usable for a wide variety of integration algorithms and is also verified and benchmarked with advanced industrial models, showing good indications of being robust and scaling well for large systems.
Original language | English |
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Title of host publication | Linköping Electronic Conference Proceedings |
Editors | Hubertus Tummescheit, Karl-Erik Årzén |
Publisher | Linköping University Electronic Press |
Pages | 827-836 |
Number of pages | 10 |
DOIs | |
Publication status | Published - 2014 |
Event | 10th International Modelica Conference - Lund, Sweden Duration: 2014 Mar 10 → 2014 Mar 12 |
Publication series
Name | |
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Number | 96 |
ISSN (Print) | 1650-3686 |
ISSN (Electronic) | 1650-3740 |
Conference
Conference | 10th International Modelica Conference |
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Country/Territory | Sweden |
City | Lund |
Period | 2014/03/10 → 2014/03/12 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004), Department of Automatic Control (011017000)
Subject classification (UKÄ)
- Mathematics
- Control Engineering
Free keywords
- Assimulo
- FMI
- Functional Mock-up Interface
- FMU
- Discontinuities
- Events
- Root-finding