Discontinuities handled with events in Assimulo
(2014) 10th International Modelica Conference p.827-836- 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... (More) - 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4388523
- author
- Fredriksson, Emil ; Andersson, Christian LU and Åkesson, Johan LU
- organization
- publishing date
- 2014
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Assimulo, FMI, Functional Mock-up Interface, FMU, Discontinuities, Events, Root-finding
- host publication
- Linköping Electronic Conference Proceedings
- editor
- Tummescheit, Hubertus and Årzén, Karl-Erik
- issue
- 96
- pages
- 10 pages
- publisher
- Linköping University Electronic Press
- conference name
- 10th International Modelica Conference
- conference location
- Lund, Sweden
- conference dates
- 2014-03-10 - 2014-03-12
- ISSN
- 1650-3740
- 1650-3686
- DOI
- 10.3384/ECP14096827
- language
- English
- LU publication?
- yes
- additional info
- 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)
- id
- 1a1e3f75-c70e-4229-9f4f-bca90908b618 (old id 4388523)
- alternative location
- http://www.ep.liu.se/ecp/096/086/ecp14096086.pdf
- date added to LUP
- 2016-04-01 10:03:02
- date last changed
- 2018-11-21 19:40:19
@inproceedings{1a1e3f75-c70e-4229-9f4f-bca90908b618, 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.<br/><br> <br/><br> 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.}}, author = {{Fredriksson, Emil and Andersson, Christian and Åkesson, Johan}}, booktitle = {{Linköping Electronic Conference Proceedings}}, editor = {{Tummescheit, Hubertus and Årzén, Karl-Erik}}, issn = {{1650-3740}}, keywords = {{Assimulo; FMI; Functional Mock-up Interface; FMU; Discontinuities; Events; Root-finding}}, language = {{eng}}, number = {{96}}, pages = {{827--836}}, publisher = {{Linköping University Electronic Press}}, title = {{Discontinuities handled with events in Assimulo}}, url = {{https://lup.lub.lu.se/search/files/1513185/4388524.pdf}}, doi = {{10.3384/ECP14096827}}, year = {{2014}}, }