Discontinuities handled with events in Assimulo

Emil Fredriksson; Christian Andersson; Johan Åkesson

doi:10.3384/ECP14096827

Discontinuities handled with events in Assimulo

Emil Fredriksson, Christian Andersson, Johan Åkesson

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

215 Downloads (Pure)

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.

Original language	English
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	https://doi.org/10.3384/ECP14096827
Publication status	Published - 2014
Event	10th International Modelica Conference - Lund, Sweden Duration: 2014 Mar 10 → 2014 Mar 12

Publication series

Name
Number	96
ISSN (Print)	1650-3686
ISSN (Electronic)	1650-3740

Conference

Conference	10th International Modelica Conference
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)

Mathematical Sciences
Control Engineering

Free keywords

Assimulo
FMI
Functional Mock-up Interface
FMU
Discontinuities
Events
Root-finding

Access to Document

10.3384/ECP14096827

ecp14096086

http://www.ep.liu.se/ecp/096/086/ecp14096086.pdf

LCCC
Holmqvist, A. (Researcher), Andersson, N. (Researcher), Cervin, A. (Researcher), Mannesson, A. (Researcher), Gattami, A. (Researcher), Ghulchak, A. (Researcher), Papadopoulos, A. V. (Researcher), Rantzer, A. (Researcher), Robertsson, A. (Researcher), Sootla, A. (Researcher), THEORIN, A. (Researcher), Bernhardsson, B. (Researcher), Olofsson, B. (Researcher), Wittenmark, B. (Researcher), Grussler, C. (Researcher), Johnsson, C. (Researcher), MADJIDIAN, D. (Researcher), Johannesson, E. (Researcher), Magnusson, F. (Researcher), Ståhl, F. (Researcher), Como, G. (Researcher), Chasparis, G. (Researcher), Turesson, G. (Researcher), Dressler, I. (Researcher), Åkesson, J. (Researcher), Cho, J. H. (Researcher), Årzén, K.-E. (Researcher), Åström, K. J. (Researcher), Sou, K. C. (Researcher), Mårtensson, K. (Researcher), Berntorp, K. (Researcher), Soltesz, K. (Researcher), Lessard, L. (Researcher), Hast, M. (Researcher), Rönn, M. (Researcher), Ansbjerg Kjær, M. (Researcher), Maggio, M. (Researcher), Kristalny, M. (Researcher), Garpinger, O. (Researcher), From, P. J. (Researcher), Larsson, P.-O. (Researcher), Giselsson, P. (Researcher), Johansson, R. (Researcher), Hägglund, T. (Researcher), Vladimerou, V. (Researcher), Romero Segovia, V. (Researcher), Aurelius, A. (Researcher), Cedersjö, G. (Researcher), Bür, K. (Researcher), Dellkrantz, M. (Researcher), Du, M. (Researcher), Amani, P. (Researcher), Larsson, R. (Researcher), Tärneberg, W. (Research student), Li, Z. (Researcher), Yin, L. (Researcher), Tufvesson, F. (Researcher), Höst, S. (Researcher), Nilsson, B. (Researcher), Stenström, S. (Researcher), Andersson, J. A. (Researcher), Diehl, S. (Researcher), Dürango, J. (Researcher), Ghazaei Ardakani, M. (Researcher), Forsberg, P.-O. (Researcher), Bengtsson, F. (Researcher), Jörntell, H. (Researcher), Arévalo, C. (Researcher), Führer, C. (Researcher), Andersson, C. (Researcher), Mohammadi, F. (Researcher), Ödling, P. (Researcher), Andersson, M. (Researcher), Kihl, M. (Researcher) & Tunestål, P. (Researcher)
2008/07/01 → 2018/06/30
Project: Research

Cite this

@inproceedings{1a1e3f75c70e42299f4fbca90908b618,

title = "Discontinuities handled with events in Assimulo",

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.",

keywords = "Assimulo, FMI, Functional Mock-up Interface, FMU, Discontinuities, Events, Root-finding",

author = "Emil Fredriksson and Christian Andersson and Johan {\AA}kesson",

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); 10th International Modelica Conference ; Conference date: 10-03-2014 Through 12-03-2014",

year = "2014",

doi = "10.3384/ECP14096827",

language = "English",

publisher = "Link{\"o}ping University Electronic Press",

number = "96",

pages = "827--836",

editor = "Hubertus Tummescheit and Karl-Erik {\AA}rz{\'e}n",

booktitle = "Link{\"o}ping Electronic Conference Proceedings",

}

Discontinuities handled with events in Assimulo. / Fredriksson, Emil; Andersson, Christian; Åkesson, Johan.
Linköping Electronic Conference Proceedings. ed. / Hubertus Tummescheit; Karl-Erik Årzén. Linköping University Electronic Press, 2014. p. 827-836.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Discontinuities handled with events in Assimulo

AU - Fredriksson, Emil

AU - Andersson, Christian

AU - Åkesson, Johan

N1 - 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)

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Assimulo

KW - FMI

KW - Functional Mock-up Interface

KW - FMU

KW - Discontinuities

KW - Events

KW - Root-finding

U2 - 10.3384/ECP14096827

DO - 10.3384/ECP14096827

M3 - Paper in conference proceeding

SP - 827

EP - 836

BT - Linköping Electronic Conference Proceedings

A2 - Tummescheit, Hubertus

A2 - Årzén, Karl-Erik

PB - Linköping University Electronic Press

T2 - 10th International Modelica Conference

Y2 - 10 March 2014 through 12 March 2014

ER -

Discontinuities handled with events in Assimulo

Abstract

Publication series

Conference

Bibliographical note

Subject classification (UKÄ)

Free keywords

Access to Document

Fingerprint

Projects

LCCC

Cite this