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Dynamic Optimization in JModelica.org

Magnusson, Fredrik LU and Åkesson, Johan (2015) In Processes 3(2). p.471-496
Abstract
We present the open-source software framework in JModelica.org for numerically solving large-scale dynamic optimization problems. The framework solves problems whose dynamic systems are described in Modelica, an open modeling language supported by several different tools. The framework implements a numerical method based on direct local collocation, of which the details are presented. The implementation uses the open-source third-party software package CasADi to construct the nonlinear program in order to efficiently obtain derivative information using algorithmic differentiation. The framework is interfaced with the numerical optimizers IPOPT and WORHP for finding local optima of the optimization problem after discretization. We provide... (More)
We present the open-source software framework in JModelica.org for numerically solving large-scale dynamic optimization problems. The framework solves problems whose dynamic systems are described in Modelica, an open modeling language supported by several different tools. The framework implements a numerical method based on direct local collocation, of which the details are presented. The implementation uses the open-source third-party software package CasADi to construct the nonlinear program in order to efficiently obtain derivative information using algorithmic differentiation. The framework is interfaced with the numerical optimizers IPOPT and WORHP for finding local optima of the optimization problem after discretization. We provide an illustrative example based on the Van der Pol oscillator of how the framework is used. We also present results for an industrially relevant problem regarding optimal control of a distillation column. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Processes
volume
3
issue
2
pages
471 - 496
publisher
MDPI AG
ISSN
2227-9717
DOI
10.3390/pr3020471
project
LCCC
collocation
language
English
LU publication?
yes
id
561dd097-b14b-403d-97dc-b28852dd545b (old id 5470734)
date added to LUP
2015-06-29 09:56:50
date last changed
2016-08-16 11:27:56
@article{561dd097-b14b-403d-97dc-b28852dd545b,
  abstract     = {We present the open-source software framework in JModelica.org for numerically solving large-scale dynamic optimization problems. The framework solves problems whose dynamic systems are described in Modelica, an open modeling language supported by several different tools. The framework implements a numerical method based on direct local collocation, of which the details are presented. The implementation uses the open-source third-party software package CasADi to construct the nonlinear program in order to efficiently obtain derivative information using algorithmic differentiation. The framework is interfaced with the numerical optimizers IPOPT and WORHP for finding local optima of the optimization problem after discretization. We provide an illustrative example based on the Van der Pol oscillator of how the framework is used. We also present results for an industrially relevant problem regarding optimal control of a distillation column.},
  author       = {Magnusson, Fredrik and Åkesson, Johan},
  issn         = {2227-9717},
  language     = {eng},
  number       = {2},
  pages        = {471--496},
  publisher    = {MDPI AG},
  series       = {Processes},
  title        = {Dynamic Optimization in JModelica.org},
  url          = {http://dx.doi.org/10.3390/pr3020471},
  volume       = {3},
  year         = {2015},
}