Fast Simulation of Fluid Models with Colored Jacobians

Willi Braun; Stephanie Gallardo Yances; Kilian Link; Bernhard Bachmann

Title:

Author:

Willi Braun: University of Applied Sciences Bielefeld, Bielefeld, Germany Stephanie Gallardo Yances: Siemens AG, Energy Sector, Erlangen, Germany Kilian Link: Siemens AG, Energy Sector, Erlangen, Germany Bernhard Bachmann: University of Applied Sciences Bielefeld, Bielefeld, Germany

DOI:

10.3384/ecp12076247

Download:

Full text (pdf)

Year:

2012

Conference:

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Issue:

076

Article no.:

024

Pages:

247-252

No. of pages:

Publication type:

Abstract and Fulltext

Published:

2012-11-19

ISBN:

978-91-7519-826-2

Series:

Linköping Electronic Conference Proceedings

ISSN (print):

1650-3686

ISSN (online):

1650-3740

Publisher:

Linköping University Electronic Press; Linköpings universitet

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The industrial usage of the open-source Modelica tool OpenModelica was limited so far for power plant applications; due to performance of the large fluid systems. This paper presents some efforts to improve the simulation time on benchmark fluid models proposed by Siemens Energy. The main aspects presented here to achieve a faster simulation are an efficient evaluation of the jacobian matrix by a coloring technique; that expolits the sparsity pattern of a modelica model. Therefore the techniques are scratched and applied to benchmark models provied by Siemens Energy.

Keywords: OpenModelica; Fluid Simulation; Benchmark; Simulation; Jacobian; Coloring; Sparsity-Pattern; DASSL

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:

Willi Braun, Stephanie Gallardo Yances, Kilian Link, Bernhard Bachmann

Title:

Fast Simulation of Fluid Models with Colored Jacobians

DOI:

http://dx.doi.org/10.3384/ecp12076247

References:

[1] Åkesson J; Braun W; Lindholm P; Bachmann B. Generation of Sparse Jacobians in the Function Mock-Up Interface 2.0. In: Proceedings of the 9th Modelica Conference; Munich; Germany; Modelica Association; 2012.

[2] Assefaw H. Gebremedhin; Fredrik Manne; and Alex Pothen. What color is your jacobian? graph coloring for computing derivatives. SIAM Rev.; 47(4):629–705; 2005. doi: 10.1137/S0036144504444711.

[3] Braun W; Ochel L; Bachmann B. Symbolically Derived Jacobians Using Automatic Differentiation - Enhancement of the OpenModelica Compiler. In: Proceedings of the 8th Modelica Conference; Dresden; Germany; Modelica Association; 2010.

[4] Fritzson P. et. al.: OpenModelica System Documentation; PELAB; Department of Computer and Information; Linköpings universitet; 2010.

[5] Siemens Energy: https://www.energy.siemens.com

[6] Link K; Vogel S; Mynttinen I. Fluid Simulation and Optimization using Open Source Tools. In: Proceedings of the 8th Modelica Conference 2010; Dresden; Germany; Modelica Association; 20th to 22nd 2011 2010.

[7] Petzold L. R.: A Description of DASSL: A Differential/ Algebraic System Solver; Sandia National Laboratories Livermore; 1982.

Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:

Willi Braun, Stephanie Gallardo Yances, Kilian Link, Bernhard Bachmann

Title:

Fast Simulation of Fluid Models with Colored Jacobians

DOI:

https://doi.org10.3384/ecp12076247

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