Article | Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany | Steady-state initialization of object-oriented thermo-fluid models by homotopy methods Linköping University Electronic Press Conference Proceedings
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Title:
Steady-state initialization of object-oriented thermo-fluid models by homotopy methods
Author:
Francesco Casella: Dipartimento di Elettronica e Informazione, Politecnico di Milano, Italy Michael Sielemanny: Deutsches Zentrum für Luft- und Raumfahrt, Institute of Robotics and Mechatronics, Germany Luca Savoldelli: Dipartimento di Elettronica e Informazione, Politecnico di Milano, Italy
DOI:
10.3384/ecp1106386
Download:
Full text (pdf)
Year:
2011
Conference:
Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany
Issue:
063
Article no.:
011
Pages:
86-96
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2011-06-30
ISBN:
978-91-7393-096-3
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 steady-state initialization of large object-oriented thermo-hydraulic networks is a difficult problem; because of the sensitivity of the convergence to the initial guesses of the iteration variables. This paper proposes an approach to this problem based on homotopy transformation; detailing specific criteria for model simplifications in this physical domain. The approach is successfully demonstrated on large power plant test cases; having several hundreds of iteration variables.

Keywords: Thermo-hydraulic systems; power plants; steady-state initialization problems

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Francesco Casella, Michael Sielemanny, Luca Savoldelli
Title:
Steady-state initialization of object-oriented thermo-fluid models by homotopy methods
DOI:
http://dx.doi.org/10.3384/ecp1106386
References:

[1] Sielemann M.; Casella F.; Otter M.; Clauss C.; Eborn J.; Mattsson S.E.; Olsson H.; Robust Initialization of Differential-Algebraic Equations Using Homotopy. Submitted to Modelica Conference 2011; Dresden; Germany; 20–22 March 2011.

[2] Heroux M. A.; Bartlett R. A.; Howle V. E.; Hoekstra R. J.; Hu J. J.; Kolda T. G.; Lehoucq R. B.; Long K. R.; Pawlowski R. P.; Phipps E. T.; Salinger A. G.; Thornquist H. K.; Tuminaro R. S.; Willenbring J. M.; Williams A.; Stanley K. S. An overview of the Trilinos project; ACM Transactions on Mathematical Software; 31; 397–423; 2005. doi: 10.1145/1089014.1089021.

[3] Chow S. N.; Mallet-Paret J.; Yorke J. A. (1978): Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One. Mathematics of Computation 32; pp. 887-899; 1978. doi: 10.1090/S0025-5718-1978-0492046-9.

[4] Casella F.; Leva A.; Modelica Open Library For Power Plant Simulation: Design And Experimental Validation. Proceedings 3rd International Modelica Conference; Linköping; Sweden; Nov. 3-4; 2003; pp. 41-50.

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Francesco Casella, Michael Sielemanny, Luca Savoldelli
Title:
Steady-state initialization of object-oriented thermo-fluid models by homotopy methods
DOI:
https://doi.org10.3384/ecp1106386
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