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Computational optimization of gas compressor stations: MINLP models versus continuous reformulations

Author

Listed:
  • Daniel Rose

    (Leibniz Universität Hannover)

  • Martin Schmidt

    (Friedrich-Alexander-Universität Erlangen-Nürnberg
    Energie Campus Nürnberg)

  • Marc C. Steinbach

    (Leibniz Universität Hannover)

  • Bernhard M. Willert

Abstract

When considering cost-optimal operation of gas transport networks, compressor stations play the most important role. Proper modeling of these stations leads to nonconvex mixed-integer nonlinear optimization problems. In this article, we give an isothermal and stationary description of compressor stations, state MINLP and GDP models for operating a single station, and discuss several continuous reformulations of the problem. The applicability and relevance of different model formulations, especially of those without discrete variables, is demonstrated by a computational study on both academic examples and real-world instances. In addition, we provide preliminary computational results for an entire network.

Suggested Citation

  • Daniel Rose & Martin Schmidt & Marc C. Steinbach & Bernhard M. Willert, 2016. "Computational optimization of gas compressor stations: MINLP models versus continuous reformulations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(3), pages 409-444, June.
    • Handle: RePEc:spr:mathme:v:83:y:2016:i:3:d:10.1007_s00186-016-0533-5
    DOI: 10.1007/s00186-016-0533-5
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    References listed on IDEAS

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    1. Pia Domschke & Bjorn Geißler & Oliver Kolb & Jens Lang & Alexander Martin & Antonio Morsi, 2011. "Combination of Nonlinear and Linear Optimization of Transient Gas Networks," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 605-617, November.
    2. Debora Mahlke & Alexander Martin & Susanne Moritz, 2007. "A simulated annealing algorithm for transient optimization in gas networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(1), pages 99-115, August.
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    Cited by:

    1. Yijiang Li & Santanu S. Dey & Nikolaos V. Sahinidis, 2024. "A reformulation-enumeration MINLP algorithm for gas network design," Journal of Global Optimization, Springer, vol. 90(4), pages 931-963, December.
    2. Veronika Grimm & Lars Schewe & Martin Schmidt & Gregor Zöttl, 2019. "A multilevel model of the European entry-exit gas market," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(2), pages 223-255, April.
    3. Groissböck, Markus, 2019. "Are open source energy system optimization tools mature enough for serious use?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 102(C), pages 234-248.
    4. Milosavljevic, Predrag & Marchetti, Alejandro G. & Cortinovis, Andrea & Faulwasser, Timm & Mercangöz, Mehmet & Bonvin, Dominique, 2020. "Real-time optimization of load sharing for gas compressors in the presence of uncertainty," Applied Energy, Elsevier, vol. 272(C).
    5. Falk M. Hante & Martin Schmidt, 2019. "Complementarity-based nonlinear programming techniques for optimal mixing in gas networks," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 299-323, September.
    6. Richard Krug & Günter Leugering & Alexander Martin & Martin Schmidt & Dieter Weninger, 2024. "A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 397-416, March.
    7. Björn Geißler & Antonio Morsi & Lars Schewe & Martin Schmidt, 2018. "Solving Highly Detailed Gas Transport MINLPs: Block Separability and Penalty Alternating Direction Methods," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 309-323, May.
    8. Benjamin Hiller & René Saitenmacher & Tom Walther, 2021. "Improved models for operation modes of complex compressor stations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 171-195, October.
    9. Pia Domschke & Oliver Kolb & Jens Lang, 2022. "Fast and reliable transient simulation and continuous optimization of large-scale gas networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(3), pages 475-501, June.
    10. Martin Schmidt & Denis Aßmann & Robert Burlacu & Jesco Humpola & Imke Joormann & Nikolaos Kanelakis & Thorsten Koch & Djamal Oucherif & Marc E. Pfetsch & Lars Schewe & Robert Schwarz & Mathias Sirvent, 2017. "GasLib—A Library of Gas Network Instances," Data, MDPI, vol. 2(4), pages 1-18, December.
    11. Johannes Thürauf, 2022. "Deciding the feasibility of a booking in the European gas market is coNP-hard," Annals of Operations Research, Springer, vol. 318(1), pages 591-618, November.

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