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Fast and reliable transient simulation and continuous optimization of large-scale gas networks

Author

Listed:
  • Pia Domschke

    (Frankfurt School of Finance and Management)

  • Oliver Kolb

    (University of Mannheim)

  • Jens Lang

    (Technical University of Darmstadt)

Abstract

We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by sufficiently accurate physical models taken from a hierarchy of decreasing complexity and varying over time. Feasible work regions of compressor stations consisting of several turbo compressors are included by semiconvex approximations of aggregated characteristic fields. A discrete adjoint approach within a first-discretize-then-optimize strategy is proposed and a sequential quadratic programming with an active set strategy is applied to solve the nonlinear constrained optimization problems resulting from a validation of nominations. The method proposed here accelerates the computation of near-term forecasts of sudden changes in the gas management and allows for an economic control of intra-day gas flow schedules in large networks. Case studies for real gas pipeline systems show the remarkable performance of the new method.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:mathme:v:95:y:2022:i:3:d:10.1007_s00186-021-00765-7
    DOI: 10.1007/s00186-021-00765-7
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    References listed on IDEAS

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    1. Terrence W. K. Mak & Pascal Van Hentenryck & Anatoly Zlotnik & Russell Bent, 2019. "Dynamic Compressor Optimization in Natural Gas Pipeline Systems," INFORMS Journal on Computing, INFORMS, vol. 31(1), pages 40-65, February.
    2. Domschke, Pia & Kolb, Oliver & Lang, Jens, 2015. "Adjoint-based error control for the simulation and optimization of gas and water supply networks," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 1003-1018.
    3. 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.
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