Journal
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
Volume 83, Issue 3, Pages 409-444Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00186-016-0533-5
Keywords
Discrete-continuous nonlinear optimization; Gas networks; Gas compressor stations; Mixed-integer optimization; Continuous reformulations
Funding
- German Federal Ministry of Economics and Technology
- Aufbruch Bayern (Bavaria on the move) initiative of the state of Bavaria
- Open Grid Europe GmbH
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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.
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