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

Daniel Rose (), Martin Schmidt (), Marc C. Steinbach () and Bernhard M. Willert
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Daniel Rose: Leibniz Universität Hannover
Martin Schmidt: Friedrich-Alexander-Universität Erlangen-Nürnberg
Marc C. Steinbach: Leibniz Universität Hannover

Mathematical Methods of Operations Research, 2016, vol. 83, issue 3, No 5, 409-444

Abstract: 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.

Keywords: Discrete-continuous nonlinear optimization; Gas networks; Gas compressor stations; Mixed-integer optimization; Continuous reformulations; 90-08; 90C11; 90C30; 90C33; 90C90 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s00186-016-0533-5

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