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2018 | OriginalPaper | Chapter

Polyhedral 3D Models for Compressors in Gas Networks

Authors : Tom Walther, Benjamin Hiller, René Saitenmacher

Published in: Operations Research Proceedings 2017

Publisher: Springer International Publishing

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Abstract

Compressor machines are crucial elements in a gas transmission network, required to compensate for the pressure loss caused by friction in the pipes. Modelling all physical and technical details of a compressor machine involves a large amount of nonlinearity, which makes it hard to use such models in the optimization of large-scale gas networks. In this paper, we are going to describe a modelling approach for the operating range of a compressor machine, starting from a physical reference model and resulting in a polyhedral representation in the 3D space of mass flow throughput as well as in- and outlet pressure.

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Literature
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Fügenschuh, A., Geißler, B., Gollmer, R., Morsi, A., Pfetsch, M. E., Rövekamp, J., et al. Physical and technical fundamentals of gas networks. In T. Koch, et al. [4].
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Ríos-Mercado, R. Z., & Borraz-Sánchez, C. (2015). Optimization problems in natural gas transportation systems: A state-of-the-art review. Applied Energy, 147, 536–555.CrossRef
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Rose, D., Schmidt, M., Steinbach, M. C., & Willert, B. M. (2016). Computational optimization of gas compressor stations: MINLP models versus continuous reformulations. Mathematical Methods of Operations Research, 83(3), 409–444.CrossRef
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Traupel, W. (2001). Thermische Turbomaschinen. Berlin: Springer.
Metadata
Title
Polyhedral 3D Models for Compressors in Gas Networks
Authors
Tom Walther
Benjamin Hiller
René Saitenmacher
Copyright Year
2018
Book
Operations Research Proceedings 2017

Print ISBN: 978-3-319-89919-0

Electronic ISBN: 978-3-319-89920-6

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-89920-6_69