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Location Problem for Compressor Stations in Pipeline Networks

Submission Status:under review
  • In the operation of pipeline networks, compressors play a crucial role in ensuring the network’s functionality for various scenarios. In this contribution we address the important question of finding the optimal location of the compressors. This problem is of a novel structure, since it is related with the gas dynamics that governs the network flow. That results in non-convex mixed integer stochastic optimization problems with probabilistic constraints. Using a steady state model for the gas flow in pipeline networks including compressor control and uncertain loads given by certain probability distributions, the problem of finding the optimal location for the control on the network, s.t. the control cost is minimal and the gas pressure stays within given bounds, is considered. In the deterministic setting, explicit bounds for the pipe length and the inlet pressure, s.t. a unique optimal compressor location with minimal control cost exists, are presented. In the probabilistic setting, an existence result for the optimal compressor location is presented and the uniqueness of the solution is discussed depending on the probability distribution. For Gaussian distributed loads a uniqueness result for the optimal compressor location is presented. Further the problem of finding the optimal compressor locations on networks including the number of compressor stations as variable is considered. Results for the existence of optimal locations on a graph in both, the deterministic and the probabilistic setting, are presented and the uniqueness of the solutions is discussed depending on probability distributions and graph topology. The paper concludes with an illustrative example demonstrating that the compressor locations determined using a steady state approach are also admissible in transient settings.

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Metadaten
Author:Martin Gugat, Michael Schuster, Jan Sokolowski
Document Type:Preprint
Language:English
Date of Publication (online):2024/01/16
Release Date:2024/06/18
Tag:Compressor Control; Gas Networks; Optimal Location; Uncertain Boundary Data; Weber Problem
Page Number:34
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:C03
C05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International