Controlling transient gas flow in real-world pipeline intersection areas

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Controlling transient gas flow in real‑world pipeline intersection areas Felix Hennings1,2   · Lovis Anderson1   · Kai Hoppmann‑Baum1,2   · Mark Turner1,2   · Thorsten Koch2,1  Received: 1 November 2019 / Revised: 27 August 2020 / Accepted: 4 September 2020 © The Author(s) 2020

Abstract Compressor stations are the heart of every high-pressure gas transport network. Located at intersection areas of the network, they are contained in huge complex plants, where they are in combination with valves and regulators responsible for routing and pushing the gas through the network. Due to their complexity and lack of data compressor stations are usually dealt with in the scientific literature in a highly simplified and idealized manner. As part of an ongoing project with one of Germany’s largest transmission system operators to develop a decision support system for their dispatching center, we investigated how to automatize the control of compressor stations. Each station has to be in a particular configuration, leading in combination with the other nearby elements to a discrete set of up to 2000 possible feasible operation modes in the intersection area. Since the desired performance of the station changes over time, the configuration of the station has to adapt. Our goal is to minimize the necessary changes in the overall operation modes and related elements over time while fulfilling a preset performance envelope or demand scenario. This article describes the chosen model and the implemented mixed-integer programming based algorithms to tackle this challenge. By presenting extensive computational results on real-world data, we demonstrate the performance of our approach. Keywords  Transient gas network optimization · Mixed-integer programming · Realistic modeling of compressor stations

* Felix Hennings [email protected] Extended author information available on the last page of the article

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1 Introduction Throughout the past years, the mathematics of gas transport has been an intensively studied topic. Natural gas was, is, and will be one of the primary energy sources in Germany, making efficient and safe transport a field of high economic and political relevance according to the German Federal Ministry for Economic Affairs and Energy (2019). Furthermore, the task is also challenging from a mathematical point of view. One such challenge is in the compressors, which push the gas through the network by increasing its pressure. Compressors are typically set up as a compressor station consisting of multiple compressor units, each representing the union of one single compressor machine and its associated drive. These compressor units are dynamically switched on or off and used in different sequences to meet the current needs in terms of compression ratios and flow rates. Out of the theoretically possible arrangements of compressor units, the set of technically feasible arrangements are known as the configurations of a compressor station. The intersections of major transportation pip