Gas Network Benchmark Models

  • Peter Benner
  • Sara GrundelEmail author
  • Christian Himpe
  • Christoph Huck
  • Tom Streubel
  • Caren Tischendorf
Part of the Differential-Algebraic Equations Forum book series (DAEF)


The simulation of gas transportation networks becomes increasingly more important as its use-cases broaden to more complex applications. Classically, the purpose of the gas network was the transportation of predominantly natural gas from a supplier to the consumer for long-term scheduled volumes. With the rise of renewable energy sources, gas-fired power plants are often chosen to compensate for the fluctuating nature of the renewables, due to their on-demand power generation capability. Such an only short-term plannable supply and demand setting requires sophisticated simulations of the gas network prior to the dispatch to ensure the supply of all customers for a range of possible scenarios and to prevent damages to the gas network. In this work we describe the modeling of gas networks and present benchmark systems to test implementations and compare new or extended models.


Flow network Gas network Gas transport Isothermal Euler equation Natural gas Pipeline 

Mathematics Subject Classification (2010)

76N15 68U20 35L60 



Supported by the German Federal Ministry for Economic Affairs and Energy, in the joint project: “MathEnergy – Mathematical Key Technologies for Evolving Energy Grids”, sub-project: Model Order Reduction (Grant number: 0324019B).

The work for the article has been conducted within the Research Campus MODAL funded by the German Federal Ministry of Education and Research (BMBF) (fund number 05M14ZAM).

We also acknowledge funding through the DFG CRC/Transregio 154 “Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks”, Subproject C02.

Supplementary material (862 kb)
DAEF_ESM_chapter5 (862kb)


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Peter Benner
    • 1
  • Sara Grundel
    • 1
    Email author
  • Christian Himpe
    • 1
  • Christoph Huck
    • 2
  • Tom Streubel
    • 2
    • 3
  • Caren Tischendorf
    • 2
  1. 1.Max Planck Institute for Dynamics of Complex Technical SystemsMagdeburgGermany
  2. 2.Department of MathematicsHumboldt-Universität zu BerlinBerlinGermany
  3. 3.Department of Optimization at Zuse Institute BerlinBerlinGermany

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