SFB Transregio 154

Mathematical modelling, simulation and optimization using the example of gas networks.


Science for energy transition

The “turnaround in energy policy” is currently in the main focus of public opinion. It concerns social, political and scientific aspects as the dependence on a reliable, efficient and affordable energy supply becomes increasingly dominant. On the other side, the desire for a clean, environmentally consistent and climate-friendly energy production is stronger than ever.

Gas as energy source

To balance these tendencies while making a transition to nuclear-free energy supply, gas becomes more and more important in the decades to come. Hydrogen is an energy carrier and can deliver or store a remendous amount of energy. Gaseous hydrogen can be transported through pipelines much the way natural gas is today.

Efficient gas supply

On the other side focusing on an efficient handling of gas transportation induces a number of technical and regulatory problems, also in the context of coupling to other energy carriers. As an example, energy transporters are required by law to provide evidence that within the given capacities all contracts defining the market are physically and technically feasible.

Our goal

Given the amount of data and the potential of stochastic effects, this is a formidable task all by itself, regardless from the actual process of distributing the proper amount of gas with the required quality to the customer. It is the goal of the Transregio-CRC to provide certified novel answers to these grand challenges, based on mathematical modeling, simulation and optimization. In order to achieve this goal new paradigms in the integration of these disciplines and in particular in the interplay between integer and nonlinear programming in the context of stochastic data have to be established and brought to bear.

Clearly, without a specified underlying structure of the problems to face, such a breakthrough is rather unlikely. Thus, the particular network structure, the given hierarchical hybrid modeling in terms of switching algebraic, ordinary and partial differential-algebraic equations of hyperbolic type that is present in gas network transportation systems gives rise to the confidence that the challenges can be met by the team of the proposed Transregio-CRC.

Focus: Integration

Moreover, the fundamental research conducted here will also be applicable in the context of other  energy networks such as fresh- and waste water networks. In this respect the proposed research goes beyond the exemplary problem chosen and will provide, besides a cutting edge in enabling technologies, new mathematics in the emerging area of discrete, respectively, integer and continuous problems.

Future Meetings

  • 13.03 - 15.03.2024 Semi-annual meeting in Darmstadt
  • 07.10 - 11.10.2024 Annual meeting in Regensburg
  • 17.03 - 19.03.2025 Semi-annual meeting in Erfurt
  • 29.09. - 01.10.2025 Annual meeting in Berlin
  • 11.05. - 13.05.2026 Final meeting


Talk at MFO Oberwolfach by Martin Gugat

Martin Gugat (C03 and C05) has participated in the workshop 'Control Methods in Hyperbolic Partial Differential Equations' (5 Nov - 10 Nov 2023) at…

Kolloquium: Robert Weismantel

Robert Weismantel (ETH Zürich) Titel: "Integer Optimization in High Dimensions" 07 November 2023, 4:30 p.m. - 5:30 p.m., H13, Cauerstr. 11, 91058 …

Christine Bernadi Lectures

The TRR 154 and the department of mathematics of TU Darmstadt organize jointly a series of annual lectures in honor of Christine Bernadi, an …

Annual Meeting in Würzburg

Annual meeting of the SFB Transregio 154 in Würzburg from 27 - 29 September 2023

Talk at EUCCO 2023 by Michael Schuster

Title: An a posteriori Probabilistic Robustness Check for Deterministic Optimal Controls European Conference on Computational Optimization (EUCCO…

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