SFB Transregio 154

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

News

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.

News

Multilevel Game Theory for Gas Market Models - Talk by Dr. Sonja Steffensen, 25.04.2023

Abstract: We will start with a brief discussion of multilevel game models such as bilevel and Stackelberg games or multi-leader-follower games. We …

Contributed Talk, The 65th Joint Conference on Automatic Control at Utsunomiya University in Utsunomiya, 12.11.2022:

Title: Optimal Control for ODEs and PDEs: The Turnpike Phenomenon, by Michael Schuster

Invited Talk at Nanzan University in Nagoya, Faculty of Science and Engineering, 26.10.2022

Title: Probabilistic Constrained Optimization with Differential Equations: An Application to Gas Transport, by Michael Schuster

25th International Symposium on Mathematical Theory of Networks and Systems

Martin Gugat and Martin Lazar are leading an invited session at MTNS 2022 (12-16 September 2022, Bayreuth, Germany) with title "Recent developments…

Talk for pupils visiting FAU within the pupil internship week

From differential calculus to differential equations, 14.07.22, Michael Schuster

Read on