SFB Transregio 154

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

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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. Natural gas is and will be sufficiently available, is storable and can be traded.

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.

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Talk for the TRR 154

Hydrogen and synthetic energy carriers: New value chains and the future of global energy trade, 13.10.2021, Veronika Grimm

Joint Workshop of GAMM Activity Groups "Dynamics and Control Theory" and "Optimization with Partial Differential Equations"

The finite-time turnpike phenomenon for optimal control problems, Bayreuth, 02.09.2021, Martin Gugat

SIAM Conference on Optimization (OP21)

Infinite-Dimensional Generalized Nash Equilibrium Problems Arising from Energy Markets, 21.07.2021, Olivier Huber

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