Multilevel Game Theory for Gas Market Models – Talk by Dr. Sonja Steffensen, 25.04.2023 7. März 20239. März 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 will then proceed with the particular application of a dynamicmultilevel game model for the European gas market. Here the (lower-level) players are the traders that act at the nodes of the network where they can nominate, buy or sell gas. The gas flow itself is controlled by the so-called technical system operator (TSO) (upper-level player). We consider a fully dynamic version of the gas flow using a coupled system of Euler equations to describe the time dependent gas dynamicsin the network. This modelling yields an optimal control problem for the TSO which has to be coupled to the discrete multilevel game model for the traders. Using the particular potential game structure of theinvolved discrete Nash games amongst the traders allows us to reduce the multilevel game into a single level problem such that we end up with a bilevel optimal control problem for the TSO.
Contributed Talk, The 65th Joint Conference on Automatic Control at Utsunomiya University in Utsunomiya, 12.11.2022: 14. November 20229. Dezember 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 27. Oktober 20229. Dezember 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 18. Juli 2022 Martin Gugat and Martin Lazar are leading an invited session at MTNS 2022 (12-16 September 2022, Bayreuth, Germany) with title „Recent developments and perspective in the study of the turnpike phenomenon for optimal control problems“
Talk for pupils visiting FAU within the pupil internship week 13. Juli 202211. Juli 2022 From differential calculus to differential equations, 14.07.22, Michael Schuster
Our Special Issue on Energy Networks in the journal Mathematical Methods in Operations Research is out! 11. Juli 2022 This special issue is guest edited by Miguel F. Anjos, Falk M. Hante and Frauke Liers https://link.springer.com/article/10.1007/s00186-022-00791-z
Visit by Larry Biegler at HU Berlin 1. Juli 2022 On 4th of July, Larry Biegler will visit the working groups of Caren Tischendorf and Andrea Walther
Semi-plenary lecture at ECCOMAS Conference 2022 10. Juni 20221. Juli 2022 Adjoint-based optimization for industrial applications, 09 June 2022, Andrea Walther
Announcement: Talk on „Gender equality in an academic department: how to do it“ by Professor Paul Walton 12. Mai 2022 on Wednesday, May 18, at 5:15 p.m., Prof. Dr. Paul Walton, U of York, will give a talk in the Mathematical Colloquium at TUDa on Gender equality in an academic department: how to do it
Announcement of the „TRR154 Summer School on Modelling, Simulation and Optimization of Energy Networks“ 22. April 2022 The Summer School will be an Online-Event taking place 8.-10. June 2022. Further information can be found under the following Link: https://www.trr154.fau.de/summer-school-2022
