Optimization for gas markets

“B08: Multilevel mixed-integer nonlinear optimization for gas markets” (2022-2026)

Funded by the German Science Foundation (DFG) as part of the project “SFB Transregio 154”

Veronika Grimm, Julia Grübel and Alexander Martin

The goal of this subproject is to develop mathematical methods to solve mixed-integer and nonlinear multilevel optimization problems for gas markets coupled with markets of other energy sectors such as electricity. Motivated by the two cases of cooperating or non-cooperating network operators of the different sectors, we investigate on the one hand bilevel problems with potentially multiple solutions on the lower level, for which we establish methods to assess pessimistic solutions. On the other hand, we study multi-leader-follower games and develop problem-tailored solution approaches. Finally, based on our mathematical and algorithmic developments, we characterize equilibria in coupled energy systems for different combinations of market designs in the considered sectors.

More information