In many countries, the energy sector continues to undergo significant changes due to the expansion of renewable energy sources (RES). This expansion requires a major structural transformation of the power system with the grid at its centre. While today's grid infrastructure was designed for centralised and controllable power generation from conventional power plants, the expansion of RES leads to an increasingly uncertain, volatile and distributed generation.

In order to ensure a reliable grid operation, methods are needed that are able to take into account a high resolution of regional and temporal input data. This requirement inevitably leads to a trade-off between model complexity and computational requirements on the one hand and model accuracy on the other hand. A key challenge is therefore to provide efficient methods for power system optimisation, including an accurate consideration of non-linear and non-convex AC power flow constraints.

In cooperation with our partners at the Karlsruhe Institute of Technology, EMCL addresses the central challenge of providing efficient optimisation methods for Dynamic Optimal Power Flow (DOPF) problems. The main focus of our research is on

• Mathematical modelling of Dynamic Optimal Power Flow problems (DOPF);
• Development of new linear solvers that are specialised for DOPF, enabling the use of HPC systems;
• Development of model reduction strategies for DOPF.