A secure, efficient and sustainable energy supply is a key priority for society. The operating environments for energy systems have changed drastically over the past decade and have created a need for fundamental revisions to classical practices in almost all energy sectors. Based on former research results in concrete energy topics, MATH+ research addresses now challenges in a hierarchical and holistic perspective starting from detailed models for storage devices (e.g. batteries, gas/water reservoirs) via distribution networks (e.g. hydrogen/power) towards energy markets (e.g. spot/financial).
AA4 cooperates with engineers, physicists and economists to develop new mathematical methods for modeling, simulation, optimization, risk analysis and real-time decision-making under uncertainty in energy production/distribution under market conditions. The research topics include stochastic modeling of electricity markets, rough and stochastic analysis, control and equilibria for energy markets, model estimation and validation of dynamic processes, simulation and optimization of energy networks and energy-efficient devices as well as optimization with probabilistic constraints.
Previous denomination of AA4 (2019-2022): Energy and Markets
Scientists in Charge: Peter Karl Friz, René Henrion, Caren Tischendorf
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- AA4-2: Optimal Control in Energy Markets Using Rough Analysis and Deep Networks
Christian Bayer, Peter Karl Friz, John Schoenmakers, Vladimir Spokoiny - AA4-7: Decision-Making for Energy Network Dynamics
Falk Hante, Michael Hintermüller, Sebastian Pokutta - AA4-9: Volatile Electricity Markets and Battery Storage: A Model-Based Approach for Optimal Control
Christian Bayer, Dörte Kreher, Manuel Landstorfer - AA4-10: Modelling and Optimization of Weakly Coupled Minigrids under Uncertainty
René Henrion, Dietmar Hömberg - AA4-11: Using Mathematical Programming to Enhance Multiobjective Learning
Aswin Kannan - AA4-12: Advanced Modeling, Simulation, and Optimization of Large Scale Multi-Energy Systems
Volker Mehrmann - AA4-13: Equilibria for Distributed Multi-Modal Energy Systems under Uncertainty
Pavel Dvurechenskii, Caroline Geiersbach, Michael Hintermüller, Aswin Kannan - AA4-14: Data-Driven Prediction of the Band-Gap for Perovskites
Claudia Draxl, Sebastian Pokutta, Daniel Walter, Andrea Walther
- AA4-2: Optimal Control in Energy Markets Using Rough Analysis and Deep Networks
Successfully completed projects:
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- AA4-1: PDAEs with Uncertainties for the Analysis, Simulation and Optimization of Energy Networks
René Henrion, Nicolas Perkowski, Caren Tischendorf - AA4-3: Equilibria for Energy Markets with Transport
Michael Hintermüller, Volker Mehrmann, Carlos Rautenberg - AA4-4: Stochastic Modeling of Intraday Electricity Markets
Dörte Kreher, Markus Reiß - AA4-5: Energy-Based Modeling, Simulation, and Optimization of Power Systems under Uncertainty
Volker Mehrmann, Caren Tischendorf, Matthias Voigt - AA4-6: Simulation and Optimization of Integrated Solar Fuels and Photovoltaics Devices
Sven Burger, Bernd Rech - AA4-8: Recovery of Battery Ageing Dynamics with Multiple Timescales
Martin Eigel, Martin Heida, Manuel Landstorfer
- AA4-1: PDAEs with Uncertainties for the Analysis, Simulation and Optimization of Energy Networks