Nodal control and the turnpike phenomenon (C03)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

The goal of this project is to prove turnpike results for optimal control problems in gas networks. We will consider nodal control since the control action takes place at compressors that are located at a small number of points in the networks. Probabilistic constraints are included since they allow to take into account the uncertainty of e.g. the customer demand. We will also scrutinize switching conditions that arise e.g in the decision to to open or close a gas valve. Since the turnpike phenomenon relates the dynamic optimal states to steady states, we will also study steady gas flows on networks with intertwined cycles.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks
• Applicant Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
• Project Heads: Professor Dr. Martin Gugat; Professor Dr. Rüdiger Schultz