Project description for a joint project for the BMBF call in the field of " Mathematics for Innovations" as a contribution to method development in dealing with challenges in digitalisation and sustainability
Network coordinator
Prof. Dr. Stefan Volkwein
University of Konstanz
Department of Mathematics and Statistics
Research Group Numerical Optimization
78457 Konstanz
Collaborative partner
- Prof. Dr. Nicole Marheineke
University of Trier
Department IV – Mathematics
Chair of Modelling and Numerics
54286 Trier - Dr. Jan Mohring
Fraunhofer Institute for Industrial Mathematics ITWM
Department of Transport operations
67663 Kaiserslautern - Dr. Benjamin Unger
University of Stuttgart
Stuttgart Center for Simulation Science
Independent Junior Research Group Leader for Dynamical Systems
70569 Stuttgart - Prof. Dr. Stefan Volkwein
University of Konstanz
Department of Mathematics and Statistics
Research Group Numerical Optimization
78457 Konstanz
Economic partner
Rechenzentrum für Versorgungsnetze Wehr GmbH
Dr.-Ing. Piet Hensel, Dr.-Ing. Dirk König
Wiesenstraße 21
40549 Düsseldorf
Short description
In the present project ElAN, efficient local waste heat utilization in low-temperature heat networks is to be calculated. Decentralized waste heat feeds on site (e.g. from supermarkets, computer centers or foundries) should lead to more climate-neutral municipalities and regions in the sense of a sustainable circular economy. In order to achieve this goal, a model-predictive control is designed that arrives at a solution strategy by digital (i.e. computational) means using mathematical models that can be applied to real heating networks. For this solution approach, it is necessary to develop new algorithmic strategies, since it is a high-dimensional network optimization in which switched differential-algebraic systems and constraints for state variables occur as constraints. For this purpose, new methods of model reduction are combined with efficient and adapted optimization methods in an innovative way.
Meetings
- 31th January 2023: Virtual project meeting
- On 14th February 2023, Sarah Hauschild will give a talk with the title
"Numerical Methods for a port-Hamiltonian Model of the Compressible Euler Equations (Teil 1)" - On 21th February 2023, Sarah Hauschild will give a talk with the title
"Numerical Methods for a port-Hamiltonian Model of the Compressible Euler Equations (Teil 2)" - On 22th March 2023, Matthias Eimer will give a talk with the title:
"Modeling and Efficient Simulation of District heating Networks" - April 25-26, 2023: Kick-Off Meeting at the University of Konstanz
- 13th December 2023: Talk by Mr. Dr. Benjamin Unger on the topic of "Towards Port-Hamiltonian Systems with Time-Delays"
- 20th to 21th February 2024: Project meeting in Stuttgart
- Presentation by M. Kartmann, J. Rohleff and S.Volkwein on the project status
Employees
- Dr. Matthias Eimer, ITWM Kaiserslautern
- Johanna Heidrich, ITWM Kaiserslautern
- Michael Kartmann, University of Konstanz
- Dr. Mattia Manucci, University of Stuttgart
- Andrés Felipe Ortegón Villacorte, University of Trier
- Jan Rohleff, University of Konstanz
Publications
- Finite-Dimensional RHC Control of Linear Time-Varying Parabolic PDEs: Stability Analysis and Model-Order Reduction
- B. Azmi, J. Rohleff und S. Volkwein
Submitted, 2024 - Optimal control of port-Hamiltonian systems with minimal energy supply: a penalty method approach
H. Kühnert
Masterthesis, University of Konstanz, 2023 - Optimal control of dynamic district heating networks
C. Jäkle, L. Reichle und S. Volkwein
Submitted, 2023 - Model Reduction on Manifolds: A differential geometric framework.
P. Buchfink, S. Glas, B. Haasdonk and B. Unger
Submitted, 2023 - Towards a modeling class for port-Hamiltonian systems with time-delay.
T. Breiten, D. Hinsen, and B. Unger
ArXiv e-print 2211.10687, 2022.
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