Port-Hamiltonian Systems for dynamic nonlinear network flow problems (C02)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

Precise and at the same time efficiently solvable models for dynamic network flow problems are just as relevant in supply chain design as they are for complex energy transportation problems. Typical constraints include flow conservation in the nodes, which are fulfilled by definition by port-Hamiltonian systems on graphs. In combination with optimal control approaches, we develop and analyze a model hierarchy of dynamic and nonlinear network flow problems and exploit coupling properties of port-Hamiltonian systems to efficiently solve medium to large-scale problems.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professorin Dr. Kathrin Klamroth; Professorin Dr. Claudia Totzeck