Stability Preserving Model Order Reduction for District Heating Networks
Stability is one of the key properties when modeling a physical system on all model hierarchies. We focus on the case of hyperbolic differential algebraic equations dominated by advection at the example of district heating networks. For the transport dynamics, a solution of the corresponding Lyapunov inequality is presented ensuring stability. At the example of an existing network, we numerically demonstrate that stability also translates to the reduced order model (ROM).
We acknowledge the financial support by the Federal Ministry for Economic Affairs and Energy of Germany in the framework of the project “Verbundvorhaben:EnEff:Wärme - DYNEEF: Dynamische Netzsimulation zur Effizienzsteigerung und Emissionsreduzierung in der Fernwärmeerzeugung - Schwerpunkt: Optimierung” (Förderkennzeichen: 03ET1346B).
- 6.Rein, M., Mohring, J., Damm, T., Klar, A.: Model order reduction of hyperbolic systems at the example of district heating networks (2019). arXiv:1903.03342v1Google Scholar