This thesis focuses on the formulation of reduced order models for a numerically efficient simulation of district heating networks. Their dynamics base upon incompressible Euler equations, forming a system of quasi-linear hyperbolic partial differential equations. The algebraic constraints introduced by the network structure cause dynamical changes of flow direction as a central difficulty. A control system is derived allowing to analyze essential properties of the reduced order model such as Lyapunov stability. By splitting the problem into a differential part describing the transport of thermal energy and an algebraic part defining the flow field, tools from parametric model order reduction can be applied. A strategy is suggested which produces a global Galerkin projection based on moment-matching of local transfer functions. The benefits of the resulting surrogate model are demonstrated at different, existing large-scale networks. In addition, the performance of the suggested model is studied in the numerical computation of an optimal control of the feed-in power employing a discretize-first strategy.
Produkteigenschaften
- Artikelnummer: 9783839615812
- Medium: Buch
- ISBN: 978-3-8396-1581-2
- Verlag: Fraunhofer Verlag
- Erscheinungstermin: 20.05.2020
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2020
- Produktform: Kartoniert
- Seiten: 152
- Format (B x H): 148 x 210 mm
- Ausgabetyp: Kein, Unbekannt