Order reduction for nonlinear dynamic models of district heating networks
Seiten
2020
Fraunhofer Verlag
978-3-8396-1581-2 (ISBN)
Fraunhofer Verlag
978-3-8396-1581-2 (ISBN)
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This thesis focuses on the calculation of reduced order models for a numerically efficient simulation of district heating networks. A control system is derived, describing the transport of energy in incompressible Euler-like equations. The benefits of the suggested surrogate model are demonstrated at existing large-scale networks. One of the presented applications is the numerical computation of an optimal control of the feed-in power.
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.
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.
| Erscheinungsdatum | 21.05.2020 |
|---|---|
| Zusatzinfo | num., mostly col. illus. and tab. |
| Verlagsort | Stuttgart |
| Sprache | englisch |
| Maße | 148 x 210 mm |
| Themenwelt | Mathematik / Informatik ► Informatik |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | Angewandte Mathematiker • B • Berechnungsingenieur • Berechnungsingenieure • district heating network • district heating networks • Energieingenieur • Energieingenieure • Fraunhofer ITWM • heat transfer processes • linear time-varying systems • Lyapunov stability • Model order reduction • Numerical analysis • optimal control applications • Optimization |
| ISBN-10 | 3-8396-1581-X / 383961581X |
| ISBN-13 | 978-3-8396-1581-2 / 9783839615812 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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