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  4. Order reduction for nonlinear dynamic models of district heating networks
 
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2020
Doctoral Thesis
Titel

Order reduction for nonlinear dynamic models of district heating networks

Abstract
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.
ThesisNote
Zugl.: Kaiserslautern, TU, Diss., 2019
Author(s)
Rein, Markus
Beteiligt
Klar, A.
Marheineke, N.
Verlag
Fraunhofer Verlag
Verlagsort
Stuttgart
DOI
10.24406/publica-fhg-283112
File(s)
N-590128.pdf (1.67 MB)
Language
English
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Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Tags
  • numerical analysis

  • heat transfer process...

  • optimization

  • district heating netw...

  • model order reduction...

  • optimal control appli...

  • linear time-varying s...

  • Lyapunov stability

  • angewandte Mathematik...

  • Energieingenieur

  • Berechnungsingenieur

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