Port-Hamiltonian Modeling of District Heating Networks

Authors

Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann, Jan Mohring, Arbi Moses Badlyan, Markus Rein, Martin Schmidt

Abstract

This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. District heating network By introducing a model hierarchy of flow equations on the network, this work aims at a thermodynamically consistent port-Hamiltonian embedding of the partial differential-algebraic systems. We show that a spatially discretized network model describing the advection of the internal energy density with respect to an underlying incompressible stationary Euler-type hydrodynamics can be considered as a parameter-dependent finite-dimensional port-Hamiltonian system. Port-Hamiltonian system Moreover, we present an infinite-dimensional port-Hamiltonian formulation for a compressible instationary thermodynamic fluid flow Thermodynamic fluid flow in a pipe. Based on these first promising results, we raise open questions and point out research perspectives concerning structure-preserving discretization, model reduction, and optimization.

Keywords

Partial differential equations on networks; Port-Hamiltonian model framework; Energy-based formulation; District heating network; Thermodynamic fluid flow; Turbulent pipe flow; Euler-like equations; 93A30; 35Q31; 37D35; 76-XX

Citation

• ISBN: 9783030539047
• Publisher: Springer International Publishing
• DOI: 10.1007/978-3-030-53905-4_11

BibTeX

@inbook{Hauschild_2020,
  title={{Port-Hamiltonian Modeling of District Heating Networks}},
  ISBN={9783030539054},
  ISSN={2199-840X},
  DOI={10.1007/978-3-030-53905-4_11},
  booktitle={{Progress in Differential-Algebraic Equations II}},
  publisher={Springer International Publishing},
  author={Hauschild, Sarah-Alexa and Marheineke, Nicole and Mehrmann, Volker and Mohring, Jan and Badlyan, Arbi Moses and Rein, Markus and Schmidt, Martin},
  year={2020},
  pages={333--355}
}

Download the bib file

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