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Port-Hamiltonian modeling of district heating networks

  • This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. 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. Moreover, we present an infinite-dimensional port-Hamiltonian formulation for a compressible instationary 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.

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Author:Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann, Jan Mohring, Arbi Moses Badlyan, Markus Rein, Martin Schmidt
Parent Title (German):Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Schöps S). Differential-Algebraic Equations Forum
Document Type:Article
Language:English
Date of Publication (online):2019/09/10
Date of first Publication:2019/09/10
Release Date:2019/09/10
Tag:District heating network; Energy-based formulation; Partial differential equations on networks; Port-Hamiltonian model framework; Thermodynamic fluid flow
Page Number:17
Institutes:Technische Universität Berlin
Universität Trier
Subprojects:A05
B03
B08
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International