<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>275</id>
    <completedYear>2019</completedYear>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber>17</pageNumber>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>1</belongsToBibliography>
    <completedDate>2019-09-10</completedDate>
    <publishedDate>2019-09-10</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Port-Hamiltonian modeling of district heating networks</title>
    <abstract language="eng">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.</abstract>
    <parentTitle language="deu">Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Schöps S). Differential-Algebraic Equations Forum</parentTitle>
    <enrichment key="review.accepted_by">2</enrichment>
    <licence>Creative Commons - CC BY - Namensnennung 4.0 International</licence>
    <author>Sarah-Alexa Hauschild</author>
    <author>Nicole Marheineke</author>
    <author>Volker Mehrmann</author>
    <author>Jan Mohring</author>
    <author>Arbi Moses Badlyan</author>
    <author>Markus Rein</author>
    <author>Martin Schmidt</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Partial differential equations on networks</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Port-Hamiltonian model framework</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Energy-based formulation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>District heating network</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Thermodynamic fluid flow</value>
    </subject>
    <collection role="institutes" number="">Technische Universität Berlin</collection>
    <collection role="subprojects" number="">A05</collection>
    <collection role="subprojects" number="">B03</collection>
    <collection role="subprojects" number="">B08</collection>
    <collection role="institutes" number="">Universität Trier</collection>
    <file>https://opus4.kobv.de/opus4-trr154/files/275/mso-dhn.pdf</file>
  </doc>
</export-example>
