TY - JOUR A1 - Hauschild, Sarah-Alexa A1 - Marheineke, Nicole A1 - Mehrmann, Volker A1 - Mohring, Jan A1 - Badlyan, Arbi Moses A1 - Rein, Markus A1 - Schmidt, Martin T1 - Port-Hamiltonian modeling of district heating networks JF - Progress in Differential Algebraic Equations II (edited by Reis T., Grundel S., and Schöps S). Differential-Algebraic Equations Forum N2 - 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. KW - Partial differential equations on networks KW - Port-Hamiltonian model framework KW - Energy-based formulation KW - District heating network KW - Thermodynamic fluid flow Y1 - 2019 ER -