Port-Hamiltonian Modeling of District Heating Networks

@article{Hauschild2020PortHamiltonianMO,
  title={Port-Hamiltonian Modeling of District Heating Networks},
  author={Sarah-Alexa Hauschild and Nicole Marheineke and Volker Mehrmann and Jan Mohring and Arbi Moses Badlyan and Markus Rein and Martin Schmidt},
  journal={Progress in Differential-Algebraic Equations II},
  year={2020}
}
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… 
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