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- W4288246593 abstract "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." @default.
- W4288246593 created "2022-07-28" @default.
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- W4288246593 date "2019-08-29" @default.
- W4288246593 modified "2023-09-23" @default.
- W4288246593 title "Port-Hamiltonian modeling of district heating networks" @default.
- W4288246593 doi "https://doi.org/10.48550/arxiv.1908.11226" @default.
- W4288246593 hasPublicationYear "2019" @default.
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