Modeling and Passivity Properties of Multi-Producer District Heating Systems

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Abstract

We propose a comprehensive nonlinear ODE-based thermo-hydraulic model of a district heating system featuring several heat producers, consumers and storage devices which are interconnected through a distribution network of meshed topology whose temperature dynamics are explicitly considered. Moreover, we analyze the conditions under which the hydraulic and thermal subsystems of the model exhibit shifted passivity properties. For the hydraulic subsystem, our claims on passivity draw on the monotonicity of the vector field associated to the district heating system’s flow dynamics, which mainly codifies viscous friction effects on the system’s pressures. For the temperature dynamics, we propose a storage function based on the ectropy function of a thermodynamic system, recently used in the passivity analysis of heat exchanger networks.
Original languageEnglish
Title of host publicationProceedings of the IFAC World Congress 2023
Publication statusPublished - 2023
Event22nd International Federation of Automatic Control World Congress (IFAC WC 2023) - Yokohama, Japan
Duration: 9-Jul-202314-Jul-2023
https://www.ifac-control.org/conferences/ifac-world-congress-22nd-wc-2023tm

Conference

Conference22nd International Federation of Automatic Control World Congress (IFAC WC 2023)
Country/TerritoryJapan
CityYokohama
Period09/07/202314/07/2023
Internet address

Keywords

  • Energy systems, Networked systems, Passivity-based control

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