Modeling and passivity properties of multi-producer district heating systems

Juan E. Machado*, Michele Cucuzzella, Jacquelien M.A. Scherpen

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)
72 Downloads (Pure)

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
Article number110397
Number of pages9
JournalAutomatica
Volume142
DOIs
Publication statusPublished - Aug-2022
EventEuropean Control Conference 2021 - Rotterdam, Netherlands
Duration: 29-Jun-20212-Jul-2021
https://ecc21.euca-ecc.org

Keywords

  • District heating
  • Modeling
  • Shifted passivity

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