Passivity-Based Stability Analysis of Hydraulic Equilibria in 4th Generation District Heating Networks

Authors

Felix Strehle, Jonathan Vieth, Martin Pfeifer, Sören Hohmann

Abstract

In this paper, we analyze the stability of hydraulic, i.e. pressure and flow, equilibria in 4th generation district heating networks (DHNs). We consider the hydraulic behavior of a general class of DHNs with an arbitrary number of distributed heat generation units (DGUs) and end-users connected through a network of pipes. For each subsystem, we first derive a model in form of an explicit port-Hamiltonian system with nonlinear resistive structure. Based on these models and with methods from equilibrium-independent passivity (EIP), we prove the stability of the DHN’s hydraulic equilibria. From our results, we deduce requirements for a plug-and-play control of DHNs and draw conclusions for future work.

Keywords

port-Hamiltonian systems; district heating systems; stability analysis; asymptotic stability; pressure control; decentralized control design

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 261–266
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.088
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Strehle_2021,
  title={{Passivity-Based Stability Analysis of Hydraulic Equilibria in 4th Generation District Heating Networks}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.088},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Strehle, Felix and Vieth, Jonathan and Pfeifer, Martin and Hohmann, Sören},
  year={2021},
  pages={261--266}
}

Download the bib file

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