Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation

Authors

Johannes Schiffer, Emilia Fridman, Romeo Ortega, Jörg Raisch

Abstract

Motivated by the problem of stability in droop-controlled microgrids with delays, we consider a class of port-Hamiltonian systems with delayed interconnection matrices. For this class of systems, delay-dependent stability conditions are derived via the Lyapunov–Krasovskii method. The theoretical results are applied to an exemplary microgrid with distributed rotational and electronic generation and illustrated via a simulation example. The stability analysis is complemented by providing an estimate of the region of attraction of a microgrid with delays.

Keywords

Microgrid control; Microgrid stability; Smart grid applications; Droop control; port-Hamiltonian systems; Time delay systems; Lyapunov–Krasovskii functionals

Citation

• Journal: Automatica
• Year: 2016
• Volume: 74
• Issue:
• Pages: 71–79
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2016.07.022

BibTeX

@article{Schiffer_2016,
  title={{Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation}},
  volume={74},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2016.07.022},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Schiffer, Johannes and Fridman, Emilia and Ortega, Romeo and Raisch, Jörg},
  year={2016},
  pages={71--79}
}

Download the bib file

References

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