Robustness of distributed averaging control in power systems: Time delays & dynamic communication topology

Authors

Johannes Schiffer, Florian Dörfler, Emilia Fridman

Abstract

Distributed averaging-based integral (DAI) controllers are becoming increasingly popular in power system applications. The literature has thus far primarily focused on disturbance rejection, steady-state optimality and adaption to complex physical system models without considering uncertainties on the cyber and communication layer nor their effect on robustness and performance. In this paper, we derive sufficient delay-dependent conditions for robust stability of a secondary-frequency-DAI-controlled power system with respect to heterogeneous communication delays, link failures and packet losses. Our analysis takes into account both constant as well as fast-varying delays, and it is based on a common strictly decreasing Lyapunov–Krasovskii functional. The conditions illustrate an inherent trade-off between robustness and performance of DAI controllers. The effectiveness and tightness of our stability certificates are illustrated via a numerical example based on Kundur’s four-machine-two-area test system.

Keywords

Power system stability; Cyber–physical systems; Time delays; Distributed control

Citation

Journal: Automatica
Year: 2017
Volume: 80
Issue:
Pages: 261–271
Publisher: Elsevier BV
DOI: 10.1016/j.automatica.2017.02.040

BibTeX

@article{Schiffer_2017,
  title={{Robustness of distributed averaging control in power systems: Time delays &amp; dynamic communication topology}},
  volume={80},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2017.02.040},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Schiffer, Johannes and Dörfler, Florian and Fridman, Emilia},
  year={2017},
  pages={261--271}
}

Download the bib file

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