Authors

Tjerk Stegink, Claudio De Persis, Arjan van der Schaft

Abstract

This paper studies the problem of frequency regulation in power grids, while maximizing the social welfare. Two price-based controllers are proposed; the first one an internal-model-based controller and the second one based on a continuous gradient method for optimization. Both controllers can be implemented in a fully distributed fashion, with freedom in choosing a controller communication network. As a result, two real-time dynamic pricing models described by port-Hamiltonian systems are obtained. By coupling with the port-Hamiltonian description of the physical network we obtain a closed-loop port-Hamiltonian system, whose properties are exploited to prove asymptotic stability of the set of optimal points. Numerical results show the performance of both controllers in a simple case study.

Citation

  • Journal: 2015 54th IEEE Conference on Decision and Control (CDC)
  • Year: 2015
  • Volume:
  • Issue:
  • Pages: 3224–3229
  • Publisher: IEEE
  • DOI: 10.1109/cdc.2015.7402703

BibTeX

@inproceedings{Stegink_2015,
  title={{A port-Hamiltonian approach to optimal frequency regulation in power grids}},
  DOI={10.1109/cdc.2015.7402703},
  booktitle={{2015 54th IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Stegink, Tjerk and De Persis, Claudio and van der Schaft, Arjan},
  year={2015},
  pages={3224--3229}
}

Download the bib file

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