Optimal power dispatch in networks of high-dimensional models of synchronous machines

Authors

Tjerk Stegink, Claudio De Persis, Arjan van der Schaft

Abstract

This paper investigates the problem of optimal frequency regulation of multi-machine power networks where each synchronous machine is described by a sixth order model. By analyzing the physical energy stored in the network and the generators, a port-Hamiltonian representation of the multi-machine system is obtained. Moreover, it is shown that the open-loop system is passive with respect to its steady states which allows the construction of passive controllers to control the multi-machine network. As a special case, a distributed consensus based controller is designed that regulates the frequency and minimizes a global quadratic generation cost in the presence of a constant unknown demand. In addition, the proposed controller allows freedom in choosing any desired connected undirected weighted communication graph.

Citation

• Journal: 2016 IEEE 55th Conference on Decision and Control (CDC)
• Year: 2016
• Volume:
• Issue:
• Pages: 4110–4115
• Publisher: IEEE
• DOI: 10.1109/cdc.2016.7798892

BibTeX

@inproceedings{Stegink_2016,
  title={{Optimal power dispatch in networks of high-dimensional models of synchronous machines}},
  DOI={10.1109/cdc.2016.7798892},
  booktitle={{2016 IEEE 55th Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Stegink, Tjerk and De Persis, Claudio and van der Schaft, Arjan},
  year={2016},
  pages={4110--4115}
}

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