Stabilization of Structure-Preserving Power Networks with Market Dynamics

Authors

Tjerk W. Stegink, Claudio De Persis, Arjan J. van der Schaft

Abstract

This paper studies the problem of maximizing the social welfare while stabilizing both the physical power network as well as the market dynamics. For the physical power grid a third-order structure-preserving model is considered involving both frequency and voltage dynamics. By applying the primal-dual gradient method to the social welfare problem, a distributed dynamic pricing algorithm in port-Hamiltonian form is obtained. After interconnection with the physical system a closed-loop port-Hamiltonian system of differential-algebraic equations is obtained, whose properties are exploited to prove local asymptotic stability of the optimal point.

Keywords

electric power systems; Lyapunov stability; distributed control; nonlinear systems; optimal power flow; gradient method; frequency regulation; passivity; dynamic pricing

Citation

Journal: IFAC-PapersOnLine
Year: 2017
Volume: 50
Issue: 1
Pages: 6737–6742
Publisher: Elsevier BV
DOI: 10.1016/j.ifacol.2017.08.1172
Note: 20th IFAC World Congress

BibTeX

@article{Stegink_2017,
  title={{Stabilization of Structure-Preserving Power Networks with Market Dynamics}},
  volume={50},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2017.08.1172},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Stegink, Tjerk W. and De Persis, Claudio and van der Schaft, Arjan J.},
  year={2017},
  pages={6737--6742}
}

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