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Delays and Interconnections: Methodology, Algorithms and Applications pp 199–214Cite as

Wave Equation Modelling and Freeness Properties for Wind Power Systems

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Part of the Advances in Delays and Dynamics book series (ADVSDD,volume 10)

Abstract

We examine two wave equation models for strings of generators connected to a wind farm. The first one, with point source boundary condition leads to a purely discrete system, i.e. a delay system without (continuous) dynamics; the second one, with power flow boundary condition is equivalent to a neutral delay system. We then investigate the differential flatness of the systems.

Keywords

  • Infinite dimensional systems
  • rings
  • modules
  • controllability
  • differential flatness
  • wave equation
  • wind power systems

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Author information

Authors and Affiliations

  1. Laboratoire des Signaux et Systèmes, CentraleSupélec, 3, rue Joliot Curie, 91192, Gif sur Yvette, France

    Hugues Mounier & Luca Greco

Authors
  1. Hugues Mounier
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  2. Luca Greco
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Corresponding author

Correspondence to Hugues Mounier .

Editor information

Editors and Affiliations

  1. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

    Prof. Giorgio Valmorbida

  2. Laboratoire d’Analyse et d’Architecture de Systèmes-CNRS, Toulouse, France

    Dr. Alexandre Seuret

  3. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

    Islam Boussaada

  4. Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA

    Prof. Rifat Sipahi

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Mounier, H., Greco, L. (2019). Wave Equation Modelling and Freeness Properties for Wind Power Systems. In: Valmorbida, G., Seuret, A., Boussaada, I., Sipahi, R. (eds) Delays and Interconnections: Methodology, Algorithms and Applications. Advances in Delays and Dynamics, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-11554-8_13

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