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    Receding-Horizon Pseudo-spectral Control of Wave Energy Converters Using Periodic Basis Functions


    Auger, Clément and Mérigaud, Alexis and Ringwood, John (2018) Receding-Horizon Pseudo-spectral Control of Wave Energy Converters Using Periodic Basis Functions. IEEE Transactions on Sustainable Energy, 10 (4). pp. 1644-1652. ISSN 1949-3029

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    Abstract

    Power-maximising control of wave energy converters (WECs) can be implemented within a receding-horizon (RH) framework, whereby the reference force or velocity trajectory is updated in real-time by a feed-forward control (FFC) algorithm. For the computation of optimal WEC trajectories and control forces, Fourier pseudo-spectral (PS) control, using periodic basis functions, is simple and computationally attractive, for both linear and non-linear WEC dynamics. However, the finite-length wave excitation signal, as seen by the FFC, is in general nonperiodic. In this paper, it is shown that, despite the nonperiodicity of the input wave signal, a simple Fourier PS method can be successfully used as a FFC algorithm, by applying suitable windowing functions to the input signal when necessary. Furthermore, a simple wave forecasting algorithm is introduced, solely based on past values of the wave excitation, and the impact of wave forecast errors on the controller performance is investigated. Overall, with or without forecast errors, the proposed approach allows for power absorption above 99% of the optimum, for a forecasting horizon of less than 30 seconds for a linear WEC model, and less than 15 seconds for a non-linear WEC model including a quadratic viscous drag term.

    Item Type: Article
    Additional Information: This is the postprint version of the published article. Content may have changed prior to final publication. Citation information: DOI 10.1109/TSTE.2018.2868546, IEEE Transactions on Sustainable Energy
    Keywords: Wave energy converters; optimal control; power maximisation; receding-horizon control; Fourier pseudo-spectral methods; wave forecasting;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Centre for Ocean Energy Research
    Item ID: 12417
    Identification Number: https://doi.org/10.1109/TSTE.2018.2868546
    Depositing User: Professor John Ringwood
    Date Deposited: 10 Feb 2020 15:39
    Journal or Publication Title: IEEE Transactions on Sustainable Energy
    Publisher: Institute of Electrical and Electronics Engineers (IEEE)
    Refereed: Yes
    Funders: Science Foundation Ireland (SFI)
    URI:

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