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Optimal control of wave energy converters

Author

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  • Zou, Shangyan
  • Abdelkhalik, Ossama
  • Robinett, Rush
  • Bacelli, Giorgio
  • Wilson, David

Abstract

Optimal control theory is applied to compute control for a single-degree-of-freedom heave wave energy converter. The goal is to maximize the energy extraction per cycle. Both constrained and unconstrained optimal control problems are presented. Both periodic and non-periodic excitation forces are considered. In contrast to prior work, it is shown that for this non-autonomous system, the optimal control, in general, includes both singular arc and bang-bang modes. Conditions that determine the switching times to/from the singular arc are derived. Simulation results show that the proposed optimal control solution matches the solution obtained using the complex conjugate control. A generic linear dynamic model is used in the simulations. The main advantage of the proposed control is that it finds the optimal control without the need for wave prediction; it only requires the knowledge of the excitation force and its derivatives at the current time.

Suggested Citation

  • Zou, Shangyan & Abdelkhalik, Ossama & Robinett, Rush & Bacelli, Giorgio & Wilson, David, 2017. "Optimal control of wave energy converters," Renewable Energy, Elsevier, vol. 103(C), pages 217-225.
    • Handle: RePEc:eee:renene:v:103:y:2017:i:c:p:217-225
    DOI: 10.1016/j.renene.2016.11.036
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    References listed on IDEAS

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    1. Li, Guang & Weiss, George & Mueller, Markus & Townley, Stuart & Belmont, Mike R., 2012. "Wave energy converter control by wave prediction and dynamic programming," Renewable Energy, Elsevier, vol. 48(C), pages 392-403.
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    Cited by:

    1. Yetkin, Mertcan & Kalidoss, Sudharsan & Curtis, Frank E. & Snyder, Lawrence V. & Banerjee, Arindam, 2021. "Practical optimal control of a wave-energy converter in regular wave environments," Renewable Energy, Elsevier, vol. 171(C), pages 1382-1394.
    2. Abdelkhalik, Ossama & Zou, Shangyan, 2019. "Control of small two-body heaving wave energy converters for ocean measurement applications," Renewable Energy, Elsevier, vol. 132(C), pages 587-595.
    3. Zou, Shangyan & Song, Jiajun & Abdelkhalik, Ossama, 2023. "A sliding mode control for wave energy converters in presence of unknown noise and nonlinearities," Renewable Energy, Elsevier, vol. 202(C), pages 432-441.
    4. Zou, Shangyan & Abdelkhalik, Ossama, 2020. "Collective control in arrays of wave energy converters," Renewable Energy, Elsevier, vol. 156(C), pages 361-369.
    5. Zou, Shangyan & Abdelkhalik, Ossama, 2020. "Time-varying linear quadratic Gaussian optimal control for three-degree-of-freedom wave energy converters," Renewable Energy, Elsevier, vol. 149(C), pages 217-225.
    6. Chenhua Ni & Xiandong Ma, 2018. "Prediction of Wave Power Generation Using a Convolutional Neural Network with Multiple Inputs," Energies, MDPI, vol. 11(8), pages 1-18, August.
    7. Shabara, Mohamed A. & Abdelkhalik, Ossama, 2023. "Dynamic modeling of the motions of variable-shape wave energy converters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).

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