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Modelling, control and Pontryagin Maximum Principle for a two-body wave energy device

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  • Cândido, José J.
  • Justino, Paulo A.P.S.

Abstract

Frequency-domain analysis is applied to a wave energy device composed of two coaxial axisymmetric bodies. For each frequency optimal damping coefficient values which maximize absorbed power are obtained. Several displacement amplitude restriction scenarios are considered. A stochastic model to describe the device’s behaviour in irregular waves is developed. Optimal mechanical damping and spring coefficients are computed. Considering different sea state conditions, probability density functions are defined for relevant parameters and time-averaged absorbed power values are obtained.

Suggested Citation

  • Cândido, José J. & Justino, Paulo A.P.S., 2011. "Modelling, control and Pontryagin Maximum Principle for a two-body wave energy device," Renewable Energy, Elsevier, vol. 36(5), pages 1545-1557.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:5:p:1545-1557
    DOI: 10.1016/j.renene.2010.11.013
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    Citations

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    Cited by:

    1. Marcos Blanco & Pablo Moreno-Torres & Marcos Lafoz & Dionisio Ramírez, 2015. "Design Parameters Analysis of Point Absorber WEC via an evolutionary-algorithm-based Dimensioning Tool," Energies, MDPI, vol. 8(10), pages 1-31, October.
    2. Henriques, J.C.C. & Portillo, J.C.C. & Sheng, W. & Gato, L.M.C. & Falcão, A.F.O., 2019. "Dynamics and control of air turbines in oscillating-water-column wave energy converters: Analyses and case study," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 571-589.
    3. Cai, Qinlin & Zhu, Songye, 2021. "Applying double-mass pendulum oscillator with tunable ultra-low frequency in wave energy converters," Applied Energy, Elsevier, vol. 298(C).
    4. Khojasteh, Danial & Kamali, Reza, 2016. "Evaluation of wave energy absorption by heaving point absorbers at various hot spots in Iran seas," Energy, Elsevier, vol. 109(C), pages 629-640.
    5. 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.
    6. Li, Xiaofan & Liang, Changwei & Chen, Chien-An & Xiong, Qiuchi & Parker, Robert G. & Zuo, Lei, 2020. "Optimum power analysis of a self-reactive wave energy point absorber with mechanically-driven power take-offs," Energy, Elsevier, vol. 195(C).
    7. Jinming Wu & Zhonghua Ni, 2020. "On the Design of an Integrated System for Wave Energy Conversion Purpose with the Reaction Mass on Board," Sustainability, MDPI, vol. 12(7), pages 1-16, April.
    8. Ozkop, Emre & Altas, Ismail H., 2017. "Control, power and electrical components in wave energy conversion systems: A review of the technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 106-115.

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