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State-Space Approximation of Convolution Term in Time Domain Analysis of a Raft-Type Wave Energy Converter

Author

Listed:
  • Changhai Liu

    (Department of Fluid Control and Automation, Harbin Institute of Technology, Harbin 150001, China)

  • Qingjun Yang

    (Department of Fluid Control and Automation, Harbin Institute of Technology, Harbin 150001, China)

  • Gang Bao

    (Department of Fluid Control and Automation, Harbin Institute of Technology, Harbin 150001, China)

Abstract

Two methods, frequency domain analysis and time domain analysis, are widely applied to modeling wave energy converters (WECs). Frequency domain analysis can evaluate the performance of WECs quickly and efficiently, while it refers to a linear model. When it comes to investigations on nonlinear characteristics of the power take-off (PTO) unit of WECs or control for improving the WECs’ performance, time domain analysis based on a state-space approximation for the convolution term is more desirable. In this paper, a state-space approximation of the convolution term in a time domain analysis of a raft-type WEC consisting of two rafts and a PTO unit is presented. The state-space model is identified through regression in the frequency domain. Verification of such a type of time domain analysis is conducted by comparison of its simulation results with those calculated by using a frequency domain analysis, and there is a good agreement. Finally, the effects of PTO parameters, wave frequency, surge and heave motions of the joint, and quadratic damping PTO on the power capture ability of the raft-type WEC are investigated.

Suggested Citation

  • Changhai Liu & Qingjun Yang & Gang Bao, 2018. "State-Space Approximation of Convolution Term in Time Domain Analysis of a Raft-Type Wave Energy Converter," Energies, MDPI, vol. 11(1), pages 1-22, January.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:1:p:169-:d:126316
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    References listed on IDEAS

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    1. Henderson, Ross, 2006. "Design, simulation, and testing of a novel hydraulic power take-off system for the Pelamis wave energy converter," Renewable Energy, Elsevier, vol. 31(2), pages 271-283.
    2. Retzler, Chris, 2006. "Measurements of the slow drift dynamics of a model Pelamis wave energy converter," Renewable Energy, Elsevier, vol. 31(2), pages 257-269.
    3. López, Iraide & Andreu, Jon & Ceballos, Salvador & Martínez de Alegría, Iñigo & Kortabarria, Iñigo, 2013. "Review of wave energy technologies and the necessary power-equipment," Renewable and Sustainable Energy Reviews, Elsevier, vol. 27(C), pages 413-434.
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    Cited by:

    1. Liu, Changhai & Hu, Min & Gao, Wenzhi & Chen, Jian & Zeng, Yishan & Wei, Daozhu & Yang, Qingjun & Bao, Gang, 2021. "A high-precise model for the hydraulic power take-off of a raft-type wave energy converter," Energy, Elsevier, vol. 215(PA).
    2. Iida, Takahito, 2023. "Decomposition and prediction of initial uniform bi-directional water waves using an array of wave-rider buoys," Renewable Energy, Elsevier, vol. 217(C).
    3. Chen, Weixing & Lin, Xiongsen & Lu, Yunfei & Li, Shaoxun & Wang, Lucai & Zhang, Yongkuang & Gao, Feng, 2023. "Design and experiment of a double-wing wave energy converter," Renewable Energy, Elsevier, vol. 202(C), pages 1497-1506.

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