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A Dynamic Stochastic Hybrid Model to Represent Significant Wave Height and Wave Period for Marine Energy Representation

Author

Listed:
  • Humberto Verdejo

    (Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, Chile
    These authors contributed equally to this work.)

  • Almendra Awerkin

    (Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, Chile
    These authors contributed equally to this work.)

  • Wolfgang Kliemann

    (Department of Mathematics, Iowa State University, Ames, IA 50011, USA)

  • Cristhian Becker

    (Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, Chile
    These authors contributed equally to this work.)

  • Héctor Chávez

    (Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, Chile
    These authors contributed equally to this work.)

  • Karina A. Barbosa

    (Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, Chile
    These authors contributed equally to this work.)

  • José Delpiano

    (School of Engineering and Applied Sciences, Universidad de los Andes, Santiago 7620001, Chile
    Advanced Center for Electrical and Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso 2390212, Chile)

Abstract

This paper presents a methodology to represent ocean wave power generation based on real data observation for significant wave height (SWH or H s ) and wave period (WP or T ). This technique is based on a hybrid model, which considers Fourier series and stochastic differential equations, allowing a continuous time representation of the random changes in the parameters associated with wave power generation ( H s and T ). The methodology is explained, including estimation methods and a validation procedure. The data series generated by the models erre used to create simulated wave power output applying a transformed matrix and a theoretical model. The results validate the utilization of this technique, when the objective is to obtain a robust dynamic representation of a random process, oriented to linear studies.

Suggested Citation

  • Humberto Verdejo & Almendra Awerkin & Wolfgang Kliemann & Cristhian Becker & Héctor Chávez & Karina A. Barbosa & José Delpiano, 2019. "A Dynamic Stochastic Hybrid Model to Represent Significant Wave Height and Wave Period for Marine Energy Representation," Energies, MDPI, vol. 12(5), pages 1-15, March.
  • Handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:887-:d:211866
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    References listed on IDEAS

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