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A Compendium of Formulae for Natural Frequencies of Offshore Wind Turbine Structures

Author

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  • Ramon Varghese

    (UCD Centre for Mechanics, Dynamical Systems and Risk Laboratory, School of Mechanical and Materials Engineering, University College Dublin, D04 V1W8 Dublin, Ireland
    SFI MaREI Centre UCD, UCD Energy Institute, University College Dublin, D04 V1W8 Dublin, Ireland)

  • Vikram Pakrashi

    (UCD Centre for Mechanics, Dynamical Systems and Risk Laboratory, School of Mechanical and Materials Engineering, University College Dublin, D04 V1W8 Dublin, Ireland
    SFI MaREI Centre UCD, UCD Energy Institute, University College Dublin, D04 V1W8 Dublin, Ireland)

  • Subhamoy Bhattacharya

    (Department of Civil and Environmental Engineering, University of Surrey, Guildford GU2 7XH, UK)

Abstract

The design of an offshore wind turbine system varies with the turbine capacity, water depth, and environmental loads. The natural frequency of the structure, considering foundation flexibility, forms an important factor in structural design, lifetime performance estimates, and cost estimates. Although nonlinear numerical analysis in the time domain is widely used in the offshore industry for detailed design, it becomes necessary for project planners to estimate the natural frequency at an earlier stage and rapidly within reasonable accuracy. This paper presents a compendium of mathematical expressions to compute the natural frequencies of offshore wind turbine (OWT) structures on various foundation types by assimilating analytical solutions for each type of OWT, obtained by a range of authors over the past decade. The calculations presented can be easily made using spreadsheets. Example calculations are also presented where the compiled solutions are compared against publicly available sources.

Suggested Citation

  • Ramon Varghese & Vikram Pakrashi & Subhamoy Bhattacharya, 2022. "A Compendium of Formulae for Natural Frequencies of Offshore Wind Turbine Structures," Energies, MDPI, vol. 15(8), pages 1-31, April.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:8:p:2967-:d:796606
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    References listed on IDEAS

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    1. Liu, Yichao & Li, Sunwei & Yi, Qian & Chen, Daoyi, 2016. "Developments in semi-submersible floating foundations supporting wind turbines: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 433-449.
    2. Buckley, Tadhg & Watson, Phoebe & Cahill, Paul & Jaksic, Vesna & Pakrashi, Vikram, 2018. "Mitigating the structural vibrations of wind turbines using tuned liquid column damper considering soil-structure interaction," Renewable Energy, Elsevier, vol. 120(C), pages 322-341.
    3. O’Kelly-Lynch, Patrick & Long, Cian & McAuliffe, Fiona Devoy & Murphy, Jimmy & Pakrashi, Vikram, 2020. "Structural design implications of combining a point absorber with a wind turbine monopile for the east and west coast of Ireland," Renewable and Sustainable Energy Reviews, Elsevier, vol. 119(C).
    4. Srikanth Bashetty & Selahattin Ozcelik, 2021. "Review on Dynamics of Offshore Floating Wind Turbine Platforms," Energies, MDPI, vol. 14(19), pages 1-30, September.
    5. O'Leary, Kieran & Pakrashi, Vikram & Kelliher, Denis, 2019. "Optimization of composite material tower for offshore wind turbine structures," Renewable Energy, Elsevier, vol. 140(C), pages 928-942.
    6. Lorenzo Cottura & Riccardo Caradonna & Alberto Ghigo & Riccardo Novo & Giovanni Bracco & Giuliana Mattiazzo, 2021. "Dynamic Modeling of an Offshore Floating Wind Turbine for Application in the Mediterranean Sea," Energies, MDPI, vol. 14(1), pages 1-34, January.
    7. Moo-Sung Ryu & Min-Uk Jung & Jun-Shin Lee & Dong-Soo Kim, 2020. "Closed Form Solutions for Predicting Lateral Response of Tripod Suction Pile for Offshore Wind Turbine Foundation," Energies, MDPI, vol. 13(23), pages 1-26, November.
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    1. Bonaventura Tagliafierro & Madjid Karimirad & Iván Martínez-Estévez & José M. Domínguez & Giacomo Viccione & Alejandro J. C. Crespo, 2022. "Numerical Assessment of a Tension-Leg Platform Wind Turbine in Intermediate Water Using the Smoothed Particle Hydrodynamics Method," Energies, MDPI, vol. 15(11), pages 1-23, May.

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