IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i8p2967-d796606.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/8/2967/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/8/2967/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Deirdre O’Donnell & Jimmy Murphy & Vikram Pakrashi, 2020. "Damage Monitoring of a Catenary Moored Spar Platform for Renewable Energy Devices," Energies, MDPI, vol. 13(14), pages 1-22, July.
    2. Srikanth Bashetty & Selahattin Ozcelik, 2021. "Review on Dynamics of Offshore Floating Wind Turbine Platforms," Energies, MDPI, vol. 14(19), pages 1-30, September.
    3. Zeng, Xinmeng & Shao, Yanlin & Feng, Xingya & Xu, Kun & Jin, Ruijia & Li, Huajun, 2024. "Nonlinear hydrodynamics of floating offshore wind turbines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 191(C).
    4. Truong, Hoai Vu Anh & Dang, Tri Dung & Vo, Cong Phat & Ahn, Kyoung Kwan, 2022. "Active control strategies for system enhancement and load mitigation of floating offshore wind turbines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 170(C).
    5. Liu, Yingzhou & Li, Xin & Shi, Wei & Wang, Wenhua & Jiang, Zhiyu, 2024. "Vibration control of a monopile offshore wind turbines under recorded seismic waves," Renewable Energy, Elsevier, vol. 226(C).
    6. Wang, Xinbao & Cai, Chang & Cai, Shang-Gui & Wang, Tengyuan & Wang, Zekun & Song, Juanjuan & Rong, Xiaomin & Li, Qing'an, 2023. "A review of aerodynamic and wake characteristics of floating offshore wind turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 175(C).
    7. Galih Bangga, 2022. "Progress and Outlook in Wind Energy Research," Energies, MDPI, vol. 15(18), pages 1-5, September.
    8. Alberto Ghigo & Emilio Faraggiana & Massimo Sirigu & Giuliana Mattiazzo & Giovanni Bracco, 2022. "Design and Analysis of a Floating Photovoltaic System for Offshore Installation: The Case Study of Lampedusa," Energies, MDPI, vol. 15(23), pages 1-30, November.
    9. Chen, Jiahao & Hu, Zhiqiang & Liu, Geliang & Wan, Decheng, 2019. "Coupled aero-hydro-servo-elastic methods for floating wind turbines," Renewable Energy, Elsevier, vol. 130(C), pages 139-153.
    10. Yang Ni & Bin Peng & Jiayao Wang & Farshad Golnary & Wei Li, 2023. "A Short Review on the Time-Domain Numerical Simulations for Structural Responses in Horizontal-Axis Offshore Wind Turbines," Sustainability, MDPI, vol. 15(24), pages 1-19, December.
    11. Wen, Binrong & Tian, Xinliang & Dong, Xingjian & Li, Zhanwei & Peng, Zhike & Zhang, Wenming & Wei, Kexiang, 2020. "Design approaches of performance-scaled rotor for wave basin model tests of floating wind turbines," Renewable Energy, Elsevier, vol. 148(C), pages 573-584.
    12. Thanh Dam Pham & Hyunkyoung Shin, 2019. "A New Conceptual Design and Dynamic Analysis of a Spar-Type Offshore Wind Turbine Combined with a Moonpool," Energies, MDPI, vol. 12(19), pages 1-15, September.
    13. Mareike Leimeister & Athanasios Kolios & Maurizio Collu, 2020. "Development and Verification of an Aero-Hydro-Servo-Elastic Coupled Model of Dynamics for FOWT, Based on the MoWiT Library," Energies, MDPI, vol. 13(8), pages 1-33, April.
    14. Papi, F. & Bianchini, A., 2022. "Technical challenges in floating offshore wind turbine upscaling: A critical analysis based on the NREL 5 MW and IEA 15 MW Reference Turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 162(C).
    15. Charalampos Baniotopoulos, 2022. "Advances in Floating Wind Energy Converters," Energies, MDPI, vol. 15(15), pages 1-3, August.
    16. Laura Castro-Santos & Almudena Filgueira-Vizoso & Carlos Álvarez-Feal & Luis Carral, 2018. "Influence of Size on the Economic Feasibility of Floating Offshore Wind Farms," Sustainability, MDPI, vol. 10(12), pages 1-13, November.
    17. Daniela Pantusa & Antonio Francone & Giuseppe Roberto Tomasicchio, 2020. "Floating Offshore Renewable Energy Farms. A Life-Cycle Cost Analysis at Brindisi, Italy," Energies, MDPI, vol. 13(22), pages 1-22, November.
    18. Diego Fernando Bernal-Camacho & Jassiel V. H. Fontes & Edgar Mendoza, 2022. "A Technical Assessment of Offshore Wind Energy in Mexico: A Case Study in Tehuantepec Gulf," Energies, MDPI, vol. 15(12), pages 1-28, June.
    19. Chen, Peng & Kang, Yirou & Xu, Shijie & Liu, Lei & Cheng, Zhengshun, 2024. "Numerical modeling and dynamic response analysis of an integrated semi-submersible floating wind and aquaculture system," Renewable Energy, Elsevier, vol. 225(C).
    20. McMorland, J. & Collu, M. & McMillan, D. & Carroll, J., 2022. "Operation and maintenance for floating wind turbines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 163(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:8:p:2967-:d:796606. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.