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Mathematical Modelling of Mooring Systems for Wave Energy Converters—A Review

Author

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  • Josh Davidson

    (Centre for Ocean Energy Research, Maynooth University, Maynooth, Co. Kildare, Ireland)

  • John V. Ringwood

    (Centre for Ocean Energy Research, Maynooth University, Maynooth, Co. Kildare, Ireland)

Abstract

Mathematical analysis is an essential tool for the successful development and operation of wave energy converters (WECs). Mathematical models of moorings systems are therefore a requisite in the overall techno-economic design and operation of floating WECs. Mooring models (MMs) can be applied to a range of areas, such as WEC simulation, performance evaluation and optimisation, control design and implementation, extreme load calculation, mooring line fatigue life evaluation, mooring design, and array layout optimisation. The mathematical modelling of mooring systems is a venture from physics to numerics, and as such, there are a broad range of details to consider when applying MMs to WEC analysis. A large body of work exists on MMs, developed within other related ocean engineering fields, due to the common requirement of mooring floating bodies, such as vessels and offshore oil and gas platforms. This paper reviews the mathematical modelling of the mooring systems for WECs, detailing the relevant material developed in other offshore industries and presenting the published usage of MMs for WEC analysis.

Suggested Citation

  • Josh Davidson & John V. Ringwood, 2017. "Mathematical Modelling of Mooring Systems for Wave Energy Converters—A Review," Energies, MDPI, vol. 10(5), pages 1-46, May.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:5:p:666-:d:98231
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    1. Mohammed Jama & Addy Wahyudie & Ali Assi & Hassan Noura, 2014. "An Intelligent Fuzzy Logic Controller for Maximum Power Capture of Point Absorbers," Energies, MDPI, vol. 7(6), pages 1-21, June.
    2. McCabe, A.P. & Bradshaw, A. & Meadowcroft, J.A.C. & Aggidis, G., 2006. "Developments in the design of the PS Frog Mk 5 wave energy converter," Renewable Energy, Elsevier, vol. 31(2), pages 141-151.
    3. 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.
    4. Harnois, V. & Weller, S.D. & Johanning, L. & Thies, P.R. & Le Boulluec, M. & Le Roux, D. & Soulé, V. & Ohana, J., 2015. "Numerical model validation for mooring systems: Method and application for wave energy converters," Renewable Energy, Elsevier, vol. 75(C), pages 869-887.
    5. O.M. Aamo & T.I. Fossen, 2001. "Finite Element Modelling of Moored Vessels," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 7(1), pages 47-75, March.
    6. Markel Penalba & John V. Ringwood, 2016. "A Review of Wave-to-Wire Models for Wave Energy Converters," Energies, MDPI, vol. 9(7), pages 1-45, June.
    7. Thies, Philipp R. & Johanning, Lars & Harnois, Violette & Smith, Helen C.M. & Parish, David N., 2014. "Mooring line fatigue damage evaluation for floating marine energy converters: Field measurements and prediction," Renewable Energy, Elsevier, vol. 63(C), pages 133-144.
    8. Aamo, O.M. & Fossen, T.I., 2000. "Finite element modelling of mooring lines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(4), pages 415-422.
    9. Francesco Ferri & Simon Ambühl & Boris Fischer & Jens Peter Kofoed, 2014. "Balancing Power Output and Structural Fatigue of Wave Energy Converters by Means of Control Strategies," Energies, MDPI, vol. 7(4), pages 1-28, April.
    10. Bachynski, Erin E. & Young, Yin Lu & Yeung, Ronald W., 2012. "Analysis and optimization of a tethered wave energy converter in irregular waves," Renewable Energy, Elsevier, vol. 48(C), pages 133-145.
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    2. Gomes, Rui P.F. & Gato, Luís M.C. & Henriques, João C.C. & Portillo, Juan C.C. & Howey, Ben D. & Collins, Keri M. & Hann, Martyn R. & Greaves, Deborah M., 2020. "Compact floating wave energy converters arrays: Mooring loads and survivability through scale physical modelling," Applied Energy, Elsevier, vol. 280(C).
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    4. Windt, Christian & Davidson, Josh & Ringwood, John V., 2018. "High-fidelity numerical modelling of ocean wave energy systems: A review of computational fluid dynamics-based numerical wave tanks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 93(C), pages 610-630.
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    6. Dimitrios N. Konispoliatis & Anargyros S. Mavrakos, 2025. "Comparative Analysis of Catenary and TLP Mooring Systems on the Wave Power Efficiency for a Dual-Chamber OWC Wave Energy Converter," Energies, MDPI, vol. 18(6), pages 1-36, March.
    7. Eirini Katsidoniotaki & Foivos Psarommatis & Malin Göteman, 2022. "Digital Twin for the Prediction of Extreme Loads on a Wave Energy Conversion System," Energies, MDPI, vol. 15(15), pages 1-24, July.
    8. Papini, Guglielmo & Paduano, Bruno & Pasta, Edoardo & Carapellese, Fabio & Mattiazzo, Giuliana & Faedo, Nicolás, 2023. "On the influence of mooring systems in optimal predictive control for wave energy converters," Renewable Energy, Elsevier, vol. 218(C).
    9. Gubesch, Eric & Abdussamie, Nagi & Penesis, Irene & Chin, Christopher, 2022. "Effects of mooring configurations on the hydrodynamic performance of a floating offshore oscillating water column wave energy converter," Renewable and Sustainable Energy Reviews, Elsevier, vol. 166(C).
    10. Oikonomou, C.L.G. & Gomes, R.P.F. & Gato, L.M.C. & Falcão, A.F.O., 2020. "On the dynamics of an array of spar-buoy oscillating water column devices with inter-body mooring connections," Renewable Energy, Elsevier, vol. 148(C), pages 309-325.
    11. Housner, Stein & Hall, Matthew & Tran, Thanh Toan & de Miguel Para, Borja & Maeso, Aimar, 2024. "Shared mooring system designs and cost estimates for wave energy arrays," Renewable Energy, Elsevier, vol. 231(C).
    12. Matthew Leary & Curtis Rusch & Zhe Zhang & Bryson Robertson, 2021. "Comparison and Validation of Hydrodynamic Theories for Wave Energy Converter Modelling," Energies, MDPI, vol. 14(13), pages 1-18, July.
    13. Paduano, Bruno & Parrinello, Luca & Niosi, Francesco & Dell’Edera, Oronzo & Sirigu, Sergej Antonello & Faedo, Nicolás & Mattiazzo, Giuliana, 2024. "Towards standardised design of wave energy converters: A high-fidelity modelling approach," Renewable Energy, Elsevier, vol. 224(C).
    14. Xu, Sheng & Wang, Shan & Guedes Soares, C., 2019. "Review of mooring design for floating wave energy converters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 111(C), pages 595-621.
    15. Glavind, Sebastian T. & Sepulveda, Juan G. & Faber, Michael H., 2022. "On a simple scheme for systems modeling and identification using big data techniques," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    16. Luca Martinelli & Barbara Zanuttigh, 2018. "Effects of Mooring Compliancy on the Mooring Forces, Power Production, and Dynamics of a Floating Wave Activated Body Energy Converter," Energies, MDPI, vol. 11(12), pages 1-24, December.
    17. Penalba, Markel & Davidson, Josh & Windt, Christian & Ringwood, John V., 2018. "A high-fidelity wave-to-wire simulation platform for wave energy converters: Coupled numerical wave tank and power take-off models," Applied Energy, Elsevier, vol. 226(C), pages 655-669.
    18. Tagliafierro, Bonaventura & Martínez-Estévez, Iván & Domínguez, José M. & Crespo, Alejandro J.C. & Göteman, Malin & Engström, Jens & Gómez-Gesteira, Moncho, 2022. "A numerical study of a taut-moored point-absorber wave energy converter with a linear power take-off system under extreme wave conditions," Applied Energy, Elsevier, vol. 311(C).

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