IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v10y2017i5p666-d98231.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/10/5/666/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/10/5/666/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    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.
    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. Jonas Bjerg Thomsen & Francesco Ferri & Jens Peter Kofoed & Kevin Black, 2018. "Cost Optimization of Mooring Solutions for Large Floating Wave Energy Converters," Energies, MDPI, vol. 11(1), pages 1-23, January.
    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).
    3. Anton Beláň & Boris Cintula & Matej Cenký & Peter Janiga & Jozef Bendík & Žaneta Eleschová & Adam Šimurka, 2021. "Measurement of Static Frequency Characteristics of Home Appliances in Smart Grid Systems," Energies, MDPI, vol. 14(6), pages 1-17, March.
    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.
    5. Zhang, Jincheng & Zhao, Xiaowei & Greaves, Deborah & Jin, Siya, 2023. "Modeling of a hinged-raft wave energy converter via deep operator learning and wave tank experiments," Applied Energy, Elsevier, vol. 341(C).
    6. 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.
    7. 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).
    8. 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).
    9. 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.
    10. 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.
    11. 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).
    12. 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.
    13. 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).
    14. 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.
    15. 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.
    16. 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).

    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. 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.
    2. Tunde Aderinto & Hua Li, 2019. "Review on Power Performance and Efficiency of Wave Energy Converters," Energies, MDPI, vol. 12(22), pages 1-24, November.
    3. Zhang, H. & Aggidis, G.A., 2018. "Nature rules hidden in the biomimetic wave energy converters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 97(C), pages 28-37.
    4. Chen, Zhongfei & Zhou, Binzhen & Zhang, Liang & Li, Can & Zang, Jun & Zheng, Xiongbo & Xu, Jianan & Zhang, Wanchao, 2018. "Experimental and numerical study on a novel dual-resonance wave energy converter with a built-in power take-off system," Energy, Elsevier, vol. 165(PA), pages 1008-1020.
    5. Sun, Pengyuan & Liu, Senming & He, Hongzhou & Zhao, Yingru & Zheng, Songgen & Chen, Hu & Yang, Shaohui, 2021. "Simulated and experimental investigation of a floating-array-buoys wave energy converter with single-point mooring," Renewable Energy, Elsevier, vol. 176(C), pages 637-650.
    6. Ryan G. Coe & Yi-Hsiang Yu & Jennifer Van Rij, 2017. "A Survey of WEC Reliability, Survival and Design Practices," Energies, MDPI, vol. 11(1), pages 1-19, December.
    7. Guo, Bingyong & Ringwood, John V., 2021. "Geometric optimisation of wave energy conversion devices: A survey," Applied Energy, Elsevier, vol. 297(C).
    8. Carpintero Moreno, Efrain & Stansby, Peter, 2019. "The 6-float wave energy converter M4: Ocean basin tests giving capture width, response and energy yield for several sites," Renewable and Sustainable Energy Reviews, Elsevier, vol. 104(C), pages 307-318.
    9. O'Sullivan, Adrian C.M. & Lightbody, Gordon, 2017. "Co-design of a wave energy converter using constrained predictive control," Renewable Energy, Elsevier, vol. 102(PA), pages 142-156.
    10. Sergiienko, N.Y. & Cazzolato, B.S. & Ding, B. & Arjomandi, M., 2016. "An optimal arrangement of mooring lines for the three-tether submerged point-absorbing wave energy converter," Renewable Energy, Elsevier, vol. 93(C), pages 27-37.
    11. Hayrettin Bora Karayaka & Yi-Hsiang Yu & Eduard Muljadi, 2021. "Investigations into Balancing Peak-to-Average Power Ratio and Mean Power Extraction for a Two-Body Point-Absorber Wave Energy Converter," Energies, MDPI, vol. 14(12), pages 1-24, June.
    12. Luana Gurnari & Pasquale G. F. Filianoti & Marco Torresi & Sergio M. Camporeale, 2020. "The Wave-to-Wire Energy Conversion Process for a Fixed U-OWC Device," Energies, MDPI, vol. 13(1), pages 1-25, January.
    13. Stansby, P. & Carpintero Moreno, E. & Stallard, T. & Maggi, A., 2015. "Three-float broad-band resonant line absorber with surge for wave energy conversion," Renewable Energy, Elsevier, vol. 78(C), pages 132-140.
    14. Pasta, Edoardo & Faedo, Nicolás & Mattiazzo, Giuliana & Ringwood, John V., 2023. "Towards data-driven and data-based control of wave energy systems: Classification, overview, and critical assessment," Renewable and Sustainable Energy Reviews, Elsevier, vol. 188(C).
    15. Luca Martinelli & Giulio Capovilla & Matteo Volpato & Piero Ruol & Chiara Favaretto & Eva Loukogeorgaki & Mauro Andriollo, 2023. "Experimental Investigation of a Hybrid Device Combining a Wave Energy Converter and a Floating Breakwater in a Wave Flume Equipped with a Controllable Actuator," Energies, MDPI, vol. 17(1), pages 1-18, December.
    16. Cai, Qinlin & Zhu, Songye, 2021. "Applying double-mass pendulum oscillator with tunable ultra-low frequency in wave energy converters," Applied Energy, Elsevier, vol. 298(C).
    17. Chen, Ming & Vivekanandan, Rakesh & Rusch, Curtis J. & Okushemiya, David & Manalang, Dana & Robertson, Bryson & Hollinger, Geoffrey A., 2024. "A unified simulation framework for wave energy powered underwater vehicle docking and charging," Applied Energy, Elsevier, vol. 361(C).
    18. Ozkop, Emre & Altas, Ismail H., 2017. "Control, power and electrical components in wave energy conversion systems: A review of the technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 106-115.
    19. Bonovas, Markos I. & Anagnostopoulos, Ioannis S., 2020. "Modelling of operation and optimum design of a wave power take-off system with energy storage," Renewable Energy, Elsevier, vol. 147(P1), pages 502-514.
    20. Burgaç, Alper & Yavuz, Hakan, 2019. "Fuzzy Logic based hybrid type control implementation of a heaving wave energy converter," Energy, Elsevier, vol. 170(C), pages 1202-1214.

    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:10:y:2017:i:5:p:666-:d:98231. 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.