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Analyzing the Near-Field Effects and the Power Production of an Array of Heaving Cylindrical WECs and OSWECs Using a Coupled Hydrodynamic-PTO Model

Author

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  • Philip Balitsky

    (Department of Civil Engineering, Ghent University, Technologiepark 60, B-9052 Ghent, Belgium)

  • Nicolas Quartier

    (Department of Civil Engineering, Ghent University, Technologiepark 60, B-9052 Ghent, Belgium)

  • Gael Verao Fernandez

    (Department of Civil Engineering, Ghent University, Technologiepark 60, B-9052 Ghent, Belgium)

  • Vasiliki Stratigaki

    (Department of Civil Engineering, Ghent University, Technologiepark 60, B-9052 Ghent, Belgium)

  • Peter Troch

    (Department of Civil Engineering, Ghent University, Technologiepark 60, B-9052 Ghent, Belgium)

Abstract

The Power Take-Off (PTO) system is the key component of a Wave Energy Converter (WEC) that distinguishes it from a simple floating body because the uptake of the energy by the PTO system modifies the wave field surrounding the WEC. Consequently, the choice of a proper PTO model of a WEC is a key factor in the accuracy of a numerical model that serves to validate the economic impact of a wave energy project. Simultaneously, the given numerical model needs to simulate many WEC units operating in close proximity in a WEC farm, as such conglomerations are seen by the wave energy industry as the path to economic viability. A balance must therefore be struck between an accurate PTO model and the numerical cost of running it for various WEC farm configurations to test the viability of any given WEC farm project. Because hydrodynamic interaction between the WECs in a farm modifies the incoming wave field, both the power output of a WEC farm and the surface elevations in the ‘near field’ area will be affected. For certain types of WECs, namely heaving cylindrical WECs, the PTO system strongly modifies the motion of the WECs. Consequently, the choice of a PTO system affects both the power production and the surface elevations in the ‘near field’ of a WEC farm. In this paper, we investigate the effect of a PTO system for a small wave farm that we term ‘WEC array’ of 5 WECs of two types: a heaving cylindrical WEC and an Oscillating Surge Wave Energy Converter (OSWEC). These WECs are positioned in a staggered array configuration designed to extract the maximum power from the incident waves. The PTO system is modelled in WEC-Sim, a purpose-built WEC dynamics simulator. The PTO system is coupled to the open-source wave structure interaction solver NEMOH to calculate the average wave field η in the ‘near-field’. Using a WEC-specific novel PTO system model, the effect of a hydraulic PTO system on the WEC array power production and the near-field is compared to that of a linear PTO system. Results are given for a series of regular wave conditions for a single WEC and subsequently extended to a 5-WEC array. We demonstrate the quantitative and qualitative differences in the power and the ‘near-field’ effects between a 5-heaving cylindrical WEC array and a 5-OSWEC array. Furthermore, we show that modeling a hydraulic PTO system as a linear PTO system in the case of a heaving cylindrical WEC leads to considerable inaccuracies in the calculation of average absorbed power, but not in the near-field surface elevations. Yet, in the case of an OSWEC, a hydraulic PTO system cannot be reduced to a linear PTO coefficient without introducing substantial inaccuracies into both the array power output and the near-field effects. We discuss the implications of our results compared to previous research on WEC arrays which used simplified linear coefficients as a proxy for PTO systems.

Suggested Citation

  • Philip Balitsky & Nicolas Quartier & Gael Verao Fernandez & Vasiliki Stratigaki & Peter Troch, 2018. "Analyzing the Near-Field Effects and the Power Production of an Array of Heaving Cylindrical WECs and OSWECs Using a Coupled Hydrodynamic-PTO Model," Energies, MDPI, vol. 11(12), pages 1-32, December.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:12:p:3489-:d:190552
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    References listed on IDEAS

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    1. Vasiliki Stratigaki & Peter Troch & Tim Stallard & David Forehand & Jens Peter Kofoed & Matt Folley & Michel Benoit & Aurélien Babarit & Jens Kirkegaard, 2014. "Wave Basin Experiments with Large Wave Energy Converter Arrays to Study Interactions between the Converters and Effects on Other Users in the Sea and the Coastal Area," Energies, MDPI, vol. 7(2), pages 1-34, February.
    2. Brecht Devolder & Vasiliki Stratigaki & Peter Troch & Pieter Rauwoens, 2018. "CFD Simulations of Floating Point Absorber Wave Energy Converter Arrays Subjected to Regular Waves," Energies, MDPI, vol. 11(3), pages 1-23, March.
    3. Pau Mercadé Ruiz & Vincenzo Nava & Mathew B. R. Topper & Pablo Ruiz Minguela & Francesco Ferri & Jens Peter Kofoed, 2017. "Layout Optimisation of Wave Energy Converter Arrays," Energies, MDPI, vol. 10(9), pages 1-17, August.
    4. Tim Verbrugghe & Vicky Stratigaki & Peter Troch & Raphael Rabussier & Andreas Kortenhaus, 2017. "A Comparison Study of a Generic Coupling Methodology for Modeling Wake Effects of Wave Energy Converter Arrays," Energies, MDPI, vol. 10(11), pages 1-25, October.
    5. Philip Balitsky & Gael Verao Fernandez & Vasiliki Stratigaki & Peter Troch, 2018. "Assessment of the Power Output of a Two-Array Clustered WEC Farm Using a BEM Solver Coupling and a Wave-Propagation Model," Energies, MDPI, vol. 11(11), pages 1-23, October.
    6. Shadman, Milad & Estefen, Segen F. & Rodriguez, Claudio A. & Nogueira, Izabel C.M., 2018. "A geometrical optimization method applied to a heaving point absorber wave energy converter," Renewable Energy, Elsevier, vol. 115(C), pages 533-546.
    7. 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.
    8. Babarit, A., 2013. "On the park effect in arrays of oscillating wave energy converters," Renewable Energy, Elsevier, vol. 58(C), pages 68-78.
    9. Pau Mercadé Ruiz & Francesco Ferri & Jens Peter Kofoed, 2017. "Experimental Validation of a Wave Energy Converter Array Hydrodynamics Tool," Sustainability, MDPI, vol. 9(1), pages 1-20, January.
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    Cited by:

    1. Quartier, Nicolas & Vervaet, Timothy & Fernandez, Gael Verao & Domínguez, José M. & Crespo, Alejandro J.C. & Stratigaki, Vasiliki & Troch, Peter, 2024. "High-fidelity numerical modelling of a two-WEC array with accurate implementation of the PTO system and control strategy using DualSPHysics," Energy, Elsevier, vol. 296(C).
    2. Marios Charilaos Sousounis & Jonathan Shek, 2019. "Wave-to-Wire Power Maximization Control for All-Electric Wave Energy Converters with Non-Ideal Power Take-Off," Energies, MDPI, vol. 12(15), pages 1-27, July.
    3. Markos Bonovas & Kostas Belibassakis & Eugen Rusu, 2019. "Multi-DOF WEC Performance in Variable Bathymetry Regions Using a Hybrid 3D BEM and Optimization," Energies, MDPI, vol. 12(11), pages 1-18, June.
    4. Rusu, Liliana, 2019. "Evaluation of the near future wave energy resources in the Black Sea under two climate scenarios," Renewable Energy, Elsevier, vol. 142(C), pages 137-146.

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