V. Raghavan
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Mixed wave energy arrays: Going beyond the status quo
An exploration of the hydrodynamics and techno-economics
This dissertation introduces and systematically investigates the concept of mixed wave energy arrays, in which different types of WECs operating in distinct degrees of freedom are deployed within the same array. The central hypothesis is that combining devices with complementary hydrodynamic characteristics can influence array-level power absorption, directional behaviour, and techno-economic performance relative to conventional mono-arrays. By exploiting differences in resonance behaviour, radiation characteristics, and wave-structure interaction mechanisms, mixed arrays may offer alternative pathways for improving energy capture while balancing spatial and economic constraints.
The thesis begins by introducing an accurate and computationally efficient numerical framework for analysing the hydrodynamic behaviour of both mono and mixed WEC arrays. To this end, the HAMS-MREL solver is formulated, extended, and validated for multi-body and multi-degree-of-freedom systems. The model explicitly accounts for wave-structure interactions, array effects, and directional wave incidence, enabling consistent and systematic assessment of single devices and arrays of increasing complexity. Validation against analytical solutions, experimental data, and established numerical tools, together with parallelised implementations, demonstrates the suitability of the framework for array-scale investigations.
This modelling framework is then applied to examine and compare the hydrodynamic behaviour of mono and mixed arrays in both shallow- and deep-water environments. A broad range of array configurations is considered under regular and irregular wave conditions, allowing the influence of device type, spacing, layout, and wave directionality to be assessed. The analyses provide insight into how hydrodynamic interactions and directional effects differ between mono and mixed arrays, and how these differences influence array-level behaviour across a range of operating conditions.
Finally, the hydrodynamic analyses are integrated with a techno-economic assessment of wave energy arrays. Using representative cost models and site-independent assumptions, the levelised cost of energy of mono and mixed arrays is evaluated alongside spatial performance indicators such as array footprint. This combined assessment enables a consistent comparison of alternative array concepts, highlighting the trade-offs between energy production, spatial efficiency, and economic performance in different deployment contexts.
Overall, the findings of this thesis demonstrate that mixed wave energy arrays constitute a viable alternative to conventional mono-technology deployments and merit consideration in future wave energy farm design. By jointly examining hydrodynamic behaviour, spatial characteristics, and techno-economic implications at the array scale, this work provides a structured framework for evaluating next-generation wave energy arrays. The modelling tools and insights developed in this thesis form a foundation for future optimisation studies, control integration, and site-specific assessments aimed at advancing the commercial viability of wave energy systems. ...
This dissertation introduces and systematically investigates the concept of mixed wave energy arrays, in which different types of WECs operating in distinct degrees of freedom are deployed within the same array. The central hypothesis is that combining devices with complementary hydrodynamic characteristics can influence array-level power absorption, directional behaviour, and techno-economic performance relative to conventional mono-arrays. By exploiting differences in resonance behaviour, radiation characteristics, and wave-structure interaction mechanisms, mixed arrays may offer alternative pathways for improving energy capture while balancing spatial and economic constraints.
The thesis begins by introducing an accurate and computationally efficient numerical framework for analysing the hydrodynamic behaviour of both mono and mixed WEC arrays. To this end, the HAMS-MREL solver is formulated, extended, and validated for multi-body and multi-degree-of-freedom systems. The model explicitly accounts for wave-structure interactions, array effects, and directional wave incidence, enabling consistent and systematic assessment of single devices and arrays of increasing complexity. Validation against analytical solutions, experimental data, and established numerical tools, together with parallelised implementations, demonstrates the suitability of the framework for array-scale investigations.
This modelling framework is then applied to examine and compare the hydrodynamic behaviour of mono and mixed arrays in both shallow- and deep-water environments. A broad range of array configurations is considered under regular and irregular wave conditions, allowing the influence of device type, spacing, layout, and wave directionality to be assessed. The analyses provide insight into how hydrodynamic interactions and directional effects differ between mono and mixed arrays, and how these differences influence array-level behaviour across a range of operating conditions.
Finally, the hydrodynamic analyses are integrated with a techno-economic assessment of wave energy arrays. Using representative cost models and site-independent assumptions, the levelised cost of energy of mono and mixed arrays is evaluated alongside spatial performance indicators such as array footprint. This combined assessment enables a consistent comparison of alternative array concepts, highlighting the trade-offs between energy production, spatial efficiency, and economic performance in different deployment contexts.
Overall, the findings of this thesis demonstrate that mixed wave energy arrays constitute a viable alternative to conventional mono-technology deployments and merit consideration in future wave energy farm design. By jointly examining hydrodynamic behaviour, spatial characteristics, and techno-economic implications at the array scale, this work provides a structured framework for evaluating next-generation wave energy arrays. The modelling tools and insights developed in this thesis form a foundation for future optimisation studies, control integration, and site-specific assessments aimed at advancing the commercial viability of wave energy systems.
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Additional features in HAMS-MREL
A new open-source BIEM solver for offshore energy applications
Marine renewables in Energy Systems
Impacts of climate data, generators, energy policies, opportunities, and untapped potential for 100% decarbonised systems
The accurate modelling of hydrodynamic interactions in dense arrays of Wave Energy Converters (WECs) is critical for optimizing design and predicting energy capture efficiency. This study presents the first time-domain experimental validation of the Boundary Element Method (BEM) multi body solver HAMS-MREL, for WEC arrays. The validation involves a comparative assessment of wave excitation forces from numerical predictions and physical measurements for an array of 5 floaters. Results exhibit good overall agreement, with Normalized Root Mean Square Error (NRMSE) values typically below 10 %, though with some exceptions. The results highlight solver limitations that vary with wave steepness and floater positioning within the array. Additionally, this study presents the first integration of HAMS-MREL with WEC-Sim for time-domain simulations, evaluating the linear HAMS-MREL and the weakly nonlinear WEC-Sim hydrodynamic models across various wave conditions. The comparative study conducted with the Ocean Grazer 4.0 case, a dense array of 18 floaters around a monopile, reveals the conditions under which linear modelling remains valid and when nonlinear approaches become necessary. Despite significant wave excitation force differences at wave steepness above 2 %, power output estimates remain within acceptable limits (∼10 %). These findings offer critical insights into appropriate model selection for different wave conditions.
This study presents a first long term (30 years) assessment to quantify the effects of both, the wave spectrum representation, and occurrences of multi-modal sea states, on power production estimations from a point-absorber Wave Energy Converter (WEC). Analysis in 3 different offshore locations (Portugal, Ireland and The Netherlands) is included to ensure robustness of results. In general, traditional methods based on the use of the JONSWAP spectrum, with an adequate gamma shape value, can lead to mean overestimation in yearly power production >12% when compared to reference hindcast spectral data. This can be partially reduced when capping is applied to power production, but still can be close to 10%. An alternative method is proposed to modulate the JONSWAP spectrum at each time step which helps to reduce differences, but leads to slight yearly underestimations (−2.5 to −5% in average). Although in all analyzed sites the occurrences of multi-modal spectra is >30%, contribution to errors due to misrepresentation of these sea states are estimated to be of about 2.5%. These findings provide valuable insights on the uncertainties introduced in power production estimations, related to wave conditions characterization, that can have important economic impact when planning for large scale deployments.
HAMS-MREL, a new open source multiple body solver for marine renewable energies
Model description, application and validation
The Boundary Element Method (BEM) based on the linear potential flow theory has shown to produce accurate results at low computational costs in numerical modelling of the hydrodynamics of Wave Energy Converters (WECs). WAMIT, Nemoh and Capytaine are some of the most popular frequency domain BEM solvers used in the response analysis of various WECs. Hydrodynamic Analysis of Marine Structures (HAMS), another open-source BEM solver gaining traction, has been applied to the analysis of single WECs considering rigid body motions providing highly accurate solutions at lower computational costs as compared to other solvers. This research extends its current capabilities to model structures with constraints by applying the generalized modes approach. Results presented include of a cross-model validation with commercial solver WAMIT, of the hydrodynamic coefficients and exciting forces considering flap converter. Furthermore, a comparison is shown with popular open-source solver Capytaine for the same case, since it has parallelization.
Wave Energy farm assessment in real wave climates
The North Sea
To date there is a wide range of wave reanalysis and hindcasts available to the scientific and engineering community which are commonly used for different applications, including downscaling or the estimation of the wave energy resource. These long datasets have been created using different combinations of forcing fields, physical parameterizations, and numerical choices (like spatial and spectral resolution). All these elements have a direct effect on the accuracy of the wave models’ output and thus, they are one of the main reasons for the differences between these products. In the present study we analyze the significant wave heights and peak periods characteristics from a selection of global datasets. We additionally include results from a hindcast created using the WAVEWATCH III model, with adjustments specially aimed to reduce uncertainties of the wave energy resource along the Atlantic coasts of Europe. Models’ output is compared with buoys and altimeter data from the latest ESA (European Space Agency) CCI Sea State V3 product. Preliminary validation of the hindcast we have generated for the North Atlantic already show an important bias reduction for wave heights in the 2.5 to 11.5 range compared to ERA5 wave product. Using the relevant wave parameters, we estimate the power density and quantify the differences between databases. Then, based on scatter diagrams obtained from the joint distributions of significant wave height and peak period, the differences in the power captured by a point absorber wave energy converter (WEC) related to different wave data sources will be quantified.