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• W3208482056 abstract "Numerical simulation is essential, to assist in the development of wave energy technology. In particular,tasks such as power assessment, optimisation and structural design require a large numberof numerical simulations to calculate the wave energy converter (WEC) outputs of interest, over avariety of wave conditions or physical parameters. Such challenges involve a sound understandingof the statistical properties of ocean waves, which constitute the forcing inputs to the wave energydevice, and computationally efficient numerical techniques for the speedy calculation of WECoutputs. This thesis studies the statistical characterisation, and numerical generation, of oceanwaves, and proposes a novel technique for the numerical simulation of non-linear WEC models.The theoretical foundations, the range of validity, and the importance of the statistical representationof ocean waves are first examined. Under relatively mild assumptions, ocean waves canbe best described as a stationary Gaussian process, which is entirely characterised by its spectraldensity function (SDF). Various wave superposition techniques are discussed and rigorouslycompared, for the numerical generation of Gaussian wave elevation time series from a given SDF.In particular, the harmonic random amplitude (HRA) approach can simulate the target statisticalproperties with perfect realism. In contrast, the harmonic deterministic amplitude (HDA)approach is statistically inconsistent (because the generated time-series are non-Gaussian, andunder-represent the short-term statistical variability of real ocean waves), but can be advantageousin the context of WEC simulations since, if it can be verified that HDA results are unbiased, theHDA method requires a smaller number of random realisations than the HRA method, to obtainaccurate WEC power estimates.When either HDA or HRA are used for the generation of wave inputs, the forcing terms ofWEC mathematical models are periodic. Relying on a Fourier representation of the system inputsand variables, the harmonic balance (HB) method, which is a special case of spectral methods, is asuitable mathematical technique to numerically calculate the steady-state response of a non-linearsystem, under a periodic input. The applicability of the method to WEC simulation is demonstratedfor those WEC models which are described by means of a non-linear integro-differentialequation. In the proposed simulation framework, the WEC output, in a given sea state, is assessedby means of many, relatively short, simulations, each of which is efficiently solved using the HBmethod.A range of four case studies is considered, comprising a flap-type WEC, a spherical heavingpoint-absorber, an array of four cylindrical heaving point-absorbers, and a pitching device. Foreach case, it is shown how the HB settings (simulation duration and cut-off frequency) can becalibrated. The accuracy of the HB method is assessed through a comparison with a second-orderRunge-Kutta (RK2) time-domain integration scheme, with various time steps. RK2 results convergeto the HB solution, as the RK2 time step tends to zero. Furthermore, in a Matlab implementation,the HB method is between one and three orders of magnitude faster than the RK2 method,depending on the RK2 time step, and on the method chosen for the calculation of the radiationmemory terms in RK2 simulations. The HB formalism also provides an interesting framework,for studying the sensitivity of the WEC dynamics to system parameter variations, which can beutilised within a gradient-based parametric optimisation algorithm. An example of WEC gradientbasedparametric optimisation, carried out within the HB framework, is provided." @default.
• W3208482056 created "2021-11-08" @default.
• W3208482056 creator A5012717786 @default.
• W3208482056 date "2018-01-01" @default.
• W3208482056 modified "2023-09-28" @default.
• W3208482056 title "A harmonic balance framework for thenumerical simulation of non-linear wave energyconverter models in random seas" @default.
• W3208482056 hasPublicationYear "2018" @default.
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