Browsing by Author "Arena, Felice"

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    Efficient time domain response computation of massive wave power farms
    (Springer Nature, 2024) Spanos, Pol D.; Malara, Giovanni; Arena, Felice
    A potential future challenge in the wave energy sector will involve the design and construction of massive wave power farms. That is, collections of several (> 100) wave energy converters (WEC) operating in identical environmental conditions at a distance comparable with typical water wave lengths. In this context, the WECs are likely to be influenced by each another by radiation force effects that are associated with the radiated wave field propagated by WECs operating in the surrounding wave field. These effects are commonly captured by the Cummins’ equation, where the radiation force is expressed as a convolution integral depending on the past values of the WEC response. Due to this mathematical representation, the time domain computation of the wave farm response can become computationally daunting. This article proposes one approach for computing efficiently the wave farm response in the time domain. Specifically, it demonstrates that the values of the radiation force components can be determined at each time step from their previous values by approximating the retardation function matrix elements via the Prony method. A notable advantage of this approach with respect to the ones available in the open literature is that it does not require either the storage of past response values or additional differential equations. Instead, it uses simple algebraic expressions for updating at each time instant the radiation force values. Obviously, this feature can induce significant computational efficiency in analyzing an actual wave farm facility.
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    Nonlinear Stochastic Dynamics of an Oscillating Water Column (U-OWC) Harvester: A Frequency Domain Approach
    (Universita Degli Studi Di Palermo, 2016) Spanos, Pol D.; Strati, Federica M.; Malara, Giovanni; Arena, Felice
    This paper deals with the problem of examining the nonlinear dynamic of a U-Oscillating Water Column (U-OWC) Wave Energy Converter. The U-OWC dynamic response is governed by a set of non-linear differential equations. In the paper, an approximate linear solution is sought by using the technique of statistical linearization. The linearization scheme is implemented by identifying a surrogate linear system equivalent to the nonlinear one in a mean-square sense. In this context, frequency-domain analyses of the U-OWC response are readily implemented via standard linear input-output relationship. Comparisons between the nonlinear response computed via numerical simulations and by the approximate one assess the reliability of the method. The proposed approach is applied to a small-scale U-OWC model installed in the Natural Engineering Laboratory (NOEL) in Reggio Calabria, Italy.