Two-scale momentum theory for very large wind farms

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dc.contributor.authorNishino, Takafumi
dc.date.accessioned2016-11-01T14:04:35Z
dc.date.available2016-11-01T14:04:35Z
dc.date.issued2016-10-03
dc.description.abstractA new theoretical approach is proposed to predict a practical upper limit to the efficiency of a very large wind farm. The new theory suggests that the efficiency of ideal turbines in an ideal very large wind farm depends primarily on a non-dimensional parameter λ/Cf0, where λ is the ratio of the rotor swept area to the land area (for each turbine) and Cf0 is a natural friction coefficient observed before constructing the farm. When X/Cf approaches to zero, the new theory goes back to the classical actuator disc theory, yielding the well-known Betz limit. When λ/Cf0 increases to a large value, the maximum power coefficient of each turbine reduces whilst a normalised power density of the farm increases asymptotically to an upper limit. A CFD analysis of an infinitely large wind farm with 'aligned' and 'displaced' array configurations is also presented to validate a key assumption used in the new theory.en_UK
dc.identifier.citationTakafumi Nishino, Two-scale momentum theory for very large wind farms, Journal of Physics: Conference Series 753, 2016, Article number 032054en_UK
dc.identifier.issn1742-6588
dc.identifier.urihttp://dx.doi.org/10.1088/1742-6596/753/3/032054
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/10917
dc.language.isoenen_UK
dc.publisherIOP Publishing: Conference Series / Institute of Physics (IoP)en_UK
dc.rightsAttribution 3.0 Unported
dc.rightsAttribution 3.0 Unported
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/
dc.titleTwo-scale momentum theory for very large wind farmsen_UK
dc.typeArticleen_UK

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