Spectral estimates of a wind fluctuation statistic pertaining to wind energy generators

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Description

An estimate is developed for the frequency with which a volume average of the longitudinal component of wind velocity changes by a given amount in a given time. First, a general stochastic model for the longitudinal component of atmospheric turbulence is explicitly constructed. Second, the mathematical foundations on which this paper rests are stated. They include Rice's theorem on level crossings and a modification of the power spectrum for the longitudinal wind component to account for the volume averaging induced by a windmill rotor. Third, these mathematical results are applied to the general wind model to obtain an estimate of ... continued below

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Pages: 40

Creation Information

Kerrigan, T.C. September 1, 1978.

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Description

An estimate is developed for the frequency with which a volume average of the longitudinal component of wind velocity changes by a given amount in a given time. First, a general stochastic model for the longitudinal component of atmospheric turbulence is explicitly constructed. Second, the mathematical foundations on which this paper rests are stated. They include Rice's theorem on level crossings and a modification of the power spectrum for the longitudinal wind component to account for the volume averaging induced by a windmill rotor. Third, these mathematical results are applied to the general wind model to obtain an estimate of the frequency described above in terms of general spectral information. Fourth, attention is restricted to a stochastic wind model based on the theory of isotropic turbulence in order to obtain this estimate in terms of commonly available spectral information. A summary and sample calculations are provided.

Physical Description

Pages: 40

Notes

Dep. NTIS, PC A03/MF A01.

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  • Report No.: PNL-2511
  • Grant Number: EY-76-C-06-1830
  • DOI: 10.2172/6521624 | External Link
  • Office of Scientific & Technical Information Report Number: 6521624
  • Archival Resource Key: ark:/67531/metadc1207165

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • September 1, 1978

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

Description Last Updated

  • Oct. 26, 2018, 1:41 p.m.

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Kerrigan, T.C. Spectral estimates of a wind fluctuation statistic pertaining to wind energy generators, report, September 1, 1978; United States. (digital.library.unt.edu/ark:/67531/metadc1207165/: accessed January 22, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.