The distribution of wind power from a dispersed array of wind turbine generators and its reliability based applications.

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Title: The distribution of wind power from a dispersed array of wind turbine generators and its reliability based applications.
Authors: Eryilmaz, Serkan1 (AUTHOR), Kan, Cihangir2 (AUTHOR), Devrim, Yilser3 (AUTHOR)
Source: Journal of Computational & Applied Mathematics. Feb2026, Vol. 473, pN.PAG-N.PAG. 1p.
Subjects: Wind power, Wind turbines, Distribution (Probability theory), Reliability in engineering, Statistical reliability, Numerical calculations
Abstract: In this paper, the probability distribution of wind power from a dispersed array of wind turbine sites is studied considering forced outage rates of wind turbines. The wind speeds at distinct sites are assumed to be dependent and the dependence is modeled by copulas. In particular, the probability distribution of the aggregate power from two sites is exactly derived. The probability distribution of the aggregate power is also derived under the particular case when site 1 consists of n 1 identical wind turbines of type 1 and site 2 consists of n 2 identical wind turbines of type 2. Numerical results are presented to illustrate the theoretical findings for a chosen copula function. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 187996322
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: The distribution of wind power from a dispersed array of wind turbine generators and its reliability based applications.
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  Data: <searchLink fieldCode="AR" term="%22Eryilmaz%2C+Serkan%22">Eryilmaz, Serkan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kan%2C+Cihangir%22">Kan, Cihangir</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Devrim%2C+Yilser%22">Devrim, Yilser</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Feb2026, Vol. 473, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Wind+power%22">Wind power</searchLink><br /><searchLink fieldCode="DE" term="%22Wind+turbines%22">Wind turbines</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+reliability%22">Statistical reliability</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, the probability distribution of wind power from a dispersed array of wind turbine sites is studied considering forced outage rates of wind turbines. The wind speeds at distinct sites are assumed to be dependent and the dependence is modeled by copulas. In particular, the probability distribution of the aggregate power from two sites is exactly derived. The probability distribution of the aggregate power is also derived under the particular case when site 1 consists of n 1 identical wind turbines of type 1 and site 2 consists of n 2 identical wind turbines of type 2. Numerical results are presented to illustrate the theoretical findings for a chosen copula function. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.cam.2025.116908
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Wind power
        Type: general
      – SubjectFull: Wind turbines
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Reliability in engineering
        Type: general
      – SubjectFull: Statistical reliability
        Type: general
      – SubjectFull: Numerical calculations
        Type: general
    Titles:
      – TitleFull: The distribution of wind power from a dispersed array of wind turbine generators and its reliability based applications.
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            NameFull: Eryilmaz, Serkan
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            NameFull: Kan, Cihangir
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            NameFull: Devrim, Yilser
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 473
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