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Use of the Halphen distribution family for mean wind speed estimation with application to Eastern Canada.


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Tsvetkova, Olga ORCID logoORCID: https://orcid.org/0000-0001-9876-6677 et Ouarda, Taha B. M. J. ORCID logoORCID: https://orcid.org/0000-0002-0969-063X (2023). Use of the Halphen distribution family for mean wind speed estimation with application to Eastern Canada. Energy Conversion and Management , vol. 276 . p. 116502. DOI: :10.1016/j.enconman.2022.116502.

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We introduce the family of three-parameter heavy-tailed distributions, the Halphen distribution family (HDF), to model the mean wind speed for the purpose of wind energy estimation. The HDF has a number of properties favorable to model wind speed data, such as lower bound at zero (absence of location parameter), flexibility to cover a large range of shapes, and an explicit form of moment generating functions. We examined 126 stations in Eastern Canada (125 stations were heavy-tailed with positive excess kurtosis) and found that HDF provides fit superior to the most commonly used distribution for this purpose, the two-parameter Weibull distribution, in 100% of the stations according to the Akaike information criterion (AIC). HDF was compared against 4 two-parameter models (Gaussian, Weibull, Gamma, and inverse Gamma) and 3 three-parameter models (generalized extreme value, generalized Gamma and Burr). The most common best-fit distribution for the stations in the Eastern Canada case study is the HDF (46% according to AIC). The results of the case study show that wind observations cannot be fit by the Halphen inverse type B, but can be modelled by Halphen A and especially well by Halphen B (minimum of Kolmogorov-Smirnov statistic among candidate distributions). 87 stations exhibited class D tail behavior. No correlation between tail behavior class and best-fit distribution was observed. We encourage the use of Halphen A and Halphen B as candidate distributions for wind resource estimation studies that are based on mean wind speed estimation.

Type de document: Article
Mots-clés libres: Halphen A; Halphen B; Halphen distribution family; wind resource assessment; wind speed modeling
Centre: Centre Eau Terre Environnement
Date de dépôt: 06 févr. 2024 20:57
Dernière modification: 06 févr. 2024 20:57
URI: https://espace.inrs.ca/id/eprint/14165

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