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A statistical approach for sizing an aircraft electrical generator using extreme value theory

Author

Listed:
  • Fériel Boulfani
  • Xavier Gendre
  • Anne Ruiz-Gazen

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Martina Salvignol

Abstract

The sizing of aircraft electrical generators mainly depends on the electrical loads installed in the aircraft. Currently, the generator capacity is estimated by summing the critical loads, but this method tends to overestimate the generator capacity. A new method to challenge this approach is to use the electrical consumption recorded during flights and study the distribution of operational ratios between the actual consumption and the theoretical maximum consumption then size the future aircraft generators by applying a ratio to the theoretical value. This paper focuses on the application of extreme value theory on these operational ratios to estimate the maximal capacity utilization of a generator. A real data example is provided to illustrate the approach and estimate extreme quantiles and the right endpoint of the distribution of the ratios together with their approximate confidence interval in the nominal configuration. In all situations the right endpoint is proven to be finite and does not depend on the use procedures. This approach shows that ELA overestimates the maximal permanent consumption by 20% with error level of 10−3 in the nominal configuration.

Suggested Citation

  • Fériel Boulfani & Xavier Gendre & Anne Ruiz-Gazen & Martina Salvignol, 2021. "A statistical approach for sizing an aircraft electrical generator using extreme value theory," Post-Print hal-03552703, HAL.
    • Handle: RePEc:hal:journl:hal-03552703
    DOI: 10.1007/s13272-021-00540-8
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    References listed on IDEAS

    as
    1. Jesson J. Einmahl & John H. J. Einmahl & Laurens de Haan, 2019. "Limits to Human Life Span Through Extreme Value Theory," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(527), pages 1075-1080, July.
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