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<p>The <i>poles</i> featuring in this paper stem directly from Maxwell’s classical harmonic polynomials. Here, we employ them in a systematic approach to the representation of wind probability distributions in the plane. Symmetry suggests the number of poles (and the degree of the polynomial) strictly necessary in a specific situation. In this model, multipolar tensors of different ranks (corresponding to homogeneous polynomials of different degrees) embody different components of wind climate. When applied to the data of a wind farm in Sicily (Italy), this strategy proves that an <i>octupolar</i> distribution (with 3 poles) is the best fit. A <i>quadrupolar</i> distribution (with 2 poles) is found to be equivalent to a distribution that is elsewhere called <i>offset elliptical normal</i>.</p>

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Multipolar wind distributions

  • 期刊论文

  • 发表日期：

    2025年3月7日

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  • Andrea Pedrini,
  • Epifanio G. Virga,
  • Andrea Marziali,
  • Anna Malagó

摘要

The poles featuring in this paper stem directly from Maxwell’s classical harmonic polynomials. Here, we employ them in a systematic approach to the representation of wind probability distributions in the plane. Symmetry suggests the number of poles (and the degree of the polynomial) strictly necessary in a specific situation. In this model, multipolar tensors of different ranks (corresponding to homogeneous polynomials of different degrees) embody different components of wind climate. When applied to the data of a wind farm in Sicily (Italy), this strategy proves that an octupolar distribution (with 3 poles) is the best fit. A quadrupolar distribution (with 2 poles) is found to be equivalent to a distribution that is elsewhere called offset elliptical normal.