Estimating Wind Farm Transformers Rating through Lifetime Characterization Based on Stochastic Modeling of Wind Power

Maurizio Fantauzzi, Davide Lauria, Fabio Mottola and Daniela Proto
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Maurizio Fantauzzi: Department of Industrial Engineering, University of Naples Federico II, 80125 Naples, Italy
Davide Lauria: Department of Industrial Engineering, University of Naples Federico II, 80125 Naples, Italy
Fabio Mottola: Department of Electrical Engineering and Information Technology, University of Naples Federico II, 80125 Naples, Italy
Daniela Proto: Department of Electrical Engineering and Information Technology, University of Naples Federico II, 80125 Naples, Italy

Energies, 2021, vol. 14, issue 5, 1-16

Abstract: This paper deals with the problem of the optimal rating of mineral-oil-immersed transformers in large wind farms. The optimal rating is derived based on the probabilistic analyses of wind power generation through the Ornstein–Uhlenbeck stochastic process and on thermal model of the transformer through the integration of stochastic differential equations. These analyses allow the stochastic characterization of lifetime reduction of the transformer and then its optimal rating through a simple closed form. The numerical application highlights the effectiveness and easy applicability of the proposed methodology. The proposed methodology allows deriving the rating of transformers which better fits the specific peculiarities of wind power generation. Compared to the conventional approaches, the proposed method can better adapt the transformer size to the intermittence and variability of the power generated by wind farms, thus overcoming the often-recognized reduced lifetime.

Keywords: transformer aging; transformer design; Ornstein–Uhlenbeck process; Wiener process; wind power generation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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