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Performance Analysis of Second Order Semi-Markov Chains: An Application to Wind Energy Production

Guglielmo D’Amico (), Filippo Petroni () and Flavio Prattico ()
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Guglielmo D’Amico: Università G. d’Annunzio
Filippo Petroni: Università degli studi di Cagliari
Flavio Prattico: Università degli studi dell’Aquila

Methodology and Computing in Applied Probability, 2015, vol. 17, issue 3, 781-794

Abstract: Abstract In this paper a general second order semi-Markov reward model is presented. Equations for the higher order moments of the reward process are presented for the first time and applied to wind energy production. The application is executed by considering a database, freely available from the web, that includes wind speed data taken from L.S.I. - Lastem station (Italy) and sampled every 10 minutes. We compute the expectation, the variance, the skewness and the kurtosis of the total energy produced by using the commercial blade Aircon HAWT - 10 kW.

Keywords: Semi-Markov chains; Reward process; Wind speed; 60K15; 62P20; 62P30 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11009-013-9394-z

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