Stochastic analysis of wind turbine power curves [Elektronische Ressource] / von Edgar Anahua

Stochastic Analysis of Wind Turbine Power CurvesEdgar AnahuaOldenburg 2007Stochastic Analysis of Wind Turbine Power CurvesEdgar AnahuaVon der Fakultat¤ fur¤ Mathematik und Naturwissenschaftender Carl von Ossietzky Universitat¤ Oldenburgzur Erlangung des Grades und Titels einesDOKTOR DER NATURWISSENSCHAFTENDR. RER. NAT.angenommene Dissertationvon Herrn Edgar Anahuageboren am 17.11.1971 in Tacna (Peru)Gutachter: Prof. Dr. Joachim PeinkeZweitgutachter: Prof. Dr. Alexander RauhTag der Disputation: 05.10.2007AbstractThis work shows a novel method to characterize the wind turbine’s power per-formance directly from high frequency uctuating measurements. In particular weshow how to evaluate dynamic responses of the wind turbine system on uctuatingwind speed in the range of seconds. The method is based on the stochastic differ-ential equations known as the Langevin equations of diffusive Markov processes.In this analysis the uctuating wind turbine power output is decomposed into twofunctions: i) the relaxation, which describes the deterministic dynamic responseof the wind turbine to its desired power production; and ii) the stochastic force(noise), which is an intrinsic feature of the system of wind power conversion. Asa main result we show that independently of the turbulence intensity of the windthe characteristic of the wind turbine power performance is properly reconstructed.