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Statistics of 5-10 min averages of wind speed

Statistics of 5-10 min averages of wind speed. H.M. Olsson, H.G. Beyer Institute of Engineering University of Agder Grimstad, Norway. Introduction. Grid integrations of high shares of wind energy requires knowledge of the temporal pattern of the power flows on all time scales

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Statistics of 5-10 min averages of wind speed

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  1. Statistics of 5-10 min averages of wind speed H.M. Olsson, H.G. Beyer Institute of Engineering University of Agder Grimstad, Norway

  2. Introduction • Grid integrations of high shares of wind energy requires knowledge of the temporal pattern of the power flows on all time scales time scales: 1h, 1s information (mostly) condition: on-shore available time scales: 5-10min information rarely condition: off-shore available

  3. Data Hywind: off-shore 500s averages of wind speed 1 year of data Lindesnes: on-shore 600s averages of wind speed 10 years of data

  4. Data analysis Wind speed (500s,600s ave.) increments: increments sorted by initial wind speed v(t) [example onshore]

  5. Data analysis • distribution of increments • Standard deviation • Kurtosis • in dependence of initial wind speed

  6. Options for modelling of empirical distribution • Gaussian distribution • Castaing distribution Off- shore, initial wind speed 10m/s

  7. Options for modelling of empirical distribution • Castaing distribution • used for analysing (short term) turbulence data parameters , s directy linked to standard deviation and kurtosis gives good representation for ’average’ initial wind speeds 6 m/s

  8. Castaing/Gaussian limitations • Higher initial wind speeds Empirical: asymmetric distribution of increments both, Gaussian and Castaing fail. cumulative distribution of increments offshore, initial wind speed20 m/s

  9. Heuristic model to cope with asymmetry and increased kurtosis • Model proposed • parameters  and β control asymmetry and skewness

  10. Heuristic model to cope with asymmetry and increased kurtosis model performance: on-shore initial wind speed: 20 m/s heuristic model well applicable for all initial wind speeds

  11. Statistics of 5-10 min averages of wind speed Conclusions • For intermediate initial wind speeds the Castaing distribution gives a good representation of the distribution of wind speed increments from knowledge of standard dev. and skewness • An heuristic model provides the most accurate results, notably for elevated initial wind speeds  • The heuristiclly added exponential term breaks the direct link of model parameters to mean and std.dev. • The heuristic model needs a time consuming fitting process  • Acknowledgements: data kindly made available by Agder energi AS and Statoil, Norway

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