WIND ENERGY SYSTEMS - Cd3wd

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Chapter 4—Wind Turbine Power 4–20 Figure 15: Electrical power output compared with shaft power of Sandia 17-m Darrieus turbine operating at 42 r/min. is an old sailing term which refers to the process of rolling up the canvas sails in anticipation of high winds. It therefore is used to refer to the wind speed at which the turbine is shut down to prevent structural damage. This condition normally occurs only a few hours during the year, and therefore does not have a large influence on energy production. The coefficients a and b are given by a = P eRu k c u k c − u k R Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001
Chapter 4—Wind Turbine Power 4–21 b = P eR u k R − uk c (22) As mentioned in Chapter 2, the Rayleigh distribution is a special case of the Weibull distribution with k = 2 and is often sufficiently accurate for analysis of wind power systems. This value of k should be used if the wind statistics at a given site are not well known. AplotofP e versus u is shown in Fig. 16, for k =2. P e varies as u k between the cut-in and rated wind speeds. It is then assumed to be a constant value between the rated and furling wind speeds. At the furling wind speed u F the turbine is shut down to protect it from high winds. Figure 16: Model wind turbine output versus wind speed. 5 <strong>ENERGY</strong> PRODUCTION AND CAPACITY FACTOR We have seen that the electrical power output of a wind turbine is a function of the wind speed, the turbine angular velocity, and the efficiencies of each component in the drive train. It is also a function of the type of turbine (propeller, Darrieus, etc.), the inertia of the system, Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001
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