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The available power in a stream of wind of the same cross-sectional area as the wind turbine can easily be shown to be Available power in watts P pU3 Td where U is the wind speed in m/s p is the density of air in kg/m d is the rotor diameter in m - a. If the temperature is 0°C, and the air density p at 0°C is 1.2754 kg/m, the available power is 225 kW, and the wind speed U is 14 m/s, calculate the rotor diameter d for the wind turbine. that output at 14 m/s. The cut-in speed is 3.5 m/s, and the cut-out speed is 25 m/s. What is the output power when the wind speed is 30 m/s? What is the output power when the wind speed is 2 m/s? Using the rotor diameter calculated in (a), and a wind speed of 7 m/s, what is the output b. In the above example, the wind turbine has a maximum output of 225 kW, and it reaches c. power of the wind turbine? Power (kw) Rated output speed Cut-out speed Rated output power Cut-in spoed 3.5 14 25 Steady wind speed (m/sec) Typical wind turbine power output with steady wind speed. FIGURE 1.16 Typical wind turbine power output with steady wind speed.
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