SOLVE THIS WITH AS MUCH INFO AS POSSIBLE. A wind turbine generates...

SOLVE THIS WITH AS MUCH INFO AS POSSIBLE

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A wind turbine generates 3 MW of power when the wind speed is 72 km.h'1. The turbine has an axial induction factor of 0.26, a mechanical efficiency of 80% and spins at 1.2 times per second. Assuming the density of air is 1.225 kg.m'3, then: a) Calculate the wind velocity in m.s'1. b) Calculate the power coefficient for the turbine. (2) Calculate the area of the rotor. d) Calculate the radius of the rotor. e) Calculate the blade tip velocity. f) Calculate the velocity ratio. Conceptual activity: 0 The calculations are based on equations which are derived making particular assumptions. 0 What are these assumptions? 0 Discuss the validity of each assumption for normal conditions of wind power generation. When might these assumptions break down? a What is the Betz limit - describe and explain what it means. When does it apply? 0 Using the Beta limit simulator available on Canvas, explore different values for wind speed and radius. Using two digits from your student number as the air speed, and a radius of 20 m, determine the maximum power available. Compare the results with your team and discuss.

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