2. The wind velocity at a height of 15 m for an average day at the same industri

Question

2. The wind velocity at a height of 15 m for an average day at the same industrial complex site is given in the attached excel sheet. Using this information determine the hourly power produced by a wind turbine with a tip to tip blade diameter of 10 m. Neglect air temperature changes for this calculation and take the environment to be 27 C and 1 bar of pressure. Assume the maximum rotor efficiency for the wind turbine. This is a basic control volume problem where the kinetic energy of the moving air stream is converted to mechanical and then electrical power. As a simple, initial calculation assume that the electrical power conversion efficiency, the generator efficiency, equals 0.88.   The plan is to use the electricity to provide power to the complex occupants without the need for storage. Assume that all the power produced by the wind turbine will be consumed within the complex over the twenty-four period.

The challenge in this analysis is that the velocity of the air leaving the volume around the wind turbine cannot be zero because this would correspond to zero flow; in other words one must simultaneous satisfy the energy and mass balance. In addition, to satisfying the conservation relationships one must visualize that the flow areas upstream and downstream of the wind turbine are affected, ie think in terms of a variable area tube containing all the air flow that will move through the wind turbine.

NO EXCEL WAS PROVIDED

Explanation / Answer

Elevtricity can be extracted by using dynamometer. However efficiency of the dynamometer should also be undertaken for calculation

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