A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind approaching it into usable electrical energy. The total air flow impinging on such a turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed. a) How much electrical energy is produced when 1 kg of air passes through the turbine? (b) What is the power output of the turbine? (c) If there is no heat transferred to the air, and if its temperature remains unchanged, what is its change in speed upon passing through the turbine?
A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind approaching it into usable electrical energy. The total air flow impinging on such a turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed. a) How much electrical energy is produced when 1 kg of air passes through the turbine? (b) What is the power output of the turbine? (c) If there is no heat transferred to the air, and if its temperature remains unchanged, what is its change in speed upon passing through the turbine?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Example 2.2
A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind
speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind
approaching it into usable electrical energy. The total air flow impinging on such a
turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed.
a) How much electrical energy is produced when 1 kg of air passes through the
turbine?
(b) What is the power output of the turbine?
(c) If there is no heat transferred to the air, and if its temperature remains
unchanged, what is its change in speed upon passing through the turbine?
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