Consider the design of a home-built wind turbine using a 350-W automobile dc generator. The goal is to deliver 70 kWh in a 30-day month. 1- What capacity factor would be needed for the machine? 2- If the average wind speed is 5 m/s, and Rayleigh statistics apply, what should the rotor diameter be? 3- How fast would the wind have to blow to cause the turbine to put out its full 0.35 kW if the machine is 20% efficient at that point?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.7P
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Consider the design of a home-built wind turbine using a 350-W automobile dc generator. The goal
is to deliver 70 kWh in a 30-day month.
1- What capacity factor would be needed for the machine?
2- If the average wind speed is 5 m/s, and Rayleigh statistics apply, what should the rotor
diameter be?
3- How fast would the wind have to blow to cause the turbine to put out its full 0.35 kW if the
machine is 20% efficient at that point?
4- If the tip-speed-ratio is assumed to be 4, what gear ratio would be needed to match the rotor
speed to the generator if the generator needs to turn at 1000 rpm to deliver its rated 350 W?
5- If Rayleigh statistics apply, what is the energy generated in a 30-day month when wind blows
between its rated wind speed of 13 m/s and its furling wind speed of 25 m/s?
Transcribed Image Text:Consider the design of a home-built wind turbine using a 350-W automobile dc generator. The goal is to deliver 70 kWh in a 30-day month. 1- What capacity factor would be needed for the machine? 2- If the average wind speed is 5 m/s, and Rayleigh statistics apply, what should the rotor diameter be? 3- How fast would the wind have to blow to cause the turbine to put out its full 0.35 kW if the machine is 20% efficient at that point? 4- If the tip-speed-ratio is assumed to be 4, what gear ratio would be needed to match the rotor speed to the generator if the generator needs to turn at 1000 rpm to deliver its rated 350 W? 5- If Rayleigh statistics apply, what is the energy generated in a 30-day month when wind blows between its rated wind speed of 13 m/s and its furling wind speed of 25 m/s?
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