QUESTION 9 tor What would you expect from a 1 MW wind turbine for electricity pr

Question

QUESTION 9 tor What would you expect from a 1 MW wind turbine for electricity production in Champaign in the middle of summer (hottest time so highest electricity demand for air conditioning) see https://weatherspark.comly/13280/Average-Weather-in-Champaign-Illinois-United-States-Year-Round. In your calculations, assume that the average wind speed is the average wind speed in Champaign on July 31. Assume that the turbine is rated for its maximum output (1 MW) for a wind speed of 30 mph. (Note the wind speed that is used to rate wind turbines for their power output is typically between 25 and 35 mph - we will use the average.) How many MW of power output would you expect based on this? (Note also that the typical cut-in wind speed that is required to start making electricity for a wind turbine is between 7 and 9 mph. Choose the answer that is closest to your makino olocenertaoel Fos meary i mh hotewey exact calculation 0.25 MW (25%) 0.15 MW (1596) O 0.025 MW (2.596) 0 0.015 MW (1.5%)

Explanation / Answer

given average wind speed is v = 7.2 mph

now power output for v = 30 mph = Po
Po = 1 MW

let blade area be A
then for wind speed v
volume flow rate = Av
mass flow rate = rho*A*v

power = time rate of change of KE
power = 0.5*rho*A*v * v^2 = 0.5*rho*A*v^3
hence power of a wind turbine is proportional to the cube of the wind speed
hence

power output on the given day is
P = Po(v/30)^3
P = 1 MW (7.2/30)^3
P = 13.824 kW = 0.015 MW ( apx)
option d.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.