Your Questions About Wind Turbine

Carol asks…

How much electrical energy (in kWh) can the wind turbine generate in a year?

Assume a wind turbine with a hub 50.0 m above the ground, a rotor diameter of 50.0 m, and a wind-power conversion efficiency of 25%. The turbine operates in an area with an average wind-power density of 500 watts/m2 at 50 m altitude. How much electrical energy (in kWh) can the wind turbine generate in a year?

admin answers:

The question is written to allow for a rather simple solution, unlike the challenges of real wind turbine power and energy estimation.

Energy = Power x Time

Electric power produced = conversion efficiency x gross wind power

Gross wind power = power density x turbine swept area

So, with all the equations at hand, we can solve the problem.

Turbine swept area = 2 x pi x (25 m)^2 = 3927 m^2
Wind power density = 500 W/m^2

Thus, Gross wind power = 500 W/m^2 x 3927 m^2 = 1.9635 x10^6 W = 1.9635 MW

Electric power produced = 0.25 * 1.9635 MW = 0.49087 MW

Since the problem identifies the wind power as long-term average, we can calculate the average energy produced in a year.

Energy (Joules) = Watts x seconds
Energy = 0.49087 MW x 31536000 s = 15.487 x10^6 MJ
But the question asked for energy measured in kilowatt-hours (kWh).

So, Energy = 490.87 kW * 8760 h = 4300100 kWh produced in 1 year.

Unfortunately, a real wind turbine would produce this energy in an unscheduleable manner, typically peaking when the demand (load) is lowest. That’s the challenge of wind energy.

Mandy asks…

How much money would an average wind turbine save on a $240 energy bill on an average $31 day month?

On average days too. Like during a warm front. Also include the price of the wind turbine, and how much time it would take to pay off the turbine completely.

admin answers:

Wind energy is not continues and hence it is not going to cut your bill drastically. Even the wind farms can built not to feed continuously to the grid but intermittently. For individuals the cost of wind turbine is going to be very expensive compared to the power bill. Good to go for one with the impact on environment but if you ar going for saving dollars then you are going to be disappointed.

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