Is It Okay to Have a 12 kW Wind Turbine in the City?
Would it be acceptable to have a 12 kW wind turbine in the city if the city height limit is 12.19 meters and the lowest point of the wind blade should be at least 2 meters above the ground?
Calculation for Wind Power
The formula for calculating wind power is given as; P = 0.5 x Cp x A x p x V^3
Where:
- P is power (Watts)
- Cp is the efficiency (maximum efficiency Cp = 50%)
- A is the area (square meters)
- p is the density of the air (1.2 kg/m^3)
- V is the velocity of the wind (8.0 m/s)
Let's calculate the area of the wind blade required to generate 12 kW of power:
P = 12000 Watts
Cp = 0.50
p = 1.2 kg/m^3
V = 8.0 m/s
The area can be calculated as:
A = P / (0.5 x Cp x p x V^3)
A = 12000 / (0.5 x 0.50 x 1.2 x 8.0^3)
A = 29.3 m^2
So, a wind turbine with a 12 kW power rating should have a blade area of 29.3 m^2 to achieve the rated output power at maximum efficiency and 8 m/s wind speed.
City Height Limit Check
City height limit: 12.19 meters
Lowest point of wind blade above the ground: 2 meters
Height of wind turbine = 12.19 + 2 = 14.19 meters
Since the height of the wind turbine (14.19 meters) is lower than the city height limit (12.19 meters), it is acceptable to have a 12 kW wind turbine in the city.
The height of the wind turbine is less than the city height limit, it is okay to have a 12 kW wind turbine in the city.