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.

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