Small Wind Turbine Sizing Calculator

Enter your rotor diameter, wind speed, coefficient of performance, and air density to size a small wind turbine for your home. This Small Wind Turbine Sizing Calculator computes the swept area, theoretical power output, and estimated daily energy production — giving you the numbers you need to match a turbine to your residential energy needs.

m

Tip-to-tip blade span. Small residential turbines typically range from 1 m to 8 m.

m/s

Average wind speed at hub height. Check your local wind atlas for a realistic estimate.

Cp

Aerodynamic efficiency of the rotor. The Betz limit (maximum theoretical) is 0.593. Most small turbines achieve 0.25–0.45.

kg/m³

Standard sea-level air density is 1.225 kg/m³. Decreases with altitude and higher temperatures.

hrs

Average number of hours per day the wind blows at your stated speed.

kWh

Check your electricity bill for your average daily usage. A typical US home uses ~30 kWh/day.

Results

Estimated Power Output

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Rotor Swept Area

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Power Output (Watts)

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Daily Energy Production

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Home Energy Coverage

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Monthly Energy Production

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Annual Energy Production

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Home Energy Coverage

Frequently Asked Questions

What size wind turbine do I need to power a house?

A typical US home consumes around 10,500 kWh per year (~30 kWh/day). Depending on your average wind speed, a residential turbine with a rotor diameter of 5–8 m and a rated output of 5–15 kW can often cover a large portion of that demand. Use this calculator to match turbine size to your actual consumption by entering your daily energy use and local wind conditions.

How is wind turbine power output calculated?

Power is calculated using the formula P = ½ × ρ × A × v³ × Cp, where ρ is air density (kg/m³), A is the rotor swept area (m²), v is wind speed (m/s), and Cp is the coefficient of performance. Because wind speed is cubed, even a small increase in wind speed significantly boosts power output.

What is the coefficient of performance (Cp) for a wind turbine?

The coefficient of performance (Cp) measures how efficiently a turbine converts wind kinetic energy into electrical power. The theoretical maximum — known as the Betz limit — is 0.593. Most small residential turbines achieve a Cp between 0.25 and 0.45 in real-world conditions.

What's the difference between HAWT and VAWT turbines?

Horizontal-axis wind turbines (HAWT) have blades that spin around a horizontal shaft facing the wind — these are the most common and efficient design for residential and utility-scale use. Vertical-axis wind turbines (VAWT) rotate around a vertical shaft and can capture wind from any direction, making them suitable for turbulent urban environments, though they are generally less efficient than HAWTs.

How does air density affect wind turbine output?

Denser air carries more kinetic energy, so turbines produce more power at sea level where air density is approximately 1.225 kg/m³. At higher altitudes or in hotter climates, air density drops, reducing power output. If your site is significantly above sea level, adjust the air density input accordingly — a decrease of roughly 0.001 kg/m³ per 10 m of altitude is a useful approximation.

How much energy can a small wind turbine produce per day?

Daily production depends on turbine size, wind speed, and how many hours per day the wind blows at a useful speed. For example, a 3 m diameter turbine with Cp = 0.35 operating at 7 m/s for 6 hours/day will produce roughly 3–4 kWh per day. Enter your specific parameters above to get a tailored estimate.

What wind speed is needed for a residential wind turbine?

Most small wind turbines require a minimum average wind speed of around 4–5 m/s (9–11 mph) to be economically viable. Sites with average speeds below 4 m/s are generally not cost-effective for wind energy. Ideal residential sites typically see average speeds of 6 m/s or more at hub height.

What is rotor swept area and why does it matter?

The swept area is the circular area traced by the rotating blades, calculated as A = π × (D/2)². A larger swept area intercepts more wind, directly increasing power output. Doubling the rotor diameter quadruples the swept area, making rotor size one of the most influential factors in turbine performance.

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