1. What is the Wind Power Equation?

The wind power equation calculates the theoretical power available in the wind. It is based on the kinetic energy of moving air and is fundamental to wind energy conversion systems.

2. How Does the Calculator Work?

The calculator uses the wind power equation:

Where:

• \( P \) — Power (Watts)
• \( \rho \) — Air density (kg/m³)
• \( A \) — Swept area of turbine blades (m²)
• \( v \) — Wind speed (m/s)

Explanation: The equation shows that wind power is proportional to the cube of wind speed, making higher wind speeds dramatically more powerful.

3. Importance of Wind Power Calculation

Details: Accurate wind power estimation is crucial for designing wind turbines, selecting appropriate sites for wind farms, and predicting energy output from wind energy systems.

4. Using the Calculator

Tips: Enter air density in kg/m³ (standard is 1.225 at sea level), swept area in m², and wind speed in m/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is wind speed cubed in the equation?
A: The kinetic energy of wind is proportional to the cube of its velocity, meaning doubling wind speed increases power output by eight times.

Q2: What is a typical air density value?
A: At sea level and 15°C, air density is approximately 1.225 kg/m³. Density decreases with altitude and increases with lower temperatures.

Q3: How is swept area calculated?
A: For a horizontal-axis wind turbine, swept area is calculated as \( A = \pi r^2 \), where r is the rotor radius.

Q4: Is this the actual power output of a wind turbine?
A: No, this is the theoretical power in the wind. Actual turbine output is less due to efficiency limitations (Betz's law states maximum efficiency is 59.3%).

Q5: How does temperature affect wind power?
A: Colder air is denser, which increases power output at the same wind speed. Air density decreases by about 1% per 3°C temperature increase.