Wind Turbine Power Calculator

Horizontal-axis wind turbines (HAWT) have blades that rotate around a horizontal axis and are the most common type used commercially. Vertical-axis wind turbines (VAWT) rotate around a vertical axis and include Darrieus and Savonius designs. HAWTs are generally more efficient but require wind direction tracking.

Wind turbine power is calculated using the formula P = 0.5 × ρ × A × v³ × Cp, where ρ is air density, A is swept area, v is wind speed, and Cp is the power coefficient (efficiency). The theoretical maximum efficiency is limited by Betz's law to 59.3%.

A typical home uses 10,000-15,000 kWh annually. A 5-10 kW wind turbine in areas with average wind speeds of 6+ m/s can meet most household energy needs. However, actual power generation depends heavily on local wind conditions and turbine placement.

Daily energy production varies greatly with wind speed and turbine size. A 50m diameter turbine at 35% efficiency in 12 m/s winds can produce approximately 6,500 kWh per day. Production drops significantly with lower wind speeds due to the cubic relationship between wind speed and power.

Wind power is proportional to the cube of wind speed (v³). This means a 20% increase in wind speed results in a 73% increase in power output. This cubic relationship makes consistent, strong winds essential for viable wind energy projects.

Key factors include turbine design (HAWT vs VAWT), blade aerodynamics, generator efficiency, wind speed consistency, air density (affected by altitude and temperature), and maintenance condition. Modern HAWTs achieve 35-45% efficiency under optimal conditions.

Higher air density increases power output proportionally. Air density decreases with higher altitude and temperature. At sea level (1.225 kg/m³), turbines produce maximum power, while at high altitudes or in hot climates, power output is reduced due to lower air density.