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Calcimator

Wind Turbine Output Calculator

Calculate annual energy production from wind turbine specs and wind speed.

About this calculator

This calculator applies the standard wind power equation directly: power = 0.5 × air density × swept area × wind speed³ × power coefficient (Cp). Swept area comes from the rotor diameter you enter, treated as a circle (π × radius²) — the disc the blades trace as they spin. The cube on wind speed is the single most important thing to understand about this formula: doubling wind speed increases available power eightfold, which is why turbine siting and hub height matter so much more than they might seem to at first glance.

Cp, the power coefficient, represents how efficiently the turbine converts that theoretical wind power into electrical output; it's capped by the Betz limit of 59.3% (no turbine can ever exceed this, since some kinetic energy must remain in the wind for it to keep flowing past the rotor), and real utility-scale turbines typically run 35-45% under normal operating conditions. Annual and daily energy production simply multiply average power by the hours in a year (or day) and an availability factor accounting for downtime — maintenance, grid curtailment, low or excessive wind cut-out periods. The key simplification here is that a single average wind speed is used throughout, rather than integrating power output across a full wind speed distribution (as a Weibull-based assessment would); because power scales with the cube of speed, an average-speed calculation like this one will generally underestimate real annual production, since gustier high-speed periods contribute disproportionately more energy than the average alone suggests.

Inputs

ft
m/s
kg/m³
%
%

Results

Average Power

422.41 kW

≈ 28 homes' peak draw

Annual Production

3,515,263 kWh

Daily Production9,630.9 kWh
Swept Area5,026.5 m²
How to Use This Calculator
  1. Enter the rotor diameter in meters and the average wind speed at hub height in m/s.
  2. Set the air density for your site elevation (default 1.225 kg/m³ at sea level).
  3. Adjust the turbine efficiency (power coefficient Cp) and availability percentage to match your turbine's specs.
  4. Review the average power output in kW, along with daily and annual energy production in kWh.
  5. Check the swept area in m², which reflects how much wind the rotor captures.

How the result changes with Average Wind Speed

Average Wind SpeedAverage PowerAnnual Production
3.552.8 kW439,408 kWh
5.25178.2 kW1,483,001 kWh
111,639.13 kW13,640,859 kWh
187,182.13 kW59,769,712 kWh

What each input means

Rotor Diameter
Diameter of the turbine rotor in meters.
Average Wind Speed
Mean annual wind speed at hub height.
Air Density
Air density at your elevation (1.225 at sea level).
Turbine Efficiency (Cp)
Power coefficient of the turbine. Betz limit is 59.3%.
Availability
Percentage of time the turbine is operational.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Rotor Diameter = 80, Average Wind Speed = 7, Air Density = 1.225, Turbine Efficiency (Cp) = 40 = 5 input(s) provided
  2. Calculate Average Power
    Average Power
    422.41 = 422.41
  3. Calculate Annual Production
    Annual Production
    3515263 = 3515263
  4. Calculate Daily Production
    Daily Production
    9630.9 = 9630.9
  5. Calculate Swept Area
    Swept Area
    5026.5 = 5026.5

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does doubling wind speed more than double the power output?

Power is proportional to wind speed cubed in this formula, so doubling wind speed multiplies power by 2³, or 8 times — going from 5 m/s to 10 m/s at the same rotor and efficiency turns a modest output into a much larger one. This cubic relationship is why turbine siting, hub height, and even small differences in average site wind speed matter so much more than they might first appear.

What is the Betz limit and how does it relate to the Turbine Efficiency (Cp) input?

The Betz limit is the theoretical maximum fraction of wind's kinetic energy any turbine can extract — 59.3% — because some airflow must keep moving past the rotor for the turbine to keep working at all. The Cp input caps at 59 here to respect that physical ceiling, and real utility-scale turbines typically run their Cp in the 35-45% range under normal operating conditions, well short of the theoretical maximum.

Why might my turbine's real annual production differ from this calculator's estimate?

The calculator uses a single average wind speed throughout rather than integrating power across the full distribution of wind speeds a site actually experiences over a year. Because power scales with the cube of speed, gustier high-speed periods contribute disproportionately more energy than the average alone suggests, so a single-average calculation like this one will generally underestimate real-world annual production compared to a Weibull-based assessment.

How is swept area calculated from rotor diameter?

Swept area treats the spinning blades as tracing a circle, computed as π times the radius squared, where radius is half the rotor diameter you enter. This is the disc-shaped cross-section of air the rotor intercepts, and it's the area term multiplied directly into the power equation — a larger rotor captures proportionally more wind at the same wind speed.

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