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Wind Power Formula

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Wind Power or Wind Energy is the use of wind to provide mechanical power through wind turbines to turn electric generators for electrical power. Check FAQs

P wind = 0.5 \cdot %η \cdot ρ air \cdot A blade \cdot {V wind}^{3}

P_wind - Wind Power?%η - Plant Efficiency?ρ_air - Air Density?A_blade - Blade Area?V_wind - Wind Speed?

Wind Power Example

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With units

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Here is how the Wind Power equation looks like with Values.

Here is how the Wind Power equation looks like with Units.

Here is how the Wind Power equation looks like.

170170.875 = 0.5 \cdot 75 \cdot 1.225 \cdot 50 \cdot 42^{3}

170170.875kW = 0.5 \cdot 75 \cdot 1.225kg/m³ \cdot 50m² \cdot {42m/s}^{3}

170170.875 = 0.5 \cdot 75 \cdot 1.225 \cdot 50 \cdot 42^{3}

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Wind Power Solution

Follow our step by step solution on how to calculate Wind Power?

FIRST Step Consider the formula

P wind = 0.5 \cdot %η \cdot ρ air \cdot A blade \cdot {V wind}^{3}

Next Step Substitute values of Variables

∴

P wind = 0.5 \cdot 75 \cdot 1.225kg/m³ \cdot 50m² \cdot {42m/s}^{3}

Next Step Prepare to Evaluate

∴

P wind = 0.5 \cdot 75 \cdot 1.225 \cdot 50 \cdot 42^{3}

Next Step Evaluate

∴

P wind = 170170875W

LAST Step Convert to Output's Unit

∴

P wind = 170170.875kW

Wind Power Formula Elements

Variables

Wind Power

Wind Power or Wind Energy is the use of wind to provide mechanical power through wind turbines to turn electric generators for electrical power.

Symbol: P_wind

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Wind Power

Plant Efficiency

Plant Efficiency is defined as the percentage of input power (can be in any form like wind, solar, thermal) to the output power (can only be electricity).

Symbol: %η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Plant Efficiency

Air Density

Air Density is the mass per unit volume of Earth's atmosphere. Air density is air pressure, decreases with increasing altitude.

Symbol: ρ_air

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Air Density

Blade Area

Blade Area refers to the total area swept by the blade of a wind turbine.

Symbol: A_blade

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Blade Area

Wind Speed

Wind Speed is defined as the speed of wind corresponding to a 3-s gust speed at 33 ft above the ground in Exposure C.

Symbol: V_wind

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed

Other formulas in Power Plant Operational Factors category

Go Average Load for Load Curve

Avg Load = \frac{A L}{24}

Go Load Factor given Average Load and Maximum Demand

Load Factor = \frac{Avg Load}{Max Demand}

Go Unit Generated per Annum

P g = Max Demand \cdot Load Factor \cdot 8760

Go Demand Factor

Demand Factor = \frac{Max Demand}{Connected Load}

How to Evaluate Wind Power?

Wind Power evaluator uses Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3 to evaluate the Wind Power, The Wind power formula is defined as the half of product of the swept area of the blade, qube of wind speed, air density. Wind Power is denoted by P_wind symbol.

How to evaluate Wind Power using this online evaluator? To use this online evaluator for Wind Power, enter Plant Efficiency (%η), Air Density (ρ_air), Blade Area (A_blade) & Wind Speed (V_wind) and hit the calculate button.

FAQs on Wind Power

What is the formula to find Wind Power?

The formula of Wind Power is expressed as Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3. Here is an example- 170.1709 = 0.5*75*1.225*50*42^3.

How to calculate Wind Power?

With Plant Efficiency (%η), Air Density (ρ_air), Blade Area (A_blade) & Wind Speed (V_wind) we can find Wind Power using the formula - Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3.

Can the Wind Power be negative?

No, the Wind Power, measured in Power cannot be negative.

Which unit is used to measure Wind Power?

Wind Power is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Wind Power can be measured.

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Wind Power Formula

Wind Power Example

Wind Power Solution

Wind Power Formula Elements

Other formulas in Power Plant Operational Factors category

How to Evaluate Wind Power?

FAQs on Wind Power

Variable Name