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Wind Power Calculator

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✖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).ⓘ Plant Efficiency [%η]			+10% -10%
✖Air Density is the mass per unit volume of Earth's atmosphere. Air density is air pressure, decreases with increasing altitude.ⓘ Air Density [ρ_air]			+10% -10%
✖Blade Area refers to the total area swept by the blade of a wind turbine.ⓘ Blade Area [A_blade]			+10% -10%
✖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.ⓘ Wind Speed [V_wind]			+10% -10%

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

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Wind Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3
P_wind = 0.5*%η*ρ_air*A_blade*V_wind^3
This formula uses 5 Variables

Variables Used

Wind Power - (Measured in Watt) - Wind Power or Wind Energy is the use of wind to provide mechanical power through wind turbines to turn electric generators for electrical 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).
Air Density - (Measured in Kilogram per Cubic Meter) - Air Density is the mass per unit volume of Earth's atmosphere. Air density is air pressure, decreases with increasing altitude.
Blade Area - (Measured in Square Meter) - Blade Area refers to the total area swept by the blade of a wind turbine.
Wind Speed - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Plant Efficiency: 75 --> No Conversion Required
Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Blade Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Wind Speed: 42 Meter per Second --> 42 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_wind = 0.5*%η*ρ_air*A_blade*V_wind^3 --> 0.5*75*1.225*50*42^3

Evaluating ... ...

P_wind = 170170875

STEP 3: Convert Result to Output's Unit

170170875 Watt -->170170.875 Kilowatt (Check conversion here)

FINAL ANSWER

170170.875 ≈ 170170.9 Kilowatt <-- Wind Power

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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< Power Plant Operational Factors Calculators

Unit Generated per Annum

LaTeX Go Units Generated = Maximum Demand*Load Factor*8760

Demand Factor

LaTeX Go Demand Factor = Maximum Demand/Connected Load

Load Factor given Average Load and Maximum Demand

LaTeX Go Load Factor = Average Load/Maximum Demand

Average Load for Load Curve

LaTeX Go Average Load = Load Curve Area/24

Wind Power Formula

LaTeX Go

Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3
P_wind = 0.5*%η*ρ_air*A_blade*V_wind^3

What does wind energy depend on?

Wind energy depends mainly on the wind resource.The three main factors that influence power output are wind speed, air density, and blade radius.

How to Calculate Wind Power?

Wind Power calculator uses Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3 to calculate 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 calculate Wind Power using this online calculator? To use this online calculator for Wind Power, enter Plant Efficiency (%η), Air Density (ρ_air), Blade Area (A_blade) & Wind Speed (V_wind) and hit the calculate button. Here is how the Wind Power calculation can be explained with given input values -> 170.1709 = 0.5*75*1.225*50*42^3.

FAQ

What is 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 and is represented as P_wind = 0.5*%η*ρ_air*A_blade*V_wind^3 or Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3. 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), Air Density is the mass per unit volume of Earth's atmosphere. Air density is air pressure, decreases with increasing altitude, Blade Area refers to the total area swept by the blade of a wind turbine & 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.

How to calculate 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 is calculated using Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3. To calculate Wind Power, you need Plant Efficiency (%η), Air Density (ρ_air), Blade Area (A_blade) & Wind Speed (V_wind). With our tool, you need to enter the respective value for Plant Efficiency, Air Density, Blade Area & Wind Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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