Wind Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3
Pwind = 0.5**ρair*Ablade*Vwind^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
Pwind = 0.5*%η*ρair*Ablade*Vwind^3 --> 0.5*75*1.225*50*42^3
Evaluating ... ...
Pwind = 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)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
Prahalad Singh has created this Calculator and 100+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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15 Power Plant Operational Factors Calculators

Wind Power
Go Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3
Utilisation Factor of Plant
Go Utilisation Factor = Maximum Demand/Plant Capacity
Unit Generated per Annum
Go Units Generated = Maximum Demand*Load Factor*8760
Diversity Factor
Go Diversity Factor = Combined Demand/Maximum Demand
Plant Use Factor
Go Plant Use Factor = Maximum Demand/Plant Capacity
Reserve Capacity
Go Reserve Capacity = Plant Capacity-Maximum Demand
Plant Capacity Factor
Go Capacity Factor = Average Demand/Plant Capacity
Maximum Demand using Demand Factor
Go Maximum Demand = Demand Factor*Connected Load
Demand Factor
Go Demand Factor = Maximum Demand/Connected Load
Operation Factor
Go Operation Factor = Working Time/Total Time
Load Factor given Average Load and Maximum Demand
Go Load Factor = Average Load/Maximum Demand
Maximum Demand given Load Factor
Go Maximum Demand = Average Load/Load Factor
Average Load
Go Average Load = Maximum Demand*Load Factor
Coincidence Factor
Go Coincidence Factor = 1/Diversity Factor
Average Load for Load Curve
Go Average Load = Load Curve Area/24

Wind Power Formula

Wind Power = 0.5*Plant Efficiency*Air Density*Blade Area*Wind Speed^3
Pwind = 0.5**ρair*Ablade*Vwind^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 Pwind symbol.

How to calculate Wind Power using this online calculator? To use this online calculator for Wind Power, enter Plant Efficiency (%η), Air Density air), Blade Area (Ablade) & Wind Speed (Vwind) 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 Pwind = 0.5*%η*ρair*Ablade*Vwind^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 air), Blade Area (Ablade) & Wind Speed (Vwind). 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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