Energy Produced by Hydroelectric Power Plant given Power Calculator

✖Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.ⓘ Hydroelectric Power [P_h]			+10% -10%
✖Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input.ⓘ Turbine Efficiency [η]			+10% -10%
✖Operating time per year in a hydroelectric plant can vary depending on a number of factors such as the size of the plant, the availability of water, and the demand for electricity.ⓘ Operating Time per Year [t]			+10% -10%

✖Energy generated by a hydroelectric plant depends on several factors, including the head of water, the flow rate of the water, and the efficiency of the turbine and generator.ⓘ Energy Produced by Hydroelectric Power Plant given Power [E]

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Energy Produced by Hydroelectric Power Plant given Power

Formula

`"E" = "P"_{"h"}*"η"*"t"`

Example

`"36056.16MW*h"="5145kW"*"0.8"*"8760h"`

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Download Hydroelectric Power Plant Formulas PDF

Energy Produced by Hydroelectric Power Plant given Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
E = P_h*η*t
This formula uses 4 Variables

Variables Used

Energy - (Measured in Joule) - Energy generated by a hydroelectric plant depends on several factors, including the head of water, the flow rate of the water, and the efficiency of the turbine and generator.
Hydroelectric Power - (Measured in Watt) - Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.
Turbine Efficiency - Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input.
Operating Time per Year - (Measured in Second) - Operating time per year in a hydroelectric plant can vary depending on a number of factors such as the size of the plant, the availability of water, and the demand for electricity.

STEP 1: Convert Input(s) to Base Unit

Hydroelectric Power: 5145 Kilowatt --> 5145000 Watt (Check conversion here)
Turbine Efficiency: 0.8 --> No Conversion Required
Operating Time per Year: 8760 Hour --> 31536000 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = P_h*η*t --> 5145000*0.8*31536000

Evaluating ... ...

E = 129802176000000

STEP 3: Convert Result to Output's Unit

129802176000000 Joule -->36056.16 Megawatt-Hour (Check conversion here)

FINAL ANSWER

36056.16 Megawatt-Hour <-- Energy

(Calculation completed in 00.004 seconds)

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< 23 Hydroelectric Power Plant Calculators

Dimensionless Specific Speed

Go Dimensionless Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/(sqrt(Water Density)*([g]*Fall Height)^(5/4))

Efficiency of Turbine given Energy

Go Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)

Energy Produced by Hydroelectric Power Plant

Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year

Specific Speed of Turbine of Hydroelectric Power Plant

Go Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)

Velocity of Jet from Nozzle

Go Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)

Head or Height of Fall of Water given Power

Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)

Specific Speed of Single Jet Machine

Go Specific Speed of Single Jet Machine = Specific Speed of Multi Jet Machine/sqrt(Number of Jets)

Specific Speed of Multi Jet Machine

Go Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine

Flow Rate of Water given Power

Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)

Tidal Energy

Go Tidal Power = 0.5*Area of Base*Water Density*[g]*Fall Height^2

Hydroelectric Power

Go Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height

Energy Produced by Hydroelectric Power Plant given Power

Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year

Height of Fall of Pelton Wheel Turbine Power Plant

Go Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)

Diameter of Bucket

Go Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed)

Speed of Bucket given Diameter and RPM

Go Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60

Number of Jets

Go Number of Jets = (Specific Speed of Multi Jet Machine/Specific Speed of Single Jet Machine)^2

Unit Speed of Turbine

Go Unit Speed = (Working Speed)/sqrt(Fall Height)

Speed of Turbine given Unit Speed

Go Working Speed = Unit Speed*sqrt(Fall Height)

Speed of Bucket given Angular Velocity and Radius

Go Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2

Unit Power of Hydroelectric Power Plant

Go Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)

Power given Unit Power

Go Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)

Jet Ratio of Hydroelectric Power Plant

Go Jet Ratio = Bucket Circle Diameter/Nozzle Diameter

Angular Velocity of Wheel

Go Angular Velocity = (2*pi*Working Speed)/60

Energy Produced by Hydroelectric Power Plant given Power Formula

Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
E = P_h*η*t

What is the significance of Hydroelectric Power Plant?

Hydroelectric power plants are significant because they provide a reliable, cost-effective, and clean source of renewable energy, reducing reliance on fossil fuels. They also offer energy security, flexibility, and environmental benefits, such as flood control and recreation opportunities.

How to Calculate Energy Produced by Hydroelectric Power Plant given Power?

Energy Produced by Hydroelectric Power Plant given Power calculator uses Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year to calculate the Energy, The Energy Produced by Hydroelectric Power Plant given Power formula is defined as electrical energy generated by the force of falling water that is harnessed by turbines and converted into electricity through the operation of generators. Energy is denoted by E symbol.

How to calculate Energy Produced by Hydroelectric Power Plant given Power using this online calculator? To use this online calculator for Energy Produced by Hydroelectric Power Plant given Power, enter Hydroelectric Power (P_h), Turbine Efficiency (η) & Operating Time per Year (t) and hit the calculate button. Here is how the Energy Produced by Hydroelectric Power Plant given Power calculation can be explained with given input values -> 1E-5 = 5145000*0.8*31536000.

FAQ

What is Energy Produced by Hydroelectric Power Plant given Power?

The Energy Produced by Hydroelectric Power Plant given Power formula is defined as electrical energy generated by the force of falling water that is harnessed by turbines and converted into electricity through the operation of generators and is represented as E = P_h*η*t or Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year. Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine, Turbine efficiency is an important factor to consider in the design and operation of a hydroelectric plant. The ratio of the mechanical power output to the hydraulic power input & Operating time per year in a hydroelectric plant can vary depending on a number of factors such as the size of the plant, the availability of water, and the demand for electricity.

How to calculate Energy Produced by Hydroelectric Power Plant given Power?

The Energy Produced by Hydroelectric Power Plant given Power formula is defined as electrical energy generated by the force of falling water that is harnessed by turbines and converted into electricity through the operation of generators is calculated using Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year. To calculate Energy Produced by Hydroelectric Power Plant given Power, you need Hydroelectric Power (P_h), Turbine Efficiency (η) & Operating Time per Year (t). With our tool, you need to enter the respective value for Hydroelectric Power, Turbine Efficiency & Operating Time per Year and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Energy?

In this formula, Energy uses Hydroelectric Power, Turbine Efficiency & Operating Time per Year. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year

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