Energy Produced by Hydroelectric Power Plant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year
E = [g]*ρw*Q*H*η*t
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.
Flow Rate - (Measured in Cubic Meter per Second) - Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.
Fall Height - (Measured in Meter) - Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to 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
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Flow Rate: 2.1 Cubic Meter per Second --> 2.1 Cubic Meter per Second No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required
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 = [g]*ρw*Q*H*η*t --> [g]*1000*2.1*250*0.8*31536000
Evaluating ... ...
E = 129890256048000
STEP 3: Convert Result to Output's Unit
129890256048000 Joule -->36080.62668 Megawatt-Hour (Check conversion here)
FINAL ANSWER
36080.62668 36080.63 Megawatt-Hour <-- Energy
(Calculation completed in 00.004 seconds)

Credits

Created by Nisarg
Indian Institute of Technology,Roorlee (IITR), Roorkee
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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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 Formula

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

Energy Produced by Hydroelectric Power Plant calculator uses Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year to calculate the Energy, The Energy Produced by Hydroelectric Power Plant 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 using this online calculator? To use this online calculator for Energy Produced by Hydroelectric Power Plant, enter Water Density w), Flow Rate (Q), Fall Height (H), Turbine Efficiency (η) & Operating Time per Year (t) and hit the calculate button. Here is how the Energy Produced by Hydroelectric Power Plant calculation can be explained with given input values -> 1E-5 = [g]*1000*2.1*250*0.8*31536000.

FAQ

What is Energy Produced by Hydroelectric Power Plant?
The Energy Produced by Hydroelectric Power Plant 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 = [g]*ρw*Q*H*η*t or Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year. Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant, Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment, Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to 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?
The Energy Produced by Hydroelectric Power Plant 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 = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year. To calculate Energy Produced by Hydroelectric Power Plant, you need Water Density w), Flow Rate (Q), Fall Height (H), Turbine Efficiency (η) & Operating Time per Year (t). With our tool, you need to enter the respective value for Water Density, Flow Rate, Fall Height, 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 Water Density, Flow Rate, Fall Height, Turbine Efficiency & Operating Time per Year. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
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