Hydroelectric Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
Ph = [g]*ρw*Q*H
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ph = [g]*ρw*Q*H --> [g]*1000*2.1*250
Evaluating ... ...
Ph = 5148491.25
STEP 3: Convert Result to Output's Unit
5148491.25 Watt -->5148.49125 Kilowatt (Check conversion here)
FINAL ANSWER
5148.49125 5148.491 Kilowatt <-- Hydroelectric 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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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

Hydroelectric Power Formula

Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
Ph = [g]*ρw*Q*H

Who invented hydroelectricity?

In 1878, the world's first hydroelectric power scheme was developed at Cragside in Northumberland, England by William Armstrong. It was used to power a single arc lamp in his art gallery.

How to Calculate Hydroelectric Power?

Hydroelectric Power calculator uses Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height to calculate the Hydroelectric Power, The Hydroelectric Power formula is defined the conversion of the kinetic energy of falling or flowing water into electrical energy by means of a turbine connected to a generator. Hydroelectric Power is denoted by Ph symbol.

How to calculate Hydroelectric Power using this online calculator? To use this online calculator for Hydroelectric Power, enter Water Density w), Flow Rate (Q) & Fall Height (H) and hit the calculate button. Here is how the Hydroelectric Power calculation can be explained with given input values -> 5.148491 = [g]*1000*2.1*250.

FAQ

What is Hydroelectric Power?
The Hydroelectric Power formula is defined the conversion of the kinetic energy of falling or flowing water into electrical energy by means of a turbine connected to a generator and is represented as Ph = [g]*ρw*Q*H or Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. 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.
How to calculate Hydroelectric Power?
The Hydroelectric Power formula is defined the conversion of the kinetic energy of falling or flowing water into electrical energy by means of a turbine connected to a generator is calculated using Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height. To calculate Hydroelectric Power, you need Water Density w), Flow Rate (Q) & Fall Height (H). With our tool, you need to enter the respective value for Water Density, Flow Rate & Fall Height 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 Hydroelectric Power?
In this formula, Hydroelectric Power uses Water Density, Flow Rate & Fall Height. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
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