Efficiency of Turbine given Energy Calculator

✖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 [E]			+10% -10%
✖Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.ⓘ Water Density [ρ_w]			+10% -10%
✖Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.ⓘ Flow Rate [Q]			+10% -10%
✖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.ⓘ Fall Height [H]			+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%

✖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.ⓘ Efficiency of Turbine given Energy [η]

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Formula

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Efficiency of Turbine given Energy

Formula

`"η" = "E"/("[g]"*"ρ"_{"w"}*"Q"*"H"*"t")`

Example

`"0.799454"="36056MW*h"/("[g]"*"1000kg/m³"*"2.1m³/s"*"250m"*"8760h")`

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Download Hydroelectric Power Plant Formulas PDF

Efficiency of Turbine given Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)
η = E/([g]*ρ_w*Q*H*t)
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
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.
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

Energy: 36056 Megawatt-Hour --> 129801600000000 Joule (Check conversion here)
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
Operating Time per Year: 8760 Hour --> 31536000 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = E/([g]*ρ_w*Q*H*t) --> 129801600000000/([g]*1000*2.1*250*31536000)

Evaluating ... ...

η = 0.799453963364474

STEP 3: Convert Result to Output's Unit

0.799453963364474 --> No Conversion Required

FINAL ANSWER

0.799453963364474 ≈ 0.799454 <-- Turbine Efficiency

(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

Efficiency of Turbine given Energy Formula

Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)
η = E/([g]*ρ_w*Q*H*t)

What is a Hydroelectric Power Plant?

A hydroelectric power plant is a facility that generates electricity by harnessing the energy of falling water. The basic components of a hydroelectric power plant include a dam, reservoir, turbine, generator, and transmission lines.

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 Efficiency of Turbine given Energy?

Efficiency of Turbine given Energy calculator uses Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year) to calculate the Turbine Efficiency, The Efficiency of Turbine given Energy formula is defined as the ratio of the electrical energy output to the mechanical energy input. It represents the percentage of the potential energy of the falling water that is successfully converted into usable electrical energy. Turbine Efficiency is denoted by η symbol.

How to calculate Efficiency of Turbine given Energy using this online calculator? To use this online calculator for Efficiency of Turbine given Energy, enter Energy (E), Water Density (ρ_w), Flow Rate (Q), Fall Height (H) & Operating Time per Year (t) and hit the calculate button. Here is how the Efficiency of Turbine given Energy calculation can be explained with given input values -> 0.799454 = 129801600000000/([g]*1000*2.1*250*31536000).

FAQ

What is Efficiency of Turbine given Energy?

The Efficiency of Turbine given Energy formula is defined as the ratio of the electrical energy output to the mechanical energy input. It represents the percentage of the potential energy of the falling water that is successfully converted into usable electrical energy and is represented as η = E/([g]*ρ_w*Q*H*t) or Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year). 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 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 & 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 Efficiency of Turbine given Energy?

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