Unit Power of Hydroelectric Power Plant 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%
✖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%

✖The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit.ⓘ Unit Power of Hydroelectric Power Plant [P_u]

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Formula

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Unit Power of Hydroelectric Power Plant

Formula

`"P"_{"u"} = ("P"_{"h"}/1000)/"H"^(3/2)`

Example

`"1.301593"=("5145kW"/1000)/("250m")^(3/2)`

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Unit Power of Hydroelectric Power Plant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)
P_u = (P_h/1000)/H^(3/2)
This formula uses 3 Variables

Variables Used

Unit Power - The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit.
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.
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

Hydroelectric Power: 5145 Kilowatt --> 5145000 Watt (Check conversion here)
Fall Height: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = (P_h/1000)/H^(3/2) --> (5145000/1000)/250^(3/2)

Evaluating ... ...

P_u = 1.30159348492531

STEP 3: Convert Result to Output's Unit

1.30159348492531 --> No Conversion Required

FINAL ANSWER

1.30159348492531 ≈ 1.301593 <-- Unit Power

(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

Unit Power of Hydroelectric Power Plant Formula

Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)
P_u = (P_h/1000)/H^(3/2)

What is the working principle of Hydro Power Plant?

Hydro power plants use falling water to turn a turbine, which is connected to a generator that produces electricity. Water is stored in a reservoir, flows through a penstock, and drives the turbine, with the spinning turbine shaft connected to a generator that produces electricity.

How to Calculate Unit Power of Hydroelectric Power Plant?

Unit Power of Hydroelectric Power Plant calculator uses Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2) to calculate the Unit Power, The Unit Power of Hydroelectric Power Plant formula is defined as the power of a geometrically similar turbine working under a head of 1m. Unit Power is denoted by P_u symbol.

How to calculate Unit Power of Hydroelectric Power Plant using this online calculator? To use this online calculator for Unit Power of Hydroelectric Power Plant, enter Hydroelectric Power (P_h) & Fall Height (H) and hit the calculate button. Here is how the Unit Power of Hydroelectric Power Plant calculation can be explained with given input values -> 1.301593 = (5145000/1000)/250^(3/2).

FAQ

What is Unit Power of Hydroelectric Power Plant?

The Unit Power of Hydroelectric Power Plant formula is defined as the power of a geometrically similar turbine working under a head of 1m and is represented as P_u = (P_h/1000)/H^(3/2) or Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2). Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine & 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 Unit Power of Hydroelectric Power Plant?

The Unit Power of Hydroelectric Power Plant formula is defined as the power of a geometrically similar turbine working under a head of 1m is calculated using Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2). To calculate Unit Power of Hydroelectric Power Plant, you need Hydroelectric Power (P_h) & Fall Height (H). With our tool, you need to enter the respective value for Hydroelectric Power & Fall Height 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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