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Specific Speed of Turbine of Hydroelectric Power Plant Calculator

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✖Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.ⓘ Working Speed [N]			+10% -10%
✖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%

✖Specific Speed of a geometrically similar turbine which would produce unit power (one kilowatt) under unit head (one meter) to the point of maximum efficiency.ⓘ Specific Speed of Turbine of Hydroelectric Power Plant [N_S]

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Specific Speed of Turbine of Hydroelectric Power Plant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)
N_S = (N*sqrt(P_h/1000))/H^(5/4)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Specific Speed - (Measured in Radian per Second) - Specific Speed of a geometrically similar turbine which would produce unit power (one kilowatt) under unit head (one meter) to the point of maximum efficiency.
Working Speed - (Measured in Radian per Second) - Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.
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

Working Speed: 350 Revolution per Minute --> 36.6519142900145 Radian per Second (Check conversion here)
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

N_S = (N*sqrt(P_h/1000))/H^(5/4) --> (36.6519142900145*sqrt(5145000/1000))/250^(5/4)

Evaluating ... ...

N_S = 2.64462647333344

STEP 3: Convert Result to Output's Unit

2.64462647333344 Radian per Second -->25.2543225530482 Revolution per Minute (Check conversion here)

FINAL ANSWER

25.2543225530482 ≈ 25.25432 Revolution per Minute <-- Specific Speed

(Calculation completed in 00.004 seconds)

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< Hydroelectric Power Plant Calculators

Energy Produced by Hydroelectric Power Plant

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

Head or Height of Fall of Water given Power

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

Flow Rate of Water given Power

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

Energy Produced by Hydroelectric Power Plant given Power

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

Specific Speed of Turbine of Hydroelectric Power Plant Formula

LaTeX Go

Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)
N_S = (N*sqrt(P_h/1000))/H^(5/4)

What is the range of speed of Hydro Power Plant?

Most hydro power plants use either Francis, Kaplan, or Pelton turbines, each of which has a different operating range. Generally speaking, Francis turbines operate at speeds between 100 and 600 revolutions per minute (rpm), while Kaplan turbines operate at speeds between 100 and 250 rpm. Pelton turbines, on the other hand, operate at much higher speeds, typically between 500 and 1,500 rpm.

How to Calculate Specific Speed of Turbine of Hydroelectric Power Plant?

Specific Speed of Turbine of Hydroelectric Power Plant calculator uses Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4) to calculate the Specific Speed, The Specific Speed of Turbine of Hydroelectric Power Plant formula is defined as a parameter that is used to describe the performance characteristics of the turbine in a hydroelectric power plant. It is defined as the speed at which a geometrically similar turbine of unit size would operate if it were to be used in a unit of water power under unit head. Specific Speed is denoted by N_S symbol.

How to calculate Specific Speed of Turbine of Hydroelectric Power Plant using this online calculator? To use this online calculator for Specific Speed of Turbine of Hydroelectric Power Plant, enter Working Speed (N), Hydroelectric Power (P_h) & Fall Height (H) and hit the calculate button. Here is how the Specific Speed of Turbine of Hydroelectric Power Plant calculation can be explained with given input values -> 241.161 = (36.6519142900145*sqrt(5145000/1000))/250^(5/4).

FAQ

What is Specific Speed of Turbine of Hydroelectric Power Plant?

The Specific Speed of Turbine of Hydroelectric Power Plant formula is defined as a parameter that is used to describe the performance characteristics of the turbine in a hydroelectric power plant. It is defined as the speed at which a geometrically similar turbine of unit size would operate if it were to be used in a unit of water power under unit head and is represented as N_S = (N*sqrt(P_h/1000))/H^(5/4) or Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4). Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output, 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 Specific Speed of Turbine of Hydroelectric Power Plant?

The Specific Speed of Turbine of Hydroelectric Power Plant formula is defined as a parameter that is used to describe the performance characteristics of the turbine in a hydroelectric power plant. It is defined as the speed at which a geometrically similar turbine of unit size would operate if it were to be used in a unit of water power under unit head is calculated using Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4). To calculate Specific Speed of Turbine of Hydroelectric Power Plant, you need Working Speed (N), Hydroelectric Power (P_h) & Fall Height (H). With our tool, you need to enter the respective value for Working Speed, 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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