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### Hydraulic Turbine Power Formulae and Calculator

Hydraulic and Pneumatic Design and Engineering

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Hydraulic Turbine Actual Power Formula and Calculator

The actual power of a hydraulic turbine is the theoretical power P_{t} multiplied by the turbine efficiency e.

Equation 1

*P = e P _{t} = ( e · H · Q · w ) / 550*

In the power equation above, power is calculated in horsepower. In the following text, when power P is used in stated equations, it is in horsepower.

Power in Metric Units

Equation 2

*P = e P _{t} = ( e · H · Q · w · 0.746 ) / 101.93*

The metric equation stated above for power calculates power in kilowatts. In the following text, where power P is used in metric equations (shown in parentheses), the power stated in the equations is in kilowatts. [The customary unit of horsepower in the United States should not be confused with the term metric horsepower.

Where:

P = horsepower, HP (kW)

e = overall efficiency of turbine = e_{h}e_{m}

H = net effective head, ft (m)

w = weight of water lb/ft^{3} (kg/m^{3})

Q = discharge, ft^{3}/s (m^{3}/s)

Standard weight of water: 62.4 lb/ft^{3}, ( 28.8622 kg/m^{3} )

Related:

- Wind Power Generation and Wind Power Turbine Design
- Vertical Turbine Pumps
- Power Plant Components
- Hydraulics Field Manual and Training

Source:

Marks Standard Handbook for Engineers, Tenth Edition

Eugene A. Avallone

Theodore Baumeister III