Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Hydropower

Water - power potential, head and flow rate

Sponsored Links

Online Hydro-power Calculator

The calculator below can be used to calculate available hydroelectricity power.

density (kg/m3)

efficiency

volume flow (m3/s)

head (m)

The theoretically power available from falling water can be expressed as

Pth = ρ q g h                      (1)

where

Pth = power theoretically available (W)

ρ = density (kg/m3) (~ 1000 kg/m3 for water)

q = water flow (m3/s)

g = acceleration of gravity (9.81 m/s2)

h = falling height, head (m)

hydropower, volume flow, head and power generation

Example - Hydro-power

The theoretically power available from a flow of 1 m3/s water with a fall of 100 m can be calculated as

P = (1000 kg/m3) (1 m3/s) (9.81 m/s2) (100 m)

  = 981 000 W

  = 981 kW

Efficiency

Due to energy loss the practically available power will be less than the theoretically power. Practically available power can be expressed as

Pa = μ ρ q g h                (2)

where

Pa = power available (W)

μ = efficiency (in general in the range 0.75 to 0.95)

Energy from Hydro-power

The potential theoretical energy in a volume of elevated water can be calculated

W = ρ V g h                      (3)

where

W = energy (J)

V = volume of water (m3)

Example - Energy in Elevated Water Volume

A water volume of 10 m3 is elevated 10 m above a turbine. The potential energy in the water volume can be calculated as

W = (1000 kg/m3) (10 m3) (9.81 m/s2) (10 m)

   = 981000 J (Ws)

   = 981 kJ (kWs)

   = 0.27 kWh

Potential Energy in a Tank or Reservoir

Energy water reservoir

You can estimate the total energy in a tank or a reservoir by integrating the potential energies for horizontal segments as done in 

Copy the document to your Google Drive or download it as a spreadsheet to make your own calculations. 

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: hydropower hydroelectricity head turbine waterfall river
  • es: hidroelĂ©ctrica cabeza hidroelectricidad rĂ­o turbina cascada
  • de: Wasserkraft Wasserkraft Turbine Kopf Fluss Wasserfall
Sponsored Links

Search the Engineering ToolBox

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!
.

close

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Scientific Online Calculator

Scientific Calculator

1 19

Sponsored Links