Power Generation/Hydro Power/Part4

Below are equations used for calculations involving this kind of power station:

Weight of the water head:

$$W = ( Volume \times density )= V{\rho}$$ (in Kg) ... Equation 3.1

The potential energy of the water head:

$$E_{potential} = mgh$$(in Joules) ... Equation 3.2

Thus the equivelent electrical energy will be:

$$E_{Electrical} = \frac{E_{potential}}{36\times 10^5_.J}$$(in kWh) ... Equation 3.3

Electrical enegry can also be expressed as:

$$E_{Electrical} = \frac{WH{\eta}_{overall}}{(3600.sec \times 1000)}$$(in kWh) ... Equation 3.4

Where:
 * m = mass (in Kg)
 * g = constant ≈$$9.8m.s^{-2}$$
 * h/H = water head height (metres)
 * ρ = density of water ($$m^3$$)