Subject:- Renewable Energy Sources

Topic:- Wind Energy

Difficulty:- Medium

Determine the wind mill rotor diameter to operate a centrifugal pump which will have a discharge of 40000 litres/day with a total head of 10m. The pump operates for 10 hours in a day. The rated speed of wind is 6m/s. The power coefficient is 0.3. Density of air is $1.2 kg/m^3$.Assume transmission efficiency 95% , pump efficiency as 35%.

Solution :-

Pump discharge, Q=40000 litrers/day

Head, H=10m

Pump operate for 10hrs / day i.e.t=10hrs

Wind speed ,Ci=6m/s

Power coefficient. η =0.3

Density of air, $ϱ = 1.2Kg/m^3$

Transmission efficiency , ηtr=0.95

Pump efficiency ηp =0.35

i) Diameter of rotor of wind mill D:

Power available from wind to pump …