How long could a 25 HP vehicle operate on the electrical ene

How long could a 25 HP vehicle operate on the electrical energy generated in one day by a 15% efficient PV system? Assume an energy production factor (on a daily basis) of 0.2, collector area of 1 times 4 m, and a motor-battery overall efficiency of 70%. Also assume an average insolation of 900 W/sq. meter when the sun is shining.

Solution

Average insolation of the sun = 900 W / sq. m

Total collector area = 1 * 4 = 4 m^2

Therefore total energy produced = 900 * 4 = 3600 watts

Constraints : Energy production factor and Overall efficiency of the motor battery

Usable wnergy = 0.2 * 3600 = 720 watts

Efficiency of the motor- battery = 70%

Therefore, Motor battery power / Electrical energy produced (usable) = 70 %

Therefore, Motor Battery power = 720 * 0.7 = 504 watts

1 HP = 735 watts, 25HP = 18375

Efficiency of the vehicle = 0.15

Therefore, the power consumed by the vehicle from the source is 0.15 * 504 = 75.6 watts

waats is energy per second

Therefore time duration for which the vehicle is operated = 75.6 / 18375 = 4 milli seconds