A small town with a demand of 800 kW of electric power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two line wires carrying power is `0.5 Omega` per km. The town gets power from the lines through a 4000-220 V step down transformer at a substation in the town.
Estimate the line power loss in the form of heat.
(b) How much power must the plant supply. assuming there is negligible power loss due to leakage?
(c) Characterize the step up transformer at the plant.

Explanation

Generating power of Electric plant = 800
kW at V = 220 V
Distance = 15 km,
Generating voltage = 440 V
Resistance/length `= 0.5 Omega//km`
Primary voltage VP = 4000 V
Secondary voltage Vs = 220 V
If there is no power loss due to leakage the plant supply should be `= 800 + 600 = 1400 KW`