Question 4.1: A 220 V, 50 kW dc shunt generator was run as a motor on no l...
A 220 V, 50 kW dc shunt generator was run as a motor on no load at rated speed. The current drawn from the line was 8 A and the shunt field current was 2 A. The armature resistance of the machine is 0.1 Ω. Calculate the efficiency of the generator at full load.
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Input power at no load = VI
= 220 × 8
= 1760 W
Iron, friction and windage, and field copper losses = No-load input – I_{ao} \ ^{2} R_{a}
= 1760 − 6² × 0.1
= 1760 − 3.6
= 1756.4 W
These are constant losses.
Note that I_{ao} \ ^{2} R_{a} loss in the armature at no load is very small.
The generator is rated at 50 kW and 220 V.
The generator output current at full load.
=\frac{50 × 1000}{220}= 227.2 A
Full-load armature Copper loss = I_{a} \ ^{2} R_{a}
= (229.2)² × 0.1
= 5253 W
This is the variable loss.
Efficiency of the generator in percentage = Output/(Output + Constant losses + Variable loss)
=\frac{50 × 1000 × 100}{50 × 1000 + 1756.4 + 5253}
= 89 per cent

