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Question

A separately excited dc generator running at a speed of 1500 rpm delivers 150 A at 400 V to constant resistive load. The armature resistance of generator is 0.12Ω.If the current is reduced to 100 A and the armature reaction to be neglected, the speed of the generator will be nearly.

A
2000 rpm
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B
1001 rpm
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C
1500 rpm
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D
650 rpm
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Solution

The correct option is B 1001 rpm
Vt1=400V;Ia1=150A
Ra=0.12Ω;N1=1500rpm
The value pf load resistance,
RL=400150=2.67Ω
Load current 100 A, the terminal voltage,
Vt2=100×RL=100×2.67=267V
Ia2=100A;Ra=0.12Ω
Eg=ϕNZ60×(PA)EgαN
Eg1Eg2=N1N2=Vt1+Ia1RaVt2+Ia2Ra
400+150×0.12267+100×0.12=1500N2
N2=1001.19rpm

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