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Q. Series generator having a combined armature and field resistance of 0.4? is running at 1000 r.p.m. and delivering 5.5kw at terminal voltage of 110 V. If the speed is raised to 1500 rpm and load is adjusted to 10 kw. Find the new current and terminal voltage. Assume that machine is working on the straight line portion of the magnetization characteristics.
Sol. Given P1 = 5.5kw
V1 = 110V
Thus load current P1/V1 = 5500/110 = 50A
Now generated voltage will be (when N1 = 1000rpm)
Eg1 = V1 + I1 (ra + rsc) = 110 + 50 × 0.4
Let at 1500 rpm, current supplied by generator at terminal voltage V2 is I2
V2 = P2/I2 = 10000/I2
Generated voltage Eg2 = V2+ I2(ra + rsc) =10000/I2 + 0.4I2
As Eg ?Φ
or Eg2/Eg1 = Φ2/Φ1 × N2/N1 = N2/N1 × I2/I1
or 10000/I2 + 0.41/130 = 1500/1000 × I2/50
or 10000 + 0.4 I22 = 3.9 I22
or 3.5 I22 = 10000
thus I2 = 53.45 A
and V2 = 10000/53.45 = 187.14
Can add vectors using the parallelogram rule Can multiply a vector by a scalar - result is a parallel vector • length is scaled
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