Two 550 kVA alternators operates in parallel to supply following loads :

i. 250 kW at 0.95 p.f. lagging

ii. 100 kW at 0.85 p.f. leading

If one machine is supplying 200 kW at 0.9 p.f. lagging, then p.f. of other machine will be

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UPPSC AE Electrical 29 May 2022 Official Paper I
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  1. 0.95 leading
  2. 0.95 lagging
  3. 0.89 leading
  4. 0.89 lagging

Answer (Detailed Solution Below)

Option 3 : 0.89 leading
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Detailed Solution

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Concept:

Therefore total kVA supplied by generators = Total kVA consumed by loads

Calculation:

222.22 ∠25.84° + S2 =  263.15 ∠18.19° + 117.64 ∠-31.78° 

200 + j 96.85 + S2 = 250 + j 82.14 + 100 - j 61.95

S2 = 150 - j 76.66 

cosϕ = 0.89 leading

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