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Question

A 3 - phase, 3000 kVA, 0.95 lagging pf load is supplied by a Vee connection at 400V. The kVA output and operating power factor angle of both transformers respectively are

A
10009.1kVA and 1009.1kVA
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B
10009.1kVA and 10009.1kVA
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C
173248.19kVA and 173211.89kVA
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D
173248.19kVA and 173211.8kVA
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Solution

The correct option is C 1732∠48.19∘kVA and 1732∠−11.89∘kVAkVA supplies by Vee connection transformer, SVee=1√3×S3−ϕ=3000√3=1732 kVA p.f angle of transformer-1 =ϕ+30∘=cos−1(0.95)+30∘=48.19∘ cos ϕ1=cos48.19∘=0.67 lagging p.f. angle of transformer-2 =ϕ−30∘=cos−1(0.95)−30∘=−11.8∘ cos ϕ2=cos 11.8∘=0.98 leading →S1=1732∠48.19∘ kVA →S2=1732∠−11.8∘kVA

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