If the primary line voltage rating is 3.3 kV (Y side) of a 25 kVA, Y-Δ transformer (the per phase turns ratio is 5: 1), then the line current rating of the secondary side (in Ampere) is _________.
Concept:
In a three-phase system,
Important Point:
In a star-connected three-phase system,
VL = √3 × Vph
And IL = Iph
\({I_{ph}} = \frac{{{V_L}}}{{\surd 3Z}}\)
In a delta connected three-phase system,
VL = Vph
IL = √3 × Iph
\({I_{ph}} = \;\frac{{{V_L}}}{Z}\)
Where,
VL is line voltage
Vph is phase voltage
IL is line current
Iph is phase current
Explanation:
Primary side rating: 3.3 kV(Y), 25 kVA
Phase current in primary side \(= \frac{{25}}{{\sqrt 3 \times 3.3}} = 4.37{\rm{\;A}}\)
Phase turns ratio = 5 : 1
Phase current in secondary side = 5 × 4.374 = 21.87 A
Line current in secondary side \(= 21.87 \times \sqrt 3 = 37.88{\rm{\;A}}\)
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