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Question

# A 4 MVA, 6.6 kV 3-phase star connected, synchronous generator has 16-poles. Its direct and quadrature axis synchronous reactances are 10 Ω and 4 Ω respectively. Generator is supplying full load at 0.8 pf lagging. Which of the below given statements are true?

A
The value of reluctance power, P is 1.2 MW.
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B
The reluctance power is dependent on the direct axis reactance and quadrature axis reactance.
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C
The value of armature current will be 350 A.
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D
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Solution

## The correct option is C The value of armature current will be 350 A.Reluctance power, P=V2(Xd−Xq2XdXq)sin2δ Excitation emf, −→Ef=→V+j→IaXq Armature current, Ia=4×106√3×6600=350 A −→Ef=6600√3+j(350∠−cos−1(0.8))×4 =4783.48∠13.54∘ V Load angle, δ=13.54∘ Reluctance power, P=(6600)2[10−42×10×4]sin(2×13.54) P=1.487MW

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