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Question

A 44 MVA, 10.5 kV, Y-connected three-phase salient pole synchronous generator has Xd=1.83Ω and Xq=1.21Ω. It delivers the rated load at 0.8 p.f. lagging. The armature resistance is negligible, the load angle of the given alternator is ______ degrees (upto two decimal places).
  1. 16.69

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Solution

The correct option is A 16.69
Given, 44 MVA, Y-connected, 3ϕ salient pole synchronous generator.

It deliver a rated load at 0.8 p.f. lag,
V=10.5kV,Xd=1.83Ω
Xq=1.21Ω, Y-connected

tanψ=Vsinϕ+IaXqVcosϕ+IaRa

Vph=VL3=6062.17V

Ia=P3VL=44×1063×10.5×103=2419.336.86A

tanψ=(6062.17×0.6)+(2419.3×1.21)(6062.17×0.8)+(2419.3×0)

ψ=53.546

ψ=δ+ϕ

δ=53.54636.86

=16.68616.69

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