800 V, 120kVA, 3-phase, 50 Hz, salient-pole synchronous generator is used in a hydroelectric dam, converting water flow into electricity via a turbine. The reactance values (Xd and Xq) are 1.95 Ω and 1.10 Ω, respectively and the terminal current is measured to be 95 A at a power factor of 0.85 lagging. The armature resistance can be considered to be negligible (Ra =0). a) Draw the phasor diagram of the generator, b) Compute the generated voltage (Êaf) when the generator delivers its rated kVA at 0.85 lagging power factor and rated terminal voltage.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
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Chapter3: Magnetic Starters
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A 800 V, 120kVA, 3-phase, 50 Hz, salient-pole synchronous generator is used in a
hydroelectric dam, converting water flow into electricity via a turbine. The reactance
values (Xd and Xq) are 1.95 Ω and 1.10 Ω, respectively and the terminal current is
measured to be 95 A at a power factor of 0.85 lagging. The armature resistance can
be considered to be negligible (Ra =0).
a) Draw the phasor diagram of the generator,
b) Compute the generated voltage (Êaf) when the generator delivers its
rated kVA at 0.85 lagging power factor and rated terminal voltage.  

ANS=Eaf=578.05exp(j9.75°)

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