Question Solved1 AnswerA 800 V, 120kVA, Y-connected, 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 N and 1.101, 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 (af) when the generator delivers its rated kVA at 0.85 lagging power factor and rated terminal voltage.

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Transcribed Image Text: A 800 V, 120kVA, Y-connected, 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 N and 1.101, 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 (af) when the generator delivers its rated kVA at 0.85 lagging power factor and rated terminal voltage.
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Transcribed Image Text: A 800 V, 120kVA, Y-connected, 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 N and 1.101, 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 (af) when the generator delivers its rated kVA at 0.85 lagging power factor and rated terminal voltage.
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a) Phasor DiagramPhasor eqhs{:[E^(')=V+J^(˙)I_(a)xx q],[E_(f)=E^(')+I_(d)(x_(d)∼x_(q))],[d^(-ax^(i))q^(i)quadE_(f)=v+jI_(a)x_(q)+jI_(q)(x_(q)-x_(q))]:}bx given{:[x_(d)=1.95],[x_(q)=1.10],[E^(')= vec(v)+j^(˙)I_(a)x_(q)],[E^(')=(800)/(sqrt3)10+j(86.61-31.7)1.1],[E^(')=518.3118.9" volt "],[E_(f)=E^(')+I_(d)(x_ ... See the full answer