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A 100-MVA, 13 13.2Δ/115YkV13.2 \Delta / 115 \mathrm{Y}-\mathrm{kV} Step-Up Transformer with a Series Impedance Of

Question 14

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A 100-MVA, 13.2-kV three-phase generator, which has a positive-sequence reactance of 1.2 per unit on the generator base, is connected to a 110 -MVA, 13.2Δ/115YkV13.2 \Delta / 115 \mathrm{Y}-\mathrm{kV} step-up transformer with a series impedance of (0.005+j0.1)(0.005+j 0.1) per unit on its own base. (a) Calculate the per-unit generator reactance on the transformer base. (b) The load at the transformer terminals is 80MW80 \mathrm{MW} at unity power factor and at 115kV115 \mathrm{kV} . Choosing the transformer high-side voltage as the reference phasor, draw a phasor diagram for this condition. (c) For the condition of part (b), find the transformer low-side voltage and the generator internal voltage behind its reactance. Also compute the generator output power and power factor.

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