Compute the efficiency of the autotransformer, Electrical Engineering

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The single-phase, 50-kVA, 2400:240-V, 60-Hz, two-winding distribution transformer is connected as a step-up autotransformer, as shown in Figure. Assume that the 240-V winding is provided with sufficient insulation to withstand a voltage of 2640 V to ground.

(a) Find VH , VX, IH , IC, and IX corresponding to rated (full-load) conditions.

(b) Determine the kVA rating as an autotransformer, and find how much of that is the conducted kVA.

(c) Based on the data given for the two-winding transformer, compute the efficiency of the autotransformer corresponding to full load, 0.8 power factor lagging, and compare it with the efficiency calculated for the two-winding transforme.

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