Consider the one-line diagram shown in Figure 3.40. The

Chapter , Problem 3.47

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Consider the one-line diagram shown in Figure 3.40. The three-phase transformer bank is made up of three identical single-phase transformers, each specified by Xl = 0:24 W (on the low-voltage side), negligible resistance and magnetizing current, and turns ratio h = N2=N1 = 10. The transformer bank is delivering 100 MW at 0.8 PF lagging to a substation bus whose voltage is 230 kV. (a) Determine the primary current magnitude, primary voltage (line-to-line) magnitude, and the three- phase complex power supplied by the generator. Choose the lineto- neutral voltage at the bus, Va'n1', as the reference. Account for the phase shift, and assume positive-sequence operation. (b) Find the phase shift between the primary and secondary voltages.