Primary Phase

A 3.3 kV, 50 Hz system supplies three 415V, 50 Hz balanced loads via an ideal Yy0 three phase transformer as shown as a single line diagram in Figure 1 below.

Screenshot from 2018-09-27 15-12-09

The three loads are as follows:
LOAD 1 (STAR): 35 kW at a power factor of 0.6 lagging;
LOAD 2 (DELTA): R = 22 Ω in series with C = 270 μF;
LOAD 3 (DELTA): 22 kVA at a power factor of 0.75 lagging
(i) the Power (kW), Reactive Power (kVAr) and Apparent Power (kVA) of the Delta connected Load 2;   [ 14 Marks]
(ii) the Total Power and Power Factor supplied from the 3.3kV system before Power Factor correction;   [ 14 Marks]
(iii) the Capacitance Reactive Power (kVAr) per phase required to correct the overall system power Factor to 0.87 lagging;   [ 12 Marks]
(iv) the three phase transformer primary phase current before and after Power Factor Correction.   [ 10 Marks]

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