Transformer of distribution:

Let be the transformer of distribution of the Face(Figure) 3 connected to the primary between phase a and c of a three-phase network of 23 kV. Both rolling-ups of low voltage are 120 V with the indicated polarities.

Loadsconnected to the secondary are:

L1: Heating, 1.5 kW with a power factor of 1

L2:Drill, 0.5 kW with a power factor of 0.81 lagging.

L3:Pump, 2.53 kW with a power factor of 0.92 lagging

The model of the transformer is of ideal type.

1-Calculate the current phasor of the loadL1.

2-Calculate the current phasor of the loadL2.

3-Calculate the current phasor of the loadL3.

4-Calculate the currentphasor in the primaryof the transformer (entering the positive polarity).

5-Calculate the total apparent power seen in the primary of the transformer.

Figure: The transformer of distribution