Find the equivalent circuit for this transformer referred

Question

Assignemnt

A 15-kVA, 2300/230-V transformer is to be tested (short circuit & open circuit tests as shown below) to determine its excitation branch components, its series impedances, and its voltage regulation (See figures below):

The following test data have been taken from the transformer:

      Open-circuit test                            Short-circuit test
(High voltage side open)                 (Low voltage side shorted)
V_OC = 230 V                                       V_SC = 47 V
I_OC = 2.1 A                                         I_SC = 6.0 A
P_OC = 50 W                                        P_SC = 160 W

(a) Find the equivalent circuit for this transformer referred to the high-voltage side.

(b) Find the equivalent circuit for this transformer referred to the low-voltage side.

(c) Calculate the full-load voltage regulation at 0.8 lagging power factor, unity power factor & at 0.8 leading power factor using the exact equation for V_P --- Do a phasor diagram for each case.

(d) Plot the voltage regulation as load is increased from no-load to-full load at power factors of 0.8 lagging, unity, and 0.8 leading.

(e) Find the efficiency of the transformer at full load with a power factor of 0.8 lagging.