The ratings of a three-phase three-winding transformer are
Primary (1) : Y connected, 66kV, 15MVA
Secondary (2) : Y connected, 13.2kV, 10MVA
Tertiary (3): A connected, 2.3kV, 5MVA
Neglecting winding resistances and exciting current, the per-unit leakage reactances are
X12 = 0.08on a 15MVA, 66kV base
X13 = 0.10on a 10 MVA, 13.2kV base
X23= 0.09on a 5MVA, 2.3kV base
(a) Determine the reactances X1X2X3 of the equivalent circuit on a 15MVA, 66kV base at the primary terminals. (b) Purely resistive loads of 7.5MW at 13.2kV and 5MW at 2.3kV are connected to the secondary and tertiary sides of the transformer, respectively. Draw the per-unit diagram, showing the per-unit impedances on a 15MVA, 66kV base at the primary terminals.