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three-phase transformer is rated at 12 kV/135 kV, 100 MVA. It has the following equivalent circuit...

three-phase transformer is rated at 12 kV/135 kV, 100 MVA. It has the following equivalent
circuit parameters (referred to the primary winding where appropriate) :
• primary resistance R1 = 0.03 ohms, secondary resistance R2’ = 0.04 ohms
• primary leakage reactance X1 = 0.1 ohms, secondary leakage reactance X2’ = 0.1 ohms
• magnetising reactance XM = 16 ohms, core-loss resistance RC = 200 ohms.
In your calculations, you should use the simplified equivalent circuit.
i) The transformer is supplying a load of 60 MW and 25 MVAr lagging at the rated output voltage.
Find the secondary phase voltage V2’ and current I2’ phasors referred to the primary. [ 4 marks ]
ii) In another operating condition, the primary voltage is 12.8 kV, the secondary current referred to the primary is 3.2 kA, and the output power is 45 MW. Calculate the total copper and iron losses and hence the transformer efficiency. [ 4 marks ]

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Answer #1

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