q a 100-kva 2300230-v 60-hz single-phase

Question

Q. A 100-kVA, 2300:230-V, 60-Hz, single-phase transformer has the following parameters: R₁ = 0.30 , R₂ = 0.003 , RC₁ = 4.5k, X₁ = 0.65 , X₂ = 0.0065 , and Xm₁ = 1.0k, where subscripts 1 and 2 refer to high-voltage and low-voltage sides, respectively. Set up the equivalent T-circuit of the transformer and determine the input current, input voltage, input power, and power factor when the transformer is delivering 75 kW at 230 V and 0.85 lagging power factor.