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Three single-phase 50kVA, 2300/230V, 50Hz transformers are connected to form a three- phase star-delta transformer. The equivalent impedance of each transformer referred to HV side is (1.2 j1.6). The three-phase transformer thus formed supplies a three-phase load of 120kVA at 230V with 0.85 power factor (lag). Determine the voltage regulation of the transformer.?
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Three single-phase 50kVA, 2300/230V, 50Hz transformers are connected t...
Problem Statement

Three single-phase 50kVA, 2300/230V, 50Hz transformers are connected to form a three-phase star-delta transformer. The equivalent impedance of each transformer referred to HV side is (1.2 j1.6)Ω. The three-phase transformer thus formed supplies a three-phase load of 120kVA at 230V with 0.85 power factor (lag). Determine the voltage regulation of the transformer.


Solution

Given:


  • Three single-phase transformers of rating 50kVA, 2300/230V, 50Hz

  • Transformers are connected to form a three-phase star-delta transformer

  • Equivalent impedance of each transformer referred to HV side is (1.2 j1.6)Ω

  • Three-phase transformer supplies a load of 120kVA at 230V with 0.85 power factor (lag)



Step 1: Calculate the line current

Line current = 120kVA / (√3 * 230V * 0.85) = 345.59A


Step 2: Calculate the HV current

HV current = Line current / √3 = 200A


Step 3: Calculate the equivalent impedance referred to LV side

Equivalent impedance referred to LV side = (1/3) * (1.2 + j1.6)Ω = 0.4 + j0.533Ω


Step 4: Calculate the voltage drop in the transformer

Voltage drop in the transformer = HV current * equivalent impedance referred to LV side

Voltage drop in the transformer = 200A * (0.4 + j0.533)Ω = 80 + j106.6V


Step 5: Calculate the secondary voltage

Secondary voltage = 230V - voltage drop in the transformer = 230V - (80 + j106.6)V = 149.2 - j106.6V


Step 6: Calculate the voltage regulation

Voltage regulation = ((230V - secondary voltage) / secondary voltage) * 100%

Voltage regulation = ((230V - 149.2V) / 149.2V) * 100% = 54.04%


Conclusion

The voltage regulation of the transformer is 54.04%.
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Three single-phase 50kVA, 2300/230V, 50Hz transformers are connected to form a three- phase star-delta transformer. The equivalent impedance of each transformer referred to HV side is (1.2 j1.6). The three-phase transformer thus formed supplies a three-phase load of 120kVA at 230V with 0.85 power factor (lag). Determine the voltage regulation of the transformer.?
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