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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.?
Question Description
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.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.?.
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.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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