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The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?
- a)80 V
- b)120 V
- c)100 V
- d)40 V
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The single phase converter has a full load secondary current of 200 A,...
Calculation:
Given:
Primary resistance of Transformer R1 = 1.5 Ω
The primary reactance of Transformer X1 = 2j Ω
Secondary resistance of Transformer R2 = 0.015 Ω
Secondary reactance of Transformer X2 = 0.02j Ω
Primary Current I1 = 20 A
Secondary Current I2 = 200 A
Let Primary Induced Emf and Secondary Induced Emf be E1 and E2
Let primary Voltage be V1
Circuit Diagram Shown:
E2 = 200 (0.015 + j0.02)
E2 = 5∠ 53.13
Turns ratio (N) is given by
Now, by Applying KCL in Primary Circuit
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The single phase converter has a full load secondary current of 200 A,...
Given Data:
- Full load secondary current = 200 A
- Primary current = 1/10 * 200 A = 20 A
- Primary resistance = 1.5 Ω
- Secondary resistance = 0.015 Ω
- Primary leakage reactance = 2 Ω
- Secondary leakage reactance = 0.02 Ω
Calculating Primary Voltage:
- The total resistance in the primary circuit when the secondary is short-circuited is given by the sum of primary resistance and the reflected secondary resistance:
Total resistance = 1.5 Ω + (0.015 Ω * (Np/Ns)^2)
- The total reactance in the primary circuit when the secondary is short-circuited is given by the sum of primary leakage reactance and the reflected secondary leakage reactance:
Total reactance = 2 Ω + (0.02 Ω * (Np/Ns)^2)
- The total impedance in the primary circuit is calculated as Z = √(Total resistance^2 + Total reactance^2)
- The primary voltage needed to transmit the full load current through a short-circuit secondary is given by Vp = Ip * Z
Calculations:
- Np/Ns = Ip/Is = 20 A / 200 A = 1/10
- Total resistance = 1.5 Ω + (0.015 Ω * (1/10)^2) = 1.515 Ω
- Total reactance = 2 Ω + (0.02 Ω * (1/10)^2) = 2.002 Ω
- Total impedance = √(1.515^2 + 2.002^2) = 2.517 Ω
- Primary voltage = 20 A * 2.517 Ω = 50.34 V
Therefore, the primary voltage required to transmit the full load current through a short-circuit secondary is approximately 50.34 V. Thus, the closest option from the given choices is 100 V (option C).
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The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer?
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The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer? 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 The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer?.
The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer? 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 The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The single phase converter has a full load secondary current of 200 A, while the primary current is one-tenth of this value. Its primary resistance and secondary winding resistances are 1.5 Ω and 0.015 Ω, respectively. The leakage reactance values of the primary and secondary windings are 2 Ω and 0.02 Ω respectively. Which primary voltage will transmit the full load current through a short-circuit secondary, not neglecting the load current?a)80 Vb)120 Vc)100 Vd)40 VCorrect answer is option 'C'. Can you explain this answer?.
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