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A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.?
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A generating station consisting of two generators, one of 20 MVA, 11 k...
Overview of the System
The generating station comprises two generators, each with associated transformers, and transmits power through a double circuit 132-kV transmission line. The generators are specified as follows:
- Generator 1: 20 MVA, 11 kV, 0.18 pu reactance
- Transformer 1: 20 MVA, 11/132 kV, 0.08 pu reactance
- Generator 2: 30 MVA, 11 kV, 0.18 pu reactance
- Transformer 2: 30 MVA, 11/132 kV, 0.12 pu reactance
System Reactance Calculation
- Generator 1 Total Reactance:
- Generator + Transformer = 0.18 + 0.08 = 0.26 pu
- Generator 2 Total Reactance:
- Generator + Transformer = 0.18 + 0.12 = 0.30 pu
Equivalent Reactance at the 132 kV Bus
- Total Reactance of the Generators:
- Use the formula for parallel reactance:
- 1/X_total = 1/X1 + 1/X2
- X_total = (0.26 * 0.30) / (0.26 + 0.30) = 0.156 pu
- Transmission Line Reactance:
- For two circuits: 2 * 120 ohms = 240 ohms
- Convert to per unit based on 132 kV and system base MVA (assuming base MVA = 30 MVA for calculation):
- X_line = 240 / (132^2 / 30) = 0.054 pu
Overall Reactance at the Bus
- Total System Reactance:
- X_total_system = 0.156 + 0.054 = 0.21 pu
Fault Current Calculation
- Fault Current (I_f):
- I_f = V_base / X_total_system
- V_base = 1.0 pu (rated voltage)
- I_f = 1.0 / 0.21 = 4.76 pu
Conclusion
The fault current supplied by the generators to a three-phase solid fault at the 132 kV bus is approximately 4.76 pu. This indicates the maximum current that the system can supply under fault conditions, which is crucial for designing protection systems.
The generating station comprises two generators, each with associated transformers, and transmits power through a double circuit 132-kV transmission line. The generators are specified as follows:
- Generator 1: 20 MVA, 11 kV, 0.18 pu reactance
- Transformer 1: 20 MVA, 11/132 kV, 0.08 pu reactance
- Generator 2: 30 MVA, 11 kV, 0.18 pu reactance
- Transformer 2: 30 MVA, 11/132 kV, 0.12 pu reactance
System Reactance Calculation
- Generator 1 Total Reactance:
- Generator + Transformer = 0.18 + 0.08 = 0.26 pu
- Generator 2 Total Reactance:
- Generator + Transformer = 0.18 + 0.12 = 0.30 pu
Equivalent Reactance at the 132 kV Bus
- Total Reactance of the Generators:
- Use the formula for parallel reactance:
- 1/X_total = 1/X1 + 1/X2
- X_total = (0.26 * 0.30) / (0.26 + 0.30) = 0.156 pu
- Transmission Line Reactance:
- For two circuits: 2 * 120 ohms = 240 ohms
- Convert to per unit based on 132 kV and system base MVA (assuming base MVA = 30 MVA for calculation):
- X_line = 240 / (132^2 / 30) = 0.054 pu
Overall Reactance at the Bus
- Total System Reactance:
- X_total_system = 0.156 + 0.054 = 0.21 pu
Fault Current Calculation
- Fault Current (I_f):
- I_f = V_base / X_total_system
- V_base = 1.0 pu (rated voltage)
- I_f = 1.0 / 0.21 = 4.76 pu
Conclusion
The fault current supplied by the generators to a three-phase solid fault at the 132 kV bus is approximately 4.76 pu. This indicates the maximum current that the system can supply under fault conditions, which is crucial for designing protection systems.
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A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.?
Question Description
A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.?.
A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.?.
Solutions for A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? in English & in Hindi are available as part of our courses for UPSC.
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A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.?, a detailed solution for A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? has been provided alongside types of A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? theory, EduRev gives you an
ample number of questions to practice A generating station consisting of two generators, one of 20 MVA, 11 kV, 0.18 pu reactance with the unit transformer of 20 MVA, 11/132 kV, 0.08 pu reactance, another of 30 MVA, 11 kV, 0.18 pu reactance with the transformer of 30 MVA, 11/132 kV, 0.12 pu reactance, transmits power over double circuit 132-kV transmission line as shown in figure (2). Each line is having reactance of 120 ohms per phase. Determine the fault current supplied by the generators to a three-phase solid fault on the 132-kV bus- bar at the receiving end. Neglect pre-fault current and losses. Assume pre- fault generated voltages at rated value.? tests, examples and also practice UPSC tests.
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