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The one-line diagram of a simple power system is shown in Fig. (1). A symmetrical three-phase fault occurs at the motor terminals. Determine the
i. Subtransient fault current.
ii.
Subtransient fault current in the generator and the motor, assume the system to be operating at no-load and at the rated voltage immediately before occurrence of the fault.
Line?
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The one-line diagram of a simple power system is shown in Fig. (1). A ...
Subtransient Fault Current Calculation
To determine the subtransient fault current during a symmetrical three-phase fault at the motor terminals, we need to consider the generator and motor's subtransient reactance values.
i. Subtransient Fault Current
- The subtransient fault current (I_f) can be calculated using the formula:
- I_f = V / (Z_s + Z_m)
Where:
- V = Rated voltage (line-to-line)
- Z_s = Subtransient reactance of the generator
- Z_m = Subtransient reactance of the motor
- Assumptions:
- The system operates at no-load.
- The voltage is at its rated level before the fault.
ii. Subtransient Fault Current in the Generator and the Motor
- To find the individual fault currents in the generator (I_g) and the motor (I_m):
- I_g = V / Z_s
- I_m = V / Z_m
- Key Points:
- Both currents are determined using the subtransient reactance values since they represent the system’s behavior immediately following the fault.
- The fault current through each machine can be significantly higher than the full-load current due to low reactance during the subtransient period.
- Important Considerations:
- Ensure to convert line-to-line voltage to phase voltage if necessary.
- The values of Z_s and Z_m are typically provided in the machine specifications or require calculation based on machine design.
By applying the above principles and calculations, one can effectively determine the subtransient fault current in both the generator and the motor during a symmetrical fault incident.
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The one-line diagram of a simple power system is shown in Fig. (1). A symmetrical three-phase fault occurs at the motor terminals. Determine thei. Subtransient fault current.ii.Subtransient fault current in the generator and the motor, assume the system to be operating at no-load and at the rated voltage immediately before occurrence of the fault.Line?
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The one-line diagram of a simple power system is shown in Fig. (1). A symmetrical three-phase fault occurs at the motor terminals. Determine thei. Subtransient fault current.ii.Subtransient fault current in the generator and the motor, assume the system to be operating at no-load and at the rated voltage immediately before occurrence of the fault.Line? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The one-line diagram of a simple power system is shown in Fig. (1). A symmetrical three-phase fault occurs at the motor terminals. Determine thei. Subtransient fault current.ii.Subtransient fault current in the generator and the motor, assume the system to be operating at no-load and at the rated voltage immediately before occurrence of the fault.Line? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The one-line diagram of a simple power system is shown in Fig. (1). A symmetrical three-phase fault occurs at the motor terminals. Determine thei. Subtransient fault current.ii.Subtransient fault current in the generator and the motor, assume the system to be operating at no-load and at the rated voltage immediately before occurrence of the fault.Line?.
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