For a fault at terminals of the synchronous generator fault current to...
For a line to ground fault,
The fault current is three times the line current.
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Explanation:
When a fault occurs at the terminals of the synchronous generator, the fault current is influenced by the type of fault that has occurred. The different types of faults that can occur are:
1. Three-phase fault: This type of fault occurs when all three phases of the generator are short-circuited together. The fault current in this case is equal to the synchronous reactance of the generator.
2. Double line to ground fault: This type of fault occurs when two phases of the generator are short-circuited to ground. The fault current in this case is equal to twice the synchronous reactance of the generator.
3. Line to line fault: This type of fault occurs when two phases of the generator are short-circuited together. The fault current in this case is equal to the synchronous reactance of the generator.
4. Line to ground fault: This type of fault occurs when one phase of the generator is short-circuited to ground. The fault current in this case is maximum and is equal to the subtransient reactance of the generator.
Therefore, the correct answer is option D, i.e., line to ground fault.