Concept:
A short circuit fault causes extremely large current flow in a power system.
Different faults produce different magnitudes of fault current.
Common faults are:
• Three-phase fault
• Line-to-line fault
• Double-line-to-ground fault
• Single-line-to-ground fault
Among all these:
\[
\text{Three-phase bolted fault produces maximum current}
\]
Step 1: Understanding a bolted fault.
A bolted fault means:
• zero fault impedance,
• direct metallic short circuit,
• maximum current path.
Therefore current becomes extremely large.
Step 2: Understanding three-phase fault.
A balanced three-phase fault involves:
• all three phases simultaneously,
• symmetrical current flow,
• minimum effective impedance.
Fault current is:
\[
I_f = \frac{V}{Z}
\]
Since fault impedance is minimum:
\[
I_f \text{ becomes maximum}
\]
Step 3: Comparing with unsymmetrical faults.
Unsymmetrical faults such as:
• single line-to-ground,
• line-to-line,
• double line-to-ground
involve sequence network combinations that increase effective impedance.
Hence their fault currents are lower.
Step 4: Selecting the correct option.
Thus maximum short-circuit current occurs for:
\[
\text{Three phase bolted fault}
\]
Hence correct answer is:
\[
\boxed{(1)}
\]