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ElectricalPower System
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When a line to ground fault occurs, the current in a faulted phase is 100 A. The zero sequence current in this case will be

A

Zero

B

33.3 A

C

66.6 A

D

100 A

Correct Answer

⚙️ TE • Technical Symmetrical ComponentsElectricalPower System
Option B

33.3 A

Quick Summary:

Given: Fault current in a faulted phase (IfI_{f}If​) = 100 A for a line-to-ground fault.

📐MAMath SolutionSymmetrical Components
📋 Given

Fault current in a faulted phase (IfI_{f}If​) = 100 A for a line-to-ground fault.

🔢 Formula Used

I0=13(Ia+Ib+Ic)I_0 = \frac{1}{3} (I_a + I_b + I_c)I0​=31​(Ia​+Ib​+Ic​)

🔢 Step-by-Step Solution
1

Identify the Symmetrical Component Relation

For a single line-to-ground (LG) fault, the sequence components are equal in magnitude and phase: I0=I1=I2I_0 = I_1 = I_2I0​=I1​=I2​. The total fault current IfI_fIf​ is equal to the sum of these three components.

If=I0+I1+I2=3I0I_f = I_0 + I_1 + I_2 = 3I_0If​=I0​+I1​+I2​=3I0​

2

Relate Total Fault Current to Zero Sequence Current

Since the sequence currents are equal in a line-to-ground fault, the fault current is three times the zero sequence current.

I0=If3I_0 = \frac{I_f}{3}I0​=3If​​

3

Calculate the Result

Substitute the given fault current of 100 A into the derived formula.

I0=1003=33.33 AI_0 = \frac{100}{3} = 33.33 \text{ A}I0​=3100​=33.33 A

✅

B is correct because in a line-to-ground fault, the zero sequence current is exactly one-third of the total fault current in the faulted phase.

Core Concepts Used
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Symmetrical Components Power System Faults Sequence Networks
💡 EXAM TIP

Remember that for line-to-line faults, the positive and negative sequence currents are equal and opposite, which is a common follow-up question in GATE/ESE exams.

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