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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

Over voltage on line due to charged cloud

B

Line to line fault

C

phase fault

D

Double line to ground fault

Correct Answer

⚙️ TE • Technical Sequence Component AnalysisElectricalPower System
Option D

Double line to ground fault

Quick Summary:

Given: Fault current in a faulted phase IfI_{f}If​ = 100 A. The question asks for the zero sequence current in a scenario where the relationship between sequence components defines the fault type.

📐MAMath SolutionSequence Component Analysis
📋 Given

Fault current in a faulted phase IfI_{f}If​ = 100 A. The question asks for the zero sequence current in a scenario where the relationship between sequence components defines the fault type.

🔢 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

Analyze Sequence Currents

In an unsymmetrical fault, the fault current can be resolved into positive, negative, and zero sequence components. The zero sequence current I0I_0I0​ is defined as the average of the phase currents: I0=13(Ia+Ib+Ic)I_0 = \frac{1}{3}(I_a + I_b + I_c)I0​=31​(Ia​+Ib​+Ic​).

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

2

Evaluate Fault Conditions

For a Line-to-Ground (L-G) fault, Ib=Ic=0I_b = I_c = 0Ib​=Ic​=0, so I0=If/3I_0 = I_f / 3I0​=If​/3. For a Double Line-to-Ground (D-L-G) fault, the presence of two faulted phases leads to a non-zero sum of phase currents, typically resulting in a specific relationship between I0I_0I0​ and the sequence networks.

I0=13IfI_0 = \frac{1}{3} I_fI0​=31​If​

3

Conclusion

Given the options provided and the context of the question regarding zero sequence current behavior during ground faults, the condition described corresponds to a double line-to-ground fault.

Izero sequence≠0I_{zero\,sequence} \neq 0Izerosequence​=0

✅

D is correct because the zero sequence current is present and calculated in the context of sequence networks during a double line-to-ground fault.

Core Concepts Used
Click any tag to open in AI Tutor
Symmetrical Components Zero Sequence Current Unsymmetrical Fault Analysis
💡 EXAM TIP

Understanding symmetrical components is crucial for relay coordination and setting ground fault protection in power system design.

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