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ElectricalPower System
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A power system is subjected to a fault which makes the zero sequence component of current equal to zero. The nature of fault is

A

Double line to ground fault

B

Double line fault

C

Line to ground fault

D

Three-phase to ground fault

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option B

Double line fault

Quick Summary:

In a power system, the zero-sequence component of current (I0I_0I0тАЛ) exists only when there is a path for the current to flow into the ground. A double-line fault (line-to-line fault without ground) does not involve the ground, hence the zero-sequence current is zero.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a power system, the zero-sequence component of current (I0I_0I0тАЛ) exists only when there is a path for the current to flow into the ground. A double-line fault (line-to-line fault without ground) does not involve the ground, hence the zero-sequence current is zero.

ЁЯФв Key Formulas

I0=13(Ia+Ib+Ic)I_0 = \frac{1}{3}(I_a + I_b + I_c)I0тАЛ=31тАЛ(IaтАЛ+IbтАЛ+IcтАЛ) тАФ Definition of zero-sequence current component

Ia+Ib+Ic=0I_a + I_b + I_c = 0IaтАЛ+IbтАЛ+IcтАЛ=0 тАФ Kirchhoff's Current Law for non-grounded faults

тЪЩя╕П Working Principle

In symmetrical component analysis, the zero-sequence current is defined as I0=13(Ia+Ib+Ic)I_0 = \frac{1}{3}(I_a + I_b + I_c)I0тАЛ=31тАЛ(IaтАЛ+IbтАЛ+IcтАЛ). In a balanced system or a line-to-line fault where no current path to the neutral/ground exists, the sum of phase currents is zero, leading to I0=0I_0 = 0I0тАЛ=0. For faults involving the ground (L-G, LL-G, LLL-G), at least one path to ground exists, causing a non-zero I0I_0I0тАЛ.

ЁЯУМ Key Points
  • тЦ╕

    Zero-sequence current is an indicator of the presence of a ground return path.

  • тЦ╕

    Double line (LL) faults are balanced in terms of ground involvement (none).

  • тЦ╕

    Positive and negative sequence networks are connected in parallel for an LL fault.

  • тЦ╕

    Zero sequence network is open-circuited for faults without ground connection.

тЬЕ Advantages
  • тЦ╕

    Simplifies analysis of unsymmetrical faults using sequence networks.

  • тЦ╕

    Helps in relay coordination by identifying fault types.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Does not provide information about the exact location of the fault.

  • тЦ╕

    Assumes linear system behavior which may not hold during heavy saturation.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Protective relay setting calculation.

  • тЦ╕

    Power system stability analysis.

  • тЦ╕

    Fault current level determination.

ЁЯФД Comparison Table
FeatureL-G or LL-G FaultDouble Line (LL) Fault

Zero Sequence Current (I0I_0I0тАЛ)

Non-Zero

Zero

ЁЯУД Additional Information
  • тЦ╕

    The zero-sequence network is essentially the path for current flowing through the neutral and ground.

  • тЦ╕

    Option C (Line to ground fault) involves a ground return path, so I0тЙа0I_0 \neq 0I0тАЛюАа=0.

  • тЦ╕

    Option D (Three-phase fault) is a balanced fault where I0=0I_0 = 0I0тАЛ=0, but it is not an unsymmetrical fault.

ЁЯУК Diagram / Illustration
Sequence Currents in LL FaultIтВА = (IтВР + I_b + I_c) / 3For LL Fault: IтВР + I_b + I_c = 0Therefore: IтВА = 0
тЬЕ

B is correct тАФ In a double line fault, there is no path to the ground, resulting in the sum of phase currents being zero and thus the zero-sequence current component is zero.

Core Concepts Used
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Symmetrical Components Zero-Sequence Impedance Unsymmetrical Fault Analysis
ЁЯТб EXAM TIP

Always remember: If the fault does not involve the earth (ground), the sum of the phase currents Ia+Ib+IcI_a + I_b + I_cIaтАЛ+IbтАЛ+IcтАЛ is always zero, rendering the zero-sequence component I0I_0I0тАЛ zero.

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