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ElectricalPower System
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What is phase difference during symmetrical fault?

A

90┬░90┬░90┬░

B

120┬░120┬░120┬░

C

150┬░150┬░150┬░

D

180┬░180┬░180┬░

Correct Answer

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

120┬░120┬░120┬░

Quick Summary:

A symmetrical fault, also known as a balanced three-phase fault, is a fault in which all three phases are short-circuited to each other and/or to ground. Because the system remains balanced during the fault, the phase relationship of 120┬░120┬░120┬░ between the three phases of the supply voltage is maintained.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

A symmetrical fault, also known as a balanced three-phase fault, is a fault in which all three phases are short-circuited to each other and/or to ground. Because the system remains balanced during the fault, the phase relationship of 120┬░120┬░120┬░ between the three phases of the supply voltage is maintained.

ЁЯФв Key Formulas

Ia+Ib+Ic=0I_{a} + I_{b} + I_{c} = 0IaтАЛ+IbтАЛ+IcтАЛ=0 тАФ Sum of phase currents in a symmetrical fault

Va=VтИа0┬░,Vb=VтИатИТ120┬░,Vc=VтИатИТ240┬░V_{a} = V\angle 0┬░, V_{b} = V\angle -120┬░, V_{c} = V\angle -240┬░VaтАЛ=VтИа0┬░,VbтАЛ=VтИатИТ120┬░,VcтАЛ=VтИатИТ240┬░ тАФ Balanced phase voltages

тЪЩя╕П Working Principle

In a balanced three-phase system, the generators and power sources are designed to produce voltages separated by an electrical angle of 120┬░120┬░120┬░. During a symmetrical fault, the impedance paths across all three phases are identical. Since the source voltages remain balanced and the fault impedance is equal for each phase, the currents in the three phases maintain their relative 120┬░120┬░120┬░ phase displacement, even though the magnitude of the fault current increases significantly.

ЁЯУМ Key Points
  • тЦ╕

    Symmetrical faults involve all three phases equally.

  • тЦ╕

    Only positive sequence components exist during a symmetrical fault; negative and zero sequence components are zero.

  • тЦ╕

    The fault current is limited primarily by the system impedance (reactance) up to the point of the fault.

  • тЦ╕

    The phase difference remains 120┬░120┬░120┬░ because the system is balanced, unlike unsymmetrical faults where phase balance is disturbed.

тЬЕ Advantages
  • тЦ╕

    Simpler calculations using per-phase equivalent circuits.

  • тЦ╕

    Does not require sequence network analysis (as only positive sequence exists).

тЭМ Disadvantages / Limitations
  • тЦ╕

    Results in the highest magnitude of fault current compared to unsymmetrical faults.

  • тЦ╕

    Causes severe stress on the electrical apparatus due to high mechanical and thermal forces.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Used for selecting the rupturing capacity of circuit breakers.

  • тЦ╕

    Basic study for setting protection relays.

ЁЯУД Additional Information
  • тЦ╕

    A symmetrical fault is the most severe type of fault in terms of magnitude.

  • тЦ╕

    Option D (180) is incorrect as it would imply a single-phase system or a total phase reversal not typical in three-phase faults.

ЁЯУК Diagram / Illustration
Phase Relationship (Balanced)Phase R (0┬░)Phase Y (120┬░)Phase B (240┬░)
тЬЕ

B is correct тАФ In a symmetrical fault, the power system remains balanced; therefore, the 120┬░120┬░120┬░ displacement between the phases of a three-phase system is preserved.

Core Concepts Used
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Symmetrical Faults Balanced Three-Phase System Phase Displacement
ЁЯТб EXAM TIP

Always remember that in symmetrical faults, negative and zero sequence impedances are irrelevant because only positive sequence currents flow.

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