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ElectricalPower System
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The magnitude of fault current depends upon

A

Total impedance up to faults

B

Voltage at the fault

C

Load current being supplied before occurrence of fault

D

Both (a) and (b)

Correct Answer

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

Both (a) and (b)

Quick Summary:

The magnitude of a fault current in a power system is determined by the ratio of the pre-fault voltage at the fault point to the total Thevenin impedance of the network up to the point of the fault ┬╖ Ohm's Law for circuits is the fundamental principle applied here, where Ifault=VfZthI_{fault} = \frac{V_{f}}{Z_{th}}IfaultтАЛ=ZthтАЛVfтАЛтАЛ.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The magnitude of a fault current in a power system is determined by the ratio of the pre-fault voltage at the fault point to the total Thevenin impedance of the network up to the point of the fault ┬╖ Ohm's Law for circuits is the fundamental principle applied here, where Ifault=VfZthI_{fault} = \frac{V_{f}}{Z_{th}}IfaultтАЛ=ZthтАЛVfтАЛтАЛ.

ЁЯФв Key Formulas

If=VfZthI_{f} = \frac{V_{f}}{Z_{th}}IfтАЛ=ZthтАЛVfтАЛтАЛ тАФ Fundamental relation for fault current calculation

Zth=Zsource+ZlineZ_{th} = Z_{source} + Z_{line}ZthтАЛ=ZsourceтАЛ+ZlineтАЛ тАФ Total impedance from source to fault

тЪЩя╕П Working Principle

When a short circuit occurs, the impedance of the path drops drastically ┬╖ According to I=VZI = \frac{V}{Z}I=ZVтАЛ, since the system voltage VVV remains relatively constant (governed by the source) and the impedance ZZZ suddenly reduces to the impedance of the transmission lines and transformers up to the fault point, the resulting current spikes to a high value.

ЁЯУМ Key Points
  • тЦ╕

    Fault current is primarily limited by the system impedance.

  • тЦ╕

    The pre-fault load current is generally neglected in fault analysis because it is insignificant compared to the magnitude of the fault current.

  • тЦ╕

    Voltage at the fault point depends on the distance from the source.

тЬЕ Advantages
  • тЦ╕

    Simplified analysis using Thevenin equivalent circuits.

  • тЦ╕

    Provides worst-case scenarios for circuit breaker rating selection.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Assumes steady-state conditions ignoring sub-transient components.

  • тЦ╕

    Does not account for non-linear fault impedance in basic calculations.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Relay coordination studies.

  • тЦ╕

    Selecting rupturing capacity of circuit breakers.

  • тЦ╕

    Power system stability analysis.

ЁЯУД Additional Information
  • тЦ╕

    Option C is incorrect because the load current is typically negligible (often < 5%) compared to the fault current, making it practically irrelevant for fault calculation.

  • тЦ╕

    The magnitude of the fault current determines the mechanical and thermal stress on electrical components during a fault.

ЁЯУК Diagram / Illustration
Fault Current FormulaFault Voltage (Vf)Total Impedance (Zth)If = Vf / Zth
тЬЕ

D is correct тАФ The fault current magnitude is governed by the ratio of the source voltage to the total series impedance at the fault location, making both the voltage and impedance critical factors.

Core Concepts Used
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Thevenin Impedance Short Circuit Analysis Ohm's Law in Power Systems
ЁЯТб EXAM TIP

Always remember that in fault analysis, the pre-fault load current is ignored to simplify calculations, whereas the internal impedance of the system is the dominant limiting factor.

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