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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower System
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A shunt fault is characterized by

A

Increase in current, frequency and power factor

B

Increase in current reduction in frequency and power factor

C

Increase in current and frequency but reduction in power factor

D

None of the above

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalPower System
Option B

Increase in current reduction in frequency and power factor

Quick Summary:

A shunt fault occurs when a low-impedance path is established between a phase and ground or between two phases, causing a significant increase in fault current. This abrupt surge in load current causes the generator speed (and thus system frequency) to drop and the power factor to decrease due to the inductive nature of the fault current.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

A shunt fault occurs when a low-impedance path is established between a phase and ground or between two phases, causing a significant increase in fault current. This abrupt surge in load current causes the generator speed (and thus system frequency) to drop and the power factor to decrease due to the inductive nature of the fault current.

🔢 Key Formulas

If=VthZth+ZfI_f = \frac{V_{th}}{Z_{th} + Z_f}If​=Zth​+Zf​Vth​​ — Fault current magnitude calculation

Pacc=Pm−Pe=2Hωsd2δdt2P_{acc} = P_m - P_e = \frac{2H}{\omega_s} \frac{d^2\delta}{dt^2}Pacc​=Pm​−Pe​=ωs​2H​dt2d2δ​ — Swing equation representing rotor deceleration during fault

⚙️ Working Principle

The sudden connection of a low-impedance path (shunt) leads to a dramatic drop in the local voltage magnitude. According to the power swing equation, the increase in electrical load demand (fault power) without a corresponding change in mechanical input power from the prime mover leads to a deceleration of the rotating mass, reducing system frequency. The fault current is largely reactive, pushing the overall system power factor toward a lagging state.

📌 Key Points
  • ▸

    Shunt faults result in high magnitude fault currents, often exceeding rated values by several multiples.

  • ▸

    System frequency drop is a result of the electromagnetic braking effect caused by the increased electrical load on the generators.

  • ▸

    Low power factor is characteristic of shunt faults because the fault path is predominantly inductive.

  • ▸

    Frequency decay rate depends on the inertia constant (H) of the system generators.

✅ Advantages
  • ▸

    High current makes detection via overcurrent relays efficient

  • ▸

    Predictable fault behavior aids in protection coordination

❌ Disadvantages / Limitations
  • ▸

    Causes severe thermal stress on conductors and equipment

  • ▸

    May lead to voltage collapse if not cleared promptly

🛠️ Applications / Uses
  • ▸

    Setting relay trip thresholds

  • ▸

    Power system stability analysis

📄 Additional Information
  • ▸

    Shunt faults include Single Line-to-Ground (SLG), Line-to-Line (LL), and Double Line-to-Ground (DLG) faults.

  • ▸

    Option A is incorrect because frequency and power factor always decrease under shunt faults, they do not increase.

📊 Diagram / Illustration
Shunt Fault ImpactCurrent (I) : Increases significantlyFrequency (f) : Decreases (Deceleration)Power Factor (cos φ) : Decreases (Lagging)
Pelec>Pmech→dfdt<0P_{elec} > P_{mech} \rightarrow (df / dt) < 0Pelec​>Pmech​→dtdf​<0
✅

B is correct — Shunt faults create an abnormal current surge, causing an inductive load increase that decelerates generators and forces power factor to decline.

Core Concepts Used
Click any tag to open in AI Tutor
Fault Analysis Generator Dynamics Power System Stability
💡 EXAM TIP

Always remember that in power systems, an increase in electrical load demand without a simultaneous increase in mechanical input power leads to frequency reduction.

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