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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower Generation
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Steady-state stability of a power system is improved by

A

Reducing fault clearing time

B

Using double circuit line instead of single circuit line

C

Single pole switching

D

Decreasing generator inertia

Correct Answer

Concept & PrincipleElectricalPower Generation
Option B

Using double circuit line instead of single circuit line

Quick Summary: Steady-state stability of a power system is defined by its ability to maintain synchronism under small disturbances. It is directly proportional to the synchronizing power coefficient, which increases when the total reactance of the transmission system is reduced.

💡 Explanation

Steady-state stability of a power system is defined by its ability to maintain synchronism under small disturbances. It is directly proportional to the synchronizing power coefficient, which increases when the total reactance of the transmission system is reduced.

🔢 Key Formulas

P=VsVrXsin⁡(δ)P = \frac{V_s V_r}{X} \sin(\delta)P=XVs​Vr​​sin(δ) — Power transfer equation

Xeq=XlinenX_{eq} = \frac{X_{line}}{n}Xeq​=nXline​​ — Equivalent reactance for nnn parallel circuits

⚙️ Working Principle

The maximum power transfer in a transmission line is given by Pmax=VsVrXP_{max} = \frac{V_s V_r}{X}Pmax​=XVs​Vr​​. By using a double circuit line instead of a single circuit line, the equivalent reactance XXX of the path between the sending and receiving ends is halved (assuming parallel lines of identical parameters). This reduction in total reactance significantly increases the maximum power transfer capability and the steady-state stability limit.

📌 Key Points
  • ▸

    Steady-state stability depends on maintaining small angular displacement δ\deltaδ.

  • ▸

    Reducing line reactance is the most effective passive method to improve stability.

  • ▸

    Double circuit lines reduce the net impedance seen by the generator.

✅ Advantages
  • ▸

    Increases the maximum power transfer limit

  • ▸

    Reduces transmission line voltage drop

  • ▸

    Improves system reliability during single line outages

❌ Disadvantages / Limitations
  • ▸

    Higher initial capital expenditure

  • ▸

    Increased right-of-way requirements

🛠️ Applications / Uses
  • ▸

    Long-distance power transmission lines

  • ▸

    Interconnected grid networks

📄 Additional Information
  • ▸

    Fault clearing time (Option A) relates to transient stability, not steady-state.

  • ▸

    Increasing generator inertia (the opposite of Option D) helps improve stability.

  • ▸

    Single pole switching (Option C) is a transient stability improvement measure.

📊 Diagram / Illustration
Power Transfer FormulaP = (Vs × Vr)Xₑq
✅

B is correct — Using double circuit lines decreases the total transmission line reactance, thereby increasing the maximum synchronizing power limit.

Core Concepts Used
Click any tag to open in AI Tutor
Steady-state stability Power-angle characteristics Transmission line reactance
💡 EXAM TIP

Always differentiate between steady-state stability (improving reactance/voltage profile) and transient stability (faster fault clearing/quick excitation systems).

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