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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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Line compensation improve power system operation by

A

Keeping voltage closer to nominal value

B

Reduces line current and losses

C

Enhance stability

D

All of above

Correct Answer

Concept & PrincipleElectricalPower Generation
Option D

All of above

Quick Summary: Line compensation refers to the use of reactive power compensators (like Shunt Capacitors, Reactors, or SVCs) to control the voltage profile along a transmission line. By managing reactive power flow, it ensures the bus voltage remains within regulatory limits, minimizes transmission losses, and prevents instability during heavy loads.

💡 Explanation

Line compensation refers to the use of reactive power compensators (like Shunt Capacitors, Reactors, or SVCs) to control the voltage profile along a transmission line. By managing reactive power flow, it ensures the bus voltage remains within regulatory limits, minimizes transmission losses, and prevents instability during heavy loads.

🔢 Key Formulas

Vdrop≈I(Rcos⁡ϕ+Xsin⁡ϕ)V_{drop} \approx I(R\cos\phi + X\sin\phi)Vdrop​≈I(Rcosϕ+Xsinϕ) — Voltage drop across the line

Pmax=VSVRXsin⁡δP_{max} = \frac{V_S V_R}{X} \sin\deltaPmax​=XVS​VR​​sinδ — Power transfer capability limit

⚙️ Working Principle

The principle relies on managing the reactive power balance, QQQ, in the line. By injecting reactive power (Qin>0Q_{in} > 0Qin​>0 via capacitors) or absorbing it (Qin<0Q_{in} < 0Qin​<0 via inductors), the voltage drop formula ΔV≈RP+XQV\Delta V \approx \frac{RP + XQ}{V}ΔV≈VRP+XQ​ is modified. This control maintains the receiving end voltage (VRV_RVR​) close to the sending end voltage (VSV_SVS​), thereby minimizing the current required for a given power delivery, which directly reduces I2RI^2RI2R losses and prevents voltage collapse.

📌 Key Points
  • ▸

    Shunt compensation is primarily used for voltage regulation.

  • ▸

    Series compensation is used to decrease the line impedance (XXX) to increase power transfer limits.

  • ▸

    Excessive reactive power flow increases copper losses in transmission lines.

  • ▸

    Compensation stabilizes the system against voltage instability and collapse.

✅ Advantages
  • ▸

    Improved voltage profile throughout the transmission line

  • ▸

    Reduction in I2RI^2RI2R power transmission losses

  • ▸

    Increased transient and steady-state stability

  • ▸

    Improved power factor of the system

❌ Disadvantages / Limitations
  • ▸

    High capital cost of installing FACTS devices or compensators

  • ▸

    Potential for harmonic distortion if not filtered correctly

  • ▸

    Complexity in control and protection schemes

🛠️ Applications / Uses
  • ▸

    Long-distance EHV and UHV transmission lines

  • ▸

    Industrial feeders with heavy inductive loads

  • ▸

    Grid stabilization in renewable energy integration

📄 Additional Information
  • ▸

    Voltage regulation is maintained by adjusting the shunt susceptance or series reactance.

  • ▸

    Option A is correct but incomplete as compensation also impacts stability and losses.

  • ▸

    Option B relates to the reduction of I2RI^2RI2R losses, which is a outcome of better voltage and current profile management.

  • ▸

    Option C refers to the Power-Angle curve where reducing effective XXX increases the stability limit (PmaxP_{max}Pmax​).

📊 Diagram / Illustration
Voltage Drop FormulaΔ V ≈ RP + XQVP: Active PowerQ: Reactive PowerR: ResistanceX: Reactance
✅

D is correct — Line compensation maintains voltage stability, reduces transmission losses, and enhances the overall stability margin by managing reactive power flow.

Core Concepts Used
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Reactive Power Control Voltage Regulation Power System Stability
💡 EXAM TIP

Always remember that while shunt compensation primarily improves voltage, series compensation (like series capacitors) is specifically used to increase the power transfer capability (PmaxP_{max}Pmax​) by reducing the effective line reactance.

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