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ElectricalPower System
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The transfer of reactive power over a line mainly depends upon

A

VrV_rVrтАЛ

B

VsV_sVsтАЛ

C

VsтИТVrV_s - V_rVsтАЛтИТVrтАЛ

D

Power angle

Correct Answer

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

VsтИТVrV_s - V_rVsтАЛтИТVrтАЛ

Quick Summary:

Reactive power transfer (QQQ) over a transmission line is primarily driven by the difference in voltage magnitudes between the sending end (VsV_sVsтАЛ) and the receiving end (VrV_rVrтАЛ). In a short line model, the flow of reactive power is approximately proportional to the voltage drop across the line reactance.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Reactive power transfer (QQQ) over a transmission line is primarily driven by the difference in voltage magnitudes between the sending end (VsV_sVsтАЛ) and the receiving end (VrV_rVrтАЛ). In a short line model, the flow of reactive power is approximately proportional to the voltage drop across the line reactance.

ЁЯФв Key Formulas

QтЙИVr(VsтИТVr)XQ \approx \frac{V_r(V_s - V_r)}{X}QтЙИXVrтАЛ(VsтАЛтИТVrтАЛ)тАЛ тАФ Reactive power flow in terms of voltage magnitude difference

PтЙИVsVrXsinтБб╬┤P \approx \frac{V_s V_r}{X} \sin\deltaPтЙИXVsтАЛVrтАЛтАЛsin╬┤ тАФ Real power flow in terms of power angle ╬┤\delta╬┤

тЪЩя╕П Working Principle

The reactive power flow (QQQ) is governed by the reactive power-voltage relationship QтЙИVrX(VsтИТVr)Q \approx \frac{V_r}{X} (V_s - V_r)QтЙИXVrтАЛтАЛ(VsтАЛтИТVrтАЛ). Since the transmission line possesses inductive reactance (XXX), a potential difference (VsтИТVrV_s - V_rVsтАЛтИТVrтАЛ) acts as the driving force for reactive power migration to support voltage regulation.

ЁЯУМ Key Points
  • тЦ╕

    Reactive power is voltage-dependent, while real power is primarily angle-dependent.

  • тЦ╕

    A higher VsV_sVsтАЛ relative to VrV_rVrтАЛ forces reactive power from the source toward the load.

  • тЦ╕

    If Vr>VsV_r > V_sVrтАЛ>VsтАЛ, reactive power flows from the receiving end back to the source.

  • тЦ╕

    This principle is the basis for voltage control using shunt compensation.

тЬЕ Advantages
  • тЦ╕

    Provides a simple mechanism to control local bus voltage.

  • тЦ╕

    Allows reactive support through SVCs (Static Var Compensators).

тЭМ Disadvantages / Limitations
  • тЦ╕

    High reactive power flow increases I2RI^2RI2R and I2XI^2XI2X losses.

  • тЦ╕

    Excessive voltage difference can lead to stability issues.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Voltage profile management in power grids.

  • тЦ╕

    Coordination of shunt capacitors and reactors.

ЁЯУД Additional Information
  • тЦ╕

    Option D (Power angle) is the primary factor for active power (PPP) transfer.

  • тЦ╕

    Voltage stability is directly tied to the ability to supply sufficient reactive power to maintain the VsтИТVrV_s - V_rVsтАЛтИТVrтАЛ balance.

ЁЯУК Diagram / Illustration
Reactive Power Flow Formula
QтЙИVr(VsтИТVr)XQ \approx (V_r(V_s - V_r) / X)QтЙИXVrтАЛ(VsтАЛтИТVrтАЛ)тАЛ
Where VтВЫ - Vс╡г is the Driving Potential
тЬЕ

C is correct тАФ The transfer of reactive power in transmission lines is primarily driven by the magnitude difference between sending and receiving end voltages (VsтИТVrV_s - V_rVsтАЛтИТVrтАЛ).

Core Concepts Used
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Reactive Power Flow Voltage Regulation Power System Stability
ЁЯТб EXAM TIP

Remember: P (Active Power) depends on sinтБб╬┤\sin\deltasin╬┤ (the power angle), whereas Q (Reactive Power) depends on ╬ФV\Delta V╬ФV (the voltage magnitude difference).

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