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ElectricalPower System
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Normally, the reactive power has _____________ average value

A

High

B

Low

C

zero

D

negative

Correct Answer

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

zero

Quick Summary:

Reactive power represents the power that oscillates between the source and the load but does not perform useful work. Over a complete cycle, the energy stored in the magnetic or electric fields of inductors and capacitors is returned to the circuit, resulting in a net average value of zero.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Reactive power represents the power that oscillates between the source and the load but does not perform useful work. Over a complete cycle, the energy stored in the magnetic or electric fields of inductors and capacitors is returned to the circuit, resulting in a net average value of zero.

ЁЯФв Key Formulas

Q=VIsinтБб(╧Х)Q = V I \sin(\phi)Q=VIsin(╧Х) тАФ Instantaneous reactive power

Qavg=1TтИл0TQ(t)dt=0Q_{avg} = \frac{1}{T} \int_{0}^{T} Q(t) dt = 0QavgтАЛ=T1тАЛтИл0TтАЛQ(t)dt=0 тАФ Average value definition

тЪЩя╕П Working Principle

In an AC circuit, reactive power QQQ is defined as the product of VrmsV_{rms}VrmsтАЛ, IrmsI_{rms}IrmsтАЛ, and sinтБб(╧Х)\sin(\phi)sin(╧Х), where ╧Х\phi╧Х is the phase angle. Because the instantaneous power p(t)=v(t)i(t)p(t) = v(t)i(t)p(t)=v(t)i(t) contains a term proportional to sinтБб(2╧Йt)\sin(2\omega t)sin(2╧Йt), the integral over one full period T=1fT = \frac{1}{f}T=f1тАЛ is zero. Thus, inductors and capacitors store and release energy, creating a net zero work contribution over time.

ЁЯУМ Key Points
  • тЦ╕

    Reactive power is measured in Volt-Ampere Reactive (VAR).

  • тЦ╕

    It is required to maintain the magnetic field in inductive loads (motors, transformers).

  • тЦ╕

    It does not perform real work, which is why it is often called 'wattless' power.

  • тЦ╕

    Excessive reactive power increases transmission line losses (I┬▓с┤┐).

тЬЕ Advantages
  • тЦ╕

    Necessary for the operation of electromagnetic devices.

  • тЦ╕

    Allows for voltage regulation in power systems via SVCs or STATCOMs.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Reduces the effective capacity of power lines and transformers.

  • тЦ╕

    Causes unnecessary voltage drops across the system impedance.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Grid voltage stability enhancement.

  • тЦ╕

    Induction motor and transformer excitation.

ЁЯУД Additional Information
  • тЦ╕

    The reactive power oscillates at twice the frequency of the system voltage.

  • тЦ╕

    Option D is wrong because while reactive power can be positive or negative (leading or lagging), its average value over a cycle is mathematically zero.

ЁЯУК Diagram / Illustration
Reactive Power CalculationQ = Vс╡гтВШтВЫ Iс╡гтВШтВЫ sin(╧Ж)Average Power (P_avg) = 0Net Energy Transfer over Period T = 0
тЬЕ

C is correct тАФ Reactive power is purely oscillatory, meaning energy is stored and released periodically, resulting in an average value of zero over one full cycle.

Core Concepts Used
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Power Factor Instantaneous Power Energy Storage Elements
ЁЯТб EXAM TIP

Always remember that 'Reactive' refers to the property of energy oscillation; if it had a non-zero average, it would be 'Real' or 'Active' power.

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