Reactive Power Quiz
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Questions and Answers

What is the expression for instantaneous power in the time domain?

  • $p(t) = \frac{1}{2}[V_m I_m \cos(\theta_v - \theta_i) - V_m I_m \cos(2\omega t + \theta_v + \theta_i)]$
  • $p(t) = P + Q(t)$
  • $p(t) = V_{max} I_{max}[\cos(\theta_{vi}) - \cos(2\omega t - \theta_{vi})]$
  • $p(t) = V_m I_m [\cos(\theta_v - \theta_i) + \cos(2\omega t + \theta_v + \theta_i)]$ (correct)

    • What is the complex power defined as?

  • $S = V I$
  • $S = V_{max} I_{max}[\cos(\theta_{vi}) - \cos(2\omega t - \theta_{vi})]$
  • $S = V I \cos\theta + j V I \sin \theta$
  • $S = P + jQ$ (correct)

    • In which form is complex power often expressed?

  • $S = P + jQ$
  • $S = V_{max} I_{max}[\cos(\theta_{vi}) - \cos(2\omega t - \theta_{vi})]$
  • $S = V I$
  • $S = V I \cos\theta + j V I \sin \theta$ (correct)

    • What do the real and reactive power components of a generator's complex power represent?

    <p>Real power represents the ability to perform useful work, while reactive power supports the system electromagnetically.</p> Signup and view all the answers

    In normal system operation, what dynamics are decoupled from each other?

    <p>Frequency/real-power dynamics are decoupled from voltage/reactive-power dynamics.</p> Signup and view all the answers

    What is the average power expression for instantaneous power?

    <p>$P = V_m I_m \cos(\theta_v - \theta_i)$</p> Signup and view all the answers

    What is the complex power defined as?

    <p>$S = P + jQ$</p> Signup and view all the answers

    In normal system operation, which dynamics are decoupled from each other?

    <p>Voltage/reactive-power dynamics from frequency/real-power dynamics</p> Signup and view all the answers

    What is the expression for instantaneous power in the time domain?

    <p>$p(t) = [\cos(\theta_{vi}) - \cos(2\omega t - \theta_{vi})]/2$</p> Signup and view all the answers

    What do the real and reactive power components of a generator's complex power represent?

    <p>Real power is able to perform useful work, Reactive power supports the system electromagnetically</p> Signup and view all the answers

    Study Notes

    Reactive Power and Phase Shift

    • Reactive power is related to the phase shift between voltage and current.
    • The phase shift affects the current required to provide real power, with a higher reactive power causing a higher current.

    Instantaneous Power and Average Power

    • Instantaneous power is the product of instantaneous voltage and current.
    • Instantaneous power can be decomposed into two terms: real power and reactive power.
    • Real power is the average power consumed by a load, while reactive power is the power that does not perform any useful work.
    • The average power is the fixed average component of the instantaneous power.

    Steady-State Frequency-Domain Model

    • The steady-state frequency-domain model is represented by S = V I* = P + jQ.
    • P is the real power, and Q is the reactive power.
    • The existence of Q causes current to be higher than necessary to provide P, which can "clog up the system".

    Instantaneous Electric Power

    • Instantaneous electric power is represented by p(t) = Vmax Imax sin(ωt) sin(ωt - θ).
    • The power can be decomposed into two terms: a fixed average term and a zero average term.

    Power Decomposition

    • Power can be decomposed into two terms: P (1-cos(2wt)) and Q sin(2wt).
    • P is the real power, and Q is the reactive power.
    • The values of P and Q are given by P = 0.275 PU Watts and Q = 0.205 PU VARS.

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    Description

    Test your knowledge on reactive power with this quiz. From understanding the definition to its mathematical representation, this quiz covers various aspects of reactive power.

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