15 Questions
What is the formula for instantaneous power?
$p(t) = \frac{1}{2} V_m I_m \cos(\theta_v - \theta_i) + \frac{1}{2} V_m I_m \cos(2\omega t + \theta_v + \theta_i)$
What does the complex power S represent?
Real power, P, able to perform useful work
In normal system operation, which dynamics are decoupled from voltage/reactive-power?
Real power and frequency dynamics
What is the formula for real power?
$P = V I cos\theta$
What is the average of the expression for instantaneous power?
$P = \frac{1}{2} V_m I_m \cos(\theta_v - \theta_i)$
What does the formula $p(t) = V_{max}I_{max} [cos(\theta_{vi}) - cos(2\omega t - \theta_{vi})]$ represent?
Instantaneous power
What is the formula for average power from the given expression for instantaneous power?
$P = \frac{V_{m}I_{m}cos(\theta_{v} - \theta_{i})}{2}$
What is the complex power denoted by the symbol S in the context of power systems?
$S = P + jQ$
What is the angle represented by $\theta$ in the equation $S = V I cos\theta + jV I sin\theta$?
Power factor angle
What do real power, P, and reactive power, Q, represent in a power system?
P is able to perform useful work, Q supports the system electromagnetically
Which formula represents the instantaneous power in the time domain?
$p(t) = V_m I_m cos(\theta_v - \theta_i) + V_m I_m cos(2\omega t + \theta_v + \theta_i)$
What does the complex power S represent in the context of power systems?
Real power and reactive power
Which angle is represented by $\theta$ in the equation $S = V I cos\theta + jV I sin\theta$?
Power factor angle
What is the formula for the average of the expression for instantaneous power?
$P = \frac{V_m I_m cos(\theta_v - \theta_i)}{2}$
In a normal system operation, which dynamics are decoupled from voltage/reactive-power?
Real power and frequency dynamics
Test your knowledge of power system stability and control with this quiz. Answer questions about reactive power, power decomposition, and steady-state frequency-domain models.
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