Module 7 : Out of Step Protection
Lecture 24 : Power Swings and Distance Relaying
  Analysis of Two Area System (contd..)
 

Now, suppose, that a self clearing transient three phase short circuit fault occurs on the line. During the fault, the electrical output power drops to zero. The resulting rotor acceleration advances rotor angle to . After a time interval , corresponding to angle , the fault is cleared and the operating point jumps back to the sinusoidal curve. As per equal area criteria, the rotor will swing up to maximum rotor angle , such that,
Accelerating Area (A1) = Decelerating Area (A2)
Rotor angle corresponding to fault clearing time can be computed by swing equation,

                                                                                                                        (2)
 

where H is the equivalent rotor angle inertia.
During fault, Pe = 0, hence,

                                                                                                                                            (3)
 

On integrating both the sides with respect to variable t,

                                                                                                                                   (4)  
 

Recall that prior to fault, is a stationary point. Hence, the initial condition of is specified as follows:

 
   
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