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

Integrating equation (4) and substituting at time t = t1, with ,

                                                                                                                                          (5)
  Thus, accelerating area A1 is given by,
                                                                                                                          (6)
  Substituting equation (5) in equation (6),
                                                                                                                                                    (7)
  Similarly, decelerating area, A2, can be calculated as follows.
           (8)
 

Since for a stable swing,

                                                               (9)
  i.e.                                                                                                         (10)
 

Since, is a function of Pmo from equation (1) and is function of Pmo as well as from equation (5), it follows from equation (10) that depends on Pmo and .

 

i.e.                                                                                                                                      

(11)
   
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