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2.10.2  Equations in distance protection function   
(i)  Element equations for Mho characteristic 
The element of the Mho characteristic is achieved by comparing the angle between S1 and S2 
phases, which are obtained in Equations (2.10-15) and (2.10-16) . If the angle between the S1 
and  the  S2  is  greater  than  90°,  a  fault  is  being  detected  in  the  element  in  the  Mho 
characteristic; then a trip signal will be issued. 
where 
  V = fault voltage 
  I = fault current 
  Zs = reach setting 
  Vp = polarizing voltage 
 
Figure 2.10-4 Element in Mho characteristic 
 
Figure 2.10-4 shows the Mho characteristic obtained by comparing phases, provided the 
fault  voltage  (V)  and  the  polarizing  voltage  (Vp)  are  in  phase.  In  Figure  2.10-4  the  Mho 
characteristic is obtained by dividing the voltage (V) by the current (I). 
   
The Mho characterize is provided to detect for both the distance relays in phase-to-phase 
(ZS) and in ground-fault (ZG); a self-polarization in accompany with cross-polarization (i.e., a 
dual  polarization)  is  employed  for  the  both  characteristic.  The  polarizing  voltage  (Vp)  is 
expressed using Equations (2.10-17) and (2.10-18). 
To the ZS element (for a fault in phase-bc): 
 
  
 
To the ZG element (for an earth fault in phase-a):