TABLE IV 105 



The ordinates to this circle represent the reactive Kva., 

 - -, at the generators. 



(2) Theoretical Limit of the Load in Kilowatts at the 

 Supply End of the Line. 



The maximum load is c f -\- a' 



E s ( E E 8 'R' + E 8 "X'\ 



)r 



1,000 \ V#' 2 + X'* R'* + X' 2 ' 



This is numerically greater than c f since a' is positive. 

 It may be read from the circle diagram, as it is the far- 

 thest distance to the right reached by the circle. 



(3) Reactive Kva. in the Line at Supply End. 



For a more precise value than that obtained from the 

 circle diagram, solve the quadratic equation: 



02 Q 8 * - 2 5 2 Q 8 + C 2 = O 



where a* = R'* + X' 2 



b 2 = - E.' X f + E 8 " R' 



and c 2 = P 8 2 (R' z + X'*) - 2 P 8 (E 8 f R' + E." X') + 

 E/ 2 + E."* - E? 



Then & = fc+VV-*ft 



02 



Use only the positive value of the radical. Q 9 is the 



p r\ 



reactive current, and ! the reactive Kva., at the 

 1,000' 



77 p 



generators, for a given Kw. load, -, on the generators. 



When Q s , as found above, is positive, it represents a 

 leading load on the generators, and when it is negative, 

 a lagging load. 



