92 CONSTANT-VOLTAGE TRANSMISSION 



(2) Theoretical Limit of Load, in Kilowatts. 

 The maximum load is 



c + a 

 EE S 



__i_ / 

 i ,000 V 



This is numerically less than c, since a is negative. It 

 may be read from the circle diagram, as it is the farthest 

 distance to the right reached by the circle or the ellipse. 



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

 For a more precise value than that obtained from the 

 circle diagram, solve the quadratic equation: 



01 Q 2 - 2 &! Q + C, = O 



where ai = R 2 + X 2 



and ci = P 2 (R 2 + X 2 ) + 2 E P R + E 2 - E 8 Z 



Then Q = h-Vh'-o^ 



ai 

 Use only the negative value of the radical. Q is the 



^ Q 

 reactive current, and -- , the reactive Kva., in the line 



1,000* 



W P 



at the receiver for a given Kw. load - . When 0, as 



1,000 



found above, is positive, it represents leading reactive 

 Kva. in the line at the receiver, and lagging, when it is 

 negative. 



(4) Line Power-factor at Receiver End. 



100 P 



. = per cent. 



V P 2 + Q 2 



P is determined from the Kw. load, and Q is either read 

 from the circle diagram or calculated by means of (3) 



