96 CONSTANT-VOLTAGE TRANSMISSION 



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

 Supply End of the Line. 



The maximum load is 



c + a 



pr i / BE. E*R } 



1000 V V R 2 -f- X 2 R 2 + X 2 ' 



This is numerically greater than c 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: 



a l Q 2 -2b 1 Q 8 + c 1 = o 

 where a 1 = R 2 + X 2 



and a = P 8 2 (R 2 + X 2 ) - 2 E 8 P 8 R + E 2 - & 

 Then ft = bl + V 6l * '" ai Cl 

 Use only the positive value of the radical, ft is the 



Tf /~\ 



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

 1000 ' 



77 P 



generators, for a given Kw. load, 1 ! , on the genera- 

 tors. When ft, as found above, is positive, it represents 

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

 a lagging load. 



