82 CONSTANT-VOLTAGE TRANSMISSION 



may be found. The series should be continued until 



Y Z 



the terms are negligible in comparison with , which 



will be evident by inspection while doing the work. It 

 is seldom necessary to include more than the terms in 

 F 2 Z 2 in power transmission work. 



By addition of terms obtained above, the values of 



YZ V* Z* . YZ , F 2 Z 2 



+ etc. and + etc. 



2 2.3.4 2.3 2.3.4.5 



are obtained, each as a complex number of two 

 terms. 



For obtaining the quantities required in using Table 



(Y Z \ 

 h etc.j 



and add it to E, thus obtaining E' +j E". In a similar 



(Y Z \ 



way, multiply R +j X by ^ \- etc.y , and add it to 



R+j X, the result being R' +j X'. Similar opera- 

 tions are used for Table IV. 



The form of the equations in Tables III and IV is 

 very similar to that in Tables I and II. Methods for 

 deriving most of the formulas are the same as for varying- 

 voltage lines. 



The formulas of Tables I to IV are suitable for net- 

 works. Each junction point of a constant- voltage trans- 

 mission line net-work has a definite voltage, and so each 

 line in the net- work can be calculated, the variable item 

 being the amount of real power transmitted over the 

 line. Given the amount of real power, then the rat- 

 ing of synchronous motors to be placed at the* two 

 junction points for the sake of the line between 



