CONVERGENT SERIES 45 



TABLE V. CONVERGENT SERIES FOR TRANSMISSION LINES. 

 CONDITIONS GIVEN AT RECEIVER END. 



The convergent series give the results of the fundamental formulas as 

 accurately as desired, if a sufficient number of terms is used. 



When conditions are given at the receiver end, the same as with the K 

 formulas, find the quantities: 



Full Load. 



No Load. 



where Z = (r+jx) I. 



r = resistance of conductor per mile. 



x = reactance of conductor per mile. 



/ = length of transmission line in miles. 



Y=(g+jb)l. 



g leakage conductance of conductor per mile. 



b = capacity susceptance of conductor per mile. 



Use A, B, C, D, etc., with the equations in the third and fourth pages 

 of Table EH to solve transmission line problems. 



7?2 



Note i. In the formulas, A -\ -- - is used instead of V^l 2 -f B 2 . 



2 . 1 



This approximation may be used for very accurate work, as it is correct 

 within approximately T fo of i% when the regulation is not more than 20%. 

 Note 2. The above are for two- and three-pljase lines. For single- 

 phase lines use 2 r and 2 x in place of r and x, and use f g and f b in place 

 of g and b. 



