46 TRANSMISSION LINE FORMULAS 



TABLE VI. CONVERGENT SERIES FOR TRANSMISSION LINES. 

 CONDITIONS GIVEN AT THE SUPPLY 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 supply end, the same as with the 

 K formulas, find the quantities: 



Full Load. 



.2.3 2-3.4.5 2 

 No Load. 



_ +etc .y 



- 3. 4-5-6- 7 / 



M 9 +JN = E S Y(I - i FZ + F 2 Z 2 - 2L F3 Z 3 + _^_ F 4 Z 4 _ etc \ 

 \ I 5 3*5 2835 / 



where Z=*(r+jx)l. 



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 mrle. 



b = capacity susceptance of conductor per mile. 



Use F, G, M, N, etc., with the equations in the third and fourth pages 

 of Table IV to solve transmission line problems. 



Note i. In the formulas, F -\ -- = is used instead of Vp* + G 2 . This 



2 r 



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-phase lines. For single- 

 phase lines use 2 r and 2 x in place of r and x, and use ^ g and 5 b in place of 

 g and b. 



