TABLE IV 



Formulas for Long Constant-Voltage Lines 



Conditions Given at Supply End 

 These formulas give the results of the fundamental 

 hyperbolic formulas as accurately as desired, if a suf- 

 ficient number of terms of the convergent series is used. 

 Conditions given: 

 E = Voltage at receiver end. 

 E 8 = Voltage at supply end. 

 Z = R+jX. 



R = Resistance of one conductor. 

 X = Reactance of one conductor. 

 Y = G+jB. 



G = Leakage conductance of one conductor. 

 B = Capacity susceptance of one conductor. 



(See Tables VII-XVI, " Transmission Line 



Formulas.") 



P 8 = Current at the supply end in phase with E 8 , in 

 total amperes. 



cos B = Power-factor, lagging, of the load. 



Cv 7 

 i+- 2 - 



and(*' +JX') = (R + jX) (x+ 



(i) Circle Diagram. 



Describe a circle with centre (#', Z>') and radius c', 

 where 



,_ . E s E 8 'R' + E 8 "X' 



h 1,000 R'* + X' 2 

 , E s E.' X' - E s " R' 



~ 1,000 R' 2 



, , , E. E 



and c = H 



. 

 1,000 V#' 2 + X' 2 



104 



