Jei'^fcott — Ekclrical Design 0/ A.C. High Tension Ti-ansmission Lines. 85 



IJ = 31416. 



pL = -673. 

 pS = 4:-4: X 10-^ 

 m = y(45TT7'''^673yC005TTTir4) x 10- 



y - 2-958 + i\ 1'9S3 X 10-= = -000548 + i x -001806. 



„ _ 1-45 + i X -673 , 



" V-00 5 +ix4-4 "" ^^' = ^'l^^ - ^ ^ '102 X lO-' = 410 - i x 124-4 



ml = 200 (-000548 + i x -001806) = -1096 + i x -3612. 

 cosh ml = eosh -1096 cos -3612 + i siiih -1096 sin -3612. 

 cosh -1096 = 1 + -0060 + -000006 = 1-0060. 

 suih -1096 = -1096 + -00022 = -10982. 

 cos -3612 = -9354. 

 sin -3612 = -3535. 

 cosh ml = 1-006 x -9354 4 i x -10982 x -3535 = -941 + i x -0388. 

 siuh ml = -10982 x -9354 + i x 1-006 x -3535 = -1027 + ix -356. 

 ns'mml = (410 - i x 124-4) (-10-27 + i x -356) = 86-4 + i x 133-2. 

 sinhml -1027 + -i x -35 6 , .^.„, . _..^ ^^^ 



= JTn '■ TTTTT = (- 12 2( + IX 86o) X 10"'. 



n 410 - t X 124 4 ^ ' 



(4) Calculation of electrical quinitit', 



les. 



— jr. — = 57,700 at cos = -85, = 49,000 + i x 30,400. 



8,250 „H-/M 

 1\ = ~~ = 2,7o0 kw. 



„ 2,750,000 .„ , 

 ^= = "4pOr = ^^'^ '^^P'- 

 Fj = V-,cosh7nl + nCi sinhml. 

 F.cosh m/ = (49,000 + i x 30,400) (-941 + i x -0388) = 44,920 + i x 30,500. 

 dnsmhml = 56-1 x (86-4 + i x 133-2) = 4,850 + i x 7,480. 



.-. Fi = 49,770 + i X 37,980 = 62,600 volfcs to neutral at sending end. 

 G. = Cacosh ml + -^ siiih inl. 

 Cg cosh m; = 56-1 (-941 +ix -0388) = 52-8 + i x 2-18. 

 —' sinh m/ = (49,000 + i x 30,400) (- 12-27 + i x 865) x lO""^ = - 26-9 + i x 42-08. 



.-. Ci = 25-9 + i X 44-26 = 51-3 amps, per phase. 



Pi = 49,770 X 25-9 + 37,980 x 44-26 = 1,-^90,000 + 1,680,000 = 2 970 kw, 



^.750 . 



" = 2:970 = ^^^• 



^-, 49,770 + ^ X 37,980 ,, ,.„ 



^2 = -Qzii ^ .- ^ -nQQQ = 54,4t)0 + z X 38,150. 



•941 + i X -0388 



. /H450^H- 38,150^ ^ ,.j52 

 V49,0002 + 3O,40u2 



