Alternating Current Machines

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, ,. , 1000 P D 2000 PKJL.^ Line drop = Ex = R = ^S~^ Section of conductor = S = ^ K^ L 308 ALTERNATING-CURRENT MACHINES.
The total annual charge due to line loss plus interest on conductors is cfx + 2 p&KzLiS, and per delivered kilowatt is c^Px + 2 p, c 2 K, L, S ~ ~ P -Px Substituting the value of S, this becomes or _gg_ftc. :. :. 4 V LOOP. () 9 i - x E 2 x (i - x) If K is substituted for p^K t K t 4 i, 2 1000, then c, ar K 9 = 7^^ + > (i - *j ' (4) To find the minimum value of q, its derivat
...ive is placed equal to zero, and there obtains dq 2 K K = V 2 +r*- 2 =o; (5) whence * = - -- - + - . 2 ti * ^ But as jc is positive If the preceding were worked out for a constant or fixed delivered E. M. F. , instead of a fixed impressed E. M. F. , allowing the latter to become what it might, the expression POWER TRANSMISSION. 309 for q would be the same, except that the denominator would be P instead of P (i x), the quantities E, x, P, etc. , being then delivered quantities instead of impressed quantities.

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