This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...of power transmitted. (C) Same power loss in conductors (losses due to leakage or capacity of lines are neglected). (D) Same insulation used on both systems. This last condition is practically equivalent to stating that the maximum value of the voltage shall be the same. It is proposed to consider the following four ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...of power transmitted. (C) Same power loss in conductors (losses due to leakage or capacity of lines are neglected). (D) Same insulation used on both systems. This last condition is practically equivalent to stating that the maximum value of the voltage shall be the same. It is proposed to consider the following four conditions: (a) Same maximum pressure above ground; the directcurrent voltage being V2 times the alternating-current voltage (sine wave assumed). Ea 1 Ratio (1) where E and Ea stand respectively for the continuous and alternating voltages to ground. (See Figs. 48 and 49.) Fig. 48. Fig. 49. Figs. 48 and 49.--Comparison of voltages on direct-current and three-phase systems. (b) Same as (a); but direct-current voltage double the alternating voltage. (c) Same-pressure between wires; the allowable direct-current pressure being V2 times the alternating-current pressure. y/ZEn 1. E V2 (d) Same as (c); but direct-current pressure double the alternating-current pressure. V3Ea 1 Ea 1--or ratio (4) To satisfy the condition of equal total power, the equation is, 2 EXl = 3EaIa cos 0 (5) and for equal line losses, 2PR = 3PaRa (6) where I is the current per conductor in the direct-current transmission, and R the resistance per mile of single conductor; while Ia and Ra are the corresponding quantities for the three-phase transmission. In either system the total weight (and cost) of the conductors. number of conductors, ., is proportional to resistance of each conductor whlch Slves the relation, Cost of conductors, direct-current system 2Ra Cost of conductors, three-phase system--ZR ' but Ra can be expressed in terms of R thus: By (6) and by (5) 4 2 which, when put for 72 in formula (8), gives, 3ff 2 cos2 OXR 2E2 ' Thus the equation given by (7)...
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