Prove that Volume of The conductor is Inversely proportional to - TopicsExpress



          

Prove that Volume of The conductor is Inversely proportional to the squire of Voltage ( Vol = 1/V2). And what is the effect of this relation on Transmission and Distribution System. Power in Three Phase Circuits P = √3 V I Cosθ OR I = P / √3 V Cos θ (1) Law’s of resistance = R = ρ (l /A) (2) Power Loss in Three Phase Circuits = P = 3 I2R (3) Putting the Values of I and R from Equation (1) and (2) into Equation (3). P = 3 (P / √3 V Cos θ)2 x [ρ (l /A)] P = 3 (P2/3 V2 Cos2 θ) x ρ (l /A) P = W = P2 ρ l / V Cos2 θ A… OR … A = P2 ρ l / V2 Cos2 θ W (4) Volume of the conductor in Three Phase System= Vol = 3A x Length (5) Putting the value of “A” from Equation (4) into Equation (5) Vol = 3 P2 ρ l / W V2 Cos2 θ Hence Proved that Volume of the Conductor is inversely proportional to the squire of Voltage Volume of the Conductor = Vol ∞ 1/V2
Posted on: Tue, 15 Oct 2013 03:27:58 +0000

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