Value of voltage V 3 using Gauss-Seidel method after second iteration

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following figure shows the one-line diagram of a power system. Bus 1 is selected as a reference bus (slack bus), and bus 2 is load bus. Using the Gauss-Seidel method, determine the value of the voltage at the load bus 2 and perform two iteration. Moreover determine the complex power flow at bus 1 and also active and reactive power in transmission line. The line impedance on a base of 100 MVA. Use an initial estimate of V,º = 1+ j(0) . S1 Z12 = 0.02 + j0.04 2 S2 = 280 MW +j60 Mvar

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Chapter 6, Problem 6.34P

To determine

Value of voltage V₃ using Gauss-Seidel method after second iteration

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following figure shows the one-line diagram of a power system. Bus 1 is selected as a reference bus (slack bus), and bus 2 is load bus. Using the Gauss-Seidel method, determine the value of the voltage at the load bus 2 and perform two iteration. Moreover determine the complex power flow at bus 1 and also active and reactive power in transmission line. The line impedance on a base of 100 MVA. Use an initial estimate of V,º = 1+ j(0) . S1 Z12 = 0.02 + j0.04 2 S2 = 280 MW +j60 Mvar

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In the power system network shown in Figurebelowbus 1 is a slack bus with V = 1.020° per unit and bus 2 is a load bus with S2 300 MW + 80 Mvar. The line impedance on a base of 100 MVA is Z = 0.01 + j0.02 per %3D unit. (a) Using Gauss-Seidel method, determine V. Use an initial estimate of = 1.0 + j0.0 and perform two iterations. i.e.Deternine(a)V2 and (b)V½? Z12 = 0.01+ j0.0 2 2 S2 300 MW+80 Mvar (a) 0.954 - j0.052 (b) 0.949 - j0.0517 (a) 0.914 - j0.0152 (b) 0.949 - j0.0517 (a) 0.945 - j0.025 (b) 0.994- j0.0571 (a) 0.965 - j0.0255 (b) 0.914 - j0.0529