[3] A. Discuss the importance of power flow studies. B. Figure 3 below shows the one-line diagram of a simple three-bus

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3 A Discuss The Importance Of Power Flow Studies B Figure 3 Below Shows The One Line Diagram Of A Simple Three Bus 1 (158.84 KiB) Viewed 20 times

[3] A. Discuss the importance of power flow studies. B. Figure 3 below shows the one-line diagram of a simple three-bus power system with generation at bus 1. The voltage at bus 1 is Vi= 1.020° per unit. The scheduled loads on buses 2 and 3 are marked on the diagram. Line impedances are marked in per unit on a 100-MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected. Vi = 120° 1 2 v2 =1.0tjo ਹੋ ਕੇ 330 2 400 MW Slack ++ 320 Mvar 30.0125 30.05 iso 9 20 3 103+° 300 MW 270 Mvar Figure 3. One line diagram for Question 3B. = (i) Using Gauss-Seidel method and initial estimates of v20) = 1.0 +j0 and V30) = 1.03 +jo and keeping |V3|= 1.03 pu, determine the phasor values of V2 and 13. Perform one iteration. (ii) If after several iterations the bus voltages converge to V2 = 1.001243 2-2.1° = 1.000571 – 30.0366898 pu V3 = 1.03 < 1.02970679.0240 pu 7 determine the line flows and line losses and the slack bus real and reactive power. [5] (iii) Construct a power flow diagram and show the direction of the line flows. [3]