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HW # 5, Chapter 7, {Gauss Seidel Method } For the small power system shown below, the following are given : - use Sbase =

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HW # 5, Chapter 7, {Gauss Seidel Method } For the small power system shown below, the following are given : - use Sbase = 120 MVA - bus no.1 is the swing bus with V 481 = 1.0828 p.u., and V3 = 1.03 p.u. - use the following initial guesses for bus no. 2, 3 and 4: V2_82 = 1.0424 p.u. and V4484 = 1.022 p.u. 83 = 5 - Solve using Gauss-Seidel Method, make sure to do the following: 1) Construct the [You) in Rectangular and polar-degree form. 2) Perform two iterations, and keep five decimal places. S-110+j60 (MIVA) swing 1 Total Charging Mars 8.6 Z = 0.00399 +0.044 Z 0.00511 +0.0292 Total Charging Mvars 7.75 z = 0.00213 + 0.0622 Total Charging Mivars 13.5 4) Z=0.00511 tj 0.0292 Total Charging Mars 11.5 S = 185 +j65 (MVA) R = 195 (MW) S=130 + j75 (MVA)

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