The value of V 2 and V 3 using Gauss-Seidel iteration method.

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Chapter 6, Problem 6.37P

To determine

The value of V2 and V3 using Gauss-Seidel iteration method.

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Q1 A three bus system has the following bus power and voltage specifications: Bus Real Reactive Generated Generated Voltage Bus type Power Power Real Reactive (p.u.) Demand Demand Power Power (p.u.) (p.u.) (p.u.) (р.и.) 0.4 0.25 unspecified unspecified 1.05 + j0.0 Slack 1.5 0.9 unspecified P-Q 3 1 unspecified 1.02 Р-V (magnitude) Angle unspecified The Ybus matrix is shown as follows: [542-68° 22Z116° Y = 22/116° 312108° 582-63° 33Z107° p.u. bus 312108° 33/107° 672-67° (a)Determine the voltages at bus 2 and bus 3 after first iterations using Gauss Seidel. Use flat start voltage. (b) If the final value of voltage at buses 2 and 3 are 12-5.13° p.u. and 1.02Z-8.32° p.u. respectively, calculate the following; (i) Real and reactive power generated at bus 1 (ii) Power losses in branch (2-3) 1. 2.

Draw the power system network and form bus admittance matrix (Ybus) matrix for the following power systems. (ii) Bus code Impedance Line charging admittance 1-2 4+j5 J0.05 1-3 6+j9 J0.02 2-3 13+j8 J0.03 2-4 6+j10 J0.05 3-4 12+j13 J0.06