6.12. Figure 6.25 shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2. The voltage at bus 1 is V - 1.020 per unit. Voltage magnitude at bus 2 is fixed at 1.05 po with a real power generation of 400 MW. A load consisting of 500 MW and 400 Mvar is taken from bus 3. Line admittances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected. (a) Show that the expression for the real power at bus 2 and real and reactive power at bus 3 are B, 40W ||| cos(90 - 63+ 8) + 2016|IV|Con(90 - 83 + b) P-2014|||Cos(90 -63 +61) 2017 || con(90 - + ) Q; --20MM sin(90 -63+6)-2016||63|sin (90 -65+)+40/V51 (b) Using Newton-Raphson method, start with the initial estimates of 10+ 0 and V -10 + 10, and keeping 1.05 pu, determine the phasor values of Vand V. Perform two iterations. (e) Check the power flow solution for Problem 6.12 using Iewton and other required programs. Assume the regulated bus bus #2) reactive power limits are between 0 and 600 Mvar. V1240 B.- 100 MW FO Vi = -20 12 - 20 11 - 1.05 Vick Boco MW Mys 6.12. Figure 6.25 shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2. The voltage at bus 1 is V - 1.020 per unit. Voltage magnitude at bus 2 is fixed at 1.05 po with a real power generation of 400 MW. A load consisting of 500 MW and 400 Mvar is taken from bus 3. Line admittances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected. (a) Show that the expression for the real power at bus 2 and real and reactive power at bus 3 are B, 40W ||| cos(90 - 63+ 8) + 2016|IV|Con(90 - 83 + b) P-2014|||Cos(90 -63 +61) 2017 || con(90 - + ) Q; --20MM sin(90 -63+6)-2016||63|sin (90 -65+)+40/V51 (b) Using Newton-Raphson method, start with the initial estimates of 10+ 0 and V -10 + 10, and keeping 1.05 pu, determine the phasor values of Vand V. Perform two iterations. (e) Check the power flow solution for Problem 6.12 using Iewton and other required programs. Assume the regulated bus bus #2) reactive power limits are between 0 and 600 Mvar. V1240 B.- 100 MW FO Vi = -20 12 - 20 11 - 1.05 Vick Boco MW Mys