Please solve question three

-1) Figure 1 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=10 per unit. Voltage magnitude at bus 2 is fixed at 1.0 pu with a real power generation of 60MW. A load consisting of 80MW and 60Mvar is taken from bus 3. Line impedances are marked in per unit on a 100MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected 5) Start solving the load flow problem for the system in Figure 1 with NewtonRaphson by calculating the first iteration assuming flat start as initial condition x0. Remember that is in radians. Start with the initial estimates of V2(0)=1+ j0,V3(0)=1+j0 and keeping V2=1 pu, determine the phasor values of V2 and V3. Perform two iterations. a) Determine c,x0 and c0=cf(x0) numerically. b) Compute the correction x0=J01c0 c) Determine the corrected value x0+x0=x1 d) Check the improvement by computing cl=cf(x1)106 e) Calculate the slack bus power P1 and Q1 f) Calculate the line losses -1) Figure 1 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=10 per unit. Voltage magnitude at bus 2 is fixed at 1.0 pu with a real power generation of 60MW. A load consisting of 80MW and 60Mvar is taken from bus 3. Line impedances are marked in per unit on a 100MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected 5) Start solving the load flow problem for the system in Figure 1 with NewtonRaphson by calculating the first iteration assuming flat start as initial condition x0. Remember that is in radians. Start with the initial estimates of V2(0)=1+ j0,V3(0)=1+j0 and keeping V2=1 pu, determine the phasor values of V2 and V3. Perform two iterations. a) Determine c,x0 and c0=cf(x0) numerically. b) Compute the correction x0=J01c0 c) Determine the corrected value x0+x0=x1 d) Check the improvement by computing cl=cf(x1)106 e) Calculate the slack bus power P1 and Q1 f) Calculate the line losses