Load PowerWorld Simulator case Problem 6_46. Using a 100 MVA base, each of the three transmission lines have an impedance of \(0.05+j 0.1 \) p.u. There is a single \(180 \mathrm{MW}\) load at bus 3, while bus 2 is a PV bus with generation of \(80 \mathrm{MW}\) and a voltage setpoint of 1.0 p.u. Bus 1 is the system slack with a voltage setpoint of 1.0 p.u. Manually solve this case using the Newton-Raphson approach with a convergence criteria of \(0.1 \mathrm{MVA}\). Show all your work. Then verify your solution by solving the case with PowerWorld Simulator.