ECE 4300/5300 ELECTRIC POWER SYSTEMS SPRING 2016 HW #6 DUE: 04/04/2016 NOTE**: There are answers to some of the problems at the end of the book. To get full credit, you must show how you got your answers or you will receive ZERO score. 1. Use the Newton-Raphson method to solve f1 ( x) x12 x2 1 0 f 2 ( x) x1 x22 1 0 x1(0) = 1 and x2(0) = 1, and a stopping criteria = 10-4. 2. Problem #6.11 pp. 291. 3. The Fig. P3.1 shows the one-line diagram of a simple four-bus power system. It is given that all the lines are characterized by a series impedance of 0.1 + j0.7 Ω/km and a shunt admittance of j0.35 x 10-5 S/km. Lines are rated at 220 kV. Use the base values 220 kV and 100 MVA. Take ground as a reference. Express all impedances and admittances in per unit. Perform a load flow study for the system of Fig. P3.1. The bus power and voltage specifications are given Table P3.1. 1 2 100 km 150 km 110 km 100 km 120 km 4 Fig. P3.1 3 Table P3.1 Bus 1 2 3 4 Bus Power (p.u.) Real Reactive Unspecified Unspecified 0.95 Unspecified -2.0 -1.0 -1.0 -0.2 Voltage Magnitude (p.u.) Bus Type 1.02 1.01 Unspecified Unspecified Slack PV PQ PQ Compute the unspecified bus voltages, all bus powers, and all line flows. Assume unlimited Q sources.