ECE 4300/5300 ELECTRIC POWER SYSTEMS SPRING 2016 HW #1 DUE: 02/01/2016 NOTE**: There are answers to some of the problems at the ends of the some of the course textbooks. To get full credit, you must show how you got your answers or you will receive ZERO score. 1. In general the voltage across an inductor and the current through a capacitor are dv di v L L L and iC C C respectively. dt dt (a) Consider the simple RLC circuit shown in Fig. P1.1. Choosing the inductor current and the capacitor voltage as the states or variables, obtain the two integral equations for iL and vC in terms of the states or variables and the input voltage (b) Obtain the SIMULINK simulation block diagram for the equations of (a). iS R2 R1 iC VS1 vC iR R4 vL iL L VS2 C R3 Fig. P1.1 2. Consider the network of Fig. P2.1. (a) Label all node voltages and branch currents (b) Compute the voltages V1 and V2. (c) Determine the currents I1, I2, I3, I4, and I5. (d) Determine the total complex power of the sources. (e) Determine the total complex power from the components. (f) Draw one closed phasor/vector diagram of the currents. 10 Ω I1 I2 j2 2Ω V1 I3 j5 V2 I4 3Ω I5 5Ω o 5/0 V o 10/45 V -j4 Fig. P2.1 3. Power System: Analysis & Design by Glover, etc. - Problem #2.50 pp. 84.