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Homework 02 - ELEN 3441 – Fundamentals of Power...

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ELEN 3441 – Fundamentals of Power Engineering Spring 2011 Page | 1 Homework 2 – Due January 31, 11 2.1. (10 pt.) Show that the power supplied to a three-phase system is constant over time for a balanced load. Particularly, you need to derive the equation 2-22 (same as 3.19.2 in the handouts) starting from the equation 2-21 (same as 3.19.1 in the handouts). 2.2. (15 pt.) Three impedances of 4 + j3 Ω are connected in Δ and used as a load for a three-phase 208 V power line. Find phase and line currents, real, reactive, and apparent powers, and the power factor of this load. 2.3. (25 pt.) For the circuit in Figure 2.1 with the parameters shown, determine the following: Figure 2.1 a) the line voltage of the two loads; b) the voltage drop along the transmission line; c) real and reactive powers supplied to each load; d) real and reactive power losses in the transmission line; e) real and reactive powers and the power factor supplied by the generator.
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Unformatted text preview: ELEN 3441 – Fundamentals of Power Engineering Spring 2011 Page | 2 2.4. (25 pt.) Find the magnitudes and angles of each line and phase voltage and current on the load shown in Figure 2.2. Figure 2.2 2.5. (25 pt.) Figure 2.3 shows a one-line diagram of a small 480 V distribution system in a plant. An engineer working at the plant needs to calculate the current that will be drawn from the power source with and without the capacitor bank switched into the system. For the purposes of these calculations, the engineer assumes zero impedances for the lines. Figure 2.3 a) If a switch is open, find the real, reactive, and apparent powers in the system; find the total current supplied to the distribution system from the power source. b) Repeat the same calculations as in a) if the switch is closed. c) What happened to the total current supplied to the power system if the switch is closed? Why?...
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