1. A single-phase power system consists of a 480-V 60-Hz generator supplying a load of Zload = 4 + j3 ? through a transmission line of impedance Zline = 0.18 + j0.24 ?. (a) (i) If the power system is exactly as shown in Fig. P1.1, calculate the line current voltage at the load. (ii) Calculate the transmission line losses. (b) Suppose a 1:10 step-up transformer is placed at the generator end of the transmission line and 10:1 step-down transformer is placed at the load end of the line (see Fig. P1.2). Calculate the (i) load current (ii) new voltage at the load, and (iii).new transmission line losses.
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\[ Z_{\text{total}} = Z_{\text{line}} + Z_{\text{load}} \] \[ Z_{\text{total}} = (0.18 + j0.24) + (4 + j3) \] \[ Z_{\text{total}} = 4.18 + j3.24 \] Show more…
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A simple power system is shown below. This system contains a 480V generator connected to an ideal 1:10 step-up transformer, a transmission line, an ideal 20:1 step-down transformer, and a load. The impedance of the transmission line is 20 + j60̦, and the impedance of the load is 10∠30° ̦. The base values for this system are chosen to be 480V and 10kVA at the generator. a) Find the base voltage, current, impedance, and apparent power at every point in the power system b) Convert this system to its per-unit equivalent circuit c) Find the power supplied to the load in this system d) Find the power lost in the transmission line.
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