Example 2-3. A simple power system is shown in Figure 2–22. This system con- tains a 480-V 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 + j60 N, and the impedance of the load is 10230°N. The base values for this system are chosen to be 480 V and 10 kVA 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. Line 20Ω Iload Zioad = 10 30°N j60 N 1:10 20:1 Zine 480 0° V Region I Region 2 Region 3

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Example 2-3. A simple power system is shown in Figure 2–22. This system con-
tains a 480-V 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 + j60 N, and the impedance of the load is 10230°N. The base values for this system are
chosen to be 480 V and 10 kVA 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.
line
Iload Zioad = 10 Z 30°N
20Ω
j60 N
1:10
20:1
Zine
VG
480 Z0° V
Region 1
Region 2
Region 3
Transcribed Image Text:Example 2-3. A simple power system is shown in Figure 2–22. This system con- tains a 480-V 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 + j60 N, and the impedance of the load is 10230°N. The base values for this system are chosen to be 480 V and 10 kVA 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. line Iload Zioad = 10 Z 30°N 20Ω j60 N 1:10 20:1 Zine VG 480 Z0° V Region 1 Region 2 Region 3
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