A single-phase power system consists of a 600-V 50-Hz generator supplying the circuit shown in Figure (1-a). Find the following: 1) What will the voltage at the load be? What will the transmission line losses be? 2) Suppose a 1:15 step-up transformer is placed at the generator end of the transmission line, and a 20:1 step-down transformer is placed at the load end of the line, as shown in Figure (1-b). What will the load voltage be now? What will the transmission line losses be now? I line IG↑ 0.22 92 www V=600 20°V Z₁ line j 0.30 Ω Vload load Z load 6+j8 Ω

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A single-phase power system consists of a 600-V 50-Hz generator supplying the
circuit shown in Figure (1-a). Find the following:
1) What will the voltage at the load be? What will the transmission line losses be?
2) Suppose a 1:15 step-up transformer is placed at the generator end of the
transmission line, and a 20:1 step-down transformer is placed at the load end of
the line, as shown in Figure (1-b). What will the load voltage be now? What will
the transmission line losses be now?
V=600 20°V
IG
V=600 20°V
T₁
1:15
I line 0.22 22 j 0.30 Ω
www
Z line
I₁
line
Figure (1-a)
0.22 S2
Z line
j 0.30 Ω
Figure (1-b)
V load
+
T2
20:1
load
Z load
I load
6+j8 Ω
+
Vload
Z load
6+18 Ω
Transcribed Image Text:A single-phase power system consists of a 600-V 50-Hz generator supplying the circuit shown in Figure (1-a). Find the following: 1) What will the voltage at the load be? What will the transmission line losses be? 2) Suppose a 1:15 step-up transformer is placed at the generator end of the transmission line, and a 20:1 step-down transformer is placed at the load end of the line, as shown in Figure (1-b). What will the load voltage be now? What will the transmission line losses be now? V=600 20°V IG V=600 20°V T₁ 1:15 I line 0.22 22 j 0.30 Ω www Z line I₁ line Figure (1-a) 0.22 S2 Z line j 0.30 Ω Figure (1-b) V load + T2 20:1 load Z load I load 6+j8 Ω + Vload Z load 6+18 Ω
Expert Solution
Step 1

The given circuit diagrams (1-a) and (1-b) are shown below:

Electrical Engineering homework question answer, step 1, image 1

It is given that:

V=600 Vf=50 HzZload=6+j8 ΩZline=0.22+j0.3 Ω

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