Consider a simple power system consisting of an ideal voltage source, an ideal step-up transformer, a ransmission line, an ideal step-down transformer, and a load. The voltage of the source is V, = 480/0° V . The impedance of the transmission line is Z = 3+ j4 N, and the impedance of the oad is Zg = 30 + j40 n. a) Assume that the transformers are not present in the circuit. What is the load voltage and efficiency of the system? b) Assume that transformer 1 is a 1:5 step-up transformer, and transformer 2 is a 5:1 step-down transformer. What is the load voltage and efficiency of the system? c) What transformer turns ratio would be required to reduce the transmission line losses to 1% of the

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Q3.
Consider a simple power system consisting of an ideal voltage source, an ideal step-up transformer, a
transmission line, an ideal step-down transformer, and a load.
V, = 48020° V. The impedance of the transmission line is Ze = 3+ j4 N, and the impedance of the
The voltage of the source is
load is Z = 30 + j40 Q2.
(a) Assume that the transformers are not present in the circuit. What is the load voltage and efficiency
of the system?
(b) Assume that transformer 1 is a 1:5 step-up transformer, and transformer 2 is a 5:1 step-down
transformer. What is the load voltage and efficiency of the system?
(e) What transformer turns ratio would be required to reduce the transmission line losses to 1% of the
total power produced by the generator?
Transcribed Image Text:Q3. Consider a simple power system consisting of an ideal voltage source, an ideal step-up transformer, a transmission line, an ideal step-down transformer, and a load. V, = 48020° V. The impedance of the transmission line is Ze = 3+ j4 N, and the impedance of the The voltage of the source is load is Z = 30 + j40 Q2. (a) Assume that the transformers are not present in the circuit. What is the load voltage and efficiency of the system? (b) Assume that transformer 1 is a 1:5 step-up transformer, and transformer 2 is a 5:1 step-down transformer. What is the load voltage and efficiency of the system? (e) What transformer turns ratio would be required to reduce the transmission line losses to 1% of the total power produced by the generator?
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