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13.8-kV, single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 Z 36.87°, and the transmission line's im- pedance is Zline 60 Z60°.

13.8-kV, single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 Z 36.87°, and the transmission line's im- pedance is Zline 60 Z60°.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Solve all the steps of d) and e) only showing all the steps in correct details

2-14. A 13.8-kV, single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 36.87°, and the transmission line's im- pedance is Zline = 60 < 60°. VG = 13.8/ 0° kV VG-13.8L 0 kv 1:10 T₁ 60L 60° Ztine (a) 60L 60° Zine (b) 10:1 T₂ 500L 36.87°2 Zload 500L 36.87°2 FIGURE P2-3 Circuits for Problem 2-14: (a) without transformers and (b) with transformers. Zload (a) If the generator is directly connected to the load (Figure P2-3a), what is the ra- tio of the load voltage to the generated voltage? What are the transmission losses of the system? (b) What percentage of the power supplied by the source reaches the load (what is the efficiency of the transmission system)? (c) If a 1:10 step-up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage? What are the transmission losses of the system now? (Note: The transformers may be assumed to be ideal.) (d) What percentage of the power supplied by the source reaches the load now? (e) Compare the efficiencies of the transmission system with and without transformers.
Transcribed Image Text:2-14. A 13.8-kV, single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 36.87°, and the transmission line's im- pedance is Zline = 60 < 60°. VG = 13.8/ 0° kV VG-13.8L 0 kv 1:10 T₁ 60L 60° Ztine (a) 60L 60° Zine (b) 10:1 T₂ 500L 36.87°2 Zload 500L 36.87°2 FIGURE P2-3 Circuits for Problem 2-14: (a) without transformers and (b) with transformers. Zload (a) If the generator is directly connected to the load (Figure P2-3a), what is the ra- tio of the load voltage to the generated voltage? What are the transmission losses of the system? (b) What percentage of the power supplied by the source reaches the load (what is the efficiency of the transmission system)? (c) If a 1:10 step-up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage? What are the transmission losses of the system now? (Note: The transformers may be assumed to be ideal.) (d) What percentage of the power supplied by the source reaches the load now? (e) Compare the efficiencies of the transmission system with and without transformers.
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