A 13.8-kV single-phase generator supplies power to a load through a transmission line. The load’s impedance is Z , and the transmission line’s impedance is load =Ð ° 500 3687 . W Zline °Ð= 6060 W.
(a) If the generator is directly connected to the load (Figure P2-3a), what is the ratio 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 reached the load (what is the efficiency of the transmission system)?
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(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 reached the load now?
(e) Compare the efficiencies of the transmission system with and without transformers.