An AC generator can be modeled as a voltage source in series with an impedance of 0.5 + j10. It is connected to a transmission line having an equivalent impedance of 5 + j12 via an ideal step-up transformer with a turns ratio of a = 0.05. An ideal step-down transformer with a turns ratio of a = 25 connects the other end of the transmission line to a load impedance of 30 + j40. The load voltage is 240 V.
a) Draw the equivalent circuit of the system.
b) (i) Determine the current in the load.
(ii) Determine the current in the transmission line.
(iii) Determine the current in the generator.
c) (i) Determine the output voltage of the step-down transformer.
(ii) Determine the input voltage of the step-down transformer.
(iii) Determine the output voltage of the step-up transformer.
(iv) Determine the input voltage of the step-up transformer.
d) Determine the generator voltage.
e) (i) Determine the total complex power supplied to the load.
(ii) Determine the total complex power supplied by the generator.
(iii) Determine the total complex power dissipated in the transmission line.
f) (i) Determine the power factor at the load.
(ii) Determine the power factor at the generator.
