An electromechanical AC/DC conversion system consists of a 460V, 175hp, four-pole, 60Hz, Y connected induction motor mechanically coupled to a separately excited, 430V, 130kW, four-pole DC generator. The parameters of the motor and the generator are given below: Induction Motor: R1=0.058Ω; R2=0.037Ω DC Generator: Ra=0.15Ω; Pf,wi=2kW X1=0.32Ω; Xm=9.24Ω; X2=0.386Ω Pf,wi=1kW Test measurements show that the field winding current of the DC generator has to be adjusted to 20A when the machine operates at full load at 1800rpm and rated voltage. If the induction machine, supplied from the 460V (line to line) source, operates at 4% slip while driving the DC generator, calculate: a) The induction motor stator current, input power, and output torque (mechanical torque on the motor shaft). b) The DC generator load current, and the output power delivered to the load, assuming that the field winding current is 20A. Calculate the efficiency of the whole system

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An electromechanical AC/DC conversion system consists of a 460V, 175hp, four-pole, 60Hz,
Y connected induction motor mechanically coupled to a separately excited, 430V, 130kW,
four-pole DC generator. The parameters of the motor and the generator are given below:

Induction Motor:
R1=0.058Ω; R2=0.037Ω
DC Generator:
Ra=0.15Ω;
Pf,wi=2kW
X1=0.32Ω;
Xm=9.24Ω;
X2=0.386Ω
Pf,wi=1kW

Test measurements show that the field winding current of the DC generator has to be
adjusted to 20A when the machine operates at full load at 1800rpm and rated voltage.
If the induction machine, supplied from the 460V (line to line) source, operates at 4% slip
while driving the DC generator, calculate:
a) The induction motor stator current, input power, and output torque (mechanical torque
on the motor shaft).
b) The DC generator load current, and the output power delivered to the load, assuming
that the field winding current is 20A. Calculate the efficiency of the whole system

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