A 100-kW, 460-V, 60-Hz, four-pole, three-phase synchronous machine is to be operated as a synchronous motor under

Question:

A 100-kW, 460-V, 60-Hz, four-pole, three-phase synchronous machine is to be operated as a synchronous motor under field-oriented torque control using a system such as that shown in Figure a. The machine has a synchronous reactance of 0.932 per unit and AFNL = 15.8 A. The motor is operating at rated speed, loaded to 50 percent of its rated torque at a field current of 14.0 A with the field-oriented controller set to maintain iD = 0.

a. Calculate the synchronous inductance Ls and armature-to-field mutual inductance Laf, both in henries.

b. Find the quadrature-axis current i Q and the corresponding rms magnitude of the armature current i a.

c. Find the motor line-to-line terminalvoltage.