A 15 kW, 308 V (rms), star connected, three phase, 100 Hz, 2 pole pair induction machines with 36 stator slots is designed for 90% efficiency and operates at the slip of 0.032. The output stator diameter of the machine is 210 mm, airgap length is 0.5 mm, power factor is 0.7 (lagging) and slot fill factor is 0.5. By following the AC machine designing process shown in the lecture notes (lecture 9.1), calculate the (i) Torque of the machine, (ii) stator inner diameter, (iii) effective stack length of the machine, (iv) number of stator conductors per slot, (v) stator conductor size using AWG standards and (vi) stator slot area. Let's assume: B1 (tooth flux density)=1.6 T, Carter factor=1.5, ratio of mean lengths of slot width (bs) to tooth width (ts) is (1.125:1), split ratio is 0.6, aspect ratio is 1.2, ratio of permeances corresponding to the magnetizing inductance and the stator leakage inductance is 0.15 and winding factor is 0.95. Use Table 6.6 of Prof. Lipo's book to determine the required surface linear current density value. A 15 kW, 308 V (rms), star connected, three phase, 100 Hz, 2 pole pair induction machines with 36 stator slots is designed for 90% efficiency and operates at the slip of 0.032. The output stator diameter of the machine is 210 mm, airgap length is 0.5 mm, power factor is 0.7 (lagging) and slot fill factor is 0.5. By following the AC machine designing process shown in the lecture notes (lecture 9.1), calculate the (i) Torque of the machine, (ii) stator inner diameter, (iii) effective stack length of the machine, (iv) number of stator conductors per slot, (v) stator conductor size using AWG standards and (vi) stator slot area. Let's assume: B1 (tooth flux density)=1.6 T, Carter factor=1.5, ratio of mean lengths of slot width (bs) to tooth width (ts) is (1.125:1), split ratio is 0.6, aspect ratio is 1.2, ratio of permeances corresponding to the magnetizing inductance and the stator leakage inductance is 0.15 and winding factor is 0.95. Use Table 6.6 of Prof. Lipo's book to determine the required surface linear current density value