(Solved): If the motor is connected to a rated frequency and rated voltage source, and operating at the rated ...

If the motor is connected to a rated frequency and rated voltage source, and operating at the rated speed, write a Matlab script file to calculate: the stator current, rotor current, input power, stator power loss, rotor power loss, output mechanical power, developed torque \( \left(\mathrm{T}_{\mathrm{e}}\right) \), and the efficiency of the motor. Neglect the rotational losses. Plot the torque-speed curves of the induction machine using equation (2.32) of Bose's book: \[ T_{e}=3\left(\frac{P}{2}\right) \frac{R_{r}}{S \omega_{e}} \cdot \frac{V_{s}^{2}}{\left(R_{s}+R_{r} / S\right)^{2}+\omega_{e}^{2}\left(L_{k s}+L_{h r}\right)^{2}} \] 2.a) for rated voltage \( \mathrm{Vs} \), rated frequency \( \omega_{\mathrm{e}} \), the slip (S) changes from 1 to 0 , draw the torque-speed curve and mark the \( \mathrm{S}=(1.0,0.8,0.6,0.4,0.2,0 \), and breakdown slip \( \mathrm{Sm}) \) on the curve; 2.b) for rated frequency \( \omega_{\mathrm{e}} \), the input voltage is variable \( (0.25 \mathrm{Vs}, 0.5 \mathrm{Vs}, 0.75 \mathrm{Vs} \), and \( \mathrm{Vs}) \), the slip (S) changes from 1 to 0 , draw the torque-speed curves and mark the \( \mathrm{S}=(1.0,0.8 \), \( 0.6,0.4,0.2,0 \), and breakdown slip \( \mathrm{Sm} \) ) on the curves; 2.c) for rated voltage \( V_{s} \), the input frequency \( \omega_{c} \) is variable \( \left(0.4 \omega_{b}, 0.6 \omega_{b}, 0.8 \omega_{b}, 1.0 \omega_{b}\right. \). \( 1.2 \omega_{b} \) ), the slip (S) changes from 1 to 0 , draw the torque-speed curves and mark the \( \mathrm{S}= \) \( (1.0,0.8,0.6,0.4,0.2,0 \), and breakdown slip \( \mathrm{Sm}) \) on the curves. Use the SimScape model (including: induction machine, controllable voltage source, etc.) to replicate the step 2.a) to plot the torque-speed curve for the rated voltage and rated frequency. Compare the curves between step 3 and step 2.a).