Help on part $2$

$(10$ pts$)$ Steady$-$State Analysis. Suppose a balanced, two$-$phase, $110$ V $($rms$),60$ Hz

voltage source is applied to the induction machine.

$($a$)(5$pts$)$ Suppose the rotor is blocked. Compute the steady$-$state currents widetilde$($I$)\_($as$),$widetilde$($I$)\_($ar$)^(\text{'}),$

the input power, and the electromagnetic torque.

$($b$)(5$ pts$)$ Suppose the rotor is not loaded $($i$.$e$.,$ the load torque is zero$).$ Compute the

steady$-$state currents widetilde$($I$)\_($as$),$widetilde$($I$)\_($ar$)^(\text{'}),$ the input power, and the electromagnetic torque.

$2.(30$ pts$)$ Transient Analysis.

$($a$)(25$ pts$)$ Perform a time$-$domain simulation of the induction machine to exactly reproduce the plots shown in Fig. $6\mathrm{.}9-1$ of the text. You must use a numerical differential equation solver $($e$.$g$.,$ ode$45$ in MATLAB$).$ Use a simulation time step of no greater than $\backslash (10\backslash$mu $\backslash$mathrm$\{$~s$\}\backslash ).$

$($b$)(5$ pts$)$ Compare your steady$-$state numerical solution in part $2($a$)$ to the rms stator current, rms rotor current, input power and electromagnetic torque you determined in part $1($b$).$