Question

A $3 \phi$, eight-pole, $60 \mathrm{~Hz}, 440 \mathrm{~V}, Y$-connected induction machine has the following parameters: $R_s=0.5 \Omega, X_s=1.0 \Omega, X_r^{\prime}=1.0 \Omega$, $R_r^{\prime}=0.4 \Omega$, and $X_m=\infty$. If the motor draws a line current of $29.09 \mathrm{~A}$, find the shaft speed.

   A $3 \phi$, eight-pole, $60 \mathrm{~Hz}, 440 \mathrm{~V}, Y$-connected induction machine has the following parameters: $R_s=0.5 \Omega, X_s=1.0 \Omega, X_r^{\prime}=1.0 \Omega$, $R_r^{\prime}=0.4 \Omega$, and $X_m=\infty$. If the motor draws a line current of $29.09 \mathrm{~A}$, find the shaft speed.

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Essentials of Electrical and Computer Engineering

Essentials of Electrical and Computer Engineering

David V. Kerns, Jr.,… 1st Edition

Chapter 16, Problem 14

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Step 1

The synchronous speed (Ns) can be calculated using the formula: \[ N_s = \frac{120 \times f}{P} \] where \( f \) is the frequency in Hz and \( P \) is the number of poles. Given \( f = 60 \, \text{Hz} \) and \( P = 8 \): \[ N_s = \frac{120 \times 60}{8} = 900 \, Show more…

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A $3 \phi$, eight-pole, $60 \mathrm{~Hz}, 440 \mathrm{~V}, Y$-connected induction machine has the following parameters: $R_s=0.5 \Omega, X_s=1.0 \Omega, X_r^{\prime}=1.0 \Omega$, $R_r^{\prime}=0.4 \Omega$, and $X_m=\infty$. If the motor draws a line current of $29.09 \mathrm{~A}$, find the shaft speed.

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