Question

A $3 \phi$, four-pole, $60 \mathrm{~Hz}, 550 \mathrm{~V}, Y$-connected induction motor has the following parameters: $R_s=1.0 \Omega, X_s=3.0 \Omega, X_r^{\prime}=4.5 \Omega$, $R_r^{\prime}=0.9 \Omega$, and $X_m=35 \Omega$. When the motor is running at rated speed, the frequency of the rotor currents is measured to be $5 \mathrm{~Hz}$. (a) Find the rated speed. (b) Find the torque developed.

   A $3 \phi$, four-pole, $60 \mathrm{~Hz}, 550 \mathrm{~V}, Y$-connected induction motor has the following parameters: $R_s=1.0 \Omega, X_s=3.0 \Omega, X_r^{\prime}=4.5 \Omega$, $R_r^{\prime}=0.9 \Omega$, and $X_m=35 \Omega$. When the motor is running at rated speed, the frequency of the rotor currents is measured to be $5 \mathrm{~Hz}$. (a) Find the rated speed. (b) Find the torque developed.

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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 11

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Step 1

The synchronous speed (Ns) of a 3-phase induction motor 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 \( P = 4 \): \[ Show more…

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A $3 \phi$, four-pole, $60 \mathrm{~Hz}, 550 \mathrm{~V}, Y$-connected induction motor has the following parameters: $R_s=1.0 \Omega, X_s=3.0 \Omega, X_r^{\prime}=4.5 \Omega$, $R_r^{\prime}=0.9 \Omega$, and $X_m=35 \Omega$. When the motor is running at rated speed, the frequency of the rotor currents is measured to be $5 \mathrm{~Hz}$. (a) Find the rated speed. (b) Find the torque developed.

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