<jupyter_start><jupyter_text>Excercises Electric Machinery Fundamentals Chapter 6  Problem 6-10<jupyter_code>%pylab inline<jupyter_output>Populating the interactive namespace from numpy and matplotlib<jupyter_text>Description A three-phase 60-Hz two-pole induction motor runs at a no-load speed of 3580 r/min and a full-load speed of 3440 r/min.   * Calculate the slip and the electrical frequency of the rotor at no-load and full-load conditions.  * What is the speed regulation of this motor?<jupyter_code>fe = 60     # [Hz]
p  = 2      
n_nl = 3580 # [r/min]
n_fl = 3440 # [r/min]<jupyter_output><empty_output><jupyter_text>SOLUTION The synchronous speed of this machine is:$$n_\text{sync} = \frac{120f_{se}}{p}$$<jupyter_code>n_sync = 120*fe / p
print('n_sync = {:.0f} r/min'.format(n_sync))<jupyter_output>n_sync = 3600 r/min<jupyter_text>The slip and electrical frequency at no-load conditions is:$$S_\text{nl} = \frac{n_\text{sync} - n_\text{nl}}{n_\text{sync}} \cdot 100\%$$<jupyter_code>s_nl = (n_sync - n_nl) / n_sync 
print('''
s_nl = {:.2f} %
============='''.format(s_nl*100))<jupyter_output>s_nl = 0.56 %
=============<jupyter_text>$$f_\text{r,nl} = sf_e$$<jupyter_code>f_rnl = s_nl * fe
print('''
f_rnl = {:.2f} Hz
==============='''.format(f_rnl))<jupyter_output>f_rnl = 0.33 Hz
===============<jupyter_text>The slip and electrical frequency at full load conditions is:$$ S_\text{fl} = \frac{n_\text{sync} - n_\text{fl}}{n_\text{sync}} \cdot 100\%$$<jupyter_code>s_fl = (n_sync - n_fl) / n_sync 
print('''
s_fl = {:.2f} %
============='''.format(s_fl*100))<jupyter_output>s_fl = 4.44 %
=============<jupyter_text>$$f_\text{r,fl} = sf_e$$<jupyter_code>f_rfl = s_fl * fe
print('''
f_rfl = {:.2f} Hz
==============='''.format(f_rfl))<jupyter_output>f_rfl = 2.67 Hz
===============<jupyter_text>The speed regulation is:$$SR = \frac{n_\text{nl} - n_\text{fl}}{n_\text{fl}} \cdot 100\%$$<jupyter_code>SR = (n_nl - n_fl) / n_fl
print('''
SR = {:.2f} %
==========='''.format(SR*100))<jupyter_output>SR = 4.07 %
===========
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