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exam 4 solution

# exam 4 solution - ECE321 Spring 2009 Exam 4 Solution...

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ECE321. Spring 2009. Exam 4 Solution Outline Problem 1 1a) False 1b) True 1c) False 1d) True 1e) True 1f) False 1g) False 1h) False 1i) False 1j) True Problem 2 Step 1 - 5 pts w as 25 sin 4 φ sm ( 29 = w bs 25 cos 4 φ sm ( 29 = Step 2 - 5 pts F w as i as w bs i bs + = F 125 sin 4 φ sm ( 29 sin 50 t ( ) cos 4 φ sm ( 29 cos 50 t ( ) + ( 29 = F 125 cos 4 φ sm 50 t - ( 29 = Speed of MMF relative to stator is 12.5 rad/s CCW Step 3 - 5 pts Speed of MMF relative to rotor is thus 12.5 rad/s CCW - - 100 rad/s CCW = 112.5 rad/s This is the mechanical speed relative to the rotor Step 4 - 5pts The frequency of the rotor currents will thus be 112.5 rad/s or 112.5 2 π 17.90493 = Hz

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Problem 3 Step 1 - 10 pts W c 1 2 i T L ss L sr cos θ r ( 29 L sr cos θ r ( 29 L rr i = where i i as i ar = Step 2 - 10 pts T e P 2 θ r W c d d = T e P
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exam 4 solution - ECE321 Spring 2009 Exam 4 Solution...

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