Answered: Electric magnetic Torque? theta_r is…

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter7: Alternating Current, Power Distribution, And Voltage Systems

Section: Chapter Questions

Problem 11RQ

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Electric magnetic Torque?

theta_r is rotor position

i is current

λ = (5 + 2 sin(8θr))i

Expert Solution

Step 1

given that

flux linkage given by

$λ = (5 + 2 \sin (8 θ_{r})) i θ_{r} = r o t o r p o s i t i o n i = c u r r e n t λ = M i w h e r e M = (5 + 2 \sin (8 θ_{r})) = m u t u a l i n d u c \tan c e s o \frac{d M}{d θ_{r}} = \frac{d (5 + 2 \sin (8 θ_{r}))}{d θ_{r}} = 2 \cos (8 θ_{r}) \times 8 \frac{d M}{d θ_{r}} = 16 \cos (8 θ_{r})$

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