Question

Problem #2 : Polyphase Motor Suppose that 3 different coils are placed at position ?(1) = 0 degrees, ?(2) = 120 degrees, and ?(3) = 240 degrees as shown in the figure above. Let us assume that the magnetic field produced by the three coils at the center of this arrangement is given by : B1 = Bo sin(?1t+?1) B2 = Bo sin(?2t+?2) B3 = Bo sin(?3t+?3) A) Determine the value of ?1, ?2, ?3, ?1, ?2 and ?3 so that this arrangement produces a counter-clockwise rotating magnetic field with constant angular velocity ?o ! B) Determine also the value of ?1, ?2 and ?3 so that this arrangement produces a clockwise rotating magnetic field! Now let us consider a general case where the coils' position are at ?1, ?2 and ?3.

          Problem #2 : Polyphase Motor

Suppose that 3 different coils are placed at position ?(1) = 0 degrees, ?(2) = 120 degrees,
and ?(3) = 240 degrees as shown in the figure above. Let us assume that the magnetic field
produced by the three coils at the center of this arrangement is given by :

B1 = Bo sin(?1t+?1) B2 = Bo sin(?2t+?2) B3 = Bo sin(?3t+?3)

A) Determine the value of ?1, ?2, ?3, ?1, ?2 and ?3 so that this arrangement produces a
counter-clockwise rotating magnetic field with constant angular velocity ?o !
B) Determine also the value of ?1, ?2 and ?3 so that this arrangement produces a clockwise
rotating magnetic field! Now let us consider a general case where the coils' position are at ?1,
?2 and ?3.

Problem #2 : Polyphase Motor

Suppose that 3 different coils are placed at position ?(1) = 0 degrees, ?(2) = 120 degrees,
and ?(3) = 240 degrees as shown in the figure above. Let us assume that the magnetic field
produced by the three coils at the center of this arrangement is given by :

B1 = Bo sin(?1t+?1) B2 = Bo sin(?2t+?2) B3 = Bo sin(?3t+?3)

A) Determine the value of ?1, ?2, ?3, ?1, ?2 and ?3 so that this arrangement produces a
counter-clockwise rotating magnetic field with constant angular velocity ?o !
B) Determine also the value of ?1, ?2 and ?3 so that this arrangement produces a clockwise
rotating magnetic field! Now let us consider a general case where the coils' position are at ?1,
?2 and ?3.

Added by Martha B.

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