Question

Solution of consider a stator coil of n turns, with the sides of the coil separated 180◦ apart. the length of the coil side is l. the coil links a flux density waveform which varies as b(φ) = bm cos φ, where φ is the angle around the circumference of the stator. with respect to this waveform, the coil sides may be taken to be at angles φ = 0◦ and φ = 180◦ . (a) if this flux density waveform now rotates in the air gap due to the rotation of the rotor, find the expression for b when the rotor is at some angle θ = ωt. (b) derive an expression for the flux linkage of the stator coil at any angle θ. (hint: find the flux passing through an elemental area at an angle φ, and integrate to find the total flux passing through the area spanned by the coil).

Answer 1

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