33 Distributed 3-phase windings

33 Distributed 3-phase windings - Lecture 28 Distributed 3...

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Lecture 28 Distributed 3 φ Windings We saw that if we distribute the winding sinusoidally around the air gap, we would obtain a sinusoidally distributed magnetic field. () cos 2 Ni H g θθ = An important remark is that the total number of turns of a winding can be obtained as follows, 00 sin 2 dN N dd N d ππ θ == ∫∫ Suppose now that we distribute 3 independent windings (i.e., each winding is electrically insulated form the others) and carrying currents i a , i b , and i c . Schematically, The currents i a , i b , and i c are balanced. Each phase winding is distributed sinusoidally around the air gap along the slots. This means that in a slot there are turns of the three windings.
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The conductors are all stacked, as previously said. This is depicted in the following figures. The turn density for windings b and c is () sin 120 2 sin 120 2 dN N d dN N d θ =− =+ respectively. This means that when = 210, θ−120 90 , there is the highest concentration of turns for winding b. And at −30, θ+120 , there is the highest concentration for winding c.
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33 Distributed 3-phase windings - Lecture 28 Distributed 3...

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