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hw4 - the distance between the coils and k is the order of...

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ECE 610 -HW#4, Due Sept 27, 2011 1. Chapter 1 - 20, 21, 22, 23, 24,26 2. Given a round rotor 2 pole machine shown below In machines literature various authors describe constants of proportionality which include the effects of distributing a winding versus having a concentrated winding. Constants are used to describe the winding pitch factor , the distribution factor , or both together described as the winding factor . The basic objective in the distribution factor analysis is to determine the effect of taking a con- centrated winding with turns, and distributing these turns over n several slots, creating n coils with turns that are series tied, as shown above, where n=3. a) Show that the of the distributed winding is related to the MMF of the concentrated winding by the factor (1) where (2) In (2) n is the number of distributed winding coils,
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Unformatted text preview: the distance between the coils and k is the order of the harmonic MMF that is being considered. coil x y z β k p k d k w N s N s n-----MMF MMF dist M conc k dk = k dk k n α 2------ sin n k α 2--- sin-----------------------= α b) The basic objective in the pitch factor analysis is to determine the effect of taking a concen-trated winding with turns, and having it not span a complete pole pitch, but rather short pitching it by degrees (see figure above). Show that the of the short pitch winding is related to the MMF of the full pitch wind-ing by the factor (3) where (4) and is the pitch angle and k is the order of the harmonic. N β MMF MMF shp MMF flp k pk = k pk kB 2------ cos = B...
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