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Unformatted text preview: 1 LECTURE 5 This lecture moves from reluctance machines to induction machines. The formulae of the coupling between winding-x and winding-y which have been developed in chapter 3 will be applied. The resultant equations are simpler because induction machines are round rotor machines with a uniform air-gap. For example, the inductance matrix of the 3-phase reluctance machine is: + + + + + + + + + = ) 240 ( 2 cos ) ( 2 cos 5 . ) 240 ( 2 cos 5 . ) ( 2 cos 5 . ) 120 ( 2 cos ) 120 ( 2 cos 5 . ) 240 ( 2 cos 5 . ) 120 ( 2 cos 5 . ) ( 2 cos )] ( [ d B A d B A d B A d B A d B A d B A d B A d B A d B A d L L L L L L L L L L L L L L L L L L L (1) When the saliency is removed by setting b/a=0, ) / ( 5 . . 2 1 3 = = a b B LR L B . One reverts to the simpler equation of the round rotor: = A A A A A A A A A S L L L L L L L L L L 5 . 5 . 5 . 5 . 5 . 5 . ] [ (2) where a B LR L A / 2 1 3 = Engineers, who work with induction machines, have their set of symbols. The notes will follow them so much as possible. For the present, only two changes are made: Up to now, the average air-gap is given the symbol a. It will be changed to g. Secondly, a B LR L A / 2 1 3 = is changed to g B LR M / 2 1 3 = . Therefore, = M M M M M M M M M L S 5 . 5 ....
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This note was uploaded on 02/23/2010 for the course ECSE 462 taught by Professor Bon-tekooi during the Spring '09 term at McGill.
- Spring '09