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Unformatted text preview: Lecture Lecture 30 30 E E C C E743 E743 3Phase Induction Machines Summary of Dynamic Equations Professor: Ali Keyhani Professor: Ali Keyhani 2 Dynamic Equations in abc Reference Frame Machine dynamic equations in abc can be written as Flux linkage equations are abcr abcr r abcr abcs abcs s abcs p i r V p i r V + = + = = abcr abcs r T sr sr s abcr abcs i i L L L L ) ( abcr r s abcr abcr r s abcr abcr s r abcr N N V N N V i N N i = = = , , 3 Dynamic Equations in abc Reference Frame [ ] , 2 1 2 1 2 1 2 1 2 1 2 1 + + + = ms ls ms ms ms ms ls ms ms ms ms ls s L L L L L L L L L L L L L [ ] + + + = mr lr mr mr mr mr lr mr mr mr mr lr r L L L L L L L L L L L L 2 1 2 1 2 1 2 1 2 1 2 1 L [ ]  + + + = r r r r r r r r r sr sr L cos ) 3 2 cos( ) 3 2 cos( ) 3 2 cos( cos ) 3 2 cos( ) 3 2 cos( ) 3 2 cos( cos L 4 Dynamic Equations in abc Reference Frame Fig. 1. A 2pole 3phase symmetrical induction machine. 5 Dynamic Equations in abc Reference Frame Fig. 1. A 2pole 3phase symmetrical induction machine. 6 Dynamic Equations in abc Reference Frame Fig.2 Axis of 2pole, 3phase symmetrical induction. 7 Dynamic Equations in Arbitrary Reference Frame Transformation equations are , ) ( abcs s qd0s f T f = , 2 1 2 1 2 1 ) 3 2 sin( ) 3 2 sin( sin ) 3 2 cos( ) 3 2 cos( cos ) ( + + = s T , 2 1 2 1 2 1 ) 3 2 sin( ) 3 2 sin( sin ) 3 2 cos( ) 3 2 cos( cos 3 2 ) ( + + = r T , ) ( abcr r qd0r f T f = [ ] ....
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 Spring '08
 Keyhani
 Flux

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