Lect28 - Lecture 2 Lecture 2 8 8 E E C C E743 E743 Professor Ali Keyhani Professor Ali Keyhani 3-Phase Induction Machines Reference Frame Theory

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Unformatted text preview: Lecture 2 Lecture 2 8 8- E- E C C E743 E743 Professor: Ali Keyhani Professor: Ali Keyhani 3-Phase Induction Machines Reference Frame Theory – Part III 2 Voltage Equations in Arbitrary Reference Frame Variables For two-pole, 3-phase symmetrical induction, abcr abcr r abcr abcs abcs s abcs p i r V p i r V λ λ ′ + ′ ′ = ′ + = ( 29 ( 29 ( 29 ( 29 abcr r abcs T sr abcr abcr sr abcs s abcs i L i L i L i L ′ ′ + ′ = ′ ′ ′ + = λ λ s qd r abcr r qd r abcr s qd s abcs s qd s abcs i i V V i i V V , , ′ = ′ ′ = ′ = = K K K K 3 Voltage Equations in Arbitrary Reference Frame Variables Fig.1 Axis of 2-pole, 3-phase symmetrical induction. 4 Voltage Equations in Arbitrary Reference Frame Variables Using the above transformation equations, we can transform the voltage equations to an arbitrary reference frame rotating at speed of ϖ . Flux linkage equations in abc reference frame can be transformed to qd axes using K s and K r transformation matrices. r qd qdr r r qd r r qd s qd qds s qd s s qd p i r V p i r V ) ( λ λ ϖ ϖ λ ϖ λ ′ + ′- + ′ = ′ + + = [ ] [ ] ) ( , ) ( , qr dr T qdr qs ds T qds where λ λ λ λ λ λ ′- ′ = ′- = 5 Voltage Equations in Arbitrary Reference Frame Variables...
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This note was uploaded on 07/17/2008 for the course ECE 743 taught by Professor Keyhani during the Spring '08 term at Ohio State.

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Lect28 - Lecture 2 Lecture 2 8 8 E E C C E743 E743 Professor Ali Keyhani Professor Ali Keyhani 3-Phase Induction Machines Reference Frame Theory

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