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# lect17 - Lecture 17 - EE743 Two-Phase Induction Machines...

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Lecture 17 - EE743 Lecture 17 - EE743 Professor: Ali Keyhani Professor: Ali Keyhani Two-Phase Induction Machines Part V

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2 The dynamic equations of a two-phase induction machine can be written by inspection directly from the schematic representation of the dq-axis dq-axis . A short circuit is assumed in the rotor, however, the scheme will represent the rotor with the voltage sources. Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines
3 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines ds-axis dr-axis qs-axis qr-axis ar-axis bs-axis br-axis x V ar N r l i bs’ bs as br’ ar’ Stator windings Rotor windings x x x + - + - V s ds V s dr L ls r s i s ds i s dr L lr r r L ms L ms L ms + ϖ r λ qr - ϖ r λ dr - + L ms L ms L ms L lr r r L ls r s

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4 The ds-qs ds-qs equations in a stationary reference frame, written by inspection are shown below. Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines ds qs s ds s s ds s s qs s s qs s P i r V P i r V λ + = + = 0 0 ' ' ' ' ' ' ' ' dr qr qr dr s s r dr s r s s r qr s r P i r P i r ϖ + + = + - =
5 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines ( 29 ' s qr s qs s qs ls s qs i i L i L ms + + = λ ( 29 ( 29 ( 29 s dr s ds s dr lr s dr s qr s qs s qr lr s qr s dr s ds s ds ls s ds i i L i L i i L i L i i L i L ms ms ms ' ' ' ' ' ' ' ' ' + + = + + = + + =

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6 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines Using matrices notation, we will obtain: X s dr s qr s ds s qs L rr ms rr ms ms ss ms ss X s dr s qr s ds s qs R r rr r ms r rr r r ms r s s U ds qs i i i i P L L L L L L L L i i
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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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lect17 - Lecture 17 - EE743 Two-Phase Induction Machines...

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