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lect19 - Lecture 19 EE743 Lecture 19 EE743 Professor Ali...

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Unformatted text preview: Lecture 19 - EE743 Lecture 19 - EE743 Professor: Ali Keyhani Professor: Ali Keyhani Two-Phase Induction Machines: Reference Frame Theory 2 ■ Schematic Representation Schematic Representation Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines - Machines - Arbitrary Reference Frame Arbitrary Reference Frame x θ r bs’ bs as as’ br br’ ar’ ar’ Stator windings Rotor windings x x x br-axis bs-axis ds-axis dr-axis as-axis ar-axis qr-axis qs-axis θ β ϖ r ϖ θ = Angle of the arbitrary reference frame from the as-axis θ r = Angle of ar-axis ( rotor ) from the as-axis β = θ r- θ = Angle of the arbitrary reference frame from the ar-axis ( rotor ) 3 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines - Machines - Arbitrary Reference Frame Arbitrary Reference Frame ■ The voltage and flux linkage equations are as follows, - = - = bs as ds qs r f f f f θ θ θ θ θ θ β cos sin sin cos...
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