lect27 - Lecture 27 - ECE743 3-Phase Induction Machines...

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Lecture 2 Lecture 2 7 7 - E - E C C E743 E743 Professor: Ali Keyhani Professor: Ali Keyhani 3-Phase Induction Machines Reference Frame Theory – Part II
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2 abc Reference Frame Fig. 1 A two-pole, 3-phase symmetrical induction machine.
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3 abc Reference Frame Fig. 1 A two-pole, 3-phase symmetrical induction machine.
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4 abc Reference Frame Winding arrangement for a 2-pole, 3-phase, wye- connected symmetrical induction machine is shown in Fig.1. Stator windings are identical, sinusoidally distributed windings, displaced by120 ° , with N s equivalent turns and resistance r s . Consider the case when rotor windings are also three identical sinusoidally distributed windings, displaced by120 ° , with N r equivalent turns and resistance r r .
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5 In abc reference frame, voltage equations can be written as s: denotes variables and parameters associated with the stator circuits. r: denotes variables and parameters associated with the rotor circuits. abc Reference Frame [ ] [ ] cr br ar T abcr cs bs as T abcs abcr abcr r abcr abcs abcs s abcs f f f f f f f f p i r V p i r V = = + = + = ) ( , ) ( λ
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6 L ls and L ms are, respectively, the leakage and magnetizing inductance of the stator windings. L lr and L mr are, respectively, the leakage and magnetizing inductance of the rotor windings. abc Reference Frame = abcr abcs r T sr sr s abcr abcs i i L L L L ) ( λ , 2 1 2 1 2 1 2 1 2 1 2 1
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lect27 - Lecture 27 - ECE743 3-Phase Induction Machines...

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