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# lect15 - Lecture 15 EE743 Two-Phase Induction Machines Part...

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Lecture 15 - EE743 Lecture 15 - EE743 Professor: Ali Keyhani Professor: Ali Keyhani Two-Phase Induction Machines Part III

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2 The dynamic equations of the induction machines are difficult to solve because the mutual inductances between these circuits as as and bs bs vary as a sinusoidal function of the angular displacement between the stator and rotor circuits. This is true if we analyze the system in the as as - - bs bs reference of frame. Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines
3 In order to simplify the analysis of an induction machine, we will define a change of variables for both, the stator and rotor variables to a new reference of frame, as shown in the following figure. Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines

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4 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines ds-axis dr-axis as-axis qs-axis qr-axis ar-axis bs-axis br-axis x x x x V ar + - N r L l r r i ar L V N i r ϖ r θ r bs’ bs as as’ br br’ ar’ ar’ Stator windings Rotor windings
5 Two-Phase Two-Poles Induction Two-Phase Two-Poles Induction Machines Machines From the previous figure, we have the following: The rotor variables can be transformed to the stationary reference of frame (i.e., fixed in the stator).

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lect15 - Lecture 15 EE743 Two-Phase Induction Machines Part...

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