## Resultant air-gap flux of induction machine, Electrical Engineering

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Q. Resultant air-gap flux of induction machine?

The resultant air-gap flux is produced by the combined mmfs of the stator and rotor currents. For the sake of conceptual and analytical convenience, the total flux is divided into a mutual flux (linking both the stator and the rotor) and leakage fluxes, represented by appropriate reactances.

Considering the conditions in the stator, the synchronously rotating air-gap wave generates balanced polyphase counter emfs in the phases of the stator. The volt-ampere equation for the phase under consideration in phasor notation is given by

where ¯ V1 is the stator terminal voltage, ¯ E1 is the counter emf generated by the resultant air-gap flux, ¯I1 is the stator current, R1 is the stator effective resistance, and Xl1 is the stator-leakage reactance.

As in a transformer, the stator (primary) current can be resolved into two components: a load component ¯I2 (which produces an mmf that exactly counteracts the mmf of the rotor current) and an excitation component ¯I0 (required to create the resultant air-gap flux). This excitation component itself can be resolved into a core-loss component ¯ Ic in phase with ¯E1

and a magnetizing component ¯Im lagging ¯E1 by 90°. A shunt branch formed by the core-loss conductance gc and magnetizing susceptance bm in parallel, connected across ¯E1, will account for the exciting current in the equivalent circuit, as shown in Figure, along with the positive directions in a motor.

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