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Induction motors modelling in ABC frame of reference
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Induction motors modelling in ABC frame of reference : ウィキペディア英語版
Induction motors modelling in ABC frame of reference

The modelling of induction motors in the ABC frame of reference can provide useful insight into the time-domain current-voltage-power relationships in the motor. Many induction motors operate from three-phase power; analyzing the time-dependent current/voltage relationships in each phase (labeled A, B, and C) of the three-phase circuit can provide insights into the transient and steady-state characteristics of the motor.
==Introduction==
In an induction motor the electromagnetic energy is transferred by inductive coupling of the stator winding to rotor winding, which are separated by a small air gap.
In the mathematical model of an induction motor, the main variables of concern are Phase currents for the stator and rotor, output torque and speed with respect to time. Three phase supply voltages are the applied variables, which are generally sinusoids with a phase displacement of radians for each phase, if the motor is directly supplied from electricity grid. In case of an inverter-supplied motor, the voltages may be other functions of time. Additionally, motor parameters such as stator and rotor winding resistances, and self- and mutual-inductance values are required to complete the model.

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