Induction motor is expressed as a nonlinear system on a synchronously rotating reference frame. In applying linear control theory, we have usually derived a linear approximated model with a specific operating point. However, the model obtained by this method is not much accurate.
In this paper, we derive a linearized model for induction motor from a magnetic energy point of view. In this linearized model, the torque and the stored energies in the rotor field are choosen as state variables, and these magnetic energies are decoupled. This suggests that torque-producing component current and flux-producing conponent current become decoupled. Availability of a control system used the linearized model is illustrated by simulation and experiment results.
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