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A mathematical model of the polyphase induction motor is developed, using nonproprietary data available from the manufacturer. Input impedance and output torque are expressed as tabular functions of speed, with voltage as a parameter. These functions are derived from current-dependent relationships, however, and include saturation effects. Examples illustrate use of the model in machine computation of simultaneous motor reacceleration after supply-system disturbances. An ancillary computation of rotor bar heating during starting is also illustrated.