A method and apparatus are provided for controlling a sensorless alternating current induction motor (ACIM) having a rotor and a stator comprising a plurality of stator windings by applying a plurality of phase shifted voltages to the plurality of stator windings in the ACIM such that two energized stator windings are connected to first and second phase shifted voltages to cause rotation of the rotor relative to the stator while a third unconnected stator winding is floating so that a DC bus current and an inducted voltage can be measured from the ACIM and used to compute an estimated rotor speed.