A motor drive system according to an embodiment includes an inverter and a control device. The inverter causes a current to flow through a winding of an induction motor. The control device drives the induction motor by controlling the inverter through vector control. The control device includes a plurality of calculation criteria for a stator magnetic flux estimated value of the induction motor and includes an appropriate magnetic flux command generation unit that selects a calculation criterion for the stator magnetic flux estimated value that further increases a loss of the induction motor from among the plurality of calculation criteria on the basis of at least a rotation speed of the induction motor in the case of braking the induction motor.