In variable speed applications based on brushless direct-current motor (BLDCM) drives, two types of popular control strategies are distinguished: direct current control (DCC) and direct torque control (DTC). The paper investigates a simulation evaluation of three control strategies for three-level three-phase inverter fed BLDCM drives, namely: (i) DCC, (ii) conventional strategy inspired from the earlier Takahashi DTC strategy implemented in induction motor drives DTC₁, and (iii) a proposed DTC₂ strategy leads to suppress the torque ripples penalizing the DTC₁ strategy. The control strategies efficiencies under consideration are analyzed and compared based on several simulation results. The comparative study has highlighted the superiority of the the proposed DTC₂ strategy which exhibits damped torque ripples.