Three-phase multilevel converters were proposed to feed high-power induction drives or highspeed drives for flywheels. This paper describes a new vector modulation method together with the vector control for a three-phase multilevel converter. The proposed modulation scheme can reduce the switching losses to a minimum by using an optimized switching scheme. Furthermore, an optimal current quality is received in comparison with the number of commutations. Experimental tests have been done on a 12kW prototype.