Turboelectric propulsion systems are considered as a critical enabler to low-carbon emission in aircraft industry. Unlike hybrid-electric and all-electric systems, these systems do not use batteries for propulsive energy during any phase of flight. Since batteries with high power capacity and specific power required for commercial aircraft are unlikely to be developed within the 30-year time frame, turboelectric systems are the only feasible option at this point of time. Out of several motors available for driving the distributed propeller fans, brushless doubly-fed reluctance machines (BDFRM) are seen as one of the more attractive ones, primarily because of use of partially rated power converter, brushless operation and low rotor losses. However, BDFRM suffers from low torque and power density due to its inherent structure of poor coupling between the two stator windings. A third stator winding, known as tertiary winding, can be introduced in the same stator slots to achieve better coupling by utilizing more harmonics. This presentation describes the brushless doubly fed machine with this additional stator winding, termed as brushless triply fed reluctance machine (BTFRM) and shows the enhancement in torque density as compared to a BDFRM.