This paper addresses critical control challenges in high-speed maglev train traction systems employing long-stator linear synchronous motors (LLSM) fed by three-level Active Neutral Point Clamped (ANPC) inverters. Specifically, it investigates the vector control strategy for the LLSM and the midpoint potential balancing method for the inverter. A mathematical model of the LLSM is established. Based on rotor field orientation principles, the design and analysis of proportional-integral (PI) controller parameters for both the inner current loop and outer speed loop are conducted to achieve decoupled torque and flux control. To mitigate the inherent midpoint potential imbalance issue in the three-level ANPC inverter, a space vector pulse width modulation (SVPWM) strategy incorporating zero-sequence voltage injection is proposed. This method dynamically adjusts voltage vectors to regulate the neutral point voltage. Finally, comprehensive simulation experiments validate the combined control strategy. The results demonstrate its effectiveness in ensuring smooth maglev train operation, maintaining high control accuracy for the traction drive, and significantly improving the electrical stability of the inverter by effectively balancing the dc-link capacitor voltages.