Fields, forces, and performance equations of air-core liner self-synchronous motor with rectangular current control

An analytical field approach to determine the permanent magnetic field distribution in a flat air-core self-synchronous linear motor with a permanent magnet mover is reported. Thrust and normal forces are calculated for idealized rectangular-current inverter control. Notable thrust and normal force time pulsations are shown through a numerical example. The performance equations with an on-off current controller are developed with the motor fed from a voltage source transistor inverter. The analysis represents a reliable tool for refined design and control of permanent magnet air-core linear self-synchronous motors