Exterior-rotor permanent magnet direct-drive motors (ERPMDDMs), which have a simple structure and high energy efficiency, can achieve high torque output at low speed. Because of the superior performance, ERPMDDMs have been widely used in low-speed and high-torque (LSHT) mechanical equipment. The stability of the LSHT drive of ERPMDDMs directly affects the reliability of the equipment, which is thoroughly studied in this work by taking 250 kW ERPMDDMs as an example. The influence of different pole-to-slot ratios and pole-arc coefficients on the cogging torque is analyzed by the electromagnetic field calculation and analysis software Ansoft, and several parameters are optimized to reduce the torque ripple in energized motors and ensure the stability and reliability of the equipment.