The stability control of a maglev yaw system (MYS) in wind turbines is investigated by replacing the conventional gear-driven yaw mechanism with magnetic levitation technology. The MYS comprises two subsystems: the Dynamic Suspension Subsystem (DSS) and the Yawing Suspension Subsystem (YSS), between which the system switches during operation. To prevent mechanical damage, it is essential to ensure the stability of both the individual subsystems and the overall switched system. Firstly, physical and mathematical models of DSS and YSS are developed, followed by the design of backstepping controllers to stabilize each subsystem. Then, a switching strategy based on the average dwell time method is proposed to guarantee the stability of the entire system. Finally, simulation results validate the effectiveness of the proposed control scheme in maintaining the stability of both subsystems and the overall MYS.