This paper investigates a moving-coil permanent magnet planar motor (MCPMPM) with Halbach-array stator configuration, which exhibits high efficiency, fast dynamic response, direct-drive capability, and precise positioning performance, making it particularly suitable for high-precision positioning applications. Analytical models for the magnetic field distribution of Halbach permanent magnet array and electromagnetic thrust characteristics of moving coils are established. Through finite element analysis (FEA), the performance of single-layer and double-layer winding structures is comparatively studied. Results indicate that conventional single-layer winding configurations exhibit significant thrust fluctuations. Optimization analysis reveals that an air gap height of 1.7 mm achieves minimum thrust ripple, providing critical parameters for optimal design. The influence of turns ratio (k) between upper and lower windings in double-layer configurations is systematically investigated. A turns ratio of k = 1.2 is identified as the optimal configuration for achieving the most stable output characteristics. This study proposes effective winding configuration optimization strategies for enhancing the operational performance of MCPMPM.