As the demand for Two-Degree of Freedom (2-DoF) electrical machines continues to grow, the need for advanced sensors capable of detecting positions in multiple directions becomes increasingly critical. Compared to employing two separate sensors, using a single 2-DoF sensor offers significant advantages by reducing weight, volume, and complexity in control systems. This paper investigates a 2-DoF position sensor designed for helical motion detection. Given the significant impact of winding arrangements on resolver performance, determining the optimal winding configuration for helical motion is essential. To address the computational challenges associated with 3D Finite Element Analysis (3D-FEA), a numerical model based on the Winding Function (WF) method is developed to facilitate the optimization process. Subsequently, the Particle Swarm Optimization (PSO) algorithm is applied to refine the winding arrangement further and achieve greater accuracy. The results demonstrate that the resolver equipped with the optimized winding configuration significantly outperforms the one with the initial winding arrangement in terms of accuracy.