This paper presents the results of the electromagnetic analysis for the optimal and stable operation design of a 15 MW super-large offshore wind power transformer. Unlike previous studies focused on lower capacity models (e.g., 5-10 MW), this research addresses the unique challenges of the 15MW class, such as higher current/voltage levels and the stringent requirement for a compact, high-durability design for nacelle installation in harsh offshore environments. Using Ansys Maxwell, we conducted Steady-state and Transient analyses on a SolidWorks-modeled transformer. We analyzed the sensitivity of leakage inductance by varying the core-winding gap (47-63 mm), determining that the 61 mm gap yields a significantly improved coupling coefficient. Furthermore, by optimizing the winding specifications (1st turn: 10, 2nd turn: 1668), the total loss was minimized to 79.346 kW, achieving 99.18 % of the design loss target. The derived key design factors, including electric field distribution and electromagnetic force, establish essential optimization parameters for developing a reliable, lightweight, and compact prototype, contributing directly to domestic independence in the super-large wind power component market.