“…The permanent-magnet synchronous motor (PMSM) has become a key technology in modern electromechanical systems, distinguished by its superior features compared to other AC motor counterparts, including its high efficiency, high power factor, and high torque density [1,2]. Although PM materials have a relatively high cost, the aforementioned advantages have led to the PMSM's widespread application in areas where cost sensitivity is not a primary concern, including electric and hybrid vehicles [3][4][5], wind energy conversion systems [6][7][8], energy storage systems [9][10][11], advanced robots [12][13][14], and high-precision machine tools [15][16][17]. Moreover, increasingly, more fields such as the high-speed electric multiple unit are exploring the use of PMSMs to replace the dominant AC motors in their respective domains [18][19][20].…”