<p>This paper addresses high-frequency electromagnetic (EM) vibration and noise induced by carrier frequency sideband current harmonics in variable-frequency drive permanent magnet synchronous motors (PMSMs). An analytical model of full-frequency radial EM force density (REMFD) and a finite element coupling model of the control system and a 10-pole, 12-slot interior PMSM are developed to account for the effects of carrier frequency sideband current harmonics and rotor salient pole on the carrier frequency REMFD (CFREMFD). The spatiotemporal characteristics of CFREMFD are analyzed and traced to the air-gap flux density, including carrier frequency sideband armature field harmonics and low-frequency field harmonics. The sideband effect causes the dominant frequency of CFREMFD to symmetrically extend on either side of the switching frequency, while the dominant spatial orders remain at zero and lowest nonzero order, with the saliency effect further exacerbating the harmonics. Based on these findings, a novel approach is proposed that uses total harmonic distortion of the fundamental armature magnetic field as a proxy objective of CFREMFD based on the trade-off design. Then, a multi-objective optimization framework is introduced to balance the torque and noise performance, enhancing computational efficiency through response surface modeling and a multi-objective particle swarm optimization algorithm. Experimental results demonstrate that the optimized scheme effectively suppresses broadband high-frequency noise without altering control strategies, offering a new paradigm for low-noise design.</p>