Abstract: Permanent magnet synchronous machine(PMSM) has high application value in new energy vehicles, precision manufacturing, aerospace, and other fields because of its high efficiency and high power density. The issue of vibration noise will affect the motor in terms of dynamic balance, performance fluctuations, and even noise pollution. Therefore, suppression of motor vibration noise is one of the key challenges to further improving the PMSM performance. The harmonic injection method has become a research hotspot due to its advantages of non-invasiveness, adaptability, and insensitivity. Starting with the compensation method for suppressing the electromagnetic noise of PMSM, the research work and progress of domestic and foreign scholars on the harmonic injection method are summarized. The optimization technology of the harmonic injection method is summarized as the control strategy under the four compensation sources, which are current, torque, speed, and electromagnetic force respectively. The control strategy under different compensation sources is analyzed in detail. The shortcomings of existing strategies based on the research are summarized, and new research ideas are proposed, which promotes the development and new trend of harmonic injection methods and provides a theoretical basis for suppressing electromagnetic noise.