Vigorously developing new energy is an important cornerstone for achieving carbon peak and carbon neutrality, and is related to national economic development and energy security. In recent years, with the strong support of the country, my country’s new energy industry has developed rapidly, and its installed capacity has jumped to the first place in the world. However, the large-scale access of new energy has profoundly changed the dynamic characteristics of the power system, causing new problems such as broadband oscillations in new energy grid-connected systems, which seriously threaten the safe and stable operation of the system. This paper first introduces the characteristics of broadband oscillations in new energy grid-connected systems, and summarizes the key scientific issues that need to be solved in the three fundamental tasks of broadband monitoring, precise tracing and stable suppression. Then, starting from the classification of technologies and the limitations of technologies, the current research status of broadband oscillation monitoring, tracing and suppression of new energy grid-connected systems is sorted out and summarized. Finally, the future research and development direction of broadband oscillation problems in new energy grid-connected systems is prospected.