The generalized load refers to the sum of all electrical equipment within the power supply scope of a substation, including traditional loads, new type loads, distributed power sources, distributed energy storage, etc. Its flexible components can be divided into three categories, pure load type, pure power source type, and energy storage type. The generalized load is gradually becoming a research hotspot at home and abroad. Power modeling of it is an essential part of the research on the new power system. In view of the problem that most current reviews are oriented towards the electrical models of loads, the research status of the power models of typical flexible components of the generalized load is reviewed and prospected in this paper. Firstly, the modeling methods of the flexible components of the generalized load are summarized, and the similarities and differences among white box, black box, and grey box models are elaborated from the modeling principles. Then, in the order of pure load type, pure power source type, and energy storage type, the power models of the most typical, widely used and numerous flexible components in each category are classified and reviewed as white box, black box, and grey box models, and then the differences among various models are comprehensively compared. Finally, the future research directions of the modeling of the flexible components of the generalized load in the new power system are prospected.