Abstract: With the acceleration of energy transformation in power systems, the penetration rate of renewable energy has significantly increased. With the interconnection of multi-region systems becoming closer, the coupling degree of multi-energy systems is constantly increasing, and the reform of the electricity market is gradually deepening, which makes the analysis of power and energy balance (P&EB) in new-type power systems (NTPSs) more complex. Therefore, it is necessary to summarize the existing progress and the typical applications of analysis technologies of P&EB and to combine the main characteristics of NTPSs to prospect the analysis technologies of P&EB, which will help to address the P&EB problems of NTPSs under high-dimensional uncertainties in the future. The focus of this paper is on the P&EB problems. Firstly, we introduce several commonly adopted analysis methods. On this basis, the analysis technologies of P&EB with multiple time scales and the corresponding acceleration technologies for solving the problems are summarized. Next, we sum up the typical application scenarios of NTPSs. Finally, we prospect the future development directions of the analysis of P&EB for NTPSs.