Transient stability analysis is a key problem in power system operation and planning. This paper aims at giving a comprehensive review on the modeling ideas and analysis methods for transient stability of large-scale power systems. For model construction

the general modeling of traditional power systems and special modeling for renewable generations and high-voltage direct-current transmissions are introduced. For transient stability analysis

Lyapunov based methods and non-Lyapunov based methods are thoroughly reviewed. In Lyapunov based methods

we focus on the energy function method

the sum-of-squares based method and decentralized stability analysis methods. Meanwhile

in non-Lyapunov based methods

the time-domain simulation

extended equal-area criterion and data-driven based methods are considered. The basic working principles

features and recent research progresses of all the above-mentioned methods are described in detail. In particular

their performances on several aspects

such as computational speed

conservativeness of stability region estimation or stability margin calculation

and adaptability to various types of system models

are mentioned. Finally

a brief discussion of potential directions for future research on transient stability analysis of large-scale power systems is included.