Abstract: Power electronic systems are typical hybrid systems composed of continuous states and discrete events, and exhibit noticeable multi-time-scale nature. The numerical modeling and solving approaches at the moment originate from the "time-discretization" and "time-driven" approach for pure-continuous systems, and show low accuracy, long consuming-time and poor convergence. This paper introduces introduced a discrete-state event-driven approach which is capable of accurately simulating the multi-time-scale behavior from nanosecond-level to second-level, with a speed accelerated by several orders of magnitude and nowithout convergence concern. Taking the high-frequency converter, large-scale converter and converter with physical switch model as three cases, this paper compared the performance of the proposed approach with several international general simulation software, and demonstrated how the discrete-state event-driven approach establishes established the theoretical foundation and offers offered an implementation tool for numerical-experiment-based study of power electronics.