I. Introduction
Along with the rapid development of high capacity and extensive interconnection networks, dynamic behaviors of power systems are becoming more and more complex and unpredictable [1]. Improper handling of partial faults and natural disasters is likely to lead to cascading failures and even large-scale blackouts [2], [3], such as the North America blackout in 2003 and the India blackout in 2012. Long-time and large-scale blackouts not only lead to serious economic losses, but also threaten national security [4]. Rapid power system self-healing can effectively mitigate the negative impact on the public, the economy, and the power system itself [2]. In the early stage of power system restoration after blackouts, the main generators need to be started to guarantee the frequency and voltage regulation of systems and provide power for the subsequent load recovery [5], [6]. Therefore, generator start-up is the foundation of power system self-healing, of which the study is extremely important.