I. Introduction
Recent severe power outages caused by natural disasters, such as floods and hurricanes, have highlighted the importance and urgency to improve grid resilience of the U.S. For example, Hurricane Sandy left approximately 7.5 million customers without power across 15 states and Washington, DC, after it hit the eastern shore of the U.S. [1]. A recent Congressional Research Service study estimates the inflation-adjusted cost of weather-related outages at 25 to 70 billion annually in the U.S. [2]. Grid resilience is increasingly critical since the number of outages caused by severe weather is expected to rise as climate change increases the frequency and intensity of hurricanes, blizzards, floods, and other extreme weather events [3]. As the utility grids remain quite vulnerable and exposed to natural disasters, rather than protecting the power grids from storms like Sandy, the power industry has focused on methods of restoring the distribution system quickly after disasters to achieve resilient power grids [1].