I. Introduction
Smart grids are now essential parts of the modern society. The integration of cyber and physical processes has many benefits [1], however, it also opens up possibilities of attacks and accidents from the cyber surface ([2] and references therein) and makes smart grids more vulnerable. What aggravates the vulnerability of smart grids is cascading failure, where the failure of a component (e.g. a transmission line) in power grids can cause successive failures and eventually lead to a large blackout [3]. Many blackouts in real life are related to cascading failures ([4] and references therein), including three major blackouts in 2003 [5]. Because of the importance of smart grids and catastrophic impact of cascading failures, protection against cascading failures has been studied in various settings [3], [6], [7], [8], [9], [10], [11], [12], [13].