The support of complicated system theory and stability theory as well as self-healing technology are discussed for self-healing of large power grid. The research fields on self-healing of large power grid are put forward based on the analysis of existing achievements and status. The study of network configuration applying complicated system theory is focused as the strong grid frame is the self-healing basis. And the method of stability analysis based on trajectory by applying phase measurement unit（PMU） is brought forward as security prediction is the self-healing precondition. The self-healing policy and resuming search method are emphasized for the framework construction of self-healing system.