Abstract: As an important composition of the power grid operation business, the outage scheduling of the power grid has great impacts on the safety and stability of the power grid, as well as on the equipment maintenance. The existing methods lack the consideration of the conflicts between the planned outages with high computational complexity, which are unfitted for the actual scheduling process. To this end, a conflict-considered optimization model for optimal outage scheduling in the power grid is proposed with the consideration of the associations and priorities among the different planned outages and taking the minimization of the disequilibrium of maintenance quantities, the planned adjustment quantities, and the maintenance costs as the objectives. On this basis, a constraint-based adaptive second generation non-dominated sorting genetic algorithm (CA-NSGA Ⅱ) algorithm is put forward to solve the optimal model. The compatibility and the effectiveness of the algorithm proposed to the actual situations are verified by a monthly outage scheduling in the IEEE-300 node system.