Abstract: With the large-scale integration of renewable energy into multi-level power grids, the traditional deterministic dispatch framework with separated operation among different grid levels faces challenges such as boundary power mismatches and insufficient reserve capacity. To address these issues, this paper proposes a coordinated robust intra-day rolling dispatch model for multi-level power grids based on renewable energy prediction intervals. By coordinating the operation of transmission, distribution, and microgrids, the proposed model exploits the flexibility potential of large-scale flexible resources on the distribution network and microgrid sides, thereby enhancing renewable energy accommodation. An affine adjustable policy is introduced to transform the original robust optimization model into an equivalent quadratic programming formulation, and a multi-parameter space projection decomposition algorithm is developed to efficiently solve the problem. While preserving the convexity of lower-level optimization problems, each grid level only needs to exchange boundary power information and optimal projection functions to achieve the global optimum. Simulation results on the T118-D33-M4 test system demonstrate that the proposed method improves computational efficiency by approximately 8 and 11 times compared with generalized Benders decomposition and the alternating direction method of multipliers, respectively, while effectively promoting renewable energy accommodation.