Abstract: The construction of a new type of power system with a high proportion of renewable energy is an important means to achieve the "dual carbon" goals. Depicting the economic operating range of the power grid by considering various uncertain factors is the critical technology to support renewable energy consumption with a high penetration rate. Therefore, the concept of economic operating region (EOR) considering the economic impact of power grid uncertainty factors is proposed, and the optimal scheduling plan set under a strong uncertainty environment is delineated. On this basis, taking the uncertainty of renewable energy output as an example, a mathematical model of convex hull-economic operating region (CH-EOR) suitable for engineering practice is formulated, and a solution algorithm based on bilevel iteration is proposed. Finally, the shape and the physical connotation of the CH-EOR are analyzed. The comparison with the box-constrained economic operating region (BC-EOR) based on robust optimization proves that the CH-EOR has better economic performance, and the effectiveness and applicability of the proposed bilevel iteration algorithm are verified.