A method of operating a power grid includes: generating, by a power management system of the power grid, an intermediate resource allocation schedule that provides a tentative schedule of resource allocation for power grid resources operating within the power grid; determining, by the power management system, whether the intermediate resource allocation schedule is feasible by checking whether the intermediate resource allocation schedule satisfies coupling constraints of a power grid resource allocation profile of the power grid indicative of an operation of the power grid constrained by power grid operational information; and in response to determining that the intermediate resource allocation schedule is infeasible, repairing, by the power management system, the intermediate resource allocation schedule to generate a feasible resource allocation schedule, where the repairing comprises determining whether a first dispatch solution obtained by solving a dispatch problem with fixed integer decisions from the intermediate resource allocation schedule is feasible.