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Recent times have seen the emergence of prosumers with undispatchable renewable onsite generators, which can complicate operational planning of grids. The complication can be exacerbated when prosumers have the leeway to export excess generation to the grid, which may necessitate the development of a new paradigm for the operational planning of prosumer grids. In this paper, a computationally tractable robust microgrid operational dispatch model that uses diesel generators, a battery, and interruptible loads to handle uncertainty in prosumer generation is proposed. Using the modified version of a microgrid in Guangdong Province, China, the CPLEX solver in the Advanced Interactive Multidimensional Modeling System environment is used to validate the effectiveness of the proposed model. The proposed robust model yields a higher objective function value than its deterministic counterpart; however, it guarantees system reliability under any realization of prosumer generation within specified bounds, which the deterministic model cannot guarantee. Further analysis shows that the optimal objective function value increases with the uncertainty level of prosumer generation. [ABSTRACT FROM AUTHOR]