For the uncertainty and volatility of the wind power, the bad scenario set and robust optimization method are introduced to solve the unit commitment optimization problem with wind power. Based on the analysis of the scenario set and robust optimization application in the uncertainty dispatch of power system, the conservative indicator to evaluate the deterioration degree of the bad scenario set is established, and the variance is added in the optimization target to suppress the individual bad scenario which leads to the deterioration of the overall optimization results. Then, combined with the inherent characteristic of the storage system to restrain the wind power fluctuation, the robust unit commitment model and algorithm are established based on the bad scenario set. Finally, numerical example which includes cost, storage capacity and robustness metric analysis verifies the effectiveness and practicality of the model.