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Because of the great stochastic of wind power, it is difficult to forecast it accurately and the forecasting result can not be applied to unit commitment directly. A dispersed probability distribution model is built based on statistics of wind power forecasting error, the cumulated outage capacity table of the units is combined with this model and fitted by Gaussian function. Unit commitment risk constraint from Gaussian function fitting is introduced in the Lagrangian relaxation to handle the unit commitment with wind power. Finally, the detailed analysis of a 26-units test system gives the impact on results of unit commitment.