Abstract: According to the characteristics of economic dispatch problem for smart microgrid with uncertainties related to the forecasted errors for renewable energy sources (RESs)， a methodology based mixed 0-1 stochastic nonlinear programming was proposed. The roulette wheel mechanism (RWM) and Lattice Monte Carlo simulations (LMCS) were used to generate scenarios. By means of this strategy， the stochastic problem was converted to a number of deterministic problems with different probabilities. Meanwhile， branch and bound algorithm was employed to solve each of the deterministic problems. Consequently， the solutions obtained from the accepted scenarios were aggregated according to the probability to find the expected result of the investigated problem considering uncertainty. The validity of this optimization methodology was proved by the simulation results.

Key words: smart microgrid, economic operation, optimization under uncertainty, scenario generation, branch and bound algorithm