Abstract: In view of the fact that during its operation the islanded microgrid was affected by the output of new energy and the uncertainty of load power, an economic dispatching algorithm for island microgrid was proposed based on the segmented quantization of margin of uncertainty and the penalty of curtailed wind and photovoltaic (abbr. PV) power. Firstly, in the day-ahead planning stage, utilizing the uncertain set based on the segmented quantization of margin of uncertainty and adopting the column constraint generation algorithm, the primal problem was divided into the main problem and the sub-problem to conduct the interactive iterative solution. Thereby, the most optimal economic scheduling scheme under the "worst case scenario" was obtained. Secondly, in the intra-day scheduling stage, the output of energy storage system obtained from the day-ahead planning was kept, and the output of traditional energy, the demand response load and the curtailed quantity of wind and PV power in the new energy were adjusted and optimized. Finally, both economy and robustness of the proposed algorithm under different scenarios are verified by example simulation.