Abstract: Under the dual-carbon background, as the focus of new energy consumption,microgrid is deeply affected by the uncertainty of source load. In order to solve this problem and reduce the carbon emissions generated during system operation,this paper proposes a two-stage robust optimization scheduling method for microgrid consideringthe stepped carbon trading mechanism,which improves the system's ability to cope with the fluctuations of new energy output, and ensures the economic operation of the system based on the reduction of carbon emissions. Firstly, the microgrid micro-source mathematical model and the laddered carbon trading mechanism are constructed,and the two-stage robust optimization model is established. The KKT condition is used to reduce the subproblem to a mixed-integer programming problem,and the nonlinear constraints are linearized by the large M method, and interative solution is performed using coloum-and-constraint generation. Finally,the validity of the proposed optimal scheduling model is verified by the arithmetic example,and the effects of the stepped carbon trading mechanism on the economic cost of the system and the carbon emissions are analyzed.

Key words: microgrid, optimized scheduling, uncertainty, robust optimization, stepped carbon trading mechanism, low carbon