Under the dual carbon background

it is particularly important to seek sustainable energy production and consumption. In order to further improve the economy and low carbon of the integrated energy system

the paper constructs the structure of the integrated energy system (IES)

improves and adds carbon capture devices and electric-to-gas devices in the system

and considers the optimization mechanism with stepped carbon trading to further control carbon emissions. The master-slave pricing model of energy operators and load aggregators under the system is established. The operator is taken as the leader to optimize the electricity price and output planning strategy

and solve the multiple uncertainties of electricity price and scenery through robust optimization and opportunity constraints. The load aggregator is regarded as the follower to optimize the energy utilization strategy to maximize its benefits. The improved differential evolution method of double variation is used in combination with YEMIP and CPLEX tools for simulation in MATLAB

and the results verify that the model can not only better balance the interests of comprehensive energy operators and load aggregators

but also effectively reduce carbon emissions and improve the ability of the system to deal with uncertain risks.