为促进综合能源系统中用户侧灵活性资源的高效调动，构建了一种融合经济补偿与碳补偿的双重激励机制，并结合需求响应优化模型展开研究。首先，基于用户对电、热、气等多类能源的响应特性，将柔性负荷划分为3类灵活性负荷进行调度，并引入经济补偿与碳补偿的联合激励策略。其次，建立了综合能源运营商和负荷聚合商之间的双层博弈模型，结合多维需求响应约束和Stackelberg博弈，求解最优利益分配。另外，为了提高算法的寻优能力，提出了自适应多变异差分进化算法。最后，不同场景的仿真表明该模型显著降低了系统的运行成本和碳排放量，同时也证明了所提算法具有更好的寻优能力。

To promote the efficient mobilization of flexibility resources on the user side in integrated energy systems, a dual incentive mechanism integrating economic compensation and carbon offset is constructed, and the research is conducted in combination with a demand response optimization model. Firstly, based on users′ response characteristics to multiple energy sources such as electricity, heat, and gas, flexible loads are categorized into three types of flexibility loads for scheduling, and a joint incentive strategy incorporating economic and carbon compensation is introduced. Secondly, a bi-level game model between integrated energy operators and load aggregators is established, combining multi-dimensional demand response constraints and Stackelberg game theory to solve for optimal benefit allocation. Additionally, to enhance the optimization capability of the algorithm, an adaptive multi-mutation differential evolution algorithm is proposed. Finally, simulations under different scenarios demonstrate that the model significantly reduces system operational costs and carbon emissions while also prove that the proposed algorithm exhibits superior optimization capability.