Demand response (DR) is a crucial element in the optimization of integrated energy systems (IESs) that incorporate distributed generation (DG). However, its inherent uncertainty poses significant challenges to the economic viability of IESs. This research presents a novel economic dispatch model for IESs utilizing information gap decision theory (IGDT). The model integrates various components to improve IES performance and dispatch efficiency. With a focus on hydrogen energy, the model considers users' energy consumption patterns, thereby improving system flexibility. By applying IGDT, the model effectively addresses the uncertainty associated with DR and DG, surpassing the limitations of traditional methods. The findings indicate that in relation to the baseline method, the proposed model has the potential to reduce operating costs by 6.3% and carbon emissions by 4.2%. The integration of a stepwise carbon trading mechanism helps boost both economic and environmental advantages, achieving a 100% wind power consumption rate in the optimized plan. In addition, daily operating costs are reduced to 23,758.99 ¥, and carbon emissions are reduced to 34,192kg. These findings provide quantitative decision support for IES dispatch planners to help them develop effective dispatch strategies that are consistent with low-carbon economic initiatives.
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