Mitigating synchronous load rebound and demand response uncertainty in community integrated energy systems: A consumer psychology-aware differentiated pricing approach

To address the load rebound caused by uniform pricing and the oversimplification of physical constraints in community integrated energy systems, this paper proposes a risk-aware synergistic optimization framework. First, a bi-level differentiated pricing mechanism based on virtual resource pools is constructed. This approach manages user heterogeneity to mitigate synchronized peaks while balancing management costs. Second, a refined uncertainty demand response model is proposed. By integrating consumer psychology and local shifting constraints, the model corrects the idealized bias of arbitrary shifting, ensuring feasibility and comfort. Finally, a unified mathematical framework coordinates economic pricing and physical multi-energy dispatch, utilizing conditional value-at-risk to manage source-load uncertainties. Case studies demonstrate that the proposed strategy effectively suppresses the synchronized load rebound, reducing the net peak power by 9.4% and significantly narrowing the peak-to-valley difference, thereby enhancing system stability and operational economy.