Integrated Demand Response (IDR) as a crucial method for maintaining supply-demand balance and realizing the local consumption of distributed energy in Regional Integrated Energy System (RIES), has become a hot research topic. However, existing studies on IDR have two main shortcomings: they fail to consider the coupling relationship between response power and carbon emission quota in complex scenarios during regional transactions; and when customizing incentive strategies for consumers within regions, they overlook the fatigue characteristics of consumers. Therefore, this paper establishes an inter-regional coupled transaction mechanism of response power-carbon emission quota under complex scenarios. The incorporation of a response fatigue function enables the proficient representation of consumer response fatigue characteristics. Additionally, this paper proposes an adaptive iterative step size-based bargaining method to determine the optimal transaction price. The effectiveness of the proposed model is verified by simulation results: it not only reduces the total costs and carbon emission of IESP but also improves consumer benefits. The proposed bargaining method enhances bargaining efficiency.

Integrated Demand Response is increasingly recognized as a crucial tool for maintaining balance between supply and demand in integrated energy systems, and for enhancing the absorption and utilization rate of renewable energy. A prerequisite for implementing IDR effectively is the accurate modeling of consumer characteristics. However, existing models have not accounted for the coupling characteristics of inter-energy comfort and inter-period incentives when consumers participate in IDR; they also overlook the Inter-consumer coupling characteristics. This paper presents an inter-energy comfort coupling matrix and a cross-elasticity coupling matrix for incentives, offering effective modeling of the coupling characteristics between different energies and periods. By introducing a dynamic participation rate, a mathematical model of inter-consumer coupling characteristics is established. Simulation results demonstrate that the model considering inter-energy coupling characteristics produces significant reductions in response power deviations and total costs of IESP, while also enhancing consumer motivation to participate in IDR. The model that incorporates inter-period coupling characteristics not only improves consumer benefits and comfort levels in participating in IDR but also further reduces response power deviations and total costs of IESPs. The model considering inter-consumer coupling characteristics effectively mitigates response power deviations resulting from consumers’ bounded rationality by calculating the mathematical expectation of each consumer’s response power.