Aiming at the consumption of renewable energy, researched controllable load mechanisms and energy storage regulation strategies in an electric-thermal coupled network, and a comprehensive flexible resource model was constructed to optimize the low-carbon operation of the system. Firstly, analyzed the industrial load regulation mechanism of differentiated layout in the regional power grid. Based on the electric-thermal coupled system in the urban energy grid, the regulation model of controllable load and electric/thermal energy storage was established. Then a comprehensive benefit model was constructed with an economic cost, wind and solar usage, and carbon emissions as indicators. Proposed a carbon emission flow topology to describe the carbon emission flow information attached to the energy flow. Finally, combined with the IEEE 33-node distribution network and 45-node heat network coupling system, the improvement effect of the multiple flexible resource response on the comprehensive benefits of the system was analyzed. And the carbon emission flow process of the electricity-thermal network in the typical scenario was visually displayed through topology. The results show that exploring flexible resources can improve the consumption margin of wind and solar energy in the integrated energy system, which verifies the rationality and effectiveness of the proposed method.