In response to the issues of limited carbon reduction methods on the load side and poor coordination of carbon reduction methods across generation, load, and storage in current lowcarbon dispatching of power systems, a multidimensional carbon reduction coupling strategy based on carbon potential indicators is proposed. This involves the establishment of a duallayer optimization dispatch model for the power system, which includes lowcarbon economic objectives. Initially, a carbon flow tracing model for loads and energy storage is developed based on the theory of carbon emissions flow in power systems. Subsequently, a dual lowcarbon demand response model integrating carbon flow theory is established on the load side, and a lowcarbon dispatch model based on nodal carbon potential is developed for the energy storage side. Then, a duallayer optimization dispatch model for the power system characterized by time ofuse electricity pricing and nodal carbon potential is constructed, with the upper and lower layers aimed at optimal economic and lowcarbon objectives, respectively. Finally, the strategy is tested using a modified IEEE14node system, and the simulation results demonstrate that this dispatch strategy can effectively tap into the system's carbon reduction potential, enhance its carbon reduction capability, and improve its economic benefits.