Two-stage low carbon dispatching model of distribution network considering electricity-carbon coupled price

Traditional distribution network dispatch models face a trade-off between economic efficiency and carbon reduction. To resolve this conflict, a two-stage low-carbon economic collaborative dispatch model that considers electricity-carbon coupled price is proposed for distribution networks. In the first stage, the model optimizes the electricity purchase cost and photovoltaic generators output using second-order cone relaxation and Distflow power flow theory. The carbon emission flow theory is used to calculate the node carbon intensity, which is then delivered to the second-stage model. In the second stage, considering the temporal characteristics of time-of-use electricity prices and the spatiotemporal characteristics of nodal carbon intensity, an integrated electricity-carbon cost function is formulated by coupling these two distinct parameters. This approach aligns economic signal with carbon accountability, steering the demand responsiveness toward a low-carbon pattern. Finally, numerical simulations demonstrate that the proposed two-stage model could reduce carbon emissions and enhance operational economic of the distribution network.