As the size of the grid has gradually increased, there is a decentralization among power systems. Traditional carbon flow tracking models based on the principle of proportional sharing, combined with power system networks, are able to analyse the carbon emissions and the direction of carbon flows at individual nodes. With a multi-node power system network, the data cannot be collected accurately, and the method is calculated over a long period of time, making it hard to address the demands of online analysis. To address the above situation, a rapid assessment of carbon emission factors was presented for power grid for power system nodes based on distributed approach. Unlike solving a system of equations, the carbon emissions of each node in this method are calculated sequentially according to the carbon flow direction of the node. In addition, each node only collects information from nodes connected to itself. In this way the computational efficiency is both improved and the stability of the computation is ensured. Simulation results validate the effectiveness of the method. The experiments also show the computational advantages and evaluation accuracy of the method, which can be used for the carbon flow tracking analysis of power system nodes.