Abstract: In order to facilitate the low-carbon reform of the power system, the carbon emission responsibility of the power system, on the basis of measuring the direct carbon emissions on the power generation side, should extend from the power generation side to the load side and the line side to obtain the shared responsibility for carbon emissions in the entire power system. In this paper, an analytical algorithm for carbon flow tracking using nodal admittance matrix operation is proposed. Combined with the conversion relationship between power flow and carbon flow, the analytical expression of the distribution relationship of carbon emissions among power supply, load and line network loss is obtained through matrix operation. The correctness of the carbon flow tracking model is verified by the IEEE 30-node system calculation example and the comparative analysis with other algorithms. In addition, this paper compares the carbon emissions of nodes and lines under the metering methods on the power generation side, the load side and the line side, as well as the distribution changes of carbon emissions in the whole system after the introduction of renewable energy and carbon capture and storage technology, and analyzes the factors that affect the carbon emission reduction ratio to provide data support for subsequent carbon emission responsibility allocation and low-carbon transformation of the power system.