Abstract: The existing residue supply capability (RSC) model of the distribution system studied the residual power supply capability of the whole network and the residual power supply capability of the all feeders when the distribution network contains existing loads, which is suitable for the quantitative guidance of new load access. This paper improves the existing RSC model and obtains a calculation method which can calculate the RSC of specified feeders (RSC^sf). Firstly, the distribution network RSC and its existing problems are briefly introduced. Secondly, the mathematical model and solution method of the RSC are introduced. Thirdly, an improved RSC model is proposed to solve the residual supply capability of the partial feeders or feeder sections and the solution method is also given. Finally, an example is given to illustrate the characteristics of the residue supply capability and the applicable scenarios. The proposed calculation method of residue supply capability of the specified feeders in the distribution network improves the existing theory of residue supply capability calculation and the power supply potential of partial feeders can be fully excavated. It has better practicability and economy, and is beneficial to the power supply potential of the distribution network and the utilization ratio of the assets.