The accurate quantification of power supply capability (PSC) is crucial for the planning and operation of active distribution networks. To address the issue of PSC quantification, this paper presents a PSC evaluation method of active distribution networks while considering demand response (DR). Firstly, an incentive-based DR model is introduced, followed by the development of a PSC evaluation model that incorporates DR. This model completely describes the PSC of active distribution networks while considering N-1 security constraints. Secondly, a PSC evaluation algorithm based on uniform state-space sampling is presented, enabling the quantification of the complete PSC of active distribution networks with DR. Then, the influence of the load reduction coefficient in DR on the PSC is studied. It is found that the maximum PSC increases with the load reduction coefficient initially and then stabilizes. Furthermore, measures such as appropriately increasing the load reduction coefficient and expanding the bottleneck component capacity are proposed to enhance the PSC. Finally, the effectiveness of the proposed PSC evaluation method is verified by two active distribution networks, CASE1 and CASE2. The proposed method visualizes the complete PSC of active distribution networks considering DR as a curve and quantifies it as an interval value. For CASE1, the complete PSC is quantified within the range of [4.0, 8.4] MVA, and for CASE2, it is quantified within the range of [17.0, 33.0] MVA. The proposed measures effectively enhance the PSC, facilitating the efficient, safe, and low-carbon operation of smart distribution networks.
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