The existing battery energy storage model considers that the charging and discharging power and efficiency of the battery are fixed. On the other hand, the impact of the charging and discharging process on the cycle aging is not considered. This is contrary to the nonlinear equivalent circuit model of the battery cell body. Therefore, considering the cycle aging cost of the battery energy storage and demand response, this paper proposes a dynamic reconfiguration method of the AC/DC hybrid distribution network. By sampling the operational area of the actual battery energy storage charging and discharging power, a non-ideal battery energy storage model is reconstructed into a linear model in the convex envelope sampling point set. From this a cycle aging cost model based on the cumulative throughput and discharge depth is established, and the dynamic reconfiguration model of the AC/DC hybrid distribution network with minimum comprehensive cost is constructed. The mixed integer second-order cone programming method is used to solve the problem. The economics of the cycle aging cost model based on the depth of discharge proposed in this paper is verified by simulation on a modified 33-bus example, and the factors affecting the economics of the AC/DC hybrid distribution network reconfiguration method are analyzed.