分布式电源的广泛接入影响了系统潮流分布，可通过无功功率优化维持电压稳定，提高系统运行经济性。针对传统无功功率设备调控能力不足的问题通过引入自储能智能软开关（soft open point with energy storage，E-SOP）改善了配电网的无功功率电压优化性能。日前阶段构建了长时间尺度无功功率优化模型，确定了有载调压变压器、可投切电容器、储能装置的调度策略；日内阶段基于源荷短期预测结果建立滚动优化模型对日前优化结果进行了修正。提出的柔性配电网多时间尺度无功功率优化方法考虑了E-SOP损耗特性的建模精确性，实现了连续和离散无功功率资源的协调优化，降低运行成本的同时减小了电压偏差。基于凸松弛技术将上述无功功率优化模型转化为混合整数二阶锥规划问题，进而引入基于诱导目标函数（inducing objective function，IOF）的加速技术进一步提高了无功功率优化模型的计算效率。以改造后的IEEE 33节点系统为例进行分析，结果验证了所提方法的可行性和有效性。

The widespread integration of distributed power sources affects the power flow distribution of the system. Reactive power optimization can maintain voltage stability and improve operational economy. To address the insufficient regulation capability of traditional reactive power devices, the introduction of a soft open point with self-energy storage （E-SOP） enhances the reactive power-voltage optimization performance of distribution networks. In the day-ahead stage, a long-term reactive power optimization model is developed to determine the scheduling strategies for on-load tap-changing transformers, switchable capacitors, and energy storage devices. In the day-to-day stage, a rolling optimization model based on short-term source-load forecasts is established to refine the day-ahead optimization results. The proposed multi-time scale reactive power optimization method for flexible distribution networks considers the modeling accuracy of E-SOP loss characteristics, achieving coordinated optimization of continuous and discrete reactive power resources while reducing operational costs and voltage deviations. Based on convex relaxation techniques, the aforementioned reactive power optimization model is transformed into a mixed-integer second-order cone programming problem, and an accelerated technique based on an induced objective function （IOF） is further introduced to enhance the computational efficiency of the reactive power optimization model. The IEEE 33-node system after retrofitting is used as an example for analysis, and the results verify the feasibility and effectiveness of the proposed method.