柔性互联配电网（flexible interconnected distribution network，FIDN）中储能型智能软开关（soft open points with energy storage，E-SOP）的应用给可靠性评估带来了新挑战，"双碳"背景下亟需实现电-碳协同评估。针对E-SOP故障特性复杂、风光不确定性难以处理、传统评估方法缺乏碳排放考量等问题，提出了一种基于Kantorovich距离场景约简与MILP的FIDN电-碳协同可靠性评估方法。首先，针对E-SOP的基本结构和数学模型进行了阐述。其次构建风光不确定性模型，并引入Copula函数模型和基于Kantorovich距离的场景约简方法进行处理。然后构建电-碳协同目标函数，建立含碳排放约束的MILP可靠性评估模型。最后在BUS6 F4馈线系统中进行实验分析，结果表明所提方法实现了可靠性与碳排放的协同优化，SAIFI降低76.2 %，碳排放节约因子达6.81 %，为柔性互联配电网的低碳可靠运行提供了有效方法。

The application of soft open points with energy storage (E-SOP) in flexible interconnected distribution networks (FIDN) poses new challenges for reliability assessment, and the "dual-carbon" goals urgently require electricity-carbon synergistic evaluation. Addressing the complex fault characteristics of E-SOP, difficulties in handling wind-solar uncertainties, and the lack of carbon emission considerations in traditional assessment methods, an electricity-carbon synergistic reliability assessment method for FIDN is proposed based on Kantorovich distance scenario reduction and mixed integer linear programming (MILP). Firstly, the basic structure and mathematical model of E-SOP are elaborated. Secondly, wind-solar uncertainty models are constructed, and Copula function models combined with Kantorovich distance-based scenario reduction methods are introduced for processing. Then, electricity-carbon synergistic objective functions are constructed to establish a MILP reliability assessment model with carbon emission constraints. Finally, experimental analysis is conducted on the BUS6 F4 feeder system. Results demonstrate that the proposed method achieves synergistic optimization of reliability and carbon emissions, with SAIFI reduced by 76.2 % and carbon emission saving factor reaching 6.81 %, providing an effective approach for low-carbon reliable operation of flexible interconnected distribution networks.