基于多参数规划的电动汽车充电站有效容量评估方法

为准确评估配电网承载电动汽车的能力，保证配网安全经济运行，基于多参数规划理论，提出电动汽车充电站有效容量定义及其评估方法，充分考虑了不同充电站之间隐含的耦合关系，能够准确快速刻画多个充电站有效容量边界，辅助配网调度决策。首先，依据配网经济调度模型和卡罗需-库恩-塔克（Karush-Kuhn-Tucker，KKT）条件，构建充电站有效容量等效约束集，表征有效容量可行空间，提供精确的调度边界信息。进而，推导不同有效容量子空间下配网分段运行成本函数，反映充电功率对配网经济运行的影响。最后，通过IEEE-33节点系统进行算例仿真分析，验证了该方法的准确性和有效性。

Available Capacity Evaluation Method of Electric Vehicle Charging Stations Based on Multi-parametric Programming

To precisely evaluate the bearing capacity of distribution networks for electric vehicles (EVs) and thus ensure the secure operation of distribution networks, this paper proposes the definition of the available capacity (AC) of EV charging stations (EVCSs) and its evaluation method on the basis of the multi-parametric programming theory. The proposed method can efficiently and accurately visualize the AC boundaries of EVCSs with full consideration of the implicit coupling effects among multiple EVCSs and assists in the decision-making of distribution network scheduling. Firstly, according to the economic scheduling model of distribution networks and Karush-Kuhn-Tucker (KKT) conditions, the equivalent constraint sets of AC are formulated to represent the feasible space of AC and provide accurate boundary information for the scheduling. Next, the piecewise operational costs for different AC sub-space are derived to reflect the impact of charging power on the economic operation of distribution networks. Finally, simulations on the modified IEEE-33 bus system demonstrate the accuracy and effectiveness of the proposed evaluation model.