考虑配电网安全稳定运行的蓄热式电采暖多目标优化配置

蓄热式电采暖系统的不合理配置会对配电网的安全稳定运行带来不利影响。为此，提出一种蓄热式电采暖多目标双层优化配置模型。首先，根据历史数据计算出供暖季逐时热负荷需求，采用k-means聚类算法选取一定数量典型日场景；其次，以蓄热式电采暖系统投资成本、运行维护成本和线路负荷标准差最优为目标，建立一种基于配电网经济性和潮流均衡性的多目标双层规划模型。采用多目标粒子群算法求出Pareto最优解集，通过熵权-TOPSIS法从中选取最佳接入位置、功率和容量。最后，以改进的IEEE 33节点系统为例进行仿真分析，结果表明：该模型虽然增加了一定的经济费用，但明显改善了线路负荷分布，使配电网潮流更加均衡，保证配电网能够安全稳定运行。

Multi-objective Optimal Configuration of Regenerative Electric Heating Considering the Safe and Stable Operation of Distribution Network

The unreasonable configuration of regenerative electric heating system will negatively affect the safe and steady operation of distribution network. Therefore, a multi-objective and double-layer optimal configuration model of regenerative electric heating is proposed. Firstly, the hourly heat load demand of heating season is calculated according to historical data, and a certain number of typical daily scenes are selected by using k-means clustering algorithm. Secondly, taking the optimal investment cost, the operation cost and the standard deviation of line load of distribution network as the goal, a multi-objective bi-level programming model based on the economy of distribution network and the balance of power flow is established. The multi-objective particle swarm optimization algorithm is used to obtain the Pareto optimal solution set and the optimal access location, power and capacity are selected by entropy weight-TOPSIS method. Finally, the improved IEEE 33 node system is taken as an example for simulation analysis. The results show that although the model increases some economic cost, it obviously improves the line load distribution, makes the power flow of the distribution network more balanced, and ensures the safe and steady operation of the distribution network.