计及交互功率不确定性和柔性负荷的输配协同优化调度

Coordinated Optimal Dispatch for Transmission and Distribution Networks Considering Interactive Power Uncertainty and Flexible Load

分布式新能源高比例渗透和负荷主动响应加深了输配电网之间的耦合,给输配电网安全可靠运行带来巨大的挑战。为实现输配电网协同运行,提出一种考虑交互功率非参数概率特征和柔性负荷的输配协同双层优化方法。首先,建立计及柔性负荷的下层配电网最优潮流模型,基于KKT条件构建配电网边界交互功率和新能源出力之间的解析映射关系,进而结合高斯混合模型,以非参数形式刻画交互功率的概率分布,提升交互功率不确定性描述的准确性。然后建立考虑交互功率安全区间约束和机组组合的输电网上层优化模型,基于KKT条件得到下层优化模型的解析解,将双层模型转化为单层模型进行求解,保证输配优化调度的协同性和可行性。最后,采用IEEE-30节点输电系统和IEEE-33节点配电系统算例仿真验证所提方法的有效性和准确性。

The high proportion penetration of distributed renewable energy and active load response have deepened the coupling between the transmission and distribution network,which poses severe challenges to the safe and reliable opera-tion of the transmission and distribution networks.In order to achieve the coordinated operation of the transmission and distribution networks,this paper proposes a bi-level optimization method for coordinated transmission and distribution networks,which considers the nonparametric probabilistic characteristics of interactive power and flexible load.Firstly,the optimal power flow model of the lower-level distribution network is established on the basis of considering flexible load.The analytical mapping relationship between the interactive power and the renewable energy output is constructed based on the KKT conditions.In combination with the Gaussian mixture model,the probability distribution of the interac-tion power is described in a nonparametric form to improve the accuracy of the uncertainty description.Then,the interactive power safety interval constraints and unit commitment are taken into account,and the upper-level transmission network optimization model is established.Based on the KKT conditions,the bi-level model is converted to the sin-gle-level model for ensuring the coordination and feasibility of optimal dispatch for transmission and distribution networks.Finally,numerical examples on the IEEE 30-bus transmission system and IEEE 33-bus distribution system ver-ify the effectiveness and accuracy of the proposed method.