论文标题
确保最佳传输开关问题中的网络连接
Ensuring Network Connectedness in Optimal Transmission Switching Problems
论文作者
论文摘要
网络连接性对于传输网络的正常运行是必不可少的。但是，仍然缺乏有效的约束，可以直接添加到最佳传输切换（OT）的问题制定中，以确保严格确保网络连接性。为了填补这一空白，本文提出了一组线性连接性约束，通过利用电气流网络的顶点电势方程之间的网络连接性和可行性之间的等效性。所提出的约束与任何现有的OTS模型兼容，以确保拓扑连接性。此外，我们为提出的连接性约束开发了一个还原版，以寻求提高计算效率。最后，使用直流OT模型的数值研究显示了OT公式的缺乏，而无需完全考虑网络连接性并证明了所提出的约束的有效性。由连接性约束引起的计算负担是中等的，可以使用还原版本明显缓解。
Network connectedness is indispensable for the normal operation of transmission networks. However, there still remains a lack of efficient constraints that can be directly added to the problem formulation of optimal transmission switching (OTS) to ensure network connectedness strictly. To fill this gap, this paper proposes a set of linear connectedness constraints by leveraging the equivalence between network connectedness and feasibility of the vertex potential equation of an electrical flow network. The proposed constraints are compatible with any existing OTS models to ensure topology connectedness. Furthermore, we develop a reduction version for the proposed connectedness constraints, seeking for improvement of computational efficiency. Finally, numerical studies with a DC OTS model show the deficiency of OTS formulations without full consideration of network connectedness and demonstrate the effectiveness of the proposed constraints. The computational burden caused by the connectedness constraints is moderate and can be remarkably relieved by using the reduced version.
