保证网络连通性的最优传输切换问题
Ensuring Network Connectedness in Optimal Transmission Switching Problems
摘要：
网络连通性是传输网络正常运行的必要条件。然而，仍然缺乏有效的约束，可以直接添加到最优传输切换（OTS）的问题制定，以确保网络的连通性严格。为了填补这一空白，本文提出了一组线性连通性约束，利用网络连通性和电流网络的顶点电位方程的可行性之间的等价性。建议的约束是兼容的任何现有的OTS模型，以确保拓扑连通性。此外，我们开发了一个简化版本的建议的连通性约束，寻求提高计算效率。最后，通过一个DC OTS模型的数值研究，说明了在没有充分考虑网络连通性的情况下OTS公式的不足，并证明了所提出的约束的有效性。由连通性约束引起的计算负担是适度的，可以显着减轻使用减少的版本。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
