论文标题
BIM和BFM最佳功率流的注释，具有平行线和总电流限制
Notes on BIM and BFM Optimal Power Flow With Parallel Lines and Total Current Limits
论文作者
论文摘要
最佳功率流的分支流模型（BFM）和总线注入模型（BIM）变体的二阶锥体松弛众所周知是径向网络的等效性。在这项工作中，我们表明，在具有平行线的网状网络中，BIM主导了BFM，并提出了新颖的约束，以使其一般而言。此外，我们对最佳功率流的二阶锥体松弛进行了改进，并在升起的电流表达式上增加了新颖和有效的线性约束。我们开发了两个简单的测试用例，以突出提出的约束的优势。这些新颖的限制因“ PG LIB”最佳功率流基准库中的测试用例的二阶松弛差距紧缩了二阶放松差距，尽管通常以有限的方式。
The second-order cone relaxation of the branch flow model (BFM) and bus injection model (BIM) variants of optimal power flow are well-known to be equivalent for radial networks. In this work we show that in meshed networks with parallel lines, BIM dominates BFM, and propose novel constraints to make them equivalent in general. Furthermore, we develop an improvement to the second-order cone relaxations of optimal power flow, adding novel and valid linear constraints on the lifted current expressions. We develop two simple test cases to highlight the advantages of the proposed constraints. These novel constraints tighten the second-order cone relaxation gap on test cases in the `PG Lib' optimal power flow benchmark library, albeit generally in limited fashion.
