论文标题
最佳功率流问题中零电压值的陷阱
Pitfalls of Zero Voltage Values in Optimal Power Flow Problems
论文作者
论文摘要
在最佳功率流问题中，将严格的正限在电压幅度上存在严格的正界。然而，不可能依靠此类范围来解决各种现实世界网络优化问题。本文讨论了与在电流电压，电力电压和电源载电压可变空间中得出优化公式过程中提出优化配方过程中提出的优化公式相关的一些问题。对于可视化可行的集合的2个总线2线测试用例，说明了假设之间的差异。对于规范多通用功率电压公式，观察到非零弛豫差距。可以使用新提出的有效的相等性获得分支流模型半明确放松的零间隙。
The existence of strictly positive lower bounds on voltage magnitude is taken for granted in optimal power flow problems. Nevertheless, it is not possible to rely on such bounds for a variety of real-world network optimization problems. This paper discusses a few issues related to 0 V assumptions made during the process of deriving optimization formulations in the current-voltage, power-voltage and power-lifted-voltage variable spaces. The differences between the assumptions are illustrated for a 2-bus 2-wire test case, where the feasible sets are visualized. A nonzero relaxation gap is observed for the canonical multiconductor nonlinear power-voltage formulation. A zero gap can be obtained for the branch flow model semi-definite relaxation, using newly proposed valid equalities.
