This paper defines a Maximum Likelihood Estimator (MLE) for the admittance matrix estimation of distribution grids, utilising voltage magnitude and power measurements collected only from common, unsychronised measuring devices (Smart Meters). First, we present a model of the grid, as well as the existing MLE based on voltage and current phasor measurements. Then, this problem formulation is adjusted for phase-less measurements using common assumptions. The effect of these assumptions is compared to the initial problem in various scenarios. Finally, numerical experiments on a popular IEEE benchmark network indicate promising results. Missing data can greatly disrupt estimation methods. Not measuring the voltage phase only adds 30\% of error to the admittance matrix estimate in realistic conditions. Moreover, the sensitivity to measurement noise is similar with and without the phase.
翻译:本文定义了一个最大可能性模拟器(MLE),用于对分布网进行允许矩阵估计,使用电压强度和电量测量,仅从通用的、不同步的测量装置(Smart Meters)中收集。首先,我们提出了一个网格模型,以及基于电压和当前散声测量的现有MLE模型。然后,用共同的假设根据无阶段测量进行调整。这些假设的效果与各种假设中的初始问题相比较。最后,在流行的IEEE基准网络上进行的数字实验显示了有希望的结果。缺失的数据会大大破坏估计方法。没有测量电压阶段,在现实条件下,在允许矩阵估计中只会增加30 ⁇ 差。此外,测量噪音的敏感度与该阶段是相似的,与该阶段无关。