论文标题
通过分布式张量完成的多面积分配系统状态估算
Multi-Area Distribution System State Estimation via Distributed Tensor Completion
论文作者
论文摘要
本文提出了一种基于张量的多核分解的张量完成的无模型分配系统状态估计方法。特别是，我们考虑将网络分为多个区域的设置。位于同一区域的公交车的测量物理量由区域控制器处理。构建了三向张量以收集这些测得的数量。在本地分析测量值，以恢复网络的完整状态信息。开发了基于乘数交替方向方法的分布式封闭形式迭代算法，以获得整个网络状态张量的低级别因子，在这些因素中，信息交换仅在相邻区域之间发生。提供了分布式算法的收敛性能以及每个较小网络的样品数量的足够条件，以保证状态张量因子的识别性。为了证明所提出的算法的功效并检查可识别性条件，使用IEEE 123-BUS系统进行了数值模拟。
This paper proposes a model-free distribution system state estimation method based on tensor completion using canonical polyadic decomposition. In particular, we consider a setting where the network is divided into multiple areas. The measured physical quantities at buses located in the same area are processed by an area controller. A three-way tensor is constructed to collect these measured quantities. The measurements are analyzed locally to recover the full state information of the network. A distributed closed-form iterative algorithm based on the alternating direction method of multipliers is developed to obtain the low-rank factors of the whole network state tensor where information exchange happens only between neighboring areas. The convergence properties of the distributed algorithm and the sufficient conditions on the number of samples for each smaller network that guarantee the identifiability of the factors of the state tensor are presented. To demonstrate the efficacy of the proposed algorithm and to check the identifiability conditions, numerical simulations are carried out using the IEEE 123-bus system.
