Application of partitioned-based moving horizon estimation in power system state estimation

Tengpeng Chen, Ashok Krishnan, T. Tran
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Abstract

The Partitioned-based Moving Horizon Estimation (PMHE), developed previously by others, is applied to the power system state estimation problem in this paper. The constraints on state variables and noises are taken into account in this scheme. In this distributed approach, the network is partitioned into several non-overlapping and observable areas. The global Jacobian matrix is required during the initial time before approaching the converged states. Only the estimated information data between neighboring areas are exchanged afterwards. The communication traffic is thus significantly reduced compared to a centralized solution. Meanwhile, each area estimates its local states by solving a smaller size optimization problem. The optimization problem is, therefore, scalable. PMHE converges to the centralized solution of moving horizon estimation (MHE) within finite time steps. Numerical simulation with the IEEE 14-bus system shows the convergence of PMHE. Further, the estimated states are better than those from the weighted least squares (WLS) with large outliers.
基于分割的运动水平估计在电力系统状态估计中的应用
本文将前人提出的基于分割的运动视界估计(PMHE)应用于电力系统状态估计问题。该方案考虑了状态变量和噪声的约束。在这种分布式方法中,网络被划分为几个不重叠且可观察的区域。在逼近收敛状态之前的初始阶段需要全局雅可比矩阵。之后仅交换相邻区域之间的估计信息数据。因此,与集中式解决方案相比,通信流量大大减少。同时,每个区域通过求解一个较小的优化问题来估计其局部状态。因此,优化问题是可伸缩的。PMHE收敛于有限时间步长的运动地平估计(MHE)的集中解。在IEEE 14总线系统上的数值仿真表明了PMHE的收敛性。此外,该方法的估计状态优于具有较大异常值的加权最小二乘方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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