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Optimal PMU placement method for complete topological and numerical observability of power system

机译：电力系统完全拓扑和数值可观测性的最优PMU放置方法

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摘要

This paper presents a new method of optimal PMU placement (OPP) for complete power system observability. A two-stage PMU placement method is proposed, where stage-1 finds out the minimum number of PMUs required to make the power system topologically observable and stage-2 is proposed to check if the resulted PMU placement (from stage-1) leads to a full ranked measurement Jacobian. In case the PMUs placed, ensuring topological observability in stage-1, do not lead to the Jacobian of full rank, a sequential elimination algorithm (SEA) is proposed in stage-2 to find the optimal locations of additional PMUs, required to be placed to make the system numerically observable as well. The proposed method is tested on three systems and the results are compared with three other topological observability based PMU placement methods. The simulation results ensure the complete system observability and also demonstrate the need of using stage-2 analysis along with the topological observability based PMU placement methods.
机译：本文提出了一种用于完整电力系统可观察性的最优PMU放置（OPP）的新方法。提出了一种两阶段的PMU放置方法，其中第1阶段找出使电源系统在拓扑上可观察到的PMU的最小数量，并提出第2阶段检查（从第1阶段产生的）PMU放置是否导致完整排名的雅可比测量值。如果放置了PMU（确保第1阶段的拓扑可观察性）不会导致满秩的雅可比行列，则在第2阶段提出一种顺序消除算法（SEA），以找到需要放置的其他PMU的最佳位置使系统在数值上也可观察。所提出的方法在三个系统上进行了测试，并将结果与​​其他三个基于拓扑可观察性的PMU放置方法进行了比较。仿真结果确保了完整的系统可观察性，并且还证明了需要使用阶段2分析以及基于拓扑可观察性的PMU放置方法。

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