Application of Detectability Analysis for Power System Dynamic State Estimation
Application of Detectability Analysis for Power System Dynamic State Estimation
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DOI：
10.1109/tpwrs.2020.2987472
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发表时间：
2020-07
影响因子：
6.6
通讯作者：
N. Zhou;Shaobu Wang;Junbo Zhao;Zhenyu Huang
中科院分区：
文献类型：
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作者：
N. Zhou;Shaobu Wang;Junbo Zhao;Zhenyu Huang
在本文中，研究并扩展了可检测性分析，以指导同步电机动态状态估计（DSE）测量的选择。为了确保 DSE 收敛，过去的研究表明必须有足够的测量数据才能使系统可观测。在本文中，通过可检测性分析放宽收敛条件，以减少所需测量的数量。由于 DSE 的目标是随着时间的推移估计当前状态，因此表明，如果与不可观状态相对应的特征值稳定，则 DSE 观察者不仅可以对于可观系统收敛，而且对于不可观系统也可以收敛。使用 IEEE 10 机、39 总线系统的仿真结果表明，当选择测量以使不可观测状态具有稳定的特征值时，基于无迹卡尔曼滤波器的 DSE 可以收敛。与可观测性分析相比，可检测性分析的建议应用可以减少 DSE 观测器存在所需的测量数量。
In this paper, detectability analysis is studied and extended to guide selection of measurements for the dynamic state estimation (DSE) of a synchronous machine. To make sure that the DSE converges, past studies suggested that enough measurements must be available to make the system observable. In this paper, the convergence condition is relaxed via detectability analysis to reduce the number of required measurements. Because the objective of the DSE is to estimate the current states as time progresses, it is shown that a DSE observer can converge not only for an observable system but also for an unobservable system if the eigenvalues corresponding to the unobservable states are stable. Simulation results using the IEEE 10-machine, 39-bus system show that the unscented-Kalman-filter-based DSE can converge when measurements are chosen such that the unobservable states have stable eigenvalues. In comparison with observability analysis, the proposed application of detectability analysis can reduce the number of measurements required for the existence of a DSE observer.