On the Cramér–Rao Bound of Power System Electromechanical Mode Meters
On the Cramér–Rao Bound of Power System Electromechanical Mode Meters
复制标题
DOI：
10.1109/tpwrs.2019.2913271
复制
发表时间：
2019-04
影响因子：
6.6
通讯作者：
L. Dosiek
中科院分区：
文献类型：
--
作者：
L. Dosiek
本文导出了机电模态的频率和阻尼的cram<s:1> - rao界（CRB）表达式。当记录模式仪表算法的性能时，这提供了一个宝贵的工具，因为CRB被用作可以比较模式仪表方差的基准。结果表明，所导出的CRB表达式得到了几种已知模态估计现象的支持，并在自回归移动平均（ARMA）模型的Monte Carlo模拟中使用渐近有效预测误差方法（PEM）进行了数值验证。最后，给出了一个实际用例，在研究样本大小对精度的影响时，使用miniWECC系统的区域间模态频率和阻尼的CRB来比较几种知名模态计的性能。
In this paper, an expression for the Cramér–Rao bound (CRB) on the frequency and damping of electromechanical modes is derived. This provides an invaluable tool when documenting the performance capabilities of mode meter algorithms, as the CRB is used as a benchmark to which mode meter variance may be compared. It is shown that the derived CRB expression is supported by several well-known mode estimation phenomena, and it is numerically validated using the asymptotically efficient Prediction Error Method (PEM) on Monte Carlo simulations of an autoregressive moving average (ARMA) model. Finally, a practical use case is given, in which the CRB on the frequency and damping of an inter-area mode from the miniWECC system is used to compare the performance of several well-known mode meters in a study of how sample size affects accuracy.