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Higher-order statistics for power systems: Effects of the sampling frequency on ergodicity

机译:电力系统高阶统计:采样频率对遍历性的影响

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The quality of the energy produced is of the highest importance. In this study, we analyzed the actual application of statistical signal processing methods. In general, these methods require estimates of the statistics involved in a first step by using a time sequence for a single measurement (realization), so ergodicity must hold. Thus, we focused on the ergodicity condition to estimate higher-order statistics, particularly third and fourth order statistics. We demonstrated the influence of the sampling frequency on the ergodicity of the sampled signal based on examples involving power systems and components. Our novel method based on higher-order statistics may facilitate new approaches to the analysis of ergodicity in power systems.
机译:产生的能量质量至关重要。在这项研究中,我们分析了统计信号处理方法的实际应用。通常,这些方法需要通过使用针对单个度量(实现)的时间序列来估算第一步中涉及的统计量,因此必须具备遍历性。因此,我们专注于遍历条件来估计高阶统计量,尤其是三阶和四阶统计量。基于涉及电力系统和组件的示例,我们演示了采样频率对采样信号的遍历性的影响。我们基于高阶统计量的新颖方法可能会促进电力系统遍历性分析的新方法。

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