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Power Grid Frequency Estimation Based on Zero Crossing Technique Using Least Squares Method to Approximate Sampled Voltage Signal Around Zero Level

机译:基于过零技术的电网频率估计使用最小二乘法测定零电平的采样电压信号

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The article presents the application of the least squares method to the estimation of voltage transition points through the zero level in order to determine the frequency of the power grid system. A linear approximation of the quantized voltage signal samples near zero has been applied, which ensures effective noise suppression and reduces measurement errors. An even sampling of the sinusoidal voltage disturbed by noise was assumed, and on this basis the corresponding mathematical relations were derived. The presented algorithm for processing signal samples is computationally simple and can be easily implemented in a microprocessor system. The dependence of the accuracy of the signal frequency measurement on: SNR signal ratio, ADC converter resolution, signal sampling rate and the number of samples used for approximation were investigated. The simulation tests of the presented method were carried out and the results were presented, which enable proper design of the measurement system (ADC converter resolution, sampling rate, number of points to approximate) depending on the expected signal SNR ratio and the expected accuracy of measurements. In order to verify the presented method in practice, a measuring system was implemented using the National Instruments NI USB 6009 Data Acquisition Card and a personal computer. The measurement algorithm was implemented in the LabVIEW environment. The structure of the program was presented and the method of implementation of the most important parts of the algorithm was discussed, as well as examples of measurement results. The developed method can be used to build an independent measuring instrument or it can be an element of a larger measuring system.
机译:该物品呈现了最小二乘法通过零电平估计电压转换点的估计,以便确定电网系统的频率。已经应用了零附近的量化电压信号样本的线性近似,这确保了有效的噪声抑制并降低了测量误差。假设由噪声扰乱的正弦电压的均匀采样,并且在此基础上得到了相应的数学关系。所提出的处理信号样本的算法是计算简单的,并且可以在微处理器系统中容易地实现。研究了信号频率测量精度的依赖性:SNR信号比,ADC转换器分辨率,信号采样率和用于近似的样品的数量。提出了所提出的方法的模拟测试,并提出了结果,这使得测量系统(ADC转换器分辨率,采样率,点数为近似数量)的正确设计,具体取决于预期信号SNR比率和预期的精度测量。为了在实践中验证所提出的方法,使用国家仪器NI USB 6009数据采集卡和个人计算机实现了测量系统。测量算法在LabVIEW环境中实现。提出了该程序的结构,并讨论了算法的最重要部分的实施方法,以及测量结果的示例。开发方法可用于构建独立的测量仪器,或者它可以是较大测量系统的元素。

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