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Parameter Determination of a Nonsinusoidal Periodic Signal Harmonic Based on the Modified Sine Transform

机译:基于修正正弦变换的非正弦周期信号谐波参数确定

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摘要

An algorithm is presented for determining the amplitude and the initial phase of the oscillations of the kth harmonic included in the structure of the nonsinusoidal periodic signal. The algorithm differs from the well-known Euler-Fourier method based on sine and cosine transforms. The qualitative difference of the proposed method consists in the use of the cosine function, which is an analytic solution of a modified sine transform, the structure of which includes a sinusoidal factor with a complex argument that contains a variable phase angle. The coordinates of the maximum of this functional dependence, which is raised to a positive integer power to improve the accuracy of determining the parameters, are uniquely associated with the amplitude and the initial phase of oscillations of the kth harmonic of the nonsinusoidal signal. The considered method minimizes the use of nonlinear operations and at its core has the element inherent in the selective filter. The possibility of obtaining information on the parameters of the first voltage and current harmonics with the required accuracy enhances the reliability of the evaluation of processes occurring in the power system in the conditions of interference in the form of higher harmonics. An example problem is solved in the MS Excel environment.
机译:提出了一种用于确定包含在非正弦周期信号结构中的第k次谐波的振幅和初始相位的算法。该算法不同于基于正弦和余弦变换的著名的Euler-Fourier方法。所提出方法的质量差异在于使用余弦函数,该函数是改进的正弦变换的解析解,其结构包括正弦因子,其正弦因子具有包含可变相位角的复杂参数。该函数依赖性的最大值的坐标被提高到正整数幂以提高确定参数的准确性,该坐标唯一地与非正弦信号的k次谐波的振幅和振荡的初始相位相关联。所考虑的方法最大程度地减少了非线性运算的使用,其核心是选择性滤波器固有的元素。以所需的精度获得有关第一电压和电流谐波的参数的信息的可能性提高了在以高次谐波形式出现干扰的条件下对电力系统中发生的过程进行评估的可靠性。在MS Excel环境中解决了一个示例问题。

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