基于频率跟踪的DFT相量测量算法

Guo Hehong, Yan Xiaohong, Guo Zun, Zhao Qingsheng, Zhang Jie, Wang Xuping
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引用次数: 0

摘要

在功率信号频率偏差的情况下,采用传统的离散傅立叶变换(discrete Fourier transform, DFT)实现同步相量测量,会产生栅栏效应和频谱泄漏,严重降低计算精度。为此,本文提出了一种改进的修正DFT相量测量算法。首先,介绍了频率跟踪算法,该算法用于计算基频。然后分析了非同步采样中DFT误差的产生机理。得到了幅相误差与频率偏差的函数关系。提出了一种减少频谱泄漏的方法,改进了振幅和相位误差的表达式。最后通过不同的信号模型和实际数据对算法的性能进行了测试。仿真结果表明,该算法满足同步相量测量的精度要求。
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Algorithm of DFT Phasor Measurement based on Frequency Tracking
In the case of power signal frequency deviation, traditional discrete Fourier transform (discrete Fourier transformation, DFT) is used to realize synchronous phasor measurement, which will cause fence effect and spectrum leakage, and seriously reduce the accuracy of the calculation. For this reason, an improved modified DFT algorithm for phasor measurement is proposed in this paper. Firstly, the frequency tracking algorithm is introduced, which is used to calculate fundamental frequency. Then the DFT error mechanism in the non-synchronous sampling is analyzed. The functional relation between the amplitude and phase errors and frequency deviation is obtained. A method of reducing spectrum leakage is proposed and the amplitude and phase errors expressions are improved. Finally the performance of the algorithm is tested by different signal models and actual data. The simulation results show that the proposed algorithm meets the accuracy requirements of synchronized phasor measurement.
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