| 引用本文: | 黄少锋,高 琦,周宇聪,熊 军.消除非周期分量影响的改进傅里叶算法[J].电力系统保护与控制,2021,49(14):21-28.[点击复制] |
| HUANG Shaofeng, GAO Qi, ZHOU Yucong, XIONG Jun.An improved Fourier algorithm for eliminating the influence of an aperiodic component[J].Power System Protection and Control,2021,49(14):21-28[点击复制] |
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| 摘要: |
| 傅里叶算法不仅具有滤除整数次谐波的能力，也具有很强的抑制非整数次谐波的能力，在电力系统信号分析中得到了广泛使用，但是传统傅里叶算法会受非周期分量的影响而产生较大的计算误差。在定量分析非周期分量可能造成的计算误差基础上，提出了一种改进傅里叶算法。先通过对两个不同工频周期下的采样值进行积分，计算出非周期分量参数，再从传统傅里叶算法的计算结果中将误差剔除。将泰勒级数的误差计算方法进行了拓展推导，并设置了应用条件以及优化措施，使改进傅里叶算法能够较好地兼顾速度与精度。分别采用静态模型信号和Matlab/Simulink仿真信号进行验证。结果表明，相比于传统傅里叶算法而言，改进傅里叶算法有效消除了非周期分量的影响，具有良好的计算精度和实用效果。 |
| 关键词: 傅里叶算法 滤波 非周期分量 改进算法 精度 |
| DOI：DOI: 10.19783/j.cnki.pspc.201243 |
| 投稿时间：2020-10-15修订日期：2021-01-22 |
| 基金项目:国家自然科学基金项目资助(51777071) |
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| An improved Fourier algorithm for eliminating the influence of an aperiodic component |
| HUANG Shaofeng1,2,GAO Qi1,ZHOU Yucong3,XIONG Jun2 |
| (1. School of Electrical and Electronic Engineering, North China Electric Power University, Beijing 102206, China;
2. Beijing Sifang Automation Co., Ltd., Beijing 100085, China; 3. Guangzhou Bureau,
CSG EHV Power Transmission Company, Guangzhou 510000, China) |
| Abstract: |
| The Fourier algorithm has the ability to filter the integral harmonic and inhibit non-integer harmonics, so it is widely used in electrical power systems for signal analysis. However, the traditional Fourier algorithm is affected by aperiodic components and produces considerable errors. Based on a quantitative analysis of calculation errors that may be caused by aperiodic components, an improved Fourier algorithm is proposed. First, the sampling values of two different power frequency periods are integrated to calculate the aperiodic component parameters, and then we eliminate the errors from the calculation results of the traditional Fourier algorithm. The error calculation method of Taylor series is extended and deduced. By setting the application conditions and optimization measures, the improved Fourier algorithm can ensure both speed and accuracy. Static model signals and Matlab/Simulink simulated signals are used for simulation verification. The results indicate that compared with the traditional Fourier algorithm, the improved Fourier algorithm can effectively eliminate the influence of aperiodic components, and so it has good calculation precision and practicability.
This work is supported by the National Natural Science Foundation of China (No. 51777071). |
| Key words: Fourier algorithm filtering aperiodic component improved algorithm accuracy |
