| 引用本文: | 张强,王海云,王维庆.一种新型组合优化谐波分析方法研究[J].电力系统保护与控制,2020,48(10):156-163.[点击复制] |
| ZHANG Qiang,WANG Haiyun,WANG Weiqing.A new combined optimization harmonic analysis method[J].Power System Protection and Control,2020,48(10):156-163[点击复制] |
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| 摘要: |
| 在非同步采样和非整数周期截断时，采用快速傅里叶变换(Fast Fourier Transform, FFT)进行电力谐波分析时容易造成频谱泄露和栅栏效应，加窗插值可有效解决频谱泄露和栅栏效应问题。在分析了纳托尔窗的频谱特性的基础上，推理得出4项5阶纳托尔窗函数，通过自卷积运算得到纳托尔自卷积窗函数，并推导出四谱线插值校正公式。基于全相位傅里叶变换(all-phase FFT, apFFT)的相位不变性，利用理论频点附近的主谱线和旁谱线幅值的比值，推导出基于纳托尔双窗和apFFT双谱线插值频谱校正分析法。由此提出了加窗插值FFT用于频率和幅值的检测，apFFT用于相位检测的新型组合算法。仿真结果表明所提新型组合算法在谐波检测时精度更高，抑制频谱泄露能力更强。 |
| 关键词: 非同步采样 快速傅里叶变换 纳托尔自卷积窗 四谱线插值 全相位傅里叶变换 |
| DOI：10.19783/j.cnki.pspc.190784 |
| 投稿时间：2019-07-05修订日期：2019-09-24 |
| 基金项目:国家自然科学基金项目资助(51667020);“风力发电系统智能控制及并网技术”教育部创新团队(IRT_16R63) |
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| A new combined optimization harmonic analysis method |
| ZHANG Qiang,WANG Haiyun,WANG Weiqing |
| (Engineering Research Center for Renewable Energy Power Generation & Grid Technology Approved by Education Ministry for its Establishment under College of Electrical Engineering, Xinjiang University, Urumqi 830047, China) |
| Abstract: |
| In the case of non-synchronous sampling and non-integer periodic truncation, the use of Fast Fourier Transform (FFT) for power harmonic analysis is likely to cause spectrum leakage and the fence effect. Windowed interpolation can effectively solve the problem. The spectral characteristics of the Nuttall window are analyzed and the 4 terms 5 orders Nuttall window is deduced. The Nuttall self-convolution window function is obtained by a self-convolution operation based on the 4 terms 5 orders Nuttall window, and the four-spectral-line interpolation correction formula is derived. Based on the phase stability of all-phase FFT (apFFT), the ratio of the amplitude of the main spectrum line and the side spectrum line near the theoretical frequency point, a spectrum correction analysis method based on the interpolation of Nuttall double windows and apFFT double spectrum line is deduced. A new combination algorithm of windowed interpolation FFT for frequency and amplitude detection and apFFT for phase detection is proposed. The simulation results show that the new combined algorithm proposed in this paper has higher accuracy and stronger ability to suppress spectrum leakage in harmonic detection. This work is supported by National Natural Science Foundation of China (No. 51667020). |
| Key words: asynchronous sampling fast Fourier transform Nuttall self-convolution window four-spectral-line interpolation all-phase Fourier transform |
