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基于切比雪夫窗的电力系统谐波/间谐波高精度分析方法 被引量:19

A High Accuracy Analysis Method for Harmonics and Inter-harmonics in Power Systems Based on Dolph-Chebyshev Windows
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摘要 基于离散傅里叶变换的谐波分析方法通常采用加窗插值的方式来减小频谱泄漏和栅栏效应的影响。针对谐波/间谐波及负频率成分对关注频率存在频谱干扰,提出了基于切比雪夫窗的高精度谐波/间谐波分析方法。对信号加切比雪夫窗截断,并采用相位旋转及奇数点插值的方法,求解信号的频率、幅值和相角,极大地抑制了频谱泄漏。对经典谐波信号和电力谐波信号进行了仿真分析,计算结果表明,所提出的方法在谐波/间谐波测量上具有更高的测量精度,并且具有一定的抗噪性。 The harmonic analysis method based on discrete Fourier transform usually adopts the mode of windowing and interpolation to reduce the influence of frequency spectrum leakage and fence effect.For the frequency spectrum interference from harmonics,inter-harmonics and negative frequency components to the harmonics of concern,a high precision harmonic and inter-harmonic analysis method based on Dolph-Chebyshev windows is proposed.The signal is truncated by Dolph-Chebyshev windows,and the frequency,amplitude and phase are solved through phase rotation and odd point interpolation, which significantly inhibits spectrum leakage.The classical harmonic signal and power harmonic signal are analyzed,and the results show that the proposed method has higher precision on harmonic and inter-harmonic measurement,as well as a certain anti-noise ability.
出处 《电力系统自动化》 EI CSCD 北大核心 2015年第7期117-123,共7页 Automation of Electric Power Systems
基金 国家自然科学基金青年基金资助项目(51207130) 国家高技术研究发展计划(863计划)资助项目(2012AA050208) 高等学校博士学科点专项科研基金资助项目(20130184110002) 中央高校基本科研业务费专项资金资助项目(2682013CX015)~~
关键词 切比雪夫窗 谐波分析 间谐波分析 离散傅里叶变换 Dolph-Chebyshev window harmonic analysis inter-harmonic analysis discrete Fourier transform(DFT)
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参考文献5

  • 1Spectral correction-based method for interharmonics analysis of power signals with fundamental frequency deviation[J]. Electric Power Systems Research . 2009 (7)
  • 2Jain V K,Collins W L,Davis D C.High-accuracy analog measurements via interpolated FFT. IEEE Transactions on Instrumentation and Measurement . 1979
  • 3Andria, Gregorio,Savino, Mario,Trotta, Amerigo.Windows and interpolation algorithms to improve electrical measurement accuracy. IEEE Transactions on Instrumentation and Measurement . 1989
  • 4Grandke T.Interpolation algorithms for discrete Fourier transforms of weighted signals. IEEE Transactions on Instrumentation and Measurement . 1983
  • 5International Electrotechnical Commission.General guide on harmonics and interharmonics measurements and instrumentation for power supply systems and equipment connected thereto. IEC 61000-4-7 . 2002

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