| 改进加窗频谱峰值拟合算法及谐波分析应用 |
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| 引用本文： | 温和,滕召胜,黎福海,王永,胡晓光.改进加窗频谱峰值拟合算法及谐波分析应用[J].电工技术学报,2011(10):8-15. |
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| 作者姓名： | 温和 滕召胜 黎福海 王永 胡晓光 |
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| 作者单位： | 湖南大学电气与信息工程学院;北京航天航空大学自动化工程学院; |
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| 基金项目： | 国家自然科学基金(61002035,60872128); 高等学校博士学科点专项科研基金(新教师类)(20100161120004); 中国博士后科学基金(20100471213)资助项目 |
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| 摘 要： | 加窗FFT是目前应用最为广泛的谐波分析方法。但非同步采样时,离散频谱校正中存在计算准确度与实时性的矛盾。论文结合三角自卷积窗的频谱特性,建立了基于最小二乘法的三角自卷积窗加权电力谐波分析算法。首先利用三角自卷积窗对信号进行加权,以抑制频谱泄漏;其次,采用最小二乘法进行离散频谱校正,构造可以根据精度要求进行调节的频谱校正拟合多项式;最后,根据最小二乘拟合多项式,建立简单、易行的谐波幅值、初相角和频率计算式。非同步采样和非整数周期截断条件下,对白噪声、基波频率波动等情况的谐波参数分析仿真实验验证了算法的有效性和准确性。
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| 关 键 词： | 最小二乘法 多项式拟合 电力谐波 频谱校正 谐波分析 |
Improved Windowed Spectral-Peaks Polynomial Fitting Algorithm and Its Application in Power Harmonic Analysis |
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| Wen He, Teng Zhaosheng Li Fuhai Wang Yong Hu Xiaoguang.Improved Windowed Spectral-Peaks Polynomial Fitting Algorithm and Its Application in Power Harmonic Analysis[J].Transactions of China Electrotechnical Society,2011(10):8-15. |
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| Authors: | Wen He Teng Zhaosheng Li Fuhai Wang Yong Hu Xiaoguang |
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| Affiliation: | Wen He1,2 Teng Zhaosheng1 Li Fuhai1 Wang Yong1 Hu Xiaoguang2(1.Hunan University Changsha 410082 China 2.Beijing University of Aeronautics & Astronautics Beijing 100191 China) |
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| Abstract: | Windowed FFT algorithm is widely used for power harmonic analysis recently.However,there are some contradictions between the accuracy and computation burden in discrete spectral corrections.In this paper,the power harmonic analysis algorithm based on the least square method(LSM) and triangular self-convolution windows(TSCW) are proposed.Firstly,the signal is weighted by TSCW for reducing spectral leakage.Then,the polynomials for discrete spectral corrections,which are also adjustable by the computation accu... |
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| Keywords: | Least square method polynomial fitting power harmonic spectral correction harmonic analysis |
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