| 引用本文: | 王纲,李剑飞,陈隆道,杨仕友.一种基于频率补偿的改进插值谐波分析算法[J].电力系统保护与控制,2018,46(24):1-7.[点击复制] |
| WANG Gang,LI Jianfei,CHEN Longdao,YANG Shiyou.An improved interpolation harmonic analysis algorithm based on frequency compensation[J].Power System Protection and Control,2018,46(24):1-7[点击复制] |
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| 摘要: |
| 针对传统单峰谱插值谐波测量算法在非同步采样时由于频谱泄漏造成测量精度不足的问题，提出一种基于频率补偿的改进算法，并且分析传统插值算法的测量误差，改进了修正公式。该算法通过三个步骤实现，第一，基于汉宁窗插值校正频率，然后利用相对频偏进行频率补偿得到准同步化序列。第二，采用准同步化序列基于汉宁窗再次插值校正频率，将两次计算得到的相对频偏相加用于修正频率，进而减轻频谱泄漏的影响。最后，为了提高幅值和相位的测量精度，利用准同步化序列基于平顶窗直接估计，无需推导反演公式。仿真实验结果表明，该算法的测量精度相比于传统的单峰谱插值算法提升显著，在噪声环境下相比于四谱线插值、相位差算法，该算法具有更高的精度和抗噪性能，验证了所提出算法的有效性和准确性。 |
| 关键词: 频谱泄漏 插值 频率补偿 平顶窗 谐波 |
| DOI：10.7667/PSPC171846 |
| 投稿时间：2017-12-20修订日期：2018-04-09 |
| 基金项目:国家自然科学基金项目资助(51677163) |
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| An improved interpolation harmonic analysis algorithm based on frequency compensation |
| WANG Gang,LI Jianfei,CHEN Longdao,YANG Shiyou |
| (The Xinjiang Production and Construction Corps, Kuitun 833200, China;College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China) |
| Abstract: |
| It is difficult to perform high accurate harmonic detection with traditional signal peak spectral lines interpolation algorithm due to spectrum leakage under the non-synchronous sampling conditions. Aiming at this problem, an improved algorithm based on frequency shift is proposed, and the detection error of the traditional interpolation algorithm is analyzed, an improved rectification formula is deduced. The algorithm is implemented in three steps, firstly, the frequency of interpolation is rectified based on Hanning window function, then, relative frequency deviation is used to calculate quasi-synchronous sequence based on frequency shift. Secondly, the quasi-synchronous sequence is adopted to rectify frequency of interpolation based on Hanning window function again, two of the relative frequency deviations are added together for rectifying frequency, the spectrum leakage can be reduced by the method. Finally, in order to improve the detection accuracy of amplitude and phase, the quasi-synchronous sequence is adopted to calculate them directly based on the Flat-top window function, the inversion formula need not be deduced. Simulation and experimental results verify that improved algorithm has much higher detection accuracy than that of the traditional signal peak spectral lines interpolation algorithm, both of detection accuracy and anti-noise performance are better than four-spectral-line interpolation algorithm and phase difference correction algorithm in the noise environment. The effectiveness and accuracy of the algorithm is verified by the results of the simulation. This work is supported by National Natural Science Foundation of China (No. 51677163). |
| Key words: spectrum leakage interpolation frequency compensation Flat-top window harmonics |
