基于Hermite插值的非同步采样数据谐波计算方法

汪颖; 罗旭; 卫书满; 陈韵竹; 马晓阳

汪颖,罗旭,卫书满,陈韵竹,马晓阳.基于Hermite插值的非同步采样数据谐波计算方法[J].电测与仪表,2025,62(10):121-132.
WANG Ying,LUO Xu,WEI Shuman,CHEN Yunzhu,MA Xiaoyang.Harmonic calculation method for non-synchronous sampling data based on Hermite interpolation[J].Electrical Measurement & Instrumentation,2025,62(10):121-132.

基于Hermite插值的非同步采样数据谐波计算方法

Harmonic calculation method for non-synchronous sampling data based on Hermite interpolation

DOI：10.19753/j.issn1001-1390.2025.10.014

中文关键词: 电能质量谐波计算降噪基波周期计算准同步采样 Hermite插值

英文关键词:power quality, harmonic calculation, denoising, fundamental period calculation, quasi-synchronous sampling, Hermite interpolation

基金项目:国家自然科学基金资助项目（52077145）

作者中文名	作者英文名	单位
汪颖	WANG Ying	四川大学电气工程学院
罗旭	LUO Xu	四川大学电气工程学院
卫书满	WEI Shuman	中国葛洲坝集团机电建设有限公司
陈韵竹	CHEN Yunzhu	四川大学电气工程学院
马晓阳	MA Xiaoyang	四川大学电气工程学院

摘要点击次数: 33

中文摘要:

电能质量监测装置成本高昂，难以在配电网中大规模安装，导致节点谐波监测信息的不完备。使用智能融合终端等“替代的监测装置”(alternative monitor equipment, AME)进行谐波监测和计算，是解决配电网电能质量全网可观的必然出路。但是，由于AME非同步采样，存在谐波计算不准确的问题。文中提出一种适应于非同步采样数据的谐波计算方法，可应用于AME，实现配电网的广泛谐波监测。考虑AME传感精度低于专业电能质量监测终端，导致数据噪声较大的问题，提出基于奇异谱分析-关键点算法的降噪方法，减少数据处理中噪声的干扰。提出了基于变分模态分解和牛顿插值的基波周期计算方法，消除谐波分量的负面影响，实现高精度基波周期提取。提出了基于Hermite插值的准同步采样方法，克服了基于离散傅里叶变换进行谐波计算时的频谱泄漏和栅栏效应。在频率偏移和频率变化两个场景下，仿真验证了所提方法的有效性、准确性和适应性。

英文摘要:

The high cost of power quality monitoring makes it difficult to install them on a large scale in distribution network, resulting in incomplete information on nodal harmonic monitoring. The use of alternative monitor equipment (AME), such as intelligent fusion terminals, for harmonic monitoring and calculation is an inevitable way to solve the problem of network-wide observable power quality in distribution networks. However, due to the AME non-synchronous sampling, there is the problem of inaccurate harmonic calculation. This paper proposes a harmonic calculation method adapted to non-synchronous sampling data, which can be applied to AME to achieve extensive harmonic monitoring in distribution networks. Considering that the accuracy of AME sensing is lower than that of professional power quality monitoring terminals, resulting in significant data noise, a denoising method based on singular spectrum analysis on key point algorithm is proposed to reduce the interference of noise in data processing. A fundamental period calculation method based on variational mode decomposition and Newton interpolation is proposed to eliminate the negative effects of harmonic components and achieve high-precision fundamental period extraction. A quasi-synchronous sampling method based on Hermite interpolation is proposed to overcome the spectral leakage and fence effect when performing harmonic calculations based on the discrete Fourier transform. The simulation verifies the effectiveness, accuracy and adaptability of the proposed method under two scenarios of frequency offset and frequency variation.

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