一种结合贝叶斯压缩感知和FFT的电能计量新算法

刘坚; 李世松; 赵伟; 黄松岭; 李松浓; 要文波; 侯兴哲

刘坚,李世松,赵伟,黄松岭,李松浓,要文波,侯兴哲.一种结合贝叶斯压缩感知和FFT的电能计量新算法[J].电测与仪表,2026,63(1):168-177.
LIU Jian,LI Shisong,ZHAO Wei,HUANG Songling,LI Songnong,YAO Wenbo,HOU Xingzhe.A new algorithm for power metering based on Bayesian compressive sensing and FFT[J].Electrical Measurement & Instrumentation,2026,63(1):168-177.

一种结合贝叶斯压缩感知和FFT的电能计量新算法

A new algorithm for power metering based on Bayesian compressive sensing and FFT

DOI：10.19753/j.issn1001-1390.2026.01.018

中文关键词: 电能计量谐波间谐波快速傅里叶变换压缩感知

英文关键词:power metering, harmonic, inter-harmonics, fast Fourier transform, compressive sensing

基金项目:国网重庆市电力公司重点研发项目（2021渝电科技12#）

作者中文名	作者英文名	单位
刘坚	LIU Jian	清华大学电机工程与应用电子技术系, 北京 100084;
李世松	LI Shisong	清华大学电机工程与应用电子技术系, 北京 100084;
赵伟	ZHAO Wei	清华大学电机工程与应用电子技术系, 北京 100084;
黄松岭	HUANG Songling	清华大学电机工程与应用电子技术系, 北京 100084;
李松浓	LI Songnong	国网重庆市电力公司电力科学研究院, 重庆 401123
要文波	YAO Wenbo	国网重庆市电力公司电力科学研究院, 重庆 401123
侯兴哲	HOU Xingzhe	国网重庆市电力公司电力科学研究院, 重庆 401123

摘要点击次数: 43

中文摘要:

电网电压、电流信号中由谐波和间谐波成分形成的电能，对不同电气设备造成的负面影响存在明显差异，故十分必要对二者进行分开计量。文章将电网电压、电流信号形成的电能细分为基波、谐波、间谐波以及交叉项等四类电能；调整由狄利克雷核函数构成测量矩阵的插值因子，提升经快速傅里叶变换所获电压、电流频谱的分辨率；再选用贝叶斯压缩感知重构算法，对电网电压、电流信号中所有不同频率成分的频率、幅值和初相角进行测算；进而对电压、电流各频率成分进行时域重构，再测算出四类分电能，并进行了仿真测试验证。结果表明，在增加计及间谐波成分场景下，所提出算法能够在未知电压、电流频率成分个数情况下提高频谱的分辨率，比现有常用算法有更高的测算准确性和更好的适用性。

英文摘要:

The presence of harmonic and inter-harmonic components in grid voltage and current signals produces energy that variably impacts different electrical devices, making it imperative to meter these components separately. This paper begins by categorizing the electrical energy generated from grid voltage and current signals into four distinct types, including fundamental, harmonic, inter-harmonic, and cross terms. Subsequently, the interpolation factor of the measurement matrix, constructed using the Dirichlet kernel, is adjusted to enhance the resolution of voltage and current spectra obtained through fast Fourier transform (FFT). Furthermore, a Bayesian compressive sensing (BCS) reconstruction algorithm is employed to estimate the frequency, amplitude, and initial phase angle of all different frequency components present in the grid voltage and current signals. This is followed by a time-domain reconstruction of each frequency component, leading to the calculation of the four types of partitioned electrical energies. Simulation tests are conducted to validate the performance. The results demonstrate that, in scenarios including inter-harmonic components, the proposed algorithm enhances spectral resolution without prior knowledge of the number of frequency components in voltage and current, thereby providing higher measurement accuracy and improved applicability compared to conventional methods commonly used in the field.

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