电测与仪表2025，Vol.62Issue(11)：16-25,10.DOI:10.19753/j.issn1001-1390.2025.11.002
一种计及间谐波影响的电能测算新方法
A new method for electric energy measurement considering the influence of interharmonic
摘要
Abstract
Among existing mathematical models of electric energy measurement,either the full electric energy is calculated,or the fundamental active electric energy is conducted,or the fundamental and integer harmonic compo-nents of electric energy are separately determined.An electric energy measurement mathematical model that can fully take into account the influence of inter-harmonics is not yet well developed.In this paper,matrix pencil and singular value decomposition algorithm is used.After sampling the grid voltage and current signals,the matrix pen-cil algorithm is used to extract the characteristic frequency components,amplitudes,and initial phases.Then,the mathematical model of electric energy formed by the voltage and current of any two different frequency components is derived.The relevant electrical parameter information is substituted into the mathematical model,and the funda-mental,harmonic,inter-harmonic and other electric energy components are obtained.The proposed algorithm is verified by numerical simulation tests.It is shown that in order to measure electric energy with high accuracy,the influence of inter-harmonics should be fully considered.The proposed new method of electric energy measurement has advantages over the FFT-based electric energy measurement algorithm.关键词
间谐波/电能计量/相量测量/矩阵束算法/奇异值分解Key words
interharmonic/electric energy measurement/phasor measurement/matrix pencil algorithm/singular value decomposition分类
动力与电气工程引用本文复制引用
赵东芳,刘坚,李雪城,靳阳,刘恒,李世松..一种计及间谐波影响的电能测算新方法[J].电测与仪表,2025,62(11):16-25,10.基金项目
国家电网公司科技项目(5700-202211214A-1-1-ZN) （5700-202211214A-1-1-ZN）
