基于稀疏度优化的SA-OMP的谐波和间谐波检测方法

打开文本图片集

中图分类号：TN98-34 文献标识码：A 文章编号：1004-373X（2026）07-0139-06

SA-OMP harmonic and interharmonic detection based on the optimization of sparsity

WANG Manshu， ZHI Zeying， GAO Yunguang （SchoolofElectronicInformationEnginering，TaiyuanUniversityofScienceandTechnology，Taiyuan3o24，China）

Abstract：Inviewof theproblemsinthedenoising ofthe traditional matching tracking classalgorithms，aharmonicand interharonicsignaldetectionmethodwhichcombinessimulatedannealing（SA）algorithmandorthogonalmatchingpursuit （OMP）algorithm to optimize the sparsity k is proposed. The SA algorithm is introduced into the OMP to optimize the sparsity search proces.Bytherandomsearchandannealing mechanismofSA，theoptimal sparsityissearcheddynamically，which makesthe sparserepresentationreach a balance between reconstruction errorandsparsityunderaspecificsparse transform base andavodstheover-fiting（retainingtoomuchnoise）orunder-fiting（losingthekeycomponentsofthesignal）causedbyfixing the k value.The simulation shows thatthe proposedalgorithmcanaccuratelydetect each harmonic and interharmonic component undertheconditionofnoise，andthemaximumdetectionerorsofamplitudeandphaseareO.8%andO.O214rad，respectiely. The signalreconstructedbySA-OMPhasahighdegreeoffiting with theoriginalsignal.Incomparisonwiththoseof the traditionalOgorititsial-oeatisceasediicantlyothits（easuaeeor）Eeai errorare mprovedsomewhat，anditsMSEandrelativeerrorcanreachO.O41andO.18，respectivelyeveninthecaseoflowSNR of10dB.The proposed algorithm hasobvious denoising efect and is efectivefor harmonic and interharmonic detection.

Keywords： harmonic; interharmonic; SNR; compressive sensing; OMP algorithm; SA algorithm;SA-OMPalgorithm

0 引言

在现代电力系统中，随着电力电子设备的广泛应用，谐波污染问题日益严重，谐波的监测与治理也成为电能质量管理中的关键问题。（剩余6679字）