DC/DC变换器稳态运行谐波状态空间模型王建宇1,李先允1,颜云松2,陈永华2,杨城1(1.南京工程学院电力工程学院,南京211167;2.南瑞集团(国网电力科学研究院)有限公司,南京211106)摘要:针对传统的状态空间平均法在建模中损失纹波信息的缺陷,基于线性时间周期理论和谐波线性化理论,采用傅里叶分解法,建立DC/DC变换器稳态运行下的谐波状态空间模型,绘制DC/DC变换器的谐波等效电路,从频域角度描述拓扑电流和电压的映射过程;在输入侧加入小扰动,建立DC/DC变换器的谐波状态空间小扰动描述矩阵,对稳态谐波和扰动间谐波进行分析。仿真与实验结果表明,基于谐波状态空间的DC/DC电路建模方法具有极高的精确性,在未来多变流器的配网场景谐波分析中具有一定的工程运用价值。关键词:线性时间周期;谐波线性化;谐波状态空间;谐波等效电路;间谐波DOI:10.19753/j.issn1001-1390.2023.04.016中图分类号:TM46文献标识码:B文章编号:1001-1390(2023)04-0113-08Harmonicstatespacemodelforsteady-stateoperationofDC/DCconvertersWangJianyu1,LiXianyun1,YanYunsong2,ChenYonghua2,YangCheng1(1.SchoolofElectricPowerEngineering,NanjingInstituteofTechnology,Nanjing211167,China.2.NARIGroupCorporation(StateGridElectricPowerResearchInstitute)Co.,Ltd.,Nanjing211106,China)Abstract:Thetraditionalstatespaceaveragingmethodcancausethelossofrippleinformationinthemodeling.Toad-dressthisdefect,theFourierdecompositionmethodisusedtoestablishharmonicsundersteady-stateoperationofDC/DCconverterstatespacemodel,basedonthelineartimeperiodtheoryandharmoniclinearizationtheory.Todescribethemappingprocessoftopologycurrentandvoltageinfrequencydomain,theharmonicequivalentcircuitofDC/DCconverterisdrawn;toanalyzethesteady-stateharmonicsanddisturbanceinter-harmonics,asmalldisturbanceontheinputsideisaddedandadisturbancedescriptionmatrixofsmallharmonicstatespaceoftheDC/DCconverterisestablished.Accord-ingtotheresultsofsimulationandexperiment,theDC/DCcircuitmodelingmethodbasedontheharmonicstatespacehashighaccuracy,whichalsoinsurescertainfutureengineeringapplicationvalueintheharmonicanalysisofdistributionnet-workscenarioswithmultipleconverters.Keywords:lineart...