文档名：基于子循环自适应串行交错时间匹配算法的油浸式变压器绕组瞬态温升计算
摘要：针对传统算法存在的步长调整及耦合点选择问题,该文提出基于子循环自适应串行交错(SCAS)的时间匹配算法.首先,在步长调整方面,通过加入自适应(ATS)-启发式(HTS)混合变步长算法,解决步长无法实时调整的问题;然后,针对耦合点选择问题,该文在传统常规串行交错(CSS)时间匹配算法及现有改进方案子循环常规串行交错(SCSS)的基础上,提出SCAS时间匹配算法,采用自适应方案确定计算时间窗及预定耦合点,并引入指数平滑法对其精度进行保证;最后,该文基于110kV油浸式电力变压器建立二维瞬态单分区分匝绕组模型,并将所提算法与其他传统方法进行对比分析.结果表明:在精度方面,与传统CSS算法相比SCAS算法的流场及温度场最大平均相对误差均不超过0.45%,在可接受误差范围内;在效率方面,SCAS算法总体计算效率较CSS算法提高了近20倍.同时,为了说明所提算法的工程价值,该文搭建基于110kV变压器绕组模型的温升实验平台,将SCAS时间匹配算法应用于该模型中,实验结果表明:在精度方面,SCAS算法与实验达到稳态时最大绝对误差为2.7K;在计算效率上,本文所提算法的计算效率较传统算法提升约46倍,计算步数约为传统的1/47,减少了计算冗余.
Abstract：Forthetime-matchingproblemoftwoormoremultiplephysicalfields,thetraditionalideagenerallyconsidersthatthephysicalfieldsaresolvedbycouplingwithfixedequaltimesteps.Thisdirectcouplingalgorithmisnamedconventionalserialstaggered(CSS),buttherearetwoobviousproblemsinthistimematchingmethod,namely,stepsizeadjustmentandcouplingpointselection.Therefore,thispaperproposesatime-matchingalgorithmbasedonSubcyclicadaptivestaggered(SCAS).Firstly,instepsizeadjustment,theAdaptiveTimeSteppingalgorithm(ATS)isadded,andthedifferenceofapproximatesolutionswithdifferentaccuracyisusedasthebasisfortimestepadjustment.Atthesametime,fornonlinearproblems,theHeuristictimesteppingmethod(HTS)iscombinedtosetthenumberofiterationsasthebasisfornonlineardiscrimination,whichsolvestheproblemthatthestepsizecannotbeadjustedinrealtimeunderstrongnonlinearproblems.Itcanobtainamoreappropriatestepsizeeachtimeaccordingtothechangingtrendofthephysicalfieldundertheallowableerror.TheintroductionoftheATS-HTShybridvariablestepsizemethodreducesthenumberofcomputingtimestepsgreatly.Secondly,fortheproblemofcouplingpointselection,thispaperproposesaSCAStime-matchingalgorithmbasedontheCSStime-matchingalgorithm,whichusesanadaptiveschemetodeterminethecalculationtimewindowandpredeterminedcouplingpointsandintroducesanexponentialsmoothingmethodtoensureitsaccuracy.Finally,toverifytheeffectivenessoftheproposedmethod,atwo-dimensionaltransientsingle-zonesplitturnwindingmodelisestablished.ComparedwiththetraditionalCSSalgorithm,intermsofaccuracy,theaveragerelativeerroroftheflowfieldoftheSCASalgorithmis0.25%,andtheaveragerelativeerrorofthetemperaturefieldis0.45%,whichiswithintheacceptableerrorrange.Intermsofefficiency,aftercombiningcouplingpointselectionandstepsizeadaptiveselection,theSCASalgorithmhasfurtherreducedthenumberofcouplingtimesandcomputingtimesteps,anditsoverallcomputingefficiencyisnearly20timeshigherthantheCSSalgorithm.Atthesametime,tofurtherillustratethevalueoftheproposedalgorithminengineeringpractice,thispaperhasbuiltatemperatureriseexperimentalplatformbasedonthe110kVtransformerwindingmodelandappliedtheSCAStimematchingalgorithmtotheheattransfermodel.ThecalculationandexperimentalresultsshowthatthemaximumabsoluteerrorbetweentheSCASalgorithmandtheexperimentwhenreachingthesteadystateoccursatthetemperaturemeasuringpointNo.4ofthe30-wirecakes,whichis2.7K,becausethetemperatureriseexperimentisaffectedbyseveraluncontrollablefactors.Therefore,theerroriswithintheacceptablerange.Thecomputationalefficiencyofthealgorithmproposedinthispaperisabout46timeshigherthanthatofthetraditionalalgorithm,andthenumberofcomputationalstepsisabout1/47ofthetraditionalalgorithm,whichgreatlyreducescomputationalredundancy.
作者：刘刚 郝世缘 胡万君 刘云鹏 李琳 Author：LiuGang HaoShiyuan HuWanjun LiuYunpeng LiLin
作者单位：华北电力大学河北省输变电设备安全防御重点实验室保定071003新能源电力系统国家重点实验室(华北电力大学)北京102206
刊名：电工技术学报
Journal：TransactionsofChinaElectrotechnicalSociety
年，卷(期)：2024, 39(4)
分类号：TM411
关键词：子循环自适应串行交错 混合变步长 二维瞬态流热耦合问题 快速计算方法 温升实验
Keywords：Sub-cyclicadaptivestaggered mixedvariabletimestep thermalcouplingproblemoftwodimensionaltransientflow fastcalculationmethod temperatureriseexperiment
机标分类号：TM411TM351TM244.2
在线出版日期：2024年3月5日
基金项目：国家重点研发计划基于子循环自适应串行交错时间匹配算法的油浸式变压器绕组瞬态温升计算[
期刊论文] 电工技术学报--2024, 39(4)刘刚 郝世缘 胡万君 刘云鹏 李琳针对传统算法存在的步长调整及耦合点选择问题,该文提出基于子循环自适应串行交错(SCAS)的时间匹配算法.首先,在步长调整方面,通过加入自适应(ATS)-启发式(HTS)混合变步长算法,解决步长无法实时调整的问题;然后,针对耦合...参考文献和引证文献
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