基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法
文档名：基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法
摘要：现代有源配电网呈现复杂多变、多时间尺度的特征,采用单一仿真速率难以同时兼顾计算效率与精度,对此该文提出基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法.首先,构建系统状态空间矩阵,并基于状态矩阵特征值的量级将系统拆分为多个动态特性差异的子系统,通过将系统的状态矩阵进行分块等效,实现子区域在小步长时刻的独立仿真解算与在大步长时刻的等效补偿,在保证仿真精度的基础上大幅降低了系统仿真规模;然后,针对各区域间数据交互不同步问题,通过倍率步长相量法分析线性插值误差产生原理及主要影响因素,并提出基于二阶泰勒展开式的多步自适应插值仿真算法,可以根据系统频率与仿真步长需求调节相关插值参数,显著降低插值误差;最后,采用改进型IEEE123节点配电网算例,通过分区等值/插值计算与仿真结果的对比,验证了所提多速率并行仿真方法的可行性与有效性.
Abstract：Withtherapiddevelopmentofpowerelectronicstechnologyandincreasingpenetrationofdistributedgenerations,modernactivedistributionnetworksexhibitcomplexdynamiccharacteristicsduetothemultipletimescalesofsystemoperation,whichposeschallengestothesimultaneousdemandofcomputationalefficiencyandaccuracyintheconventionalsimulationmethodwithasinglesimulation-rate.Thispaperproposesamulti-rateparallelsimulationmethodbasedonthecharacteristicmatrixpartitionequivalenceandadaptiveinterpolationswitching.Firstly,astatespacematrixisconstructedforthewholeactivedistributedsystem,andthesystemisdividedintomultiplesubsystemswithdifferentdynamiccharacteristicsbasedonthemagnitudeoftheeigenvaluesofthestatematrixandtheircorrespondingnaturalfrequencies.Theiterativecomputationofthehigh-speedsubsystemisequivalentlycalculatedwithinacertainperiodoftimethroughbinomialexpansionandmultidimensionalmatrixsummationformulas,andthentheblockequivalenceofthesystem'sstatematrixisachieved.Thismethodtransformstheoriginalfull-regionstatequantityiterativecomputationintotheindependentsimulationsolutionsforsubregionsatsmallstepsizesandequivalentcompensationatlargestepsizes,simplifyingtheoriginalhigh-ordermatrixiterativecomputationtothelow-ordermatrixiterativecomputation,therebysignificantlyreducingthesimulationcomplexitywhileensuringsimulationaccuracy.Fortheproblemofasynchronousdatainteractionbetweenregions,theerrorgenerationprincipleandmaininfluencingfactorsofthetraditionallinearinterpolationmethodareanalyzedthroughthemagnificationsteplengthvectormethod.Basedonthesecond-orderTaylorexpansion,theinterpolationalgorithmisimprovedbyintroducingundeterminedcoefficients.Amulti-stepadaptiveinterpolationsimulationalgorithmisproposed,whichcanadjustrelevantinterpolationparametersaccordingtothesystemfrequencyandsimulationsteplengthrequirements,significantlyreducinginterpolationerrors.Finally,usingtheimprovedIEEE123nodedistributionnetworkexample,thefeasibilityandeffectivenessoftheproposedmulti-rateparallelsimulationmethodareverifiedthroughthecomparisonofpartitionequivalence/interpolationcalculationsandsimulationresults.Thespecificinnovationsofthisarticleareasfollows:Basedonthediscretestatespacematrix,thesystemisconsideredasamultiple-ratecounterpartduetodifferentdynamiccharacteristics,andthentheinfluenceofcouplingbetweenfastandslowsystemregionsontheaccuracyofmulti-ratesimulationisevaluatedthroughdiagonalizingthematrix.Theequivalentdecouplingofthepartitionedsubsystemmodelsisimplementedtoachieveindependentresolutionofsubregionsinsmallstepsandequivalentcompensationinlargesteps,significantlyreducingthecomputationalloadwhileensuringsimulationaccuracy.Fortheproblemofasynchronousdatainteractioninmulti-rateregions,theerrorcausedbytheconventionallinearinterpolationmethodsareanalyzedbyusingthemagnificationsteplengthvectormethod,andtherelationshipsbetweentheerrorandthesystemfrequencyandsteplengtharealsoderived.Basedonthesecond-orderTaylorexpansion,amulti-ratemulti-stepadaptiveinterpolationalgorithmisproposed,whichadjuststheinterpolationalgorithmparametersaccordingtothesimulationrequirementsforthefirsttimetomeettheminimumerrorcondition,andperformsoptimalswitchingamongmultipleinterpolationalgorithmstoimprovetheinter-regioninteractioncoordinationandsimulationaccuracy.Throughsimulationcomparison,thefollowingconclusionscanbedrawn:(1)Thismethodevaluatestheimpactoffastandslowpartitioncouplingontheaccuracyofmultiratesimulationnumericalvalues,anddecouplesthesubsystemmodelequivalentlytoachieveindependentsolutionofthesubregioninsmallstepsandequivalentcompensationinlargesteps,reducingtheorderofthestateiterationmatrixduringsimulationandsignificantlyimprovingefficiencywhileensuringcomputationalaccuracy.(2)Onthebasisofanalyzingtheprincipleandinfluencingfactorsoflinearinterpolationerrors,anadaptiveinterpolationswitchingsimulationalgorithmisproposed.Relevantinterpolationparametersareadjustedaccordingtothesystemfrequencyandsimulationstepsizerequirements,andinterpolationalgorithmoptimizationiscarriedouttoimprovetheaccuracyandstabilityofparallelsimulation.
作者：楼冠男 蒋啸宇 杨志淳 顾伟 杨帆 Author：LouGuannan JiangXiaoyu YangZhichun GuWei YangFan
作者单位：东南大学电气工程学院南京210096国网湖北省电力有限公司电力科学研究院武汉430074
刊名：电工技术学报 ISTICEIPKU
Journal：TransactionsofChinaElectrotechnicalSociety
年，卷(期)：2024, 39(11)
分类号：TM743
关键词：有源配电网多速率并行仿真状态空间方程等效模型自适应插值
Keywords：Activedistributionnetworkmulti-rateparallelsimulationstatespaceequationequivalentmodeladaptiveinterpolationalgorithm
机标分类号：TP391.41TM614TM715
在线出版日期：2024年6月18日
基金项目：国家电网有限公司总部科技项目基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法[
期刊论文]电工技术学报--2024, 39(11)楼冠男蒋啸宇杨志淳顾伟杨帆现代有源配电网呈现复杂多变、多时间尺度的特征,采用单一仿真速率难以同时兼顾计算效率与精度,对此该文提出基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法.首先,构建系统状态空间矩阵,并基于状态...参考文献和引证文献
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基于特征矩阵分区等值和自适应插值切换的有源配电网多速率并行仿真方法.pdf
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