适用于智能电网保护隐私的多维多子集数据聚合方案

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关键词：多维多子集；数据聚合；隐私保护；EIGamal同态加密；智能电网中图分类号：TP309 文献标志码：A 文章编号：1001-3695（2026）01-032-0263-08doi：10.19734/j. issn. 1001-3695.2025.05.0189

Privacy-preserving multi-dimensional and multi-subset data aggregation scheme for smart grids

Xiao Xidanab，Deng Lunzhib，e†，Li Zejiab，c （a.SchoolofBigData&ComputerScience，b.KeyLboratoryofIforationSecurityTechnologyofGuizouHgherEducationIstitutios，c. School ofMathematical Sciences，Guizhou Normal University，Guiyang55Oo25，China）

Abstract：Toaddress theriskof privacyleakageduringuserdatacolectioninsmart grids，thisstudy investigatedamultidimensionalandmulti-subsetdataaggregationmechanism.Buildingontheobservationthatexistingschemes generalllack supportformultidimensioalagregationandincurhighomputationalcosts，thispaperproposedaprivacy-preservingmultidiensionaland multi-subset dataaggregationscheme（PPMS-DA）thatleveragedaditivehomomorphic ElGamal encryption.The scheme integratedsignatureverificationanduser groupingtoperform secureagregationwithoutrelyingonanytrusted hird party.Securityanalysis under therandomoraclemodel demonstrates thattheschemeachieves ciphertext indistinguishability andsignatureuforgeability，fectivelyresistingcollusionatacksbetweenthecontrolcenterandhegateway.Underxperimentalsetings involvingvarying numbersofusersanddatadimensions，erformanceevaluationshowsthat，comparedwiththe most efficient of five mainstream schemes ，the proposed approach reduces computational overhead by 18.84% at the gateway side and 24. 55% atthe control center side，without employing expensive pairing operations.The results indicate that the scheme ofers strong practicality and scalability for large-scale and resource-constrained smart grid environments.

KeyWords：multi-dimensional andmulti-subset；dataaggregation；privacypreserving；ElGamalhomomorphicencryption; smart grid

0 引言

随着电力系统智能化的不断推进，智能电网已成为现代能源基础设施的重要组成部分。（剩余20723字）