基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行

基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行一、本文概述Overviewofthisarticle隨著可再生能源的大規(guī)模接入和電力電子設(shè)備的廣泛應(yīng)用，主動配電網(wǎng)（ActiveDistributionNetwork,ADN）的運行和管理面臨著前所未有的挑戰(zhàn)。有功功率和無功功率的協(xié)調(diào)優(yōu)化是保障ADN安全、經(jīng)濟、高效運行的關(guān)鍵。本文提出了一種基于混合整數(shù)二階錐規(guī)劃（Mixed-IntegerSecond-OrderConeProgramming,MISOCP）的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行方法。該方法旨在通過綜合考慮ADN中的多種約束條件和運行目標，實現(xiàn)有功和無功功率的協(xié)同優(yōu)化，提高配電網(wǎng)的運行效率和穩(wěn)定性。Withthelarge-scaleintegrationofrenewableenergyandthewidespreadapplicationofpowerelectronicdevices,theoperationandmanagementofActiveDistributionNetwork(ADN)arefacingunprecedentedchallenges.Thecoordinatedoptimizationofactiveandreactivepoweristhekeytoensuringthesafe,economical,andefficientoperationofADN.ThisarticleproposesamultiperiodoptimizationoperationmethodforactiveandreactivepowercoordinationinactivedistributionnetworksbasedonMixedIntegerSecondOrderConeProgramming(MISOCP).ThismethodaimstoachievecollaborativeoptimizationofactiveandreactivepowerbycomprehensivelyconsideringvariousconstraintsandoperationalobjectivesinADN,andimprovetheoperationalefficiencyandstabilityofthedistributionnetwork.本文首先介紹了ADN的特點和面臨的挑戰(zhàn)，然后詳細闡述了有功無功協(xié)調(diào)優(yōu)化的重要性。接著，本文提出了基于MISOCP的優(yōu)化模型，該模型可以處理配電網(wǎng)中的非線性、非凸和非連續(xù)問題，為有功無功協(xié)調(diào)優(yōu)化提供了新的解決方案。在模型構(gòu)建過程中，本文充分考慮了ADN中的電源、負荷、線路等多種因素，以及它們之間的相互影響和制約關(guān)系。為了提高計算的效率和準確性，本文采用了多時段優(yōu)化的方法，將一天劃分為多個時段，分別進行優(yōu)化計算。ThisarticlefirstintroducesthecharacteristicsandchallengesofADN,andthenelaboratesindetailontheimportanceofactiveandreactivepowercoordinationoptimization.Furthermore,thisarticleproposesanoptimizationmodelbasedonMISOCP,whichcanhandlenonlinear,nonconvex,andnoncontinuousproblemsindistributionnetworks,providinganewsolutionforactiveandreactivepowercoordinationoptimization.Intheprocessofmodelconstruction,thisarticlefullyconsidersvariousfactorssuchaspowersupply,load,andlineinADN,aswellastheirmutualinfluenceandconstraintrelationships.Inordertoimprovetheefficiencyandaccuracyofcalculations,thisarticleadoptsamultitimeperiodoptimizationmethod,dividingadayintomultipletimeperiodsandconductingoptimizationcalculationsseparately.本文通過算例分析驗證了所提方法的有效性和實用性。結(jié)果表明，該方法可以顯著提高ADN的運行效率和穩(wěn)定性，降低網(wǎng)損和電壓波動，為配電網(wǎng)的優(yōu)化運行提供了新的思路和手段。本文的研究成果對于推動ADN的發(fā)展和應(yīng)用具有重要的理論和實踐意義。Thisarticleverifiestheeffectivenessandpracticalityoftheproposedmethodthroughcaseanalysis.TheresultsshowthatthismethodcansignificantlyimprovetheoperationalefficiencyandstabilityofADN,reducenetworklossesandvoltagefluctuations,andprovidenewideasandmeansfortheoptimizedoperationofdistributionnetworks.TheresearchresultsofthisarticlehaveimportanttheoreticalandpracticalsignificanceforpromotingthedevelopmentandapplicationofADN.二、主動配電網(wǎng)及其優(yōu)化運行Activedistributionnetworkanditsoptimizedoperation主動配電網(wǎng)（ActiveDistributionNetwork,ADN）是智能電網(wǎng)的重要組成部分，它集成了分布式電源（DistributedGeneration,DG）、儲能系統(tǒng)（EnergyStorageSystems,ESS）、可控負荷（ControllableLoads,CL）等多種主動管理資源，以實現(xiàn)配電網(wǎng)的主動控制、優(yōu)化運行和互動管理。與傳統(tǒng)的配電網(wǎng)相比，主動配電網(wǎng)具有更高的靈活性和可控性，能夠更好地適應(yīng)可再生能源的大規(guī)模接入和電力市場的變革。ActiveDistributionNetwork(ADN)isanimportantcomponentofsmartgrid,whichintegratesvariousactivemanagementresourcessuchasDistributedGeneration(DG),EnergyStorageSystems(ESS),andControlledLoad(CL)toachieveactivecontrol,optimizedoperation,andinteractivemanagementofdistributionnetwork.Comparedwithtraditionaldistributionnetworks,activedistributionnetworkshavehigherflexibilityandcontrollability,andcanbetteradapttothelarge-scaleintegrationofrenewableenergyandthechangesintheelectricitymarket.主動配電網(wǎng)的優(yōu)化運行是指通過合理的調(diào)度和控制策略，實現(xiàn)配電網(wǎng)運行的經(jīng)濟性、安全性和可靠性。優(yōu)化運行的目標是在滿足負荷需求的同時，最大化利用分布式電源，減少系統(tǒng)損耗，提高供電質(zhì)量，并考慮環(huán)境影響和可再生能源的消納。為了實現(xiàn)這一目標，需要采用先進的優(yōu)化算法和數(shù)學模型來求解復(fù)雜的配電網(wǎng)優(yōu)化問題。Theoptimizationoperationofactivedistributionnetworkreferstoachievingtheeconomy,safety,andreliabilityofdistributionnetworkoperationthroughreasonableschedulingandcontrolstrategies.Thegoalofoptimizingoperationistomaximizetheutilizationofdistributedpowersources,reducesystemlosses,improvepowersupplyquality,andconsiderenvironmentalimpactsandtheconsumptionofrenewableenergywhilemeetingloaddemands.Toachievethisgoal,advancedoptimizationalgorithmsandmathematicalmodelsareneededtosolvecomplexdistributionnetworkoptimizationproblems.混合整數(shù)二階錐規(guī)劃（Mixed-IntegerSecond-OrderConeProgramming,MISOCP）是一種有效的優(yōu)化方法，適用于解決主動配電網(wǎng)的優(yōu)化運行問題。該方法結(jié)合了整數(shù)規(guī)劃和二階錐規(guī)劃的優(yōu)點，能夠處理包含整數(shù)變量和非線性約束的優(yōu)化問題。在主動配電網(wǎng)的優(yōu)化運行中，MISOCP可以用于求解含有分布式電源、儲能系統(tǒng)和可控負荷的復(fù)雜優(yōu)化問題，實現(xiàn)有功無功的協(xié)調(diào)優(yōu)化和多時段優(yōu)化運行。MixedIntegerSecondOrderConeProgramming(MISOCP)isaneffectiveoptimizationmethodsuitableforsolvingtheoptimizationoperationproblemsofactivedistributionnetworks.Thismethodcombinestheadvantagesofintegerprogrammingandsecond-orderconeprogramming,andcanhandleoptimizationproblemscontainingintegervariablesandnonlinearconstraints.Intheoptimizationoperationofactivedistributionnetworks,MISOCPcanbeusedtosolvecomplexoptimizationproblemscontainingdistributedpowersources,energystoragesystems,andcontrollableloads,achievingcoordinatedoptimizationofactiveandreactivepowerandmultiperiodoptimizationoperation.通過MISOCP方法，可以綜合考慮配電網(wǎng)的經(jīng)濟性、安全性和可靠性，實現(xiàn)主動配電網(wǎng)的優(yōu)化運行。該方法可以為配電網(wǎng)的規(guī)劃和運行提供決策支持，促進可再生能源的消納和電力系統(tǒng)的可持續(xù)發(fā)展。未來，隨著可再生能源的大規(guī)模接入和電力市場的進一步開放，主動配電網(wǎng)的優(yōu)化運行將成為一個重要的研究方向，為構(gòu)建更加智能、高效和可持續(xù)的電力系統(tǒng)提供有力支撐。ThroughtheMISOCPmethod,theeconomy,safety,andreliabilityofthedistributionnetworkcanbecomprehensivelyconsideredtoachieveoptimizedoperationoftheactivedistributionnetwork.Thismethodcanprovidedecisionsupportfortheplanningandoperationofdistributionnetworks,promotetheconsumptionofrenewableenergy,andpromotethesustainabledevelopmentofpowersystems.Inthefuture,withthelarge-scaleintegrationofrenewableenergyandthefurtheropeningoftheelectricitymarket,theoptimizationandoperationofactivedistributionnetworkswillbecomeanimportantresearchdirection,providingstrongsupportforbuildingamoreintelligent,efficient,andsustainablepowersystem.三、混合整數(shù)二階錐規(guī)劃理論基礎(chǔ)Theoreticalfoundationsofmixedintegersecond-orderconeprogramming混合整數(shù)二階錐規(guī)劃（MixedIntegerSecond-OrderConeProgramming,MISOCP）是一種優(yōu)化技術(shù)，結(jié)合了整數(shù)規(guī)劃和二階錐規(guī)劃的特點，用于解決包含整數(shù)變量和非線性約束的優(yōu)化問題。在主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行中，MISOCP被廣泛應(yīng)用于處理電網(wǎng)的復(fù)雜約束和優(yōu)化目標。MixedIntegerSecondOrderConeProgramming(MISOCP)isanoptimizationtechniquethatcombinesthecharacteristicsofintegerprogrammingandsecond-orderconeprogrammingtosolveoptimizationproblemscontainingintegervariablesandnonlinearconstraints.MISOCPiswidelyusedinthemultiperiodoptimizationoperationofactiveandreactivepowercoordinationinactivedistributionnetworkstohandlecomplexconstraintsandoptimizationobjectivesofthepowergrid.二階錐規(guī)劃（Second-OrderConeProgramming,SOCP）是一種特殊的凸優(yōu)化問題，它包含一組線性等式和不等式約束，以及一個或多個二階錐約束。二階錐約束是非線性的，但它們具有一些重要的性質(zhì)，如凸性和可計算性，這使得二階錐規(guī)劃問題可以通過高效的算法進行求解。SecondOrderConeProgramming(SOCP)isaspecialconvexoptimizationproblemthatincludesasetoflinearequalityandinequalityconstraints,aswellasoneormoresecond-orderconeconstraints.Secondorderconeconstraintsarenonlinear,buttheyhavesomeimportantpropertiessuchasconvexityandcomputability,whichenableefficientalgorithmstosolvesecond-orderconeprogrammingproblems.在MISOCP中，整數(shù)變量用于表示配電網(wǎng)中的離散決策，如開關(guān)狀態(tài)、設(shè)備投切等。整數(shù)變量的引入增加了問題的復(fù)雜性，但也使得模型更加貼近實際電網(wǎng)的運行情況。同時，二階錐約束用于描述電網(wǎng)中的非線性關(guān)系，如電壓幅值和相角的關(guān)系、有功和無功功率的關(guān)系等。InMISOCP,integervariablesareusedtorepresentdiscretedecisionsindistributionnetworks,suchasswitchstatus,equipmentswitching,etc.Theintroductionofintegervariablesincreasesthecomplexityoftheproblem,butalsomakesthemodelmorecloselyrelatedtotheactualoperationofthepowergrid.Meanwhile,second-orderconeconstraintsareusedtodescribenonlinearrelationshipsinthepowergrid,suchastherelationshipbetweenvoltageamplitudeandphaseangle,andtherelationshipbetweenactiveandreactivepower.混合整數(shù)二階錐規(guī)劃問題的求解通常需要使用特殊的算法，如分支定界法、內(nèi)點法等。這些算法結(jié)合了整數(shù)規(guī)劃和二階錐規(guī)劃的特點，能夠在滿足整數(shù)約束和二階錐約束的同時，找到全局最優(yōu)解或近似最優(yōu)解。Thesolutionofmixedintegersecond-orderconeprogrammingproblemsusuallyrequirestheuseofspecialalgorithms,suchasbranchandboundmethods,interiorpointmethods,etc.Thesealgorithmscombinethecharacteristicsofintegerprogrammingandsecond-orderconeprogramming,andcanfindtheglobaloptimalsolutionorapproximateoptimalsolutionwhilesatisfyingbothintegerandsecond-orderconeconstraints.在主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行中，MISOCP被用于解決多時段內(nèi)的有功和無功功率協(xié)調(diào)優(yōu)化問題。通過構(gòu)建包含整數(shù)變量和二階錐約束的優(yōu)化模型，可以綜合考慮電網(wǎng)的運行成本、安全性、穩(wěn)定性等多個目標，實現(xiàn)電網(wǎng)的高效、經(jīng)濟運行。MISOCP還可以處理電網(wǎng)中的不確定性因素，如負荷預(yù)測誤差、可再生能源出力波動等，提高電網(wǎng)的魯棒性和可靠性。Inthemultiperiodoptimizationoperationofactiveandreactivepowercoordinationinactivedistributionnetworks,MISOCPisusedtosolvetheproblemofactiveandreactivepowercoordinationoptimizationinmultipleperiods.Byconstructinganoptimizationmodelthatincludesintegervariablesandsecond-orderconeconstraints,multipleobjectivessuchasoperatingcosts,safety,andstabilityofthepowergridcanbecomprehensivelyconsideredtoachieveefficientandeconomicaloperationofthepowergrid.MISOCPcanalsohandleuncertainfactorsinthepowergrid,suchasloadforecastingerrors,fluctuationsinrenewableenergyoutput,etc.,toimprovetherobustnessandreliabilityofthepowergrid.混合整數(shù)二階錐規(guī)劃是主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行的重要理論基礎(chǔ)。通過結(jié)合整數(shù)規(guī)劃和二階錐規(guī)劃的特點，MISOCP能夠處理電網(wǎng)中的復(fù)雜約束和優(yōu)化目標，為電網(wǎng)的高效、經(jīng)濟運行提供有力支持。Mixedintegersecond-orderconeprogrammingisanimportanttheoreticalbasisforactiveandreactivepowercoordinationandmultiperiodoptimizationoperationinactivedistributionnetworks.Bycombiningthecharacteristicsofintegerprogrammingandsecond-orderconeprogramming,MISOCPcanhandlecomplexconstraintsandoptimizationobjectivesinthepowergrid,providingstrongsupportfortheefficientandeconomicoperationofthepowergrid.四、基于混合整數(shù)二階錐規(guī)劃的優(yōu)化模型構(gòu)建Optimizationmodelconstructionbasedonmixedintegersecond-orderconeprogramming主動配電網(wǎng)的優(yōu)化運行涉及到多個時段的有功無功協(xié)調(diào)問題，因此，構(gòu)建一個能夠準確描述這一問題并求解的優(yōu)化模型至關(guān)重要。在本研究中，我們提出了一種基于混合整數(shù)二階錐規(guī)劃（MISOCP）的優(yōu)化模型，以處理主動配電網(wǎng)的多時段優(yōu)化運行問題。Theoptimizationoperationofactivedistributionnetworksinvolvesthecoordinationofactiveandreactivepowerinmultipletimeperiods.Therefore,itiscrucialtoconstructanoptimizationmodelthatcanaccuratelydescribeandsolvethisproblem.Inthisstudy,weproposeanoptimizationmodelbasedonmixedintegersecond-orderconeprogramming(MISOCP)toaddressthemultiperiodoptimizationoperationproblemofactivedistributionnetworks.該優(yōu)化模型的核心在于將配電網(wǎng)的運行約束和優(yōu)化目標轉(zhuǎn)化為數(shù)學表達式，并利用二階錐規(guī)劃的特性進行求解。我們定義了決策變量，包括各時段內(nèi)各節(jié)點的有功功率和無功功率注入、各開關(guān)的狀態(tài)等。然后，根據(jù)配電網(wǎng)的運行約束，如節(jié)點電壓約束、支路功率流約束、設(shè)備容量約束等，建立了相應(yīng)的數(shù)學不等式或等式約束。Thecoreofthisoptimizationmodelliesintransformingtheoperationalconstraintsandoptimizationobjectivesofthedistributionnetworkintomathematicalexpressions,andusingthecharacteristicsofsecond-orderconeprogrammingforsolving.Wedefineddecisionvariables,includingactiveandreactivepowerinjectionateachnodeduringeachtimeperiod,andthestatusofeachswitch.Then,basedontheoperationalconstraintsofthedistributionnetwork,suchasnodevoltageconstraints,branchpowerflowconstraints,equipmentcapacityconstraints,etc.,correspondingmathematicalinequalitiesorequationconstraintswereestablished.在目標函數(shù)的構(gòu)建上，我們綜合考慮了配電網(wǎng)的運行經(jīng)濟性、電壓質(zhì)量和可再生能源的消納等因素。具體來說，目標函數(shù)包括最小化網(wǎng)損、最小化電壓偏差、最大化可再生能源利用率等多個子目標。通過合理的權(quán)重分配和數(shù)學處理，我們將這些子目標整合為一個綜合目標函數(shù)，以指導(dǎo)優(yōu)化模型的求解。Intheconstructionoftheobjectivefunction,wecomprehensivelyconsiderfactorssuchastheoperationaleconomyofthedistributionnetwork,voltagequality,andtheconsumptionofrenewableenergy.Specifically,theobjectivefunctionincludesmultiplesubobjectivessuchasminimizingnetworkloss,minimizingvoltagedeviation,andmaximizingrenewableenergyutilization.Throughreasonableweightallocationandmathematicalprocessing,weintegratethesesubobjectivesintoacomprehensiveobjectivefunctiontoguidethesolutionoftheoptimizationmodel.在模型的求解過程中，我們采用了混合整數(shù)二階錐規(guī)劃方法。這是因為配電網(wǎng)中既存在連續(xù)變量（如有功功率、無功功率等），又存在整數(shù)變量（如開關(guān)狀態(tài)等）。混合整數(shù)規(guī)劃能夠同時處理這兩類變量，而二階錐規(guī)劃則能夠有效地處理配電網(wǎng)中的非線性約束和凸優(yōu)化問題。通過求解該優(yōu)化模型，我們可以得到各時段內(nèi)各節(jié)點的最優(yōu)功率注入和開關(guān)狀態(tài)，從而實現(xiàn)主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行。Intheprocessofsolvingthemodel,weusedamixedintegersecond-orderconeprogrammingmethod.Thisisbecausetherearebothcontinuousvariables(suchasactivepower,reactivepower,etc.)andintegervariables(suchasswitchstatus,etc.)inthedistributionnetwork.Mixedintegerprogrammingcanhandlebothtypesofvariablessimultaneously,whilesecond-orderconeprogrammingcaneffectivelyhandlenonlinearconstraintsandconvexoptimizationproblemsindistributionnetworks.Bysolvingthisoptimizationmodel,wecanobtaintheoptimalpowerinjectionandswitchstatusofeachnodeineachtimeperiod,therebyachievingmultitimeperiodoptimizationoperationofactiveandreactivepowercoordinationintheactivedistributionnetwork.基于混合整數(shù)二階錐規(guī)劃的優(yōu)化模型為主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行提供了一種有效的求解方法。該模型不僅能夠準確描述配電網(wǎng)的運行約束和優(yōu)化目標，還能夠通過合理的數(shù)學處理和求解方法得到最優(yōu)解，為配電網(wǎng)的優(yōu)化運行提供了有力支持。Theoptimizationmodelbasedonmixedintegersecond-orderconeprogrammingprovidesaneffectivesolutionmethodforthemultiperiodoptimizationoperationofactiveandreactivepowercoordinationinactivedistributionnetworks.Thismodelnotonlyaccuratelydescribestheoperationalconstraintsandoptimizationobjectivesofthedistributionnetwork,butalsoobtainstheoptimalsolutionthroughreasonablemathematicalprocessingandsolvingmethods,providingstrongsupportfortheoptimizedoperationofthedistributionnetwork.五、求解算法與實現(xiàn)SolvingAlgorithmandImplementation在求解主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行問題時，我們采用了一種基于混合整數(shù)二階錐規(guī)劃（MixedIntegerSecond-OrderConeProgramming,MISOCP）的求解算法。該算法結(jié)合了二階錐規(guī)劃的高效求解能力和混合整數(shù)規(guī)劃的靈活性，能夠有效地處理配電網(wǎng)中的復(fù)雜約束條件和優(yōu)化目標。Whensolvingthemultiperiodoptimizationproblemofactiveandreactivepowercoordinationinactivedistributionnetworks,weadoptedasolutionalgorithmbasedonMixedIntegerSecondOrderConeProgramming(MISOCP).Thisalgorithmcombinestheefficientsolvingabilityofsecond-orderconeprogrammingwiththeflexibilityofmixedintegerprogramming,andcaneffectivelyhandlecomplexconstraintsandoptimizationobjectivesindistributionnetworks.我們將主動配電網(wǎng)的有功無功協(xié)調(diào)多時段優(yōu)化運行問題建模為一個MISOCP問題。在該模型中，我們定義了包括節(jié)點電壓、有功功率和無功功率在內(nèi)的決策變量，并建立了包括功率平衡、電壓約束、線路容量約束等在內(nèi)的約束條件。同時，我們還考慮了配電網(wǎng)中的可再生能源接入和負荷的不確定性，將這些因素作為隨機變量引入到模型中。WewillmodeltheactiveandreactivepowercoordinationmultiperiodoptimizationoperationproblemoftheactivedistributionnetworkasaMISOCPproblem.Inthismodel,wedefineddecisionvariablesincludingnodevoltage,activepower,andreactivepower,andestablishedconstraintconditionsincludingpowerbalance,voltageconstraints,andlinecapacityconstraints.Atthesametime,wealsoconsideredtheuncertaintyofrenewableenergyaccessandloadinthedistributionnetwork,andintroducedthesefactorsasrandomvariablesintothemodel.為了求解該MISOCP問題，我們采用了一種基于內(nèi)點法的求解器，如MATLAB的CPLE優(yōu)化工具箱。該求解器能夠有效地處理大規(guī)模、復(fù)雜的優(yōu)化問題，并且具有很高的計算效率和精度。在求解過程中，我們還采用了啟發(fā)式算法和預(yù)處理技術(shù)，以提高求解速度和求解質(zhì)量。TosolvetheMISOCPproblem,weemployedaninteriorpointmethodbasedsolver,suchastheCPLEoptimizationtoolboxinMATLAB.Thissolvercaneffectivelyhandlelarge-scaleandcomplexoptimizationproblems,andhashighcomputationalefficiencyandaccuracy.Inthesolvingprocess,wealsoadoptedheuristicalgorithmsandpreprocessingtechniquestoimprovethesolvingspeedandquality.在算法實現(xiàn)方面，我們首先將主動配電網(wǎng)的拓撲結(jié)構(gòu)和參數(shù)信息輸入到優(yōu)化模型中，然后利用求解器進行求解。在求解過程中，我們根據(jù)配電網(wǎng)的運行狀態(tài)和需求，動態(tài)調(diào)整決策變量的取值，以實現(xiàn)有功無功的協(xié)調(diào)優(yōu)化。同時，我們還通過迭代計算和調(diào)整參數(shù)，逐步逼近最優(yōu)解。Intermsofalgorithmimplementation,wefirstinputthetopologyandparameterinformationoftheactivedistributionnetworkintotheoptimizationmodel,andthenuseasolvertosolveit.Duringthesolvingprocess,wedynamicallyadjustthevaluesofdecisionvariablesbasedontheoperatingstatusandrequirementsofthedistributionnetwork,inordertoachievecoordinatedoptimizationofactiveandreactivepower.Meanwhile,wealsoiterativelycalculateandadjustparameterstograduallyapproachtheoptimalsolution.最終，我們得到了主動配電網(wǎng)的多時段優(yōu)化運行方案，包括各節(jié)點的電壓、有功功率和無功功率等關(guān)鍵參數(shù)。該方案能夠在滿足配電網(wǎng)安全穩(wěn)定運行的前提下，最大化地利用可再生能源，提高配電網(wǎng)的供電可靠性和經(jīng)濟性。Intheend,weobtainedamultiperiodoptimizationoperationplanfortheactivedistributionnetwork,includingkeyparameterssuchasvoltage,activepower,andreactivepowerateachnode.Thisschemecanmaximizetheutilizationofrenewableenergywhileensuringthesafeandstableoperationofthedistributionnetwork,andimprovethereliabilityandeconomyofpowersupplyinthedistributionnetwork.以上就是我們基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行求解算法與實現(xiàn)的主要內(nèi)容。通過該算法，我們能夠為配電網(wǎng)的運行調(diào)度提供科學依據(jù)和技術(shù)支持，推動配電網(wǎng)向更加智能、高效、可持續(xù)的方向發(fā)展。Theaboveisthemaincontentofouractiveandreactivepowercoordinationmultiperiodoptimizationoperationsolutionalgorithmandimplementationbasedonmixedintegersecond-orderconeprogrammingforactivedistributionnetworks.Throughthisalgorithm,wecanprovidescientificbasisandtechnicalsupportfortheoperationandschedulingofthedistributionnetwork,andpromotethedevelopmentofthedistributionnetworktowardsamoreintelligent,efficient,andsustainabledirection.六、案例分析Caseanalysis為了驗證本文提出的基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行方法的有效性，我們選取了一個典型的城市主動配電網(wǎng)進行案例分析。該配電網(wǎng)包含多種類型的分布式電源（如光伏、風電等）、儲能裝置、以及可調(diào)節(jié)的無功補償設(shè)備。Inordertoverifytheeffectivenessoftheactiveandreactivepowercoordinationmultiperiodoptimizationoperationmethodbasedonmixedintegersecond-orderconeprogrammingproposedinthisarticle,weselectedatypicalurbanactivedistributionnetworkforcaseanalysis.Thisdistributionnetworkincludesvarioustypesofdistributedpowersources(suchasphotovoltaic,windpower,etc.),energystoragedevices,andadjustablereactivepowercompensationdevices.我們收集了該配電網(wǎng)的歷史運行數(shù)據(jù)，包括負荷曲線、分布式電源出力情況、電價信息等。然后，根據(jù)這些數(shù)據(jù)，我們設(shè)定了優(yōu)化運行的目標函數(shù)，即最小化配電網(wǎng)的總運行成本，同時考慮到電壓偏差、線路功率損耗等約束條件。Wehavecollectedhistoricaloperationaldataofthedistributionnetwork,includingloadcurves,distributedpowergenerationoutput,electricitypriceinformation,etc.Then,basedonthesedata,wesetanobjectivefunctionforoptimizingoperation,whichistominimizethetotaloperatingcostofthedistributionnetwork,whileconsideringconstraintssuchasvoltagedeviationandlinepowerloss.在優(yōu)化過程中，我們采用了混合整數(shù)二階錐規(guī)劃算法，對配電網(wǎng)的有功無功功率進行了協(xié)調(diào)優(yōu)化。通過對不同時段進行優(yōu)化計算，我們得到了每個時段內(nèi)各分布式電源的有功出力、儲能裝置的充放電策略以及無功補償設(shè)備的調(diào)節(jié)量。Intheoptimizationprocess,weadoptedamixedintegersecond-orderconeprogrammingalgorithmtocoordinateandoptimizetheactiveandreactivepowerofthedistributionnetwork.Byoptimizingcalculationsfordifferenttimeperiods,weobtainedtheactiveoutputofeachdistributedpowersource,thecharginganddischargingstrategiesofenergystoragedevices,andtheadjustmentamountofreactivepowercompensationequipmentineachtimeperiod.案例分析結(jié)果顯示，采用本文提出的優(yōu)化方法后，配電網(wǎng)的總運行成本得到了顯著降低。電壓偏差和線路功率損耗也得到了有效控制，提高了配電網(wǎng)的供電質(zhì)量和運行效率。通過對比不同優(yōu)化策略的效果，我們發(fā)現(xiàn)本文提出的方法在保證優(yōu)化效果的還具有較好的計算效率和魯棒性。Thecasestudyresultsshowthatafteradoptingtheoptimizationmethodproposedinthisarticle,thetotaloperatingcostofthedistributionnetworkhasbeensignificantlyreduced.Voltagedeviationandlinepowerlosshavealsobeeneffectivelycontrolled,improvingthepowersupplyqualityandoperationalefficiencyofthedistributionnetwork.Bycomparingtheeffectsofdifferentoptimizationstrategies,wefoundthatthemethodproposedinthispaperhasgoodcomputationalefficiencyandrobustnesswhileensuringoptimizationresults.本文提出的基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行方法在實際應(yīng)用中具有較好的效果和應(yīng)用前景。未來，我們將進一步深入研究該方法的優(yōu)化性能和應(yīng)用范圍，為配電網(wǎng)的優(yōu)化運行提供更加有效的解決方案。Theactiveandreactivepowercoordinationmultiperiodoptimizationoperationmethodbasedonmixedintegersecond-orderconeprogrammingproposedinthisarticlehasgoodresultsandapplicationprospectsinpracticalapplications.Inthefuture,wewillfurtherinvestigatetheoptimizationperformanceandapplicationscopeofthismethod,providingmoreeffectivesolutionsfortheoptimizationoperationofdistributionnetworks.七、結(jié)論與展望ConclusionandOutlook本研究深入探討了基于混合整數(shù)二階錐規(guī)劃的主動配電網(wǎng)有功無功協(xié)調(diào)多時段優(yōu)化運行問題。通過對主動配電網(wǎng)的建模和分析，結(jié)合混合整數(shù)二階錐規(guī)劃方法，實現(xiàn)了對配電網(wǎng)有功無功功率的協(xié)調(diào)優(yōu)化，有效提高了配電網(wǎng)的運行效率和穩(wěn)定性。研究結(jié)果表明，該優(yōu)化方法能夠顯著降低配電網(wǎng)的網(wǎng)損，提升電壓質(zhì)量，并在多時段內(nèi)實現(xiàn)資源的合理分配。該方法還能夠適應(yīng)可再生能源接入、負荷變化等多種復(fù)雜情況，具有較強的實際應(yīng)用價值。Thisstudydelvesintothemultiperiodoptimizationoperationproblemofactiveandreactivepowercoordinationinactivedistributionnetworksbasedonmixedintegersecond-orderconeprogramming.Bymodelingandanalyzingtheactivedistributionnetwork,combinedwiththemixedintegersecond-orderconeprogrammingmethod,thecoordinatedoptimizationofactiveandreactivepowerinthedistributionnetworkhasbeenachieved,effectivelyimprovingtheoperationalefficiencyandstabilityofthedistributionnetwork.Theresearchresultsindicatethatthisoptimizationmethodcansignificantlyreducethenetworklosso