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DesignofVariableFrequencySpeedControlSystemBaseOnPLCAndFuzzyAlgorithmMing-junYAN1aShao-fengYAN1LiaoningRailwayVocationalandTechnologicalCollege,Jinzhou121000,China2FacultyofMechanicalEngineering&Automation,LiaoningUniversityofTechnology,Jinzhou,121001,China;E-mail:yanshaofeng1963@163.com;Keyword:PLC;fuzzyalgorithm;variablefrequencyspeedcontrol;closedloopcontrolAbstract:Aimingatacmotorclosed-loopcontroldifficult,afrequencyconversionsystemwasdesignedbaseonPLCandfuzzyalgorithm.ThispaperdealswithaPLCandfrequencyconvertercontroleACinductionmotormethod,aswellasconstructedtwo-dimensionalfuzzycontrollerbyPLC,realizethedynamiccontrolofnonlinearsystems,avoidingthecomplexityofmodeling,improvethesystemstabilityandanti-jammingcapability.On-sitetestingshowsthatthissystemhasahighintelligenceandbetterrobustness,canfrequencycontrolofmotorspeedaccurately.IntroductionAcinductionmotorischeap,easymaintenance,andsuitableforthebadenvironmentinuse.Butitisdifficulttodefinemathematicalmodeloftheacmotor,andthecalculationiscomplicated.Combiningwiththevariablefrequencyspeedclosed-loopcontrol,thefuzzycontrolsystembasedonPLCisputforwardinthepaper.Theadvantageisthatjustaccordingtothecontrolexperienceandbyusingfuzzyinferenceansatisfactorycontroleffecttononlinearobjectcanbegot.thesolutionisnotsuresystemoftheeffectiveway.itisaneffectivewaytosolveuncertainsystem.SystemconfigurationThedesignusesPLCandinvertertoadjustacinductionmotorspeed.ThesubstractionofthesettingspeedandtheactualspeedgotfromPLCcontrolmodulefeedbackmakesvelocityerror,thencontrolledvariablecanbegotthroughcalculatingbyPLC.Toachievethepurposeofcontrollingthemotorspeed,thecontrolledvariableshouldbepassedtothefrequenceconverter,whichdrivesacmotor,throughRS-485connector.Thesystemstabilityandanti-jammingabilityareimproved,asusingRS-485signalsdonotneedtobeconvertedbyD/Aconverter.Acmotorusesencodertomeasurespeed,whichovercomesthedeadzoneandnonlinearzonephenomenonthatusuallyexistedbefore,andmeanwhilereducesthevolumeanderror.Systemcompositionasshowninfigure1.Fig.1SystemCompositionThedesignoffuzzycontrollerThestructuredesignofthefuzzycontrollerWith2-dfuzzycontrollerandtheerroranderrorrateofthecontrolledvariablesasinput,thesystemputoutacontrolvariable.Becauseinthecontrolsystemfeedbacksoftheerrorandtheerrorratearedealtatthesametime,thesystemstabilityisensuredandoscillationphenomena[1,2]areprevent.Thefuzzycontrolstructurediagramisshowninfigure2.AdvancedMaterialsResearchVols562-564(2012)pp1931-1934Online:2012-08-30©(2012)TransTechPublications,Switzerlanddoi:10.4028/(ID:121.22.24.8,NortheasternUniversity,Shenyang,China-24/05/15,11:34:35)Fig.2Fuzzycontrolstructureprinciplediagrame(t)andec(t)isseparatelymeaningaccurateoffsetvalueanddeviationrate.Eistheobfuscationofe(t)andECistheobfuscationofec(t).Uisobfuscationoutputafterreasoning.u(t)isaccuratedefuzzificationoutput.obfuscationalgorithmandtherulesErrorfuzzysetandErrorratefuzzysetareselectingsevenelements[5],thatis{NB,NM,NS,0,PS,PM,PB}.Soasthefuzzyoutput.Accordingtothemanualcontroldataandalotofexploratoryrepeatedmanualadjustments,thebasicdomainofthespeeddeviation(e)canbedeterminedas[-8m/s,+8m/s],andthebasicdomainofthedeviation(ec)canbedeterminedas[-5m/s2,+5m/s2].Inordertorealizebycomputereasily,differencescheme[6,7]isadoptedindissociation.()()VkVke−=(2-1)()tkekekec)1()(−−=(2-2)ForVisexpectedspeed.InfuzzycalculationthevalueofeandecmustbetransformedintotheMoHuLundomainofthefuzzycontrollerbyitsquantificationfactors.Quantificationfactorscanbegotasfollowformula:+−−−=2)(**βααβeeabki(2-3)For[]βα,isactualdomain;[]ba,isbasicdomain.ComprehensivelyconsideringtheconcisenessofthePLCprogrammingalgorithmandthegeneralityinpracticaluse,thetrianglemembershipfunctionsareadopted.()[]()()≤−−≤−−∉=aubauabuaauacauA,b1,b1,,0µ(2-4)Fuzzycontrolrulesareestablishedbasedonexperienceinduction,namelybasedonoperationexperienceandnecessaryreasoning,sorting,refining,thefuzzycontrolrulesareestablished.Correspondingto2-dfuzzycontroller,aseriesoffuzzycontrolstatementscanbegot.ItsformisifE=XandEC=YthenU=Z.Suchas:ifE=PBandEC=NSthenU=PB;ifE=NSandEC=PSthenU=NS;……………………………………1932MaterialsEngineeringandAutomaticControlDefuzzificationandtheestablishmentoffuzzycontrollerlook-uptableDefuzzificationisrealizedbyusingweightedaveragemethod,whichiswidelyusedamongfuzzyalgorithmicapproaches.Theweightedaveragemethodformulaisasfollows:()()jUJjUµµ∑•∑=*u(2-5)ForlUrepresentseachfuzzysubsetsoutput;()jUwjµandjwseparatelyrepresentsMembershipFunctionsanditsvalues;*urepresentsaccurateoutputvalues.Relativetothediscretizationformofthefuzzyoutputvector,itsfuzzyoutputsubsetisexpressedasfollows:654561312321+++++−+−+−=µµµµµU(2-6)Relativetothediscretizationformofthefuzzyoutputvector,thecomputingmethodofdefuzzificationcanbeexpressedasfollows:()()()()()[]∑=+×++×++−×+−×+−×=1311312321*65456iluµµµµµ

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