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323Vol．32No．320139JournalofSouth-CentralUniversityforNationalitiesNat．Sci．EditionSep．20132013-06-021975-、、E-mailtylzsr@163．comSBK2011218412011CDB27712114300722430074．．TP273A1672-4321201303-0072-05Multi-ObjectiveOptimalSchedulingofPumpStationsinTermofEnergyEfficiencyandAccumulativeＲunningTimeTangYuling12ZhengGuilin11SchoolofPowerandMechanicalEngineeringWhuhanUniversityWuhan430072China2CollegeofComputerScienceSouth-CentralUniversityforNationalitiesWuhan430074ChinaAbstractAmulti-objectiveoptimalschedulingapproachofpumpstationsisproposedinthispaperwiththepurposetogetbetterenergyefficiencyandreducethegapsbetweentheaccumulativerunningtimesofpumpunits．Anintakepumpstationofawatertreatmentplantistakenasacasestudywheretheconstraintsofthecorrespondingoptimizationproblemsareformulated．Particleswarmoptimizationtechniqueisfurtherproposedtosolvetheoptimizationproblems．Thesimulationresultsconvincethefeasibilityoftheproposedapproachwhichcanbalancethetwoobjectivesandsatisfytherequirementsoftheoptimizationofintakepumpstations．Keywordspumpstationoptimalschedulingtime-of-usetariffaccumulativerunningtimeparticleswarmoptimization“”．XiaXiaohuaPOET4、、1．．2．3、4．56．TOU．78．9．10-12．13、．．．．．．．．PSO．．11．1M+1M1．t0tfPE=∫tft0∑Mi=1Peitptuitdt．1PeitikWpt/kW·huiti．uit=10{2uit“1”it．．、Pe=CeHrQrηpηm3PekWHrmQrm3/hηpηm1415．3Ce=gρ3．6×106gρkg/m3．Q-H．Q-HH=H0－sQ24H0s．H=HT－WL+srQ25HTmHTsrWLm．QrHr45ηp=aQ2r+bQr+c6a、bc．13PE=∑Nj=1∑Mi=1CeHjriQjriηjpiηmipjujiTs7Ts=tf－t0NN．ujiPEminPEuji1≤j≤N1≤i≤M=∑Nj=1∑mi=1CeHjriQjriηjpiηmipjujiTs8subjecttoguji≤0．guji≤0．1．28．TeＲi=TbＲi+Ts∑Nj=1uji9TeＲiTbＲii．M+1M1．TB=n×tf－t0n．MM+1．M．DTDT=∑M－1i=1∑Mk=i+1|TeＲi－TeＲk|．10DT．DTminJ1=∑Nj=1∑mi=1CeHjriQjriηjpiηmipjujiTsminJ2=∑M－1i=1∑Mk=i+1|TeＲi－TeＲk|．11subjectto373guji≤0．．ΦPEDTminJuji1≤j≤N1≤i≤M=∑Nj=1∑mi=1CeHjriQjriηjpiηmipjujiTs+Φ∑M－1i=1∑Mk=i+1|TeＲi－TeＲk|12subjecttoguji≤0．Φ．Φ=0．0．22．1．3H=22．617－9．44×10－7Q2H=HT－WL+1．83×10－7Q2．HT15m．WL．a=－1．298×10－7b=0．0006597c=－0．04336．A=4000m24m．21．pt=p0ift∈08psift∈89∪1219∪2224ppift∈912∪1922{13psps=0．7/kW·hpppp=1．58pspopo=0．5ps．、24h24h．Ts=15minN=t0－tf/Ts=96．1LL≤LjCW≤HL1≤j≤N14LjCWLjCW=L0CW+Ts∑Nj=1∑jk=1Qkri－∑jk=1W()kCA15L0CWmWCm3/h．2∑Nj=1∑nk=1QjriujiTs≥∑Nj=1WjCTs．163uji∈01．172．21．8/“1”“0”0-1．Matlabbintprog．2．120-1．、161712．PSO12Ui=u1i1u1i2…u1in…uNi1uNi2…uNinTUin×N．U=U1U2…UPP．PSO12．iVi=Vi1Vi2…VinNTiPi=Pi1Pi2…PinNTPg=Pg1Pg2…PgnNT．Vi、PiPgn×N．Vk+1id=珚ωVkid+c1r1Pkid－Ukid+c2r2Pkgd－Ukid18Uk+1id=Ukid+Vkid19珚ωd=12…n×Ni=12…PkVkidc1c2r1r201．34732WLWC．1．ηm0．945HL=3．5mLL=0．6mL0CW0．8m．1Fig．1WCandWLforsimulationstudy2．P1、P2．2．2Fig．2SimulationresultofoptimalschedulingapproachofenergyefficiecncyPSO．PSOc1=c2=2珚ω20．珚ω=珚ωe珚ωs珚ω()e1/1+c·k/MaxIt20kMaxIt．珚ωe=1．0珚ωs=0．4c=10．P1、P2200h150h．Φ=0．0Φ=1．0Φ=3．03．P1、P2．3Fig．3Simulationresultofmulti-objectiveoptimalschedulingapproach3Φ=0．0P1、P2Φ=1．03．0P2P1．Φ=3．0P1、P2203．25h167．25h．50h36h．P1、P2P1、P2、P3．1．2．Φ573．1Tab．1OptimizationperformanceΦ=0．0Φ=1．0Φ=3．0/105m32．46402．47192．48862．4720/103kW·h3．21543．30393．32123．2861/1031．85761．89271．91491．8900/kW·h/m30．01300．01320．01330．0134//m30．00750．00770．00770．00764．．．PSO．．Φ．IPC．1XiaXZhangJ．ControlsystemsandenergyefficiencyfromthePOETperspectiveC//IFAC．ConferenceonControlMethodologiesandTechnologyforEnergyEfficiency．VilamouraIFAC2010．2ZhangJXiaXAlexanderD．DemandsideoptimalstrategyforvoluntaryloadsheddingC//IASTED．ThesecondIASTEDAfricaconferenceonpowerandenergysystem．GaboroneIASTED2008．3BaránBVonLückenCSoteloA．Multi-objectivepumpschedulingoptimisationusingevolutionarystrategiesJ．AdvancesinEngineeringSoftware．200536139-47．4BeckwithSPWongKP．AgeneticalgorithmapproachforelectricpumpschedulinginwatersupplysystemsC//IEEE．InternationalConferenceonEvolutionaryComputation．PerthIEEE1996．5MorenoMAPlanellsPCórcolesJIetal．DevelopmentofanewmethodologytoobtainthecharacteristicpumpcurvesthatminimizethetotalcostatpumpingstationsJ．BiosystemsEgineering2009102195-105．6MorenoSACarriónPAPlanellsPetal．MeasurementandimprovementoftheenergyefficiencyatpumpingstationsJ．BiosystemsEngineering2007984479-486．7LertpalangsuntiaNChanaCWMasonbＲetal．AtoolsetforconstructionofhybridintelligentforecastingsystemsapplicationforwaterdemandpredictionJ．ArtificialIntelligenceinEngineering199913121-42．8ZhouSLMcMahanTAWaltonAetal．ForecastingoperationaldemandforanurbanwatersupplyzoneJ．JournalofHydrology2002259189-202．9．J．2011446773-778．10ZhangHeXiaXiaohuaZhangJiangfeng．OptimalsizingandoperationofpumpingsystemstoachieveenergyefficiencyandloadshiftingJ．ElectricPowerSystemsＲesearch201286541-50．11vanStadenAdamJacobusZhangJiangfengXiaXiaohua．AmodelpredictivecontrolstrategyforloadshiftinginawaterpumpingschemewithmaximumdemandchargesJ．AppliedEnergy201188124785-4794．12TangYulingZhangShirong．AmodelpredictivecontrolapproachtooperationalefficiencyofintakepumpstationsC//ECE．InternationalConferenceonElectricalandControlEngineering．WuhanECE2010．13．-J．2011275156-159．14SychtaL．SystemforoptimisingpumpstationcontrolJ．WorldPumps200444945-48．15SychtaL．Systemforoptimisingpumpstationcontrol-Part-IIJ．WorldPumps200445432-34．16ShiYuhuiEberhartＲussell．Amodifiedparticleswarmoptimize