搜索
23120062ModernElectricPowerVol123No11Feb12006:100722322(2006)0120034206:A:TM7111,1,2,1,1(11,102206;21,071051)AccurateFault2locationofTransmissionLinesBasedonMathematicalMorphologyLiXuepeng1,QuanYusheng1,XuTieying2,YangJunwei1,MaYanwei1(11NorthChinaElectricPowerUniversity,Beijing102206,China;21BaodingPowerSupplyCompany,Baoding071051,China):,,,,AB;500kV;,,,,,:;;;Abstract:Onthebasisofbasictheoriesofmathematicalmorphologyoftheintroduction,thepaperprovidesanovelfaultlocationmethodoftravellingwavebasedonmathemat2icalmorphologygradienttechnologywhichcanefficientlyextractthefaultcharacteristicoftransienttravellingwaveandreflectsthetimeofrefractionandechooffaulttravel2lingwave.Neardistancefault,largeresistancegroundingfaultandvoltagezerofaultwerelargelysimulatedbyPSCAD,atthesametime,thepaperusedAandBtypesfaultlocationtheorytolocatethefaultplaceandusedthemethodtovalidateprojectexamplesinwhichthedatawereregisteredbyfaultlocationdeviceusingtravellingwavein500kVline;theresultofsimulationshowsthatthenovelmethodbasedonmathematicalmorphologygradienttech2nologynotonlyisabletoaccuratelyidentifythosefaultswhicharehardfortraditionalmethodstolocatebutalsoitsalgorithmissimple,expendsveryshorttimeandiseasytoapplyforhardware.Thepaperprovidestheoryfoundationandtechnologysupportfortheresearchoftheaccuratefaultlocationdevice.Keywords:mathematicalmorphology;transmissionlines;faultlocation;travellingwave0,,,,,,,,,[1,2],,,[35],,,[6],,,,(MathematicalMorphology)60G1MatheronJ1Serra()[7],(),(),,,,,,,,,,,,,,,,,PSCAD/EMTDC1,ABC3[8,9],11A,1:Dmf=L-(t2m-t1m)v2Dnf=(t2n-t1n)v2(1)Dmf,Dnfmnt1mt1nmn,t2mt2n,LB,,,,,GPS,,B:Dmf=(L+(t1m-t1n)v)2Dnf=(L+(t1n-t1m)v)2(2)2,,f(y)g(x)F={0,1,,Y-1}G={0,1,,X-1},NMg(x)f(y):(f©g)(y)=maxf(y-x)+g(y)(y-x)FyG(3)(fg)(y)=minf(y+x)-g(y)(y+x)FyG(4),g,,,,,531:,,;(),,[6,10]Ggrad(f)=(f©g)(y)-(fg)(y)(5),,,,,,[6,11],,g+={g+1,g+2,,g+l-1,g+l-}(6)g-={g-1,g-2,,g-l-1,g-l-}(7)g+g-l=2l-ala,a,l11g+g-,(MMG)Gag+(y)=(fa-1©g+)(y)-(fa-1g+)(y)(8)Gag-(y)=(fa-1g-)(y)-(fa-1©g-)(y)(9)Gag(y)=Gag+(y)+Gag-(y)(10)a=1,f0=f,,,3PSCAD/EMTDC,220kV,,1MHz,,,,,Clark2997397769m/s3112m20kmn60km2,6,,1002(a)abt1m=501695mst2m=501828ms(b)abt1n=501561mst2n=5016955msAB1AB(km)(m)AM201053+53N591843-157BM191917-83N601083+836320063123m40kmn60km,300300[12]),(a)b(b)c,,,,,3(a)abt1m=501628ms,t2m=501895ms(b)abt1n=5016955mst2n=501963msAB2AB(km)(m)AM401015+15N591910-90BM391884-116N601116+1163134m1kmn20km,4(a)abt1m=501501mst2m=5015075ms(b)abt1n=501564mst2n=5016985msAB3AB(km)(m)AM01974+26N201157+157BM11058+58N191942-58,,,3145,m37kmn21km,1500(a)abt1m=501618mst2m=501758ms(b)abt1n=731:5501706mst2n=501706msAB44AB(km)(m)AM201982-18N361868-132BM361943+57N211057+57,,,,,,,,,,,,,AB,200m315,500kV,500kHz,612115km,R52168km,1000,6,(a)bc83260;(b)bc,1053382196564km/s;A55A(km)(m)AR521492-188S691099+279,,,500km,4,,832006,,,,,,,,[1],,1[J]1,1999,32(14):29321[2],1[J]1,1998,22(8):63661[3],1[J]1,2004,28(5):51551[4],1[J]1,2000,20(8):6101[5]ZhangDJ,WuQH,etc1Accuratefaultlocationbasedontransientsextractionusingmathematicalmorphology[J]1IEE,2002,38(24):158315851[6],[J]1,2003,27(7):45491[7]SerraJ1Imageanalysisandmathematicalmorphology[M]1London:Academicpress,19821[8]1[M]1:,19961[9],1[J]112000,24(4):27331[10],,11[J]12005125(4):13181[11]WuQH,ZhangJF,ZhangDJ1Ultra2high2speeddirectionalprotectionoftransmissionlinesusingmathematicalmorphology[J]1IEEEtransonpowerdelivery,2003,18(4):112711331[12],,1()[J]112002,(6):34401:2005208215:(1979),,,;(1955),,,931: