导体直流电阻测量不确定度评定研究

20091No.12009ElectricWire&Cable20092Feb.,2009,(,210007):,,,,:;;:TM206;TM244:A:167226901(2009)0120036204AssessmentoftheUncertaintyoftheMeasurementofConductorDCResistanceCHENYu2ming,etal(JiangsuProvince/InstituteofQualityInspectionandTesting,Nanjing210007,China)Abstract:Uncertaintyofmeasurementdenotestheunauthenticextentofthetestresultorthedegreeofsuspiciona2boutthevalidityofthemeasurement.Inthispaper,theauthorsestablishedamathematicmodeltoassesstheuncer2taintyofthemeasurementofconductorDCresistance.Combinedwiththetestresult,themodelcangivetheuncertain2tyofmeasurement.Thecomponentsaffectingtheuncertaintywereanalyzedandsomemethodstoimprovethemeas2urementwereproposed,whichareusefulforthemeasurementofconductorDCresistanceaswellastheassessmentoftheuncertaintyofmeasurement.Keywords:conductorresistance;uncertaintyofmeasurement;DCresistancebridge:2008206220:(1978-),,.:5[210007].11.1GB/T3048.42007:152585%,1,20071994,,,,1.2,,:(210-599.9),:(1100),366457,,2,,,36,36:,2GB/T3048.42007,:R20=Ri1+20(ti-20)1000Li(1),R2020(/km);Riti,Li();2020©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(1/)(1),Ri=RNR1R2,,RN()R1R2(),RN,,,,,(2):R20=R20+R20+R20(Ri)+R20(ti)+R20(Li)+R20(x)(2),R2020;R20,AuA(R20);R20(Ri);R20(ti);R20(Li);R20(x);R20(Ri)+R20(ti)+R20(Li)+R20(x)B,uB(R20)(2),R20,,;,33.1A227IEC01(BV)450/750V12.5,36,10,11227IEC01(BV)450/750V12.5Ri/10-2ti/R20/(/km)Ri/10-2ti/R20/(/km)10.7017620.17.01560.7017020.17.01420.7017020.07.01770.7016919.97.02030.7016819.97.02080.7016619.87.02240.7017720.27.01290.7016919.97.02050.7016519.87.022100.7017020.07.017Ri0.7017010-2u1(Ri)0.38310-6ti19.97u2(ti)0.13R207.018(/km)uA(R20)3.2910-3(/km)v1=10-1=9:1.Ri;u1(Ri);ti;u2(ti)2.19.820.2,0.43.2B3.2.1,,(1),(1):u(R20)2=5R205Riu1(Ri)2+5R205tiu2(ti)2+5R205Liu3(Li)2+25R205Ri5R205tiu(Ri,ti)+25R205Ri5R205Liu(Ri,Li)+25R205Li5R205tiu(Li,ti)(3),u1(Ri),u2(Li),u3(ti)Ri,Li,ti;5R205Ri,5R205Li,5R205ti,:5R205Ri=1000Li11+20(ti-20)=1000.1179(1/km)5R205ti=-Ri1000Li20(1+20(ti-20))2=-0.0276(/km)5R205Li=-Ri1000Li211+20(ti-20)=-7.0178(/km),,:u(Ri,ti),u(Ri,Li),u(Li,ti)r(Ri,ti),r(Ri,Li),r(Li,ti)7320091No.12009ElectricWire&Cable20092Feb.,2009©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(Ri,ti)=u(Ri,ti)u1(Ri)u1(ti)=(Ri-Ri)(ti-ti)(Ri-Ri)(ti-ti)2r(Ri,Li)=u(Ri,Li)u1(Ri)u1(Li)=(Ri-Ri)(Li-Li)(Ri-Ri)2(Li-Li)2r(Li,ti)=u(Li,ti)u1(Li)u1(ti)=(Li-Li)(ti-ti)(Li-Li)2(ti-ti)2,Riti,Li,Li=Li=1m,,:u(Ri,Li)=0,u(Li,ti)=0(3):u(R20)2=5R205Riu1(Ri)2+5R205tiu2(ti)2+5R205Liu3(Li)2+25R205Ri5R205tir(Ri,ti)u(Ri)u(ti)3.2.2(1)2003200736,10-410-30.01%0.02%,,0.05%,0.05%,Ri0.7017010-20.05%,,u1(Ri)=2.0310-6;,,0.1,v2=50,5R205Ri=11+20(ti-20)1000L=1000.1179(1/km),5R205Riu1(Ri)=2.0310-3(/km)(2):,,20u1=0.30,K=2,u2(ti)=0.15,,0.4,u2(ti)=0.13,,u2(ti)=u2(ti)+u2(ti)=0.28,:5R205ti=-20Ri[1+20(ti-20)]21000L=0.0276(/km),5R205tiu2(ti)=7.7310-3(/km),,90%,v3=50(3),u2=0.32mm,K=2,u3(Li)=0.16mm,,,1000mm,BV,,0.5mm,,,u3(Li)=0.5mm,u3(Li)=0.16+0.5=0.66(mm),5R205Li=7.0178(/km2),5R205Liu3(Li)=4.6310-3(/km),,,v4=500.4,,(4),(Ri-Ri)=0,r(Ri,ti)=0,:(3):uB(R20)2=5R205Riu1(Ri)2+5R205tiu2(ti)2+5R205Liu3(Li)2+25R205Ri5R205tir(Ri,ti)u(Ri)u(ti)=(2.0310-3)2+(7.7310-3)2+(4.6310-3)2+0=85.3110-6(/km),uB(R20)=9.2310-3(/km)8320091No.12009ElectricWire&Cable20092Feb.,2009©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(K)R207.01703.2910-39R20(Ri)1000.11792.0310-350R20(ti)K=2-0.02767.7310-350R20(Li)K=2-7.01784.6310-3502:u(R20)=uA(R20)2+uB(R20)2=9.8010-3(/km)K=2,95%,U(R20)=19.6110-3(/km)0.020(/km),,:R20=(7.0180.020)(/km)K=2:U(R20)R20=0.28%,0.5%42,,,,,0.5mm,0.5%,,,36,0.001,0.0001,:[1]GB/T3048.42007,4:[S].[2]IS0:1993(E),[S].[3].[M].:.(35):4.2(1),,,,,,;(2),,,(3),,4.3,,,,5(1),(2),,,,,:[1].(2)[M].:,2001.[2].,()[M].:,1981.9320091No.12009ElectricWire&Cable20092Feb.,2009©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.