of analysispsut方法分析阵发性室上性心动过速课件

MethodsofAnalysis PSUT 1 BasicNodalandMeshAnalysis Al Qaralleh MethodsofAnalysis PSUT MethodsofAnalysis 2 IntroductionNodalanalysisNodalanalysiswithvoltagesourceMeshanalysisMeshanalysiswithcurrentsourceNodalandmeshanalysesbyinspectionNodalversusmeshanalysis Lect4 EEE202 3 StepsofNodalAnalysis 1 Chooseareference ground node 2 Assignnodevoltagestotheothernodes 3 ApplyKCLtoeachnodeotherthanthereferencenode expresscurrentsintermsofnodevoltages 4 Solvetheresultingsystemoflinearequationsforthenodalvoltages PSUT MethodsofAnalysis 4 Commonsymbolsforindicatingareferencenode a commonground b ground c chassis Lect4 EEE202 5 1 ReferenceNode ThereferencenodeiscalledthegroundnodewhereV 0 V 500W 500W 1kW 500W 500W I1 I2 Lect4 EEE202 6 StepsofNodalAnalysis 1 Chooseareference ground node 2 Assignnodevoltagestotheothernodes 3 ApplyKCLtoeachnodeotherthanthereferencenode expresscurrentsintermsofnodevoltages 4 Solvetheresultingsystemoflinearequationsforthenodalvoltages Lect4 EEE202 7 2 NodeVoltages V1 V2 andV3areunknownsforwhichwesolveusingKCL 500W 500W 1kW 500W 500W I1 I2 1 2 3 V1 V2 V3 Lect4 EEE202 8 StepsofNodalAnalysis 1 Chooseareference ground node 2 Assignnodevoltagestotheothernodes 3 ApplyKCLtoeachnodeotherthanthereferencenode expresscurrentsintermsofnodevoltages 4 Solvetheresultingsystemoflinearequationsforthenodalvoltages Lect4 EEE202 9 CurrentsandNodeVoltages 500W V1 500W V1 V2 Lect4 EEE202 10 3 KCLatNode1 500W 500W I1 V1 V2 Lect4 EEE202 11 3 KCLatNode2 500W 1kW 500W V2 V3 V1 Lect4 EEE202 12 3 KCLatNode3 500W 500W I2 V2 V3 Lect4 EEE202 13 StepsofNodalAnalysis 1 Chooseareference ground node 2 Assignnodevoltagestotheothernodes 3 ApplyKCLtoeachnodeotherthanthereferencenode expresscurrentsintermsofnodevoltages 4 Solvetheresultingsystemoflinearequationsforthenodalvoltages Lect4 EEE202 14 V 500W 500W 1kW 500W 500W I1 I2 4 SummingCircuitSolution Solution V 167I1 167I2 PSUT MethodsofAnalysis 15 Typicalcircuitfornodalanalysis PSUT MethodsofAnalysis 16 PSUT MethodsofAnalysis 17 CalculusthenodevoltageinthecircuitshowninFig 3 3 a PSUT MethodsofAnalysis 18 Atnode1 PSUT MethodsofAnalysis 19 Atnode2 PSUT MethodsofAnalysis 20 Inmatrixform PSUT MethodsofAnalysis 21 Practice PSUT MethodsofAnalysis 22 DeterminethevoltageatthenodesinFig below PSUT MethodsofAnalysis 23 Atnode1 PSUT MethodsofAnalysis 24 Atnode2 PSUT MethodsofAnalysis 25 Atnode3 PSUT MethodsofAnalysis 26 Inmatrixform PSUT MethodsofAnalysis 27 3 3NodalAnalysiswithVoltageSources Case1 Thevoltagesourceisconnectedbetweenanonreferencenodeandthereferencenode Thenonreferencenodevoltageisequaltothemagnitudeofvoltagesourceandthenumberofunknownnonreferencenodesisreducedbyone Case2 Thevoltagesourceisconnectedbetweentwononreferencednodes ageneralizednode supernode isformed PSUT MethodsofAnalysis 28 3 3NodalAnalysiswithVoltageSources PSUT MethodsofAnalysis 29 Acircuitwithasupernode Asupernodeisformedbyenclosinga dependentorindependent voltagesourceconnectedbetweentwononreferencenodesandanyelementsconnectedinparallelwithit TherequiredtwoequationsforregulatingthetwononreferencenodevoltagesareobtainedbytheKCLofthesupernodeandtherelationshipofnodevoltagesduetothevoltagesource PSUT MethodsofAnalysis 30 Example3 3 ForthecircuitshowninFig 3 9 findthenodevoltages PSUT MethodsofAnalysis 31 i1 i2 PSUT MethodsofAnalysis 32 Findthenodevoltagesinthecircuitbelow Atsuopernode1 2 PSUT MethodsofAnalysis 33 Atsupernode3 4 PSUT MethodsofAnalysis 34 3 4MeshAnalysis Meshanalysis anotherprocedureforanalyzingcircuits applicabletoplanarcircuit AMeshisaloopwhichdoesnotcontainanyotherloopswithinit PSUT MethodsofAnalysis 35 PSUT MethodsofAnalysis 36 a APlanarcircuitwithcrossingbranches b Thesamecircuitredrawnwithnocrossingbranches PSUT MethodsofAnalysis 37 Anonplanarcircuit StepstoDetermineMeshCurrents Assignmeshcurrentsi1 i2 intothenmeshes ApplyKVLtoeachofthenmeshes UseOhm slawtoexpressthevoltagesintermsofthemeshcurrents Solvetheresultingnsimultaneousequationstogetthemeshcurrents PSUT MethodsofAnalysis 38 Fig 3 17 PSUT MethodsofAnalysis 39 Acircuitwithtwomeshes ApplyKVLtoeachmesh Formesh1 Formesh2 PSUT MethodsofAnalysis 40 Solveforthemeshcurrents UseiforameshcurrentandIforabranchcurrent It sevidentfromFig 3 17that PSUT MethodsofAnalysis 41 FindthebranchcurrentI1 I2 andI3usingmeshanalysis PSUT MethodsofAnalysis 42 Formesh1 Formesh2 Wecanfindi1andi2bysubstitutionmethodorCramer srule Then PSUT MethodsofAnalysis 43 UsemeshanalysistofindthecurrentI0inthecircuit PSUT MethodsofAnalysis 44 ApplyKVLtoeachmesh Formesh1 Formesh2 PSUT MethodsofAnalysis 45 Formesh3 Inmatrixfrombecomewecancalculusi1 i2andi3byCramer srule andfindI0 PSUT MethodsofAnalysis 46 3 5MeshAnalysiswithCurrentSources PSUT MethodsofAnalysis 47 Acircuitwithacurrentsource Case1CurrentsourceexistonlyinonemeshOnemeshvariableisreducedCase2Currentsourceexistsbetweentwomeshes asuper meshisobtained PSUT MethodsofAnalysis 48 asupermeshresultswhentwomesheshavea dependent independent currentsourceincommon PSUT MethodsofAnalysis 49 PropertiesofaSupermesh Thecurrentisnotcompletelyignoredprovidestheconstraintequationnecessarytosolveforthemeshcurrent Asupermeshhasnocurrentofitsown Severalcurrentsourcesinadjacencyformabiggersupermesh PSUT MethodsofAnalysis 50 Forthecircuitbelow findi1toi4usingmeshanalysis PSUT MethodsofAnalysis 51 Ifasupermeshconsistsoftwomeshes twoequationsareneeded oneisobtainedusingKVLandOhm slawtothesupermeshandtheotherisobtainedbyrelationregulatedduetothecurrentsource PSUT MethodsofAnalysis 52 Similarly asupermeshformedfromthreemeshesneedsthreeequations oneisfromthesupermeshandtheothertwoequationsareobtainedfromthetwocurrentsources PSUT MethodsofAnalysis 53 PSUT MethodsofAnalysis 54 3 6NodalandMeshAnalysisbyInspection PSUT MethodsofAnalysis 55 ForcircuitswithonlyresistorsandindependentcurrentsourcesForplanarcircuitswithonlyresistorsandindependentvoltagesources Theanalysisequationscanbeobtainedbydirectinspection thecircuithastwononreferencenodesandthenodeequations PSUT MethodsofAnalysis 56 Ingeneral thenodevoltageequationsintermsoftheconductancesis PSUT MethodsofAnalysis 57 orsimplyGv i whereG theconductancematrix v theoutputvector i theinputvector Thecircuithastwononreferencenodesandthenodeequationswerederivedas PSUT MethodsofAnalysis 58 Ingeneral ifthecircuithasNmeshes themesh currentequationsastheresistancestermis PSUT MethodsofAnalysis 59 orsimplyRv i whereR theresistancematrix i theoutputvector v theinputvector Writethenodevoltagematrixequations PSUT MethodsofAnalysis 60 Thecircuithas4nonreferencenodes soTheoff diagonaltermsare PSUT MethodsofAnalysis 61 TheinputcurrentvectoriinamperesThenode