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Experimental Testingof MicrocontrollerBased Protection for ThreePhase Power Distribution Transformer

By ImranRiaz Dar

A thesissubmi ttedtothe Schoo lof GraduateStudiesinparti al fulfillmentof Masterof Engineering

Facultyof Engineer ingandAppliedScience MemorialUniversityof Newfoundla nd

November, 2011

StJohn ' s, Newfound land, Canada

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Abstract

The differential protection techniqueisverypopularfor protecting powertransform ers of variou sratingsand configurationsand isbased on the differencesbetweenthe primary sideandsecondaryside currents.The differencecurrents contain inform ation when adequately processedand provide aclearpictureabout thetransformer operating conditions.Amo ng severalapproaches devel opedto processdifferential currents, harm onic analysis iswidelyemployed for severalutilities,industrial,comm erc ial and resid entialapplication s.

Theextraction of certain harmonic component spresentin the differentialcurrentscanbe criticalin distin guishin gbetweenthemagnetizinginrush currentandany internalfault current. Thediscrete Fourier transform can bethepreferred choice in the analysis that leads to an improvementin the protection ofpowertransformer s.The implementati on ofa digital filterin g approachisusually accomplishedusingmicroprocessorplatform s,which offeraccuracy,speed, reliabi lityandsimplicity for protection of distributiontransform ers.

This thesisimplements,for the firsttime,harmonic analysisofdifferenti al currents for protection ofpowertransform ersinamicrocontroll er. Theanalysis isbased onadiscrete Fourier transformand isrealizedusing ac-codefortestin gthe 3-phase laboratory transforme r. Performance s of the microprocessor digital relay show simple implementation,reliability,speed and accuracy for distribution typetransformers.

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Acknowledgement

Iam thankfultomy supervisor ProfessorDr. M.A.Rahm anfor hiscontinuous adv iceand assistance duringthe cour se ofgraduatestudies, researchworkand thewriting of this thesis.

I would liketopay special regard sto Dr. Saleh forhishelpwith my experimental research work.

Spec ial thank stomycolleagues and labtechnic ians for their support.

FinancialAssistance, in theformofa Teaching AssistantshipbytheFacult y of EngineeringandApplied Science,isworthmentionin ghere.

Finally, I mustmenti onthe patience ofmy wifewhostood by meforthelastthree years, asI wasdoing,my studies,and the samefeelingsgoformy children.

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Contents

Abstract

Acknow ledgeme nt ListofFigures I. Introdu ction

1.1 General

1.2 Summaryof Sho rtLiterature Review

1.3 Pertinent and BriefLiteratureReview on DigitalProtecti on

1.3.1 Digital Algor ithmsforPower Transformer Protecti on

1.3.2 Discrete FourierTransfor m(OFT)

1.3.3 ApplicationofDiscrete Fourier Transform (OFT)

in PowerDistributi on Transfor mer Protecti on

1.4 Purpose ofThisThes is 1.5 Outlineof The Thesis 2. Transfor mer Protecti on Concepts

2.1 Differenti alProtectionTechn ique 2.2TrippingCharac teristicsofDifferentialRelay

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iii viii

10 11 12 12 13

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2.3MagnetizingInrush Current

2.4Over-excitation 2.5 CurrentTransformerSaturation

2.6Three phase Transformer Protection 2.6.1CurrentTransfo rmers

2.6.2HarmonicRestraint s for DifferentialProtection

3. Hard wareDesign ofMicrocont roller-basedProtection of ThreePhase Power Transfo rmer

14 20

21 21

21 23

25

3.1 Introduction 25

3.2 Power Transformer 29

3.3CurrentTransformers 29

3.4 Relay ControlCircuit 30

3.5 SolidState Relay 32

3.6ScalingCircuit 33

3.7FilteringCircuit 38

3.8Microcon troller 45

4.SoftwareDesign of Microco ntroller based Three PhasePower TransformerProtection 47

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4.1 Introduction 47

4.2SoftwareDesign 47

4.2.1OFT MethodforHarmonics Calculations 49

4.2.2Criteria for HarmonicCalculations 51

4.3Protection Scheme 52

5.ExperimentalTestingForDigitalProtection ofPower Transformer 53

5.1 Introduction 53

5.2MagnetizingInrush CurrentTests 55

5.3Internal FaultTests 59

5.3.1Phaseto GroundFault(Primaryside-secon dary unloaded) 59

5.3.2 Phaseto GroundFault(Primaryside-seco ndaryatequalresistive load) 62

5.3.3Phase to GroundFault(Primaryside-secon daryatdifferentresistiveload) 64

5.3.4 Phaseto PhaseFault(Primaryside-secondaryat noload) 66

5.3.5Phase to NeutralFault(Secondaryside-secon daryat equalresistive load) 69

5.3.6 Phaseto NeutralFault(Secondary side-seco ndaryat differentresistiveload)

71

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5.3.7Phase to Phase Fault(Secondary side-seco ndary-open)

5.3.8Phase to PhaseFault(Secondary side-secondary at equalresistive load) 73

76

5.3.9 Phase to PhaseFault(Secondary side-secondary at different resistiveload)

78

5.4 Summary of ExperimentalResults

6.Conclusionsand FutureWorks

6.1Conclusion

6.2FutureWorks

References

Appendices

A Design of ChebyshevFilter for Antialiasing

B MA TLAB Programme forInrush analysis

C Discrete FourierTransform (DFTs) Algorithm

o Real Time Testing

E Programme for Microcontro ller

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82

82

83

84

94

95

114

124

128

196

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F Diagram sforMicrocont roller-16F877

List of Figures

201

Figure2.1:Biased Transformer DifferentialProtection 13

Figure2.2:DifferentialRelay Tripping Characteristics 14

Figure2.3: InputVoltageand Inrush CurrentwhenSwitchingAng le= 15

Figure2.4: Volta ge,flux and currentduringthemagneti zinginrush current. 16

Figure2.5:Deriv ati on of magnetizinginrush curre nt fromthe excitation characteristic 17

Figure2.6:Effectof residualfluxon inrush current,at saturationdensity 18

Figure2.7:Effect ofresidual flux oninrushcurren t,at90%saturationdensity 19

Figure2.8:Magnetizi ngCurveforSteelCore Transformers 20

Figure2.9: Differential protectio nSchemeforThreePhasePower Transfo rmer 22

Figure2.10:Basic circuit forharm on icrestraintrelay 23

Figure3.1:ExperimentalSetUp 26

Figure3.2:System BlockDiagram 27

Figure3.3:Experimenta lSet Up forInternal FaultsTests 28

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Figure3.4:Relay Contro lCircuit 31

Figure3.5:Equiva lent circu it ofSolidState Relay 33

Figure3.6:QuadOpera tio nalAmplifier 34

Figure3.7:Scalingcircuit 35

Figure3.8:ScalingcircuitwhenLow gain,RA=0 36

Figure3.9:Scalingcircuitwhen med ium gain,RA=2.5KO 37

Figure3.10:Scalingcircuit whenhigh gain,RA=5KO 38

Figure3.11:Chebys hev lowpassfilter specifica tions 40

Figure3.12:Circuit diagram for 6thorde rChebys hev filter (Anti-alias ing filter) 44

Figure3.13:OutputofChebyshev filter 45

Figure 4.1 :FlowChart forDifferenti alRelayProtection 48

Figure 4.2:FlowChart forHarm on ics Calculations 50

Figure5.1:Photograph of Experi mentalset up 54

Figure 5.2:Exper imental inrush current response forphase A 56

Figure 5.3:Experi mentalcurrent harmonicsin phase A 57

Figure5.4: Exper imenta l magnetizing inrush current and response of electro nicswitch

58

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Figure5.5:Experimental phaseto groundfaultand response ofthe electronicswitch 60

Figure5.6:Phase Ato groundfaultat noloadpowertransformer,harmonics and response

of electronicswitch. 61

Figure5.7:PhaseAto ground fault atequalresistive load (6000),powertransform er and

response ofelectronicswitch 62

Figure5.8:PhaseAto groundfaultatequal resistiveload (6000)-powertransformer,

harmonics and response ofelectronicswitch 63

Figure5.9:PhaseAto groundfaultatunequalresistiveload (600/1200/24000),power

transformer andresponseof electronicswitch 64

Figure5.10: PhaseAto groundfaultat unequal resistive load (600/1200/24000),power transformer, harmon ics and response of electronicswitch. 65

Figure5.11: PhaseAto PhaseBfault primary sideandsecondaryopenandresponseof

electronicswitch 67

Figure5.12:PhaseAtoPhaseBfaultprimarysideandsecondaryopen, harmonicsand

responseof electron icswitch 68

Figure5.13:Phasetoneutral faultcurrent(secondaryside) inPhaseAwhensecondary sideofpower transformeratequalresistive load (6000)andresponseof electronic switch.

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Figure5.14: Phasetoneutralfault current (secondaryside)in PhaseA whensecondary sideof power transfo rmeratequal resistiveload (600n),harmonics andresponseof

electronicswitch 70

Figure5.15: Phasetoneutral faultcurrent(secondaryside) in Phase A whensecondary sideofpower transformerat unequal resistive load (600/1200/2400n)andresponseof electronicswitch.

71

Figure5.16:Phase toneutralfault current(secondaryside) in Phase C whensecondary side ofpowertransformer at unequal resistive load (600/1200/2400n)andresponseof

electronicswitch. 72

Figure5.17: PhasetoPhase faultcurrent(secondaryside) in Phase A whensecondaryside of powertransformer openand response of electronicswitch.

74

Figure 5.18:PhasetoPhase faultcurrent(secondaryside)in Phase A whensecondaryside ofpowertransformer openandresponseof electronicswitch.

75

Figure5.19: PhasetoPhase faultcurrent(secondaryside)in Phase Cwhen secondaryside ofpowertransformer atequal resistiveload (600n)andresponseof electronicswitch.

76

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Figure5.20: PhasetoPhasefault current(secondaryside)in Phase C whensecondaryside ofpowertransformer atequal resistiveload (600n)andresponseof electro nicswitch.

77

Figure5.21:PhasetoPhase faultcurrent(secondaryside)inPhase C whensecondaryside of powertransformer atdifferent resistive load (600/1200/2400n)and responseof

electronicswitch. 78

Figure 5.22:PhasetoPhase fault current (secondaryside)in Phase C whensecondaryside ofpowertransformer at differentresistiveload (600/12 00/2400n)and response of electronicswitch.

FigureA.I : Poleslocation forthe 6thorderChebyshev filter

79

101

FigureA.2:Magnitudeand phase responseofthree transfe rfunctio nsseparatelyfor the6th

order 102

FigureA3:Magnitudeand phase responseofthe6thorderChebyshev filter 103

FigureA.4: Filtercircuit 104

FigureAS:Antialiasingfilter-6thorderChebyshevfilter 109

FigureA6:Cascaded transfer functionsfor6thorderChebyshev filter 110

FigureA.7:Locationofpoles forcascadedtransferfunctionsfor 6thorderChebyshev filter

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FigureA.8:Magnitude response of 6thorderChebyshevfilter 112

FigureA.19:Phaseresponse of6thorderChebys hevfilter 113

Figure B.I:Input Voltage and Inrush CurrentwhenSwitchingAngle=00 liS

Figure B.2:InputVoltage and Inrush Curre nt when SwitchingAngle=4So 116

Figure B.3:InputVoltageand Inrush Current when SwitchingAngle=900 117

Figure B.4 :InputVoltageand Inrush Curre ntwhenSwitchingAngle=13So 118

Figure8.S:InputVoltageand Inrush Curre ntwhenSwitchingAngle=1800 119

Figure B.6:InputVoltageand Inrush Curre nt when SwitchingAngle=22So 120

Figure B.7:InputVoltageand Inrush Current when SwitchingAng le=2700 121

Figure B8:InputVoltageand Inrush Current whenSwitchingAngle=31So 122

Figure B9:InputVoltageand Inrush Curre nt when SwitchingAngle=3600 123

Figure 0.1:MATLABModel for Harm on ics Analysis 128

Figure 0.2:PhaseAto ground fault at Primary side,responseofthethreephases of differenti al currentat noloadpowertran sform er and Response ofelectronicswitch

129

Figure0.3 :PhaseB to groundfaultat noloadpowertransformer andresponseof electro nicswitch

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130

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Figure0.4: PhaseB to groundfaultatnoloadpowertransformer,harmonicsand

response of electron icswitch 131

Figure0.5:Phase Cto groundfaultatnoloadpower transformerandresponseof

electronicswitch 132

Figure0.6:Phase Cto groundfaultatnoloadpowertransformer,harmonics and

responseof electro nicswitch 133

Figure0.7: PhaseAto groundfault-Primaryside,responsesofthethree phasesof differential currentatequal resistiveload(6000),powertransform er andresponseof

electronicswitch. 134

Figure0.8:PhaseB to ground fault atequal resistiveload(6000) powertransformer and

responseof electronicswitch 135

Figure0.9:PhaseB to groundfaultatequalresistive load(6000) power transformer,

harmonics andresponseof electronicswitch. 136

Figure0.10:Phase Cto groundfaultat equal resistiveload(6000)powertransformer

and response of electro nicswitch 137

Figure0.11:Phase Cto groundfaultatequal resistiveload(6000) powertransformer, harmonics andresponseof electronicswitch

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138

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Figure 0.12:Response of thethreephases ofdifferential currentsat unequal resistive load (600/1200/2400n)powertransformer andresponseof electronicswitch

139

Figure 0.13:PhaseB to groundfaultat unequalresistiveload (600/1200/2400n),power

transformer andresponseof electronicswitch 140

Figure 0.14:PhaseB to groundfaultat unequal resistive load (600/1200/2400n),power transfor mer,harmon ics and response ofelectronicswitch. 141

Figure 0.15: Phase Cto groundfaultat unequalresistiveload (600/1200/2400n),power

transformer and response of electronicswitch 142

Figure 0.16:Phase Cto groundfaultat unequal resistive load (600/1200/2400n),power transformer,harmonics and response of electronicswitch. 143

Figure 0.17:Responses of the threephases of differential currentsforphasetophase fault,secondaryside open,power transformer andresponseof electronicswitch

144

Figure 0.18:Phase AtoPhaseBfaultat primary sideandsecondaryopenand response

of electronicswitch 145

Figure 0.19:Phase AtoPhaseBfaultat primary sideandsecondaryopen,harmonics and responseof electronicswitch.

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146

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Figure D.20:Phase AtoPhaseBfaultatprimary sideandsecondaryopenandresponse

ofelectronicswitch 147

Figure D.21:Phase AtoPhaseBfaultat primaryside andsecondaryopen,harmonics and

response of electronicswitch 148

Figure D.22:Responseof thethreephases of differentialcurrents for inrushmagnetizing inrus hcurrent when powertransform er secondaryside openand response of electron ic

switch 149

Figure D.23:MagnetizingInrush Current in PhaseBwhensecondarysideofpower

transformer openandresponseof electronicswitch ISO

FigureD.24:Magnetizing Inrush CurrentinPhaseBwhensecondarysideof power transform er open,harmonics and response of electronicswitch lSI

Figure D.25:Response ofthethreephases ofdifferential currents forinrushmagnetizing inrushcurrent when powertransformer secondaryside at equal resistiveload (6000)and

response of electronicswitch 152

Figure D.26:MagnetizingInrush Current in PhaseB when seconda rysideof power transformeratequalresistive load (6000)and response of electro nicswitch. 153

Figure D.27: Magnetizi ng Inrush Current in PhaseBwhensecondarysideofpower transformer atequal resistiveload(6000),harmonics and responseofelectronicswitch

154

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FigureD.28:Magnetizing Inrush Current inPhase C whensecondarysideofpower transformer atequal resistiveload (600fi)andresponseof electronicswitch. 155

Figure D.29: Magnetizing Inrush Current in Phase C whensecondarysideofpower transformeratequalresistive load (600fi), harmonics and response of electronicswitch.

156

Figure D.30:Resp?n se of thethreephases ofdifferential currentsformagnetizing inrush current when powertransformer secondarysideatvariableresistive load (600/12 00/2400

fi) andresponseofelectro nicswitch 157

Figure D.31:MagnetizingInrush Current in Phase A whensecondarysideof power transformer at variableresistive load (600/1200/2400 fi) and response of electronic

switch. 158

Figure D.32: Magnetizing Inrush Current in Phase A whensecondarysideof power transformer atvariable resistiveload (600/1200/2400 fi),harmonics andresponseof

electronicswitch 159

Figure D.33:Magnetizing Inrush Current in PhaseB when secondarysideof power transformeratvariableresistive load (600/120 0/2400 fi) and response of electronic switch.

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Figure0.34:MagnetizingInrush Current in PhaseBwhensecondarysideof power transformer atvariable resistiveload (600/I200/24000),harmonicsand response of

electronicswitch 161

Figure 0.35: Magnetizing InrushCurrentin Phase C whensecondarysideof power transform er atvariable resistiveload (600/I200/24000) andresponseof electronic

switch. 162

Figure 0.36:MagnetizingInrush Current in Phase Cwhen secondarysideof power transformerat variableresistiv eload(600/I2 00/24000),harmonic sand response of

electronicswitch 163

Figure 0.37:Response of thethreephases of differentialcurrentsforphaseto neutralfault when powertransformer secondarysideopenand response of electronicswitch

164

Figure 0.38:Phasetoneutral faultcurrent(secondaryside) in Phase A whensecondary sideofpowertransform er openand response of electro nicswitch 165

Figure 0.39:Phasetoneut ral faultcurrent(secondaryside) in Phase A whensecondary sideof powertransform er open, harmonics and response ofelectronicswitch. 166

Figure0.40:Phaseto neutralfault current(secondaryside) in PhaseB whensecondary side of powertransformer open and responseof electronic switch. 167

Figure0.41: Phaseto neutralfaultcurrent (secondaryside) in PhaseBwhensecondary sideof powertransform er open,harmonics and response ofelectronicswitch. 168

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Figure 0.42:Phasetoneutralfaultcurrent (secondaryside) in Phase Cwhen secondary sideofpower transfo rmeropenandresponseof electronicswitch 169

Figure 0.43:Phasetoneutral fault current (secondaryside) in Phase C whensecondary sideofpower transfo rmeropen,harmonics and response of electronicswitch. 170

Figure 0.44:Response ofthethreephases ofdifferential currentsfor phasetoneut ral fault when powertransformer secondarysideatequal resistiveload (600n)and response of

electronicswitch. 171

Figure 0.45:Phasetoneutralfaultcurrent(secondaryside) in PhaseB whensecondary sideof powertransformer atequalresistiveload (600n)andresponse of electronic

switch. 172

Figure 0.46:Phasetoneutralfault current(secondaryside) in PhaseBwhensecondary side of power transfor meratequal resistiveload (600n),harmo nicsandresponseof

electronicswitch. 173

Figure 0.47:Phasetoneutral fault current (secondaryside) in PhaseC whensecondary side of power transform er at equalresistive load (600n)andresponseof electronic

switch. 174

Figure 0.48: Phase to neutralfaultcurrent(secondary side) in Phase C whensecondary sideofpowertransformer atequal resistiveload (600n),harmonics and response of electronicswitch.

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Figure0.49:Responseof the three phases of differential currents for phasetoneutral fault when powertransformer secondarysideat unequ alresistiveload (600/12 00/2400Q)and

response ofelectronicswitch S. 176

Figure0.50:Phasetoneutralfaultcurre nt(seco ndaryside) in PhaseB when secondary sideofpowertransform erat un-equ al resistive load (600/12 00/2400fl) and response of

electronicswitchS. 177

Figure0.51:Phasetoneutralfaultcurrent(seco ndaryside) in PhaseB when secondary side ofpowertransformerat un-equ alresistiveload (600/12 00/2400fl) and response of

electronicswitchS. 178

Figure0.52:Phasetoneutralfaultcurrent(second ary side) in Phase Cwhensecondary sideofpowertransform er at un-equ alresistiveload(600 /1200/2400fl) and respon se of

electronicswitchS. 179

Figure0.53:Phaseto neutr alfaultcurrent (seco ndaryside)in Phase C whenseconda ry side of powertransform er at un-equal resistive load(600/1200/2400fl) and response of

electronicswitch. 180

Figure0.54:Responses of thethreephases ofdifferent ialcurrentsforphasetophasefault whenpowertransform er secondary sideopen and respon seofelectronicswitch. 181

Figure0.55:Phaseto Phase fault current(secondaryside) in PhaseBwhensecondary sideofpowertransform eropen and responseofelectronicswitchS.

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Figure0.56:PhasetoPhase faultcurre nt(seconda ryside)in Phase Bwhensecondary side of powertransform er openandresponseof electro nicswitchS. 183

Figure0.57:PhasetoPhase faultcurre nt(seconda ryside) inPhaseC whensecondary side ofpowertransform er openandresponseof electro nicswitchS. 184

Figure0.58:PhasetoPhase faultcurren t(secondaryside)in Phase C whensecondary sideofpowertransformer openandresponseof electronicswitch. 185

Figure0.59:Responses ofthethree phasesofdifferentialcurrents forphaseto phasefault when powertransformer secondarysideat equal resistiveload (6000.) andresponseof

electro nicswitch. 186

Figure0.60:PhasetoPhase faultcurren t(seconda ryside) inPhase Bwhensecondary sideofpowertran sformer atequal resistiveload (6000.)and response of electronicswitch

S. 187

Figure0.61:Phase toPhase faultcurre nt(secondaryside)in PhaseBwhensecondary sideof powertransform er atequal resistive load(6000.) andresponseof electronicswitch

S. 188

Figure0.62:PhasetoPhase faultcurre nt(secondaryside) in Phase C whensecondary sideof power transforme ratequalresistive load (6000.)andresponseof electro nicswitch S.

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Figure0.63:PhasetoPhasefault current(seconda ryside)inPhase C whensecondary sideofpower transfor meratequal resistiveload (600.0.) and response of electronic

switch. 190

Figure 0.64:Responses ofthe threephases of differential currents forphasetophase fault when powertransform er seconda ryside different at resisti veload (600/1200/2400.0.)and

responseof electro nicswitch. 191

Figure 0.65:PhasetoPhase faultcurrent(seco nda ryside)in PhaseBwhe nsecondary side ofpowertransform erat differentresistiveload (600/12 00/2400 .0.) and response of

electro nicswitchS. 192

Figure 0.66:PhasetoPhasefault current(secondaryside) inPhaseBwhensecondary side ofpower transfo rme rat differentresistiveload (600/1200/2400.0.) andresponseof

electro nicswitchS. 193

Figure 0.67:PhasetoPhasefaultcurrent (secondaryside) in Phase Cwhenseconda ry sideofpowertransform er at differentresistiveload (600/12 00/2400 .0.) and response of

electro nicswitchS. 194

Figure 0.68: Phaseto Phasefaultcurrent(secondaryside)inPhase C whensecondary sideofpowertransform er at different resistive load (600/1200/2400 0) and response of

electronicswitchS. 195

FigureF.I.I:Pin DiagramforMicrocontroll er-16F877 201 Figure F.I.2:BlockDiagram ofProgramm able Contro ller(PIC 16F877 ) 202

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List of Tables

5.1: Inrushes andfaultsatvariousoperatingconditionsand respon ses ofTriac Switch.81

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Chapter 1

Introduction

1.1Gene ral

Digitalprotectionhasbeen anareaof interestforthe lastthreedecades.In the early 1970' stheuse ofthecomput er was proposedfor the protectionofpower systems.

Effortsare beingmadetoincreasethereliabilit y,speed,economics and flexibil ity and to reduce thesize of the protection system.Advancementof the microproc essor,like microcontroll er,madeit possibleto achieve the objectivesofthe proposedprotection of a powerdistributiontransformer.

Theprotection of thepower transformerposesa challenge to protectionengineers,such as protectionfrommagnetizinginrushesin powertransform ersmadeupofiron laminati onsduring over-vo ltageexcitation.Simpleandordinaryelectro-mechanical relayshave failed toadequatelyfulfill these versatile requirements.These requirements includeprotectionthatidentifiesmagnetizin ginrushcurrent,saturation andover- excitation.Magnetizing inrushoccursat theinstance of switchingon thepower transformer, whereasoverexcitation isdueto voltagesurgesat inputor saturationof the ironlaminatedcore of thepowertransformer.Differentialcurrent protection isthe most populartechniquefor theprotection of the transformer. In the idealcase,these differentialcurrents are linear.However,the residu alfluxdensity andsaturationof iron laminationmaketheinrush current non-line ar and non-sinu soidal. The differential protectiontechniqueisusedfor digitalprotectionof thepower transformer.Itrequires

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the samplingoftheinputcurrent data and evaluation according tothe algor ithm used.

These inputsample data aredigitallyfiltered by thealgori thmin theprocessor and decla resthefaultor nofaultlike inrush.

1.2 Summary of Short Literature Review

The powertransform eris oneofthemostessenti al componentsofapower system.

Power transform ers are broadl y classified as: (I) Generatin g transform er, (2) Transmi ssiontransform er, (3)Distributi ontransform er,in terms of power andvoltage ratings.The generatingtransformeris connected tothe generator directly and usually locatedjust outside thegenerating building. Thegenerator and thegenera ting transform er are calledtheunit transform er.The generatingtransformer is a step up powertransform erhavin gratin gs of13.8kVIl32kV (Line toLine), etc.Transmissio n transform ers are locatedin transm ission substations. These arestep up transform ers having standardvoltageratingsofI38kV/230kV /345kV/500kV1735kV.Attheload center(substatio n) thetransmi ssiontransform ers arestep downtypeshaving standard voltage ratin gsI32kV/66kV/33kV.The distribut iontransform ers are typicallylow voltage typeshaving standa rdvoltage ratin gs of33kVI12.4 7kV/4. 16kV/575V/208V(L- L) and IIOV (L-N).This thesisdeals withthe protection of distributi onpower transformer s.

There are two types of major over currentabnormalitiesin powertransformers. Thefirst one is thefault currentsand the otherone ismagneti zinginrush currents. The obje ctives ofall types of distributiontransformerprotecti onincludethe artandscienceof protectin g against the faultsin thetransformeritsel f andagainst highmagnetizinginrush

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currents duringthe initialswitching.Theartofprotection also lies on the intelligent decisiontotrip acircuitbreaker againstany fault , while restrainingthe tripofthe circuit breaker during theinrush conditions.Thediscriminating features involve isolatingthe faultcurrentbut allowingthe inrush currentsfor thefirst six cycles or hundred milliseconds ofthe sixtyhertz (60Hz) power systemasperIEEE standard.

Many analogand digital circuitsare employedfor protection of power transformers . Thereexist numerous papersand methods in theliteraturefor power transformer protection.The earlierartofpowertransformer protectionis mechanicalor analogtypes overthe yearsuntilthe1980s[1-18].Systematicresearchesare being carriedoutat the MemorialUniversity'sPowerResearch Laboratoryfor developingandimprovingthe digital protection of power transformer, as a part of worldwide researchand developm ent of techniques forprotecting the powertransformers[19-64].Abrief review oftheliterature would highlightthe contributionofthe researches to achieve these goals.

In 1979,MUN undergraduate student,Eric Downtonhad successfu llyimplementedthe weightedleastsquare algorit hmsfor discriminatingbetween inrushand faultcurrents in powertransformers[22]. Gangopandhy,a MUN graduatestudent, did complete digital computer based simulationofthemagnetizing inrushandfaultcurrentsin 1980 [30].

Rahman,Dash,Phadke,Jeyasurya andYallacontributedsignificantlytowards digital protectionof power transforme rsby employingvarious techn iques andmethodsfor performin gharmonic analyses [16, 22, 24,30,33, 38, and40].

Ivi Harmanto,anothe rMUN graduatestudent,was thefirsttouse themicroprocessor based protectionof a power transformer in thelate 1980s[21,23 and 37].In recent years,intelligenthigh speed digital relayshave been introduced;employingartificial

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neuralnetwork s,fuzz ylogics and wavelet techniqu esbasedprotection ofpower transform ers.Thesenewerintelligenttechniqu es wereinves tiga ted bymany otherMUN graduatestudentslikeZaman,Hoqu e,Darw ash,So and Salehon differentaspects for usingcomputer relayingof powersystems [47-50 , 62]. The uses of micro controllersare notwellresearch edfor distributi ontypepowertransform ers. The microcontroll erbased digitalrelayisnowconsidered ascheap andinexpensive for stand-alone protect ion of sing le and three phase power distribut ion transform ers. These cost effective microc ontroll errelays are conn ected in parallel with thestandard HRC (high interrupting capacit y) English Electricfuses.

1.3 Pertinentand Brief Literatu reRevie w on DigitalProt ecti on

Earlier protecti on schemesofpowertransform erprotecti on areboth electro-mec hanica l and analog electro nic types.Since the1960sresearchhasmovedtoward s computer relaying. Thecomputer relaying in powertransformerprotection hasbeenprogressin gin stepwith advancesin highspeed computing since the1970s.The digital algorithmsfor powertransformerprotectionhavebeenthe focu s of the resea rchincomputer relayin g.

Rock fell erintrodu ced adetail eddigital scheme forfaultprotect ionin the joint Pacific Gas&Electric(PG&E)and Westinghouse sub-station project[9].Digitalrelays for transformerprotecti on are based onaharmonicrestraintpercentagedifferent ial current principle.The harmonicanalysisiscarriedout fordigitalprocessing of the differential currentsamples.The primarydesi gn obje ctive isto find a fast and accuratealgorithmto quickl ycalculat ethefundamental,secondand higher,(pa rticularly thefifth)harm onic components fromthe currentsamples.Sykesand Morrison atte mpted to extractthe fundamental(151) andsecond harm onic (2nd)comp onents of different ial currentsamp les

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