11a harmonics

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    Harmonics In AC SystemsHarmonics In AC Systems

    An IntroductionAn Introduction

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    HarmonicsHarmonics an introductionan introduction

    Modern electronic power control devices widelyModern electronic power control devices widelyusedused

    Major disadvantage is that the switching ofMajor disadvantage is that the switching ofsemi conductors generates harmonicssemi conductors generates harmonics

    Because current in these systems is interruptedBecause current in these systems is interruptedby a switching action, the current containsby a switching action, the current contains

    frequency components that are multiples of thefrequency components that are multiples of the

    power system frequencypower system frequency

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    HarmonicsHarmonics an introductionan introduction

    High frequency harmonic currents causeHigh frequency harmonic currents causeproblems:problems:

    Excessive heat losses in transformers, cables,Excessive heat losses in transformers, cables,other componentsother components

    Control, protection and metering devices do notControl, protection and metering devices do notfunction as required (nuisance tripping, etc.)function as required (nuisance tripping, etc.)

    Telecommunication & data networks subject toTelecommunication & data networks subject to

    interference and disturbanceinterference and disturbance

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    HarmonicsHarmonics an introductionan introduction

    Particular problem where the networkParticular problem where the networkcontains power factor correctioncontains power factor correction

    capacitorscapacitors

    This can form a parallel resonant circuitThis can form a parallel resonant circuitat harmonic frequencyat harmonic frequency

    Results in harmonics being amplifiedResults in harmonics being amplified

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    HarmonicsHarmonics an introductionan introduction

    Sensitive equipmentSensitive equipment CommunicationsCommunications

    VHF radioVHF radio

    AIS systemsAIS systems

    RadarRadar

    ComputersComputers

    Control systemsControl systems

    Monitoring systemsMonitoring systems

    Navigation systemsNavigation systems

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    The ProblemThe Problem

    To start with a simple example:To start with a simple example:

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    The ProblemThe Problem Linear LoadLinear Load

    Four-wire System - Linear Phase Currents Return via NeutralConductor where Balanced Phase Current Cancel Out

    ABS GUIDANCE NOTES ON CONTROL OF HARMONICS IN ELECTRICAL POWER SYSTEMS . 2006

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    The ProblemThe Problem Non linear (switching) LoadNon linear (switching) Load

    Triplen Harmonics Add Up Cumulatively in Neutral conductorswith Single-phase Nonlinear Loads in Four-wire System

    ABS GUIDANCE NOTES ON CONTROL OF HARMONICS IN ELECTRICAL POWER SYSTEMS . 2006

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    The ProblemThe Problem

    Problems most often caused by the 3rd, 5th, 7th,

    11th, 13th order harmonics

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    1111

    The ProblemThe Problem

    5th order

    harmonic

    removed

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    TerminologyTerminology

    FundamentalFundamental The basic designed supply frequencyThe basic designed supply frequency

    HarmonicsHarmonics Waveforms at an exact multiple of theWaveforms at an exact multiple of the

    fundamental frequencyfundamental frequency

    OrderOrder

    Indication of the frequency of a specificIndication of the frequency of a specificharmonicharmonic

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    ExamplesExamples

    FundamentalFundamental 60 Hz60 Hz 33rdrd order harmonicorder harmonic 180 Hz180 Hz

    66thth

    order harmonicorder harmonic 360 Hz360 Hz

    FundamentalFundamental 330 Hz330 Hz 33rdrd order harmonicorder harmonic 990 Hz990 Hz

    66thth order harmonicorder harmonic 1980 Hz (1.98 kHz)1980 Hz (1.98 kHz)

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    Major CauseMajor Cause

    High speed electronic switchingHigh speed electronic switching ThyristorsThyristors

    Controlled rectifiersControlled rectifiers

    InvertersInverters

    Power transistorsPower transistors

    Propulsion PWM invertersPropulsion PWM inverters

    DCDCAC power inverters in UPS unitsAC power inverters in UPS units

    All produce reflected currentsAll produce reflected currentsAt time of switchingAt time of switching

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    Harmonics In 3Harmonics In 3--phase Systemsphase Systems

    Even numbersEven numbers Self cancelling in all AC systemsSelf cancelling in all AC systems

    Multiples of threeMultiples of three Self cancelling in 3Self cancelling in 3--phase systemsphase systems

    Leaving 5, 7, 11, 13, 17, 19, 23Leaving 5, 7, 11, 13, 17, 19, 23

    60Hz system60Hz system 300Hz, 420Hz, 660Hz, 780Hz, 1020Hz300Hz, 420Hz, 660Hz, 780Hz, 1020Hz

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    Frequency And AmplitudeFrequency And Amplitude

    Higher frequency, lower amplitudeHigher frequency, lower amplitudeAmplitude varies as the inverse of the orderAmplitude varies as the inverse of the order

    55thth

    order harmonicorder harmonicAmplitude = 1/5Amplitude = 1/5 fundamentalfundamental

    Applies toApplies to Harmonic currentsHarmonic currents

    Resulting EMFResulting EMF

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    FundamentalFundamental

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    Fundamental + 5Fundamental + 5thth OrderOrder

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    Fundamental + 5Fundamental + 5thth & 7& 7thth OrdersOrders

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    2020

    FundamentalFundamental

    + 5+ 5thth

    77thth

    & 11& 11thth

    OrdersOrders

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    All Orders Up To 17All Orders Up To 17thth

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    OutOut--ofof--phase Harmonicsphase Harmonics

    Harmonics so far in phaseHarmonics so far in phase Regular waveform distortionRegular waveform distortion

    Out of phase harmonicsOut of phase harmonics Irregular waveform distortionIrregular waveform distortion

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    2323

    55thth Order, Lagging 0.8Order, Lagging 0.8

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    55thth & 7& 7thth; Lagging 0.8; Lagging 0.8

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    All To 17All To 17thth; Lagging 0.8; Lagging 0.8

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    Significant EffectsSignificant Effects

    Inductive heatingInductive heating

    Electromagnetic equipmentElectromagnetic equipment

    Motors, transformers, generators, relays, coilsMotors, transformers, generators, relays, coils

    Other current carrying devicesOther current carrying devices

    Conductors, breakers, fusesConductors, breakers, fuses

    Adjacent partsAdjacent parts Steel enclosures, conduit, mounting platesSteel enclosures, conduit, mounting plates

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    2727

    Other EffectsOther Effects

    Voltage distortionVoltage distortion Unpredictable equipment operationUnpredictable equipment operation

    Tripping circuit breakersTripping circuit breakers

    Flickering fluorescent lightsFlickering fluorescent lights

    Fuses blowing for no reasonFuses blowing for no reason

    Excessive neutral currentsExcessive neutral currents

    Equipment overheatingEquipment overheating

    Equipment failureEquipment failure

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    Harmonic DistortionHarmonic Distortion

    Various calculated valuesVarious calculated values Based on RMS valuesBased on RMS values

    Total harmonic content (THC)Total harmonic content (THC)

    Effective value of distorted voltageEffective value of distorted voltage Total harmonic distortion (THD)Total harmonic distortion (THD)

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    Total Harmonic ContentTotal Harmonic Content

    Total harmonic content (THC)Total harmonic content (THC) EEHH == (E(EH5H5 + E+ EH7H7 + E+ EH11H11 ))

    WhereWhere EEHnHn is the RMS value of the nis the RMS value of the nthth orderorder

    ExampleExample EF = 660 VEF = 660 VRMSRMS

    55thth and 11and 11thth harmonics presentharmonics present

    EEHH

    == (E(EH5H5

    + E+ EH11H11

    ) =) = (132(132 + 60+ 60) =) =

    145V145VRMSRMS

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    Effective ValueEffective Value

    Effective value of distorted voltageEffective value of distorted voltage EEFF+ E+ EHH

    From previous exampleFrom previous example EEFF = 660V= 660V

    EEHH = 145V= 145V

    Effective value =Effective value = (660(660 + 145+ 145) =) =675.7V675.7VRMSRMS

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    Total Harmonic DistortionTotal Harmonic Distortion

    TToottaall hhaarrmmoonniicc ddiissttoorrttiioon (THD)n (THD) Most commonly usedMost commonly used measuremeasure

    Ratio of harmonic value to fundamentalRatio of harmonic value to fundamental

    From previous exampleFrom previous example 145/660 = 21.97%145/660 = 21.97%

    EEHH

    EEFF

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    THD LimitsTHD Limits

    Generally accepted limits for most systemsGenerally accepted limits for most systems 25% action must be takenaction must be taken

    Limit setLimit set Depends on equipment fittedDepends on equipment fitted

    Classification / makers may require lower limitClassification / makers may require lower limit

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    3333

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

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    3434

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

    With care!With care!

    Normally only possible to measure atNormally only possible to measure atvoltages below 690 Volts acvoltages below 690 Volts ac

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    3535

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

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    3636

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

    AEMC 3945 Connected On-site Illustrating Wrap-aroundRogowski-type, AmpFlex 6500 A Current Probes

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    3737

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

    Typical analysis by software:Typical analysis by software:

    Real TimeCurrentWaveformsviaComputer

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    3838

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

    Typical analysis by software:Typical analysis by software:

    Real TimeComputerDisplay ofHarmonicCurrents

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    3939

    How do you detect or measureHow do you detect or measure

    harmonics?harmonics?

    Typical analysis by software:Typical analysis by software:Unbalance inReal Time viaComputer

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    Minimising Harmonic EffectMinimising Harmonic Effect

    Circuit designCircuit designAdditional inductanceAdditional inductance

    Phase shift transformersPhase shift transformers

    Increase number of converter pulsesIncrease number of converter pulses

    Use dedicated (clean) power suppliesUse dedicated (clean) power supplies Negates the advantage of single power sourceNegates the advantage of single power source

    operationoperation Harmonic filtersHarmonic filters

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    4141

    Minimising Harmonic EffectMinimising Harmonic Effect

    Equipment design:Equipment design:

    Increase number of pulses; example use aIncrease number of pulses; example use a

    1212--pulse drive instead of a 6pulse drive instead of a 6--pulse drive.pulse drive. Harmonics produced higher up the orderHarmonics produced higher up the orderwhere they will have less effectwhere they will have less effect

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    Minimising Harmonic EffectMinimising Harmonic Effect

    Where harmonics are too high, filtersWhere harmonics are too high, filtersmust be used, either;must be used, either;

    Passive filtrationPassive filtration

    OrOr

    Active filtrationActive filtration

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    Minimising Harmonic EffectMinimising Harmonic Effect

    Phase ShiftingPhase Shifting

    Phase shift can be accomplished using a starPhase shift can be accomplished using a star--deltadeltatransformertransformer

    Cancellation of 5Cancellation of 5thth & 7& 7thth harmonic currentsharmonic currents

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    Minimising Harmonic EffectMinimising Harmonic Effect

    Phase ShiftingPhase Shifting

    12-pulse A.C. PWM with double wound phase

    shift transformer

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    4545

    Minimising Harmonic EffectMinimising Harmonic Effect

    Phase ShiftingPhase Shifting

    Comprises a double-wound isolating transformer

    with 30 degrees phase shift between the star and

    delta secondary windings,

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    4646

    Minimising Harmonic EffectMinimising Harmonic Effect

    Phase ShiftingPhase Shifting

    Comprises a double-wound isolating transformer with 30

    degrees phase shift between the star and delta secondary

    windings,

    Two 6-pulse input bridges, an interbridgereactor, a DC bus and an inverter bridge.

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    Passive Harmonic FiltersPassive Harmonic Filters

    Consist of a series circuit of reactors &Consist of a series circuit of reactors &capacitorscapacitors

    Tuned resonant circuitsTuned resonant circuits

    Absorb unwanted frequenciesAbsorb unwanted frequencies

    RLC circuitRLC circuit (resistance, inductance, capacitance)(resistance, inductance, capacitance)

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    Passive Harmonic FiltersPassive Harmonic Filters

    Consist of a series circuit of reactors &Consist of a series circuit of reactors &capacitorscapacitors

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    Passive Harmonic FiltersPassive Harmonic Filters

    High voltage

    harmonic filter

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    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    Using a DeltaUsing a Delta--ZigZagZigZag transformer it is possible to achievetransformer it is possible to achievea 30a 30 phase shiftphase shift

    Overlaying the waveforms can provide some harmonicOverlaying the waveforms can provide some harmonic

    cancellationcancellation

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    5151

    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    B Wave Shape With No Phase Shift;A Wave Shape Phase Shifted By 30

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    5252

    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    The Combination of The B And 30Phase Shifted A Wave Shapes.

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    5353

    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    When the two are combined cancellation of

    the 5th, 7th, 17th, and 19th harmonics occurs.

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    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    Another phase shift could further

    improve the waveform

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    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    Combination of Two A+B Wave ShapesWith One Of The Two Phase Shifted By 15

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    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    Cancels out the harmonics

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    Harmonic Mitigating TransformersHarmonic Mitigating Transformers

    BUT the cost-benefit does notgenerally justify this extra stage

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    5858

    Active Harmonic FiltersActive Harmonic Filters

    Principle:Principle:

    Measures the harmonic content andMeasures the harmonic content and

    Actively generates a harmonic currentActively generates a harmonic currentspectrum in opposite phase.spectrum in opposite phase.

    Original harmonics therefore cancelled out.Original harmonics therefore cancelled out.

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    5959

    Active Harmonic FiltersActive Harmonic Filters

    Principle:Principle:

    ABB PQFA Active Filter system

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    Active Harmonic FiltersActive Harmonic Filters

    Principle:Principle:

    ABB PQFA Active Filter system

    The PQF system is basically a compensating current generator

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    6161

    Phase shifttransformers

    cycloconverters

    Motor-generator set

    for clean AC supply

    Double windingsynchronous motor

    Propulsion motorexcitation

    CPP

    Example - Electric Propulsion System