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Frequency Converters Frequency Converters

Accionamientos Para Buques2

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Motores para buques

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  • Frequency ConvertersFrequency Converters

  • Schematics of an AC VSD with DC LinkSchematics of an AC VSD with DC Link

    Rectifier(AC to DC)

    Inverter(DC to AC) Motor

    Controller

    Controls signals Measurements

    Interface to control systems, commands and monitoring

    Network DC Link Motor supply

  • Control of Power SemiconductorsControl of Power Semiconductors

    ON OFF

    ConductionLosses

    SwitchingLosses

    Off-stateLosses

  • Power SemiconductorsPower SemiconductorsUncontrolled devicesUncontrolled devices

    The diode is an uncontrolled device. The diode is an uncontrolled device.

    It will conduct current if positively biased, and block for currIt will conduct current if positively biased, and block for currents when ents when negatively biased, depending on the surrounding conditions.negatively biased, depending on the surrounding conditions.

    u

    i+u-

    iu

    i

    symbol ui char. ideal analogy

  • Power SemiconductorsPower SemiconductorsTurnTurn--on controllable deviceson controllable devices

    The thyristor is a device that without a gate firing signal willThe thyristor is a device that without a gate firing signal will block currents in both block currents in both directions. If positively biased and in blocking mode, a gate fidirections. If positively biased and in blocking mode, a gate firing signal (current ring signal (current pulse) is given, the thyristor will conduct until the surroundinpulse) is given, the thyristor will conduct until the surrounding circuits force the g circuits force the current to reverse. The thyristor will then enter blocking mode current to reverse. The thyristor will then enter blocking mode by itself, until by itself, until positively biased and a new gate firing signal is given.positively biased and a new gate firing signal is given.

    u

    i+u-

    iu

    i

    symbol ui char. ideal analogy

  • Power SemiconductorsPower SemiconductorsTurnTurn--on and turnon and turn--off controllable devicesoff controllable devices

    The transistor is the most known component. The transistor is the most known component.

    If positively biased, the transistor can be turned on from a bloIf positively biased, the transistor can be turned on from a blocking condition by cking condition by giving a continuous gate firing signal. If removing the gate firgiving a continuous gate firing signal. If removing the gate firing signal, the transistor ing signal, the transistor will rewill re--enter blocking mode, even if positively biased. A transistor is enter blocking mode, even if positively biased. A transistor is normally not normally not designed to tolerate negative voltage bias, unless special considesigned to tolerate negative voltage bias, unless special considerationsderations

    u

    i+u-

    iu

    i

    symbol ui char. ideal analogy

  • Variable Speed Drives (VSD)Variable Speed Drives (VSD)

    The most commonly used converters for motor drives are: Voltage source inverter (VSI) type converters

    for AC motors, normally asynchronous motors Cycloconverters (Cyclo) for AC motors,

    normally for synchronous motors Current source inverter type (CSI) converters

    for AC motors, normally synchronous motors DC converters, or SCR (Silicon Controlled Rectifier)

    for DC motors

  • DC MotorDC Motor

    DC

    +-

    R

    E=nxIfxke

    n +Ua-

    Ua=E+RxIa

    Ia

    Ia

    n

    Ua

    E

    RxIa

    Ua,max

    If,maxIf

  • Control Strategies for AM (IM)Control Strategies for AM (IM)

    Scalar ControlScalar Control Rotor Flux Vector ControlRotor Flux Vector Control Stator Flux Vector ControlStator Flux Vector Control

    Vs

    n : 1

    Rs Ls Rr / sLr

    LmRm Vs

    Rs Ls Lr

    LmRm

    Rr / s* *

  • AC MotorAC Motor

    AC

    +-

    R

    E=nxxke

    n +ua-

    Ua=E+(jL+R)xIa= E+(j2fL+R)xIa =E+(j2PnL+R)xIa

    ia

    Ia

    n

    Ua

    E

    (jL+R)xIa

    Ua,max

    maxL

  • DOL Asynchronous MotorDOL Asynchronous Motor

    Speed

    Slip1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0

    10.90.80.70.60.50.40.30.20.10 snn

    s

    s

    nnn

    Stator current

    TorqueLoad curves- full pitch- zero pitch

  • DC Drive DC Drive (SCR (SCR -- silicon controlled rectifier)silicon controlled rectifier)

    PM

    cos = 0...0.96constant current

  • CSI Drive and Synchronous motorCSI Drive and Synchronous motor

    PM

    six-step waveformcos = 0...0.96

    constant current

  • Cycloconverter and Synchronous MotorCycloconverter and Synchronous Motor

    PM

  • Voltage Source Inverters (VSI)Voltage Source Inverters (VSI)

    PM

    cos = 0.95 (constant)

    constant voltage

    near sinusoidalcurrents

  • DOLasynchronousmotor + CPP

    SCR DCmotor drive

    Cyclo- 1

    converterCSI (LCI) 2 VSI PWM 3

    Start-up amps Typ. 5 x ratedcurrent

    0(transformer

    inrush)

    0(transformer

    inrush)

    0(transformer

    inrush)

    0(transformer

    inrush)Start-up torque transients Typ. 2-3 x

    rated torque 0 0 Up to 50% of

    rated torque 0

    Power consumption, lowthrust

    15% ofnominalpower

    0 0 0 0

    Amps at low thrust 45-55%of nominal

    F(torque) F(torque) F(torque) 0

    Power Factor - full load 0.85 > 0.9 > 0.76 > 0.9 > 0.95

    Power factor variation withload (cos)

    0.15 .. 0.85(non-linear)

    0 .. 0.9(prop. speed)

    0 .. 0.76(prop. speed)

    0 .. 0.9(prop. speed)

    > 0.95( constant)

    Dynamic response (power,torque)

    3-5 sec(pitch control)

    < 100 ms < 100 ms Slower < 50 ms

    Torque ripple None Smooth Smooth Pulsating SmoothZero-thrust crossing Smooth if

    negative thrustallowed

    Discontinuous Smooth Pulsating Smooth

    Efficiency at full load High Lower High High HighHarmonic distortion:- at low speed /thrust- at full speed /thrust

    NoneNone

    F(torque)F(torque)

    F(torque)F(torque)

    F(torque)F(torque)

    0F(power)

    Short circuit contribution Typ. 5 xnominalpower

    No No No No

    Motor matching required - Some Some Yes NoCommutator No Yes No (sliprings) No (sliprings) No

  • 1212--pulse Rectifierpulse Rectifier

    Vdc =2x1.35xVll

    Ddytransformer

    Vdc =1.35xVll

    Series connection Parallel connection

    Ddytransformer

  • Harmonic distortion, 12Harmonic distortion, 12--pulsepulse11kV line-line voltages 11kV line currents

    1750V line currents 1750V D-winding currents

  • Pulse Width Modulation

    Generation of ONGeneration of ON--OFF signalsOFF signals

    0 5 10 15 2

    OnOff

    Upper and lower switchingelements are switched in opposite orders:- ON: Upper = on, Lower = off- OFF: Upper = off, Lower = on

    0 5 10 15 20 5 10 15 20 5 10 15 2

  • Pulse Width ModulationPulse Width Modulation

    a

    b

    b-a

    PM

  • ThreeThree--level, Zero Voltage Clampedlevel, Zero Voltage Clamped

    Vdc/2

    Phase 1

    +

    0

    _

    Phase 2 Phase 3

    Vdc/2

    +

    0

    _

    Phase

    +

    0

    _

    Phase

    +

    0

    _

    Phase

    +

    0

    _

    Phase

    +

    0

    _

    Phase

    +

    0

    _

    Phase

    Positive Current:

    Negative Current:

    a) b)

  • Motor Voltage, Current, TorqueMotor Voltage, Current, TorqueTorque

    Line to line voltage

    Current

  • Simulation and Control DiagramSimulation and Control Diagram

    Speedcontrol

    PI

    Torquelimitation

    Speedlimitation

    Speedreference

    Torquereference

    Torquecontrol loop

    Speed

    Torquereference

    1

    1 + Ts

    Torque

    1

    J s

    Motorinertia

    KpTiS

    (1 + Tis)

    Loadcurve

  • Operation Boundaries VSD IM(AM)Operation Boundaries VSD IM(AM)

    Constant torqueregion

    Field weakeningregion

    RPM

    Magnetic flux level

    Maximum torque boundary

    Maximum stator current boundary

    Stator voltage

    Stator frequency

    Pitching momentlimitation

  • Operation Boundaries VSD IM(AM)Operation Boundaries VSD IM(AM)

    Constant torqueregion

    Field weakeningregion

    Speed

    Maximum torque boundaryBollard Pull, V=0

    Sailing, V>0

    RPM

  • Quadrants of OperationQuadrants of Operation

    Speed

    Torque

    P0

    P>0 P0, Torque

  • Power SemiconductorsPower Semiconductors

    IGBTLow voltage

    IGCTMedium voltage

  • 690V Motor drive for AM(IM)690V Motor drive for AM(IM)

  • 3.3kV Motor drive for AM(IM)3.3kV Motor drive for AM(IM)

  • HarmonicsHarmonics

  • HarmonicsHarmonicsAll periodic waveforms can be expressed as a sum of a All periodic waveforms can be expressed as a sum of a series of sinusoidal functions with frequency equal to the series of sinusoidal functions with frequency equal to the multiple of the fundamental frequency, i.e.:multiple of the fundamental frequency, i.e.:

    ...)sin(

    ...)3sin()2sin(

    )sin()(

    1

    313

    212

    11

    +

    ++

    +

    ++

    ++

    +

    =

    hh

    dc

    thu

    tutu

    tuutu

    -150

    -100

    -50

    0

    50

    100

    150

    0 8 16 24 32 40 48 56 64 72 80 88 96 104

    112

    120

    128

    136

    144

    152

    160

    168

    176

    184

    192

    200

    208

    216

    224

    232

    240

    248

    256

    264

    272

    280

    288

    296

    304

    312

    320

    328

    336

    344

    352

    360

  • Ideal current waveforms, Ideal current waveforms, large inductorlarge inductor

    Vdc = 1.35xVll

    6-pulse 12-pulse

  • Example Example -- square wavesquare wave

    -15

    -10

    -5

    0

    5

    10

    15

    0 8 16 24 32 40 48 56 64 72 80 88 96 104

    112

    120

    128

    136

    144

    152

    160

    168

    176

    184

    192

    200

    208

    216

    224

    232

    240

    248

    256

    264

    272

    280

    288

    296

    304

    312

    320

    328

    336

    344

    352

    360

    h=1h=5

    h=7h=11

    h=13

    )37sin(3710...)35sin(

    3510...

    )7sin(7

    10)5sin(5

    10)sin(10)(

    11

    311

    1

    tt

    tt

    ttu

    +++

    +

    +++

    =

  • Harmonic DistortionHarmonic Distortion

    ,...,,,h,..,,nxnh

    1311752116

    ===

    ,...25,23,13,11,...2,1,112

    ===

    hnxnh

    6-Pulse

    12-Pulse

    )1(

    2

    2)(

    %100i

    iTHD h

    h==

    0 %

    5 %

    10 %

    15 %

    20 %

    25 %

    1 2 3 4 5 6 7 8 9 10 11 12

    Ih(6-p)Ih(12p)

    5 7 11 13 17 19 23 25 29 31 35 37

  • Harmonic AnalysisHarmonic Analysistwo different methodstwo different methods

    Frequency domain calculationFrequency domain calculation Harmonic current injection and impedance modelsHarmonic current injection and impedance models Easy to build up large systemsEasy to build up large systems Short calculation times, also with large systemsShort calculation times, also with large systems Need accurate harmonic spectrum and modelsNeed accurate harmonic spectrum and models

    Time domain calculationTime domain calculation Circuit diagramCircuit diagram modellingmodelling Complicated to build up large systemsComplicated to build up large systems Time consuming to simulate large systemsTime consuming to simulate large systems Calculates accurate harmonic spectrum withCalculates accurate harmonic spectrum with

    proper modelsproper models

  • Example Power SystemExample Power System

    Vessel Loads

    Propulsion Auxilliaries

  • Single LineSingle Line

    G G G G

    M M

    M M M

    MMMM

    M

  • Impedance model for Impedance model for harmonic current injection modelharmonic current injection model

    10

    1m

    1m

    2m

    10 1m

    1m

    0.5m

    10m

    3m

    2m

    1mv_sin

    Harm load 1

    Load 1

    Load 2

    Load 3

    Generator 1

    Cable 1

    3m

    2m 2m

    2m

    Trafo 1

    2m

    v_sin

    Bus 1

    Bus 2

    Load 4

    101m

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    2 4 6 8

    1

    0

    1

    2

    1

    4

    1

    6

    1

    8

    2

    0

    2

    2

    2

    4

    2

    6

    2

    8

    3

    0

    3

    2

    3

    4

    3

    6

    3

    8

    4

    0

    4

    2

    4

    4

    4

    6

    4

    8

    5

    0

  • Circuit model for time simulationCircuit model for time simulation

    EL R

    EL R

    EL R

    EL R

    EL R

    EL R

    R

    EL R

    EL R

    EL R

    L R

    L R

    L R

  • Harmonic distortion, 12Harmonic distortion, 12--pulsepulse11kV line-line voltages 11kV line currents

    1750V line currents 1750V D-winding currents

  • Current and Voltage Distortion, VSICurrent and Voltage Distortion, VSI

    Approx8% THD

  • Theoretical vs. real 12pTheoretical vs. real 12p--harmonicsharmonics

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    2 4 6 8

    1

    0

    1

    2

    1

    4

    1

    6

    1

    8

    2

    0

    2

    2

    2

    4

    2

    6

    2

    8

    3

    0

    3

    2

    3

    4

    3

    6

    3

    8

    4

    0

    4

    2

    4

    4

    4

    6

    4

    8

    5

    0

    1h

  • ComparisonComparisonTime simulation Time simulation -- Injected harmonics (Injected harmonics (IIhh = 1/h)= 1/h)

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    2 4 6 8

    1

    0

    1

    2

    1

    4

    1

    6

    1

    8

    2

    0

    2

    2

    2

    4

    2

    6

    2

    8

    3

    0

    3

    2

    3

    4

    3

    6

    3

    8

    4

    0

    4

    2

    4

    4

    4

    6

    4

    8

    5

    0

    Time sim.approx

    8% THDv Inj. harm.approx

    20% THDv

  • Harmonic AnalysisHarmonic Analysistwo different methodstwo different methods

    Frequency domain calculationFrequency domain calculation Harmonic current injection and impedance modelsHarmonic current injection and impedance models Easy to build up large systemsEasy to build up large systems Short calculation times, also with large systemsShort calculation times, also with large systems Need accurate harmonic spectrum and modelsNeed accurate harmonic spectrum and models

    Time domain calculationTime domain calculation Circuit diagramCircuit diagram modellingmodelling Complicated to build up large systemsComplicated to build up large systems Time consuming to simulate large systemsTime consuming to simulate large systems Calculates accurate harmonic spectrum withCalculates accurate harmonic spectrum with

    proper modelsproper models

  • Managing HarmonicsManaging Harmonics

    Generator design, Generator design, subtransient subtransient reactancereactance Selection of converter typeSelection of converter type Design of drive transformer / inductorDesign of drive transformer / inductor Passive filtersPassive filters Active filtersActive filters Clean power supplyClean power supply Selection of equipmentSelection of equipment Know your system!! Analysis and freq. scanKnow your system!! Analysis and freq. scan

  • Generator Generator SubtransientSubtransient ReactanceReactance

    Harmonic currents injected in the system Harmonic currents injected in the system distort the voltage on generator terminalsdistort the voltage on generator terminals Subtransient Subtransient reactance is found either as:reactance is found either as:

    Average Average subtransientsubtransient reactance: (reactance: (xxdd++xxqq)/2)/2 Negative sequence reactance: xNegative sequence reactance: x--

    Low Low subtransient subtransient reactance will increase reactance will increase generators dimensions, weight, and costsgenerators dimensions, weight, and costs

    LowLow subtransientsubtransient reactance will increase reactance will increase short circuit currentshort circuit current

  • Selection of Converter TypeSelection of Converter Type

    Different topologies have different spectrumDifferent topologies have different spectrum VSI : low harmonicsVSI : low harmonics CSI : high harmonics, CSI : high harmonics, interharmonicsinterharmonics Cycle : wide band high high harmonicsCycle : wide band high high harmonics DC (SCR) : high harmonics, DC (SCR) : high harmonics, interharmonicsinterharmonics

    Pulse number, i.e. 6, 12, 18, 24, 48,Pulse number, i.e. 6, 12, 18, 24, 48, Active front end (harmonicActive front end (harmonic--less design)less design)

  • Current and Voltage Distortion, CSICurrent and Voltage Distortion, CSI

    Approx10% THD

  • 1212--pulse Rectifierpulse Rectifier

    Vdc =2x1.35xVll

    Ddytransformer

    Vdc =1.35xVll

    Series connection Parallel connection

    Ddytransformer

  • Design of Drive TransformerDesign of Drive Transformer

    Drive transformer or inductorDrive transformer or inductor High s.c. impedance reduces harmonicsHigh s.c. impedance reduces harmonics High s.c. impedance give a load dependent High s.c. impedance give a load dependent

    voltage drop, and reduced max power outputvoltage drop, and reduced max power output

    Use of ZUse of Z--winding in order to achieve winding in order to achieve quasi 24 pulse with two 12 pulse convertersquasi 24 pulse with two 12 pulse converters quasi 48 pulse with two 24 pulse convertersquasi 48 pulse with two 24 pulse converters

    EMC: Grounded shield between EMC: Grounded shield between pripri. and sec.. and sec.

  • Passive FiltersPassive Filters Passive filters are used to create a low Passive filters are used to create a low

    impedance path for harmonic currents with a impedance path for harmonic currents with a serial resonanceserial resonance

    Normally one or twoNormally one or two parallellparallell connected LC connected LC filters tuned to the frequency of the worst filters tuned to the frequency of the worst harmonic currents, e.g. for 12 pulse:harmonic currents, e.g. for 12 pulse: 11th harmonic (also efficient for 13th)11th harmonic (also efficient for 13th)

    Warning 1: Parallel resonance occurs normally at Warning 1: Parallel resonance occurs normally at about 1/2 of series resonanceabout 1/2 of series resonance

    Warning 2: Capacitive limit for generatorsWarning 2: Capacitive limit for generators

  • Passive FilteringPassive Filtering

    G G G G

    M M

    M M

    MMMM

    filter filter

  • Passive FilteringPassive Filtering

    L

    C

    First order undamped LC filter

    Lg

    Aggregated Generator / motor model

    Z()

  • Frequency Response Z(Frequency Response Z())

    Generator2 . . f . Lg

    Filter

    Resulting

    f / f1

    Z

    5 7 11 13

  • Passive Filtering Passive Filtering -- two stepstwo steps

    Z()

    L

    C

    First order 5th harm undamped LC filter

    Lg

    Aggregated Generator / motor model

    L

    C

    First order 3rd harmundamped LC filter

  • Frequency response Z(Frequency response Z())

    Generator2 . . f . Lg

    Filter

    Resulting

    f / f1

    Z

    5 7 11 13

  • Active FilterActive Filter

    G

    M

    ActivefilterNon-

    linear load

    i1 i2

    ig = i1+i2

    1 3 5 7 9

    1

    1

    1

    3

    1

    5

    1

    7

    1

    9

    2

    1

    2

    3

    2

    5

    2

    7

    2

    9

    3

    1

    3

    3

    3

    5

    3

    7

    3

    9

    4

    1

    4

    3

    4

    5

    4

    7

    4

    9

    5

    1

    5

    3

    5

    5

    5

    7

    5

    9

    6

    1

    6

    3

    6

    5

    6

    7

    6

    9

    7

    1

    7

    3

    7

    5

    7

    7

    7

    9

    8

    1

    8

    3

    8

    5

    8

    7

    8

    9

    igi1

    i2

    HF filter

  • Clean Power SupplyClean Power Supply

    Rotating ConverterRotating ConverterMotorMotor--GeneratorGenerator

    Static ConverterStatic ConverterPWM converter PWM converter with HF filterwith HF filter

    UPSUPSPWM converter with PWM converter with HF filter and battery HF filter and battery DC link backupDC link backup

    Dirty net withhigh distortion

    Rectifier(AC to DC)

    Inverter(DC to AC)

    Inverter(DC to AC)

    Rectifier(AC to DC)

    M G

    Clean net without distortion

  • Selection of Selection of EquimpentEquimpent

    High tolerance for harmonic distortionHigh tolerance for harmonic distortion Uncompensated Uncompensated flouorescent flouorescent light, capacitive light, capacitive

    compensators will be overloadedcompensators will be overloaded True RMS measurement circuits in protection True RMS measurement circuits in protection

    devicesdevices Electronic rectifiers can be overloaded if high Electronic rectifiers can be overloaded if high

    distortion, avoid sensitive equipmentdistortion, avoid sensitive equipment If necessary, local filtering or UPS supply.If necessary, local filtering or UPS supply.

    Cheaper than overall filteringCheaper than overall filtering

  • Impedance model for Impedance model for harmonic current injection modelharmonic current injection model

    10

    1m

    1m

    2m

    10 1m

    1m

    0.5m

    10m

    3m

    2m

    1mv_sin

    Harm load 1

    Load 1

    Load 2

    Load 3

    Generator 1

    Cable 1

    3m

    2m 2m

    2m

    Trafo 1

    2m

    v_sin

    Bus 1

    Bus 2

    Load 4

    101m

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    2 4 6 8

    1

    0

    1

    2

    1

    4

    1

    6

    1

    8

    2

    0

    2

    2

    2

    4

    2

    6

    2

    8

    3

    0

    3

    2

    3

    4

    3

    6

    3

    8

    4

    0

    4

    2

    4

    4

    4

    6

    4

    8

    5

    0

  • Frequency ScanFrequency Scan

    102 103 104 1050

    2000

    4000

    6000

    8000

    M

    a

    g

    .

    (

    o

    h

    m

    s

    )

    102 103 104 105

    -100

    -50

    0

    50

    100

    P

    h

    a

    s

    e

    (

    d

    e

    g

    r

    e

    e

    s

    )

    Frequency (Hz)

  • Frequency ScanFrequency Scan

    102 103 104 1050

    0.5

    1

    1.5

    2x 10 4

    M

    a

    g

    .

    (

    o

    h

    m

    s

    )

    102 103 104 105-100

    -50

    0

    50

    100

    P

    h

    a

    s

    e

    (

    d

    e

    g

    r

    e

    e

    s

    )

    Frequency (Hz)

  • Transient OvervoltagesTransient Overvoltages

    ResonanceResonance Faults (earth faults, short circuits)Faults (earth faults, short circuits) Switchgear operationsSwitchgear operations

    OpenOpen inductive current interruptioninductive current interruption virtual choppingvirtual chopping restrikesrestrikes

    CloseClose surge voltagessurge voltages prestrikesprestrikes

  • Transient Overvoltage ManagementTransient Overvoltage Management

    Equipment designEquipment design power frequency: power frequency:

    dielectric dielectric strengthtstrengtht high frequency: high frequency:

    impulse voltageimpulse voltage

    ProtectionProtection Surge arrestersSurge arresters Surge capacitorsSurge capacitors