A-Seminar-A Review of Active Power Filter

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    1

    A Review

    of

    ACTIVE POWER FILTERS

    Prepared by

    PARK K I-WON

    R&D Center , POSCON

    2001 . 02. 09

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    2. Source o f Harm onic s

    Non-linear magnetization of a transformer

    Very small compared to rated current

    Power electronics based equipment

    UPS, PC, Welder, Printer

    Rectifier, Variable Speed Drive

    Due to discontinuous current flows

    [ ]Wb

    [ ]Ai [sec]t

    ( )t ( )ti

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    ( )tiline

    C

    LoadLoadLoadLoadACACACAC

    SupplySupplySupplySupply

    Voltage Source Type Harmonic Diode rectifiers with capacitive filtering

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    Current Source Type Harmonic Thyristor converters with inductive filtering

    ( )tiline

    L

    LoadLoadLoadLoadACACACAC

    SupplySupplySupplySupply

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    6

    3. St andards/Guides on Harm onic L im i t s

    IEC 1000-3-2( International Electrotechnical Commission )

    Harmonic current emission limits for individual equipments

    Small equipments < 16A

    European standard (CELENEC)

    IEC 1000-3-4

    Harmonic current limits of overall installation

    Medium to large installations >16A Related to line stiffness (SCC)

    IEEE 519-1992

    Limits at PCC (Interfacing)

    Harmonic voltage limits for utility company

    Harmonic current limit for customers(

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    4. How Harm onic Reduc t ion/El im inat ion?

    Line-Friendly Load

    Multi-pulsed system : Series and/or parallel

    Active current shaping( PFC converter )

    Passive Filters

    Simple, low cost, robust

    Sensitive to environments: line impedance, load change, ageing of component

    Subject to parallel/series resonance Easily overloadable : switch off or be damaged, plant modification

    Over Compensation at which have already a good power factor

    Active Filters

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    Series vs. Shunt

    Shunt Tuned Filter

    High voltage: 50 < Q < 150

    Low voltage: 10 < Q < 50

    LC

    1 C

    L

    R

    C

    L

    RQ

    1=

    C

    1 L

    R

    FZ

    )(FZ

    5. Passi ve Fi l t ers

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    LC

    1 C

    L

    R

    FZ

    C

    1 L

    R

    )(FZ

    bRbR

    CRb

    1

    Damped High-Pass Filter (2nd order)

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    Non-linearload

    Powersystem I5 I7 I11 Ih

    IS I1

    IL

    5th

    tunedfilter

    7th

    tunedfilter

    11th

    tunedfilter

    High-passfilter

    Typical Passive Filter System

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    11

    6. Paral l e l Resona nc e Due to load current harmonic Voltage distortion will be very high

    Overvoltage

    ACACACACSupplySupplySupplySupply

    L

    C

    parallelZ

    hihi

    )1(11

    1

    2

    2=

    =

    += LCwhen

    LC

    Lj

    CjLj

    CjLj

    Zparallel

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    Para l le l Resonance w i t h Pass ive Fi l t e r

    FZ

    SZ

    LhI

    ShI LhI

    FhI

    FSSF ZZZ ||=

    LC

    1

    R

    C

    1

    L

    )||( LLS

    SL

    1 (0dB)

    CLS

    1

    CLLS )||(

    1

    Lh

    Sh

    I

    I

    SFZ

    LL

    L

    S +

    CLS2

    1

    Parallel resonance Tuned frequency

    CLLS )(

    1

    +

    CLLSp

    )(

    1

    +

    C

    LL

    RRQS

    Sp

    +

    +

    1

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    Possible Cause of Parallel Resonance

    Detuning Filter : shift of resonance frequency

    Capacitance change due to fuse blow

    C and L may be damaged

    Temperature

    Line structure change

    Typical Design Practice

    Tuned to slightly lower harmonic frequency (3~10%)

    Effect of Ls (SCC)

    High Ls : good for avoiding parallel resonance

    Higher Ls : Higher Q for parallel resonance

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    7. Ser ies Resonan c e

    hv

    DistortedDistortedDistortedDistorted

    SupplySupplySupplySupply

    L

    C

    seriesZ

    hi

    hv

    )1

    (011

    CLwhen

    CLj

    CjLjZseries

    =

    =+=

    Due to line voltage harmonics Excessive harmonic current flow

    Overload, Breakdown

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    Series Resonance Due to Neighborhood Harmonic Source

    1TRZPCCPCCPCCPCC

    h

    i

    ............

    Plant #1Plant #1Plant #1Plant #1

    2TRZ

    Plant #2Plant #2Plant #2Plant #2

    ACACACAC

    SupplySupplySupplySupply

    FilterFilterFilterFilter

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    Equivalent Circuits Transforms

    hI

    2TRZ

    LIFZ1TRZ

    ShV LIFZ

    1TRZ 2TRZ

    SZ

    1TRhSh ZIV =

    PCC

    Series Resonancewill be occurred

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    8. Troub les due to Harm onic Po l lu t ions

    Heating of the electrical equipment

    Trip of circuit breaker

    Fuse blown Capacitor damage kWh fault Loss of motor winding and iron

    Perturbing torques on the motor shaft

    Damage of Sensitive electronic equipment Malfunction of PLL circuit Communication interference

    Parallel and Series Resonance will occured Increase of RMS and Peak Value Excessive Neutral Currents

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    9. Mot iva t ions fo r tak ing ac t ion aga ins t Harmon ics

    Harmonics lead to premature ageing of the electrical Installation

    Excessive amount of harmonics must eliminatefor economic reasons

    The utility company impose penalties on users

    Harmonic pollution may disturb equipment in other plants

    THD limitation of voltage / current present at PCC

    IEC 1000-3-6 : Assessment of emission limits for disturbing loadsin MV and HV power systems

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    10. Func t ion of A PFs

    Main function

    Compensate current and voltage harmonic.

    Additional functions

    Current-related compensation

    Reactive power, current unbalance, neutral current

    Using shunt-APF for the most part

    Voltage-related compensation

    Voltage unbalance, flicker, spikes, regulation

    Using series-APF for the most part

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    Converter-based classification

    VSI (Voltage Source Inverter) bridge structure

    CSI (Current Source Inverter) bridge structureTopology-based classification

    Shunt APF

    Series APF

    UPQC : Shunt APF + Series APF

    Hybrid APF : Shunt or Series Active Filter + Passive Filter

    Supply-system-based classification

    Two-wire APF

    Three-wire APF Four-wire APF

    11. Class i f ica t ion o f Act ive Fi l t e rs

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    12. Conver ter based c lass i f ica t ion

    CSI

    Switching frequency is restricted

    Higher losses

    Cannot be used in multilevel

    VSI

    Self-supporting dc voltage

    Lighter, cheaper

    Expandable to multilevel

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    Shunt APF stand-alone

    Eliminate current harmonics

    Reactive power compensation

    Balancing unbalanced current

    Nonlinear

    Load

    Shunt Active Filter

    iF

    Nonlinear

    Load

    Seies Active Filter

    vF

    13. Topology based c lass i f ica t ion

    Series APF stand-alone

    Eliminate voltage harmonics

    Regulate and balance the terminal voltage

    Damp out harmonic propagation

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    Nonlinear

    Load

    optional

    Series Shunt

    UPQC : Uni f ied Pow er Qual i t y Condi t ioner

    Eliminate voltage and current harmonics

    Damp out harmonic propagation

    Load voltage regulation and current balancing

    Another name is Universal APF Fundamental power flow control: Low power version of UPFC in FACTS

    Large cost and control complexity

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    Hybr id APF( Com binat ions of Pass ive-Ac t ive )

    Parallel combination of shunt-APF and shunt passive filter

    Current source vs. Harmonic sinkSeries combination of series-APF and series passive filter

    Voltage source vs. Harmonic damping

    Hybrid of series-APF and shunt passive filter

    Harmonic isolation vs. Harmonic compensation

    Reduced size and cost : Quite popularHybrid of shunt-APF and series passive filter

    Harmonic isolation vs. Harmonic blocking

    Series combination of shunt-APF and shunt passive filter

    Resonance damping vs. Harmonic compensation

    Parallel combination of series-APF and series passive filter

    Enhancing passive filter vs. Harmonic blocking

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    Nonlinear

    Load

    Shunt Active Filter

    NonlinearLoad

    Series Active Filter

    Harmonic cancellation

    Q control

    Optimal sharing is needed

    Commercialized

    Harmonic damping

    Existing passive filter

    Low power

    More circuit for Q control

    Overcurrent protection

    is difficult

    Parallel combination ofshunt-APF and shunt passive filter

    Hybrid ofseries-APF and shunt passive filter

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    Nonlinear

    Load

    Series Active Filter

    Harmonic cancellation and damping

    Series-APF enhanced existing passive filter

    Easy protection is possible

    Current Transformer is minimized

    No Q control

    Under developed

    Series combination ofseries-APF and shunt passive filter

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    14. Supply-syst em based c lass i f ica t ion

    Two-wire APF

    Single-phase nonlinear loads, such as domestic appliances

    Smaller rating

    Three-wire APF

    Three-phase nonlinear load without neutral, such as ASDs

    Four-wire APF Single-phase nonlinear loads fed from four-wire supply system,

    such as computers, commercial lighting

    Eliminate excessive neutral current and unbalance

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    Capacitor midpoint four-wire shunt APF

    Used in smaller ratings,because entire neutral current flows through dc bus capacitor

    Sae

    Sbe

    Sce

    Sai

    Sbi

    Sci

    Lai

    Lbi

    Lci

    Cav

    Cbv

    Ccv

    cL

    n

    CaiCbiCciCni

    Sni

    dcC

    Non-Linear Four-wire

    Unbalanced Loads

    Lni

    n

    dcC

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    Four-pole four-wire shunt APF Fourth pole is used to stabilized the neutral of APF

    Sae

    Sbe

    Sce

    Sai

    Sbi

    Sci

    Lai

    Lbi

    Lci

    Cav

    Cbv

    Ccv

    cL

    n

    CaiCbiCciCni

    Sni

    dcC

    Non-Linear Four-wireUnbalanced Loads

    Lni

    n

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    Three-bridge four-wire shunt APF Quite common type Proper voltage matching for IGBT, Enhances the reliability of APF

    Sae

    Sbe

    Sce

    Sai

    Sbi

    Sci

    Lai

    Lbi

    Lci

    Cbv Ccv

    n

    Cai Cbi Cci

    Sni

    dcC

    Non-Linear Four-wire

    Unbalanced Loads

    Lni

    Cav

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    First stage : Signal conditioning

    Sensing system information by PT, CT, Isolation amplifiers

    Monitor, measure, record

    : THD, power factor, active/reactive power, crest factor

    Second Stage : Derivation of compensating signal

    Current level and/or voltage level

    Frequency domain

    : Based on Fourier transformation: Cumbersome computation, large response time

    Time domain

    : Based on instantaneous derivation

    : pq theory, synchronous dq reference frame method, synchronous

    detection method, flux-based controller, notch filter method

    Third stage : Generation of gating signal

    Hysteresis, PWM, SVPWM, sliding mode, fuzzy-logic

    15. APF Cont ro l Stra t egies

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    16. Com ponent c ons iderat ions o f APF

    Series inductor : buffer between supply and PWM voltagePassive ripple filter : suppress switching harmonic and improve source THDDC bus capacitor : reduces dc ripples

    Cai

    Cbi

    Cci

    Cav

    Cbv

    Ccv

    cL

    dcCdcv

    p

    n

    dci

    dc bus capacitor

    passive ripple filter

    series inductor

    IGBT

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    17. Bas ic Conc ept o f Ac t ive Fi l t e r Cont ro l

    Active Filter as a Harmonic Canceller

    Harmonic current detection

    AndCurrent control method

    Harmonic voltage detection

    AndVoltage control method

    SL

    Shunt-APF

    fS ii = hfL iii +=

    hC ii =

    detectionih

    Sv Li

    SL

    Series-APF

    hC vv =

    hf

    S

    vv

    v

    +=

    detectionvh

    Sv LifL vv =

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    Active Filter as a Harmonic Damper

    SL

    Shunt-APF

    h

    hC

    Z

    vi =

    detectionvh

    Sv Li

    SL

    Series-APF

    hhF iZv =

    detectionih

    Sv Li

    Harmonic voltage detection

    AndCurrent control method

    Harmonic current detection

    AndVoltage control method

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    18. Cont ro l Based on Sync hronous d-q Transform at ion

    Definition of Synchronous d-q transformation

    3

    2,

    )sin()sin(sin

    )cos()cos(cos

    3

    2

    =

    +

    +=

    where

    f

    f

    f

    f

    f

    c

    b

    a

    q

    d

    =

    =

    s

    q

    s

    d

    ee

    ee

    e

    q

    e

    d

    e

    q

    e

    d

    ee

    ee

    s

    q

    s

    d

    f

    f

    f

    f

    f

    f

    f

    f

    cossin

    sincos,

    cossin

    sincos

    =

    =

    +=+=

    +=+=

    mk qkm

    e

    qh

    e

    q

    e

    q

    mk

    dkm

    e

    dh

    e

    d

    e

    d

    iIiii

    iIiii

    311

    3

    11

    sin

    cos

    Transformed current with harmonics

    ( ) ( )

    ( ) ( )[ ]

    ( ) ( )[ ]ke

    k

    mkemb

    ke

    k

    mkemb

    ke

    k

    mkema

    kIIi

    kIIi

    kIIi

    +++=

    +=

    +=

    =

    =

    =

    coscos

    coscos

    coscos

    2

    1

    2

    1

    2

    1

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    Axes re lat ion be tw een abc and dq

    Stationary frame Synchronously rotating frame

    aa ff =

    3

    2j

    bb eff =

    3

    2j

    cc eff

    =

    s

    df

    s

    qf

    aa ff =

    3

    2j

    bb eff =

    3

    2j

    cc eff

    =

    s

    df

    s

    qf

    e+

    e+

    e

    d

    fe

    q

    f

    e

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    D-Q var iable in t im e dom ain

    Sae Sbe Sce

    mE

    2

    te

    t

    s

    Sqes

    Sde

    mE

    2te

    e

    Sde

    e

    Sqe

    mE

    2

    te

    Stationary

    Synchronously

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    Harmon ic loc us in Space Vect or

    5th in stationary frame 7th in stationary frame

    tj

    m

    tj

    m

    sss

    dqee eFeFfff

    5

    515

    1

    5

    1 +=+= tjmtj

    m

    sss

    dqee eFeFfff

    7

    717

    1

    7

    1+=+=

    s

    dqf

    e

    sf1

    sf5

    e5

    s

    df

    s

    qf

    s

    dqf

    e

    sf1

    sf7

    e7

    s

    df

    s

    qf

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    5

    th

    and 7

    th

    in stationary frame 5

    th

    and 7

    th

    synchronous rotatingvariable in stationary frametj

    m

    tj

    m

    tj

    m

    ssss

    dqeee eFeFeFffff

    75

    7517

    1

    5

    1

    7

    1

    5

    1++=++=

    tj

    m

    tj

    mm

    eeee

    dqee eFeFFffff

    66

    7517

    1

    5

    1

    7

    1

    5

    1++=++=

    s

    df

    e

    dqf

    sqf

    sdqf

    e

    sf1

    s

    df

    s

    qf

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    Overa l l bloc k d iagram of shunt -APF c ont rol l er

    Lai

    Lbi

    e

    Ldi

    e

    Lqi

    LPF

    e

    Ldi

    ===

    )1(0

    )0(

    K

    Kii

    e

    Lde

    Sd

    +

    LPF

    +

    1-K

    e

    Lqie

    Lq

    e

    Sq ii =

    *e

    Cdi

    *e

    Cqi+

    IPcontroller

    *dcv

    dcv

    +

    synchronous

    PI-controller

    ee

    *e

    Cdv

    *e

    Cqv

    seTjk

    e

    *'e

    Cdv

    *'e

    Cqv

    e

    3 se

    *s

    Cdv

    *s

    Cqv

    SVPWM

    *aT

    *bT

    *

    cT

    e3

    Cai

    Cbi

    e

    Cdi

    e

    Cqi

    HarmonicPhase DelayCorrection

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    Harm onic Phase Delay Correct ion Met hod

    )(*ki

    e

    C

    LPF

    )(*1 kie

    C

    )(*

    5 kie

    C

    )(*

    7 kie

    C

    5CI

    7CI

    seTj

    e

    6

    LPF

    5th Harmonic detection

    7th Harmonic detection

    +

    seTje6

    )(*

    11 kie

    C

    )(*

    13 kie

    C

    +

    +

    +

    +

    LPF1CI

    Fundamental detection

    +

    +

    +

    )1(*1 +kie

    C

    )1(*

    5 +kie

    C

    )1(*7 +kie

    C

    +

    +

    +

    +

    +

    +

    )1(*

    11 +kie

    C

    )1(*

    13 +kie

    C

    +

    +)1(* +ki eC

    eje6

    ej

    e

    6 ej

    e

    6

    eje6

    Harmonic phase delay correction in synchronous rotating frame

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    19. Cont rol Bas ed on p-q Theo ry

    =

    =

    c

    b

    a

    c

    b

    a

    e

    e

    e

    C

    e

    e

    e

    ee

    2

    3

    2

    30

    2

    1

    2

    1

    132

    =

    =

    c

    b

    a

    c

    b

    a

    i

    i

    i

    C

    i

    i

    i

    ii

    2

    3

    2

    30

    2

    1

    2

    1

    132

    aa ie

    ,

    bb ie

    ,

    cc ie

    ,

    32

    32

    32

    a-Axis

    b-Axis

    c-Axis

    0

    ie

    ,

    ie

    ,

    -Axis

    -Axis

    0

    - Transfomations

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    ccbbaa ieieiep ++=

    ieieiepieiep

    +==+= ,

    ieieieqieieq

    +=== ,

    Conventional instantaneous power

    ie

    ie

    e

    i

    ie

    REAL PLANE

    IMAGINARY AXIS

    -Axis

    -Axis Instantaneous real power

    Instantaneous imaginary power

    =

    =

    q

    p

    ee

    ee

    i

    i

    i

    i

    ee

    ee

    q

    p 1,

    Instantaneous power vs. current

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    p and q in Sinusoidal Case

    tVva cos2=

    )cos(2 += tVvb

    )cos(2 = tVvc

    )cos(2 = tIia

    )cos(2 += tIib

    )cos(2 = tIic

    tVv cos3=

    tVv sin3=

    )cos(3 = tIi

    )sin(3 = tIi

    cos3VIivivp =+=

    sin3VIivivq ==

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    p and q in Non-Sinuso idal Case

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    Overa l l bloc k d iagram of ser ies-APF c ont rol le r

    Fav

    Fbv

    Fcv

    HPF

    HPF

    Fv

    Fv

    Sai

    Sbi

    Sci

    Si

    Si

    p

    q

    hp

    hq

    a

    b

    c

    d

    q

    0=

    a

    b

    c

    d

    q

    0=

    =

    S

    S

    FF

    FF

    i

    i

    vv

    vv

    q

    p

    =

    h

    h

    FF

    FF

    hS

    hS

    q

    p

    vv

    vv

    i

    i1

    hSi

    hSi

    a

    b

    c

    d

    q

    0=

    K

    K

    K

    Sahi

    Sbhi

    Schi

    *Cav

    *Cbv

    *Ccv

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    20. Se lec t ion o f APF for spec i f ic c ons iderat ions

    9. Voltage Sag & Dips

    8. Voltage Flicker

    7. Voltage Balancing

    6. Voltage Regulation

    5. Voltage Harmonics

    4. Neutral Current

    3. Load Balancing

    2. Reactive Power

    1. Current Harmonics

    UPQCHybrid-APFSeries-APFShunt-APF

    Active Power Filters TopologyCompensation forspecific application

    Higher number of is more preferred