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  • 8/11/2019 High Frequency Modeling of Induction Motor Drives For

    1/7

    High Frequency M odeling

    of

    Induction Motor Drives for

    EM1 and Overvoltage Mitigation Studies

    L.

    Arnedo and

    K.

    Venkatesan

    Center for Power Electronic Systems

    Electrical and Com pute Engineering Department

    Unive rsity of Puerto Rico,Mayaguez C ampus

    The present work deals with a comparative study of different

    overvoltage mitigation techniques and

    their

    effect upon

    the

    COD

    ducted EMI emissions in

    an

    nduction

    motor

    dlive system.

    A

    de-

    tailed

    PSplce model

    of

    the system has been developed

    considering lumped parameter model

    with 64

    seclious for the

    cable and high frequeucy models for the

    IGBT

    PWM nverter

    and Induction motor.

    Simulanon

    results are compared

    with

    er-

    perimental results.

    Four

    overvoltage mitigation techniques such

    as

    RLC

    nverter

    output

    Nter, modified RLC inverter output

    fX-

    ter, RC Blter at motor te d n a l s and dv/dt control

    are

    consid-

    e r e d

    1.

    IR0DUCTION

    Advances

    in power electronic switching devices such

    as

    Power MOSFETs and IGBTs have enabled high tequency

    switching

    operatious

    and hence improved the performance of

    PWM inverters for feeding induction motors. However these

    new technologies have created new problems related to Elec-

    tromagnetic interference (Emand over-voltages at the ter-

    m i na l s

    of electric ma chi es [I].

    Presently EMC regulations are more stringent, imposing

    additional design objectives for power electronic systems.

    Some

    forms

    of filtering are required

    for

    the input and out-

    put(s)

    lines of

    equipmen t However, the optimum design a p

    poach is to minimize E M at the source of emission. This

    reduces the size and volume of the filter and reduces the

    p a -

    sibility EMI being radiated internally to other sen sitive com-

    ponents m the equipment.

    When an induction motor is con nected to a PWM IGBT

    inverter through a cable, over-voltage is caused at its termi-

    nals w i g lectric s t r e ss

    on

    nter-- insulation

    of

    motor

    windings.

    There are a lso parasitic currents referred as cam -

    mon mode (CM) and differential mode OM) currents flow-

    ing through the parasitic capacitances of the inverter, cable

    and m ot a. These high frequency currents create EMI prob-

    lems in

    the

    system.

    The frequency range o f interest for con-

    ducted E M

    n

    power electronics

    is

    usually from IO KHz to

    IO

    MHZ

    [Z].

    The over-voltage phenomenon ha s destructive effectsupon

    both cable and machine insulation system due the energy

    . contained in the transient overshoot caused by voltage wave

    reflection

    at

    the electric machine

    terminals.

    This phenomenon

    is also directly related with the conducted EM . There exists a

    close relationship hetween the over-voltage phenomenon and

    the E M problem through the rise and

    fall

    times of the volt-

    age pulses generated by the PWM Inverter. For voltage

    .

    .

    pulses with short rise times the voltage at motor terminal and

    the magnitude of the CM nd DM currents will increase and

    for voltage pulses with large rise time the voltage at motor

    terminal and the magnitude of the CM and DM urrents will

    decrease [3]. The overvoltage mitigations techniques change

    the rise and fall times of the incident pulses to cable or motor.

    It is important that the EMI and over voltage characteris-

    tics of the system must be analyzed and predicted in the d e

    sign stage. The simulation model of the system taking into

    account the noise cw en t paths would

    he

    useful

    for imple

    menting E M mitigation circuits in system design.

    In this work, a PSpice model of an electrical drive system

    that allows prediction of over voltage at the terminal of the

    motor and conducted EMI in presence of long feeders is d e

    vel& The m odel is used to study the effect

    of

    over-

    voltage mitigation techniques upon conducted emissions.

    11.

    DEVELOPMENTOF SYSTEM

    MODELXNP-SPICE

    A. HFPWMInvener Model

    For an accurate EMC model of the inverter it is necessary

    to take into a w u n t the

    HF

    parasitic paths. Fig. 1shows he

    HF quivalent circuit for one leg o fth e inverter [4].

    ~~~

    ( . c .

    -

    Fig 1

    Fig. 1

    Inverter

    model for

    EM1

    studies

    The most important parasitic paths of this circuit are: the

    parasitic inductance

    of

    the emitter

    Le

    and the internal para-

    sitic capacitances of the IGBT. The value of L s taken from

    d a ic e datasheet and parasitic capacitances of IGBT are in-

    cluded in the IGBT P-spice model. Stray inductances of the

    connecting wires (I.,) have very small values and affect prin-

    cipally the differential conducted emissions. For this study

    0-7803-78l7-~3I l7 .~

    ZW3

    EEE 468

  • 8/11/2019 High Frequency Modeling of Induction Motor Drives For

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    this inductance has been neglected because the P W M nverter

    is enclosed in a package and the length of the conn ecting wire

    is very small. The Stray capacitanceC, between the collector

    and grounded heatsink is measured mth an impedance ana-

    lyzer.

    In

    the

    HF

    range the equivalent circuit of the

    DC

    ink

    ca-

    pacitor consists of the series combina tion of capacitance , re-

    sistance and inductance, as sh o w in fig.2

    Ls

    Rs

    C s

    - : -

    Ca- bd-

    FO

    .

    F .

    2 . G

    Fig.

    2

    High

    kquency model ofDC

    link capacitor

    When the frequency ncreases the impedance of the capaci-

    tor

    decreases linearly at rate of -2OdEVdecade. Tb e im pedance

    of the indu ctor increase until it

    equals

    that of the capacitor at

    the point of resonance. At

    t h i s

    point the impedance

    is %.

    For

    higher frequencies the impedance of the inductor increases at

    rate

    of

    +20dB/decade. The im pedance of the DC link capaci-

    tor bas a strong effect upon the d ifferential conducted

    emis-

    sions [4].

    The parameters

    of

    the inverter used are given in append ix

    B.

    H

    Cable m o d 1

    The

    transient phenomena of cables have been explained

    in

    detail using transmission

    lie

    theory

    [ 5 ]

    and different cable

    model configurations used in studies of vo ltage reflection are

    presented in

    [a] In

    P-spice program

    although

    there are circuit

    simulation elements for transmission

    lines,

    the options

    are

    limited for multi-conductor cables. For o b t a i i g an ads

    quate model of the cable for high fiq ue nc y studies software

    Maxwell 2D xtractor is used.

    The Maxwell 2D extractor

    uses

    finite element method to

    compute the circuit parameter matrices such as inductance

    and capacitance for any arbitrary multi-conductor transmis-

    sion line. These circuit parameters depend upon the geometry

    of the structure and the characteristics of the materials that

    make up the s fmchue. Once computed, tbese circu it parame-

    ters c nbe transformed into a P-spice s sub circuit forming the

    lumned

    A

    reoresentation of the cable. In order

    to

    model aw

    experimentally determined values closely agree with the cal-

    culated values as

    shown

    in the same figure.

    Fig. 3

    Cable

    on ode

    impedance

    C. Induclion

    Motor model

    A

    motor model

    as

    s h o w in fig.4 suitable

    for

    low and bigh

    frequencies is used

    [SI.

    The model is based

    on

    the expeainten-

    tal observation of frequency

    response

    and an approximation

    of the distributedHFmotor model presented in

    [9]

    wfiere

    it

    is

    possible to identify three dominant capacitancesC,

    Ci,

    C, t

    high teqnencies.

    l l

    Limp

    m

    odel

    Fig.

    4 Induaimmotor

    model for

    wide frequency

    range

    In above C

    q i

    and %representing phase

    or

    neutral

    to

    ground capacitance, phase

    to

    phase capacitance, phase to neu-

    tral capacitance and eddy

    loss resistor

    are effective

    at high

    frequencies. Series impedance elements c onsisting of %, L

    and C, are associated with phase to ground and neutral to

    ground

    currentpaths

    at medium frequencies.

    propriately the cable in a wide frequency range

    64

    umped

    sections have been used [7]. Fig 3shows the variation of

    common mode impedance with frequ ency as calcu lated for a

    six meter SJ 4-14

    AWG

    cable using 64 lumped sections. The

    The advantages of this model are that the parameters can

    be determined by frequencyresponse tests and

    the

    model can

    be used

    for

    over voltage and condu cted

    EMI

    studies. This can

    be implemented in P-spice or Saber for analysis of inverter

    fed induction motor drive systems.

    469

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    I ll. S W AT IO N F OVR-VOLTAGE AND

    E M

    ble twe

    SJ-4

    14

    AWG.

    a 1/3 HP

    three

    Dhase 208

    V

    induc-

    tion -motor and LISN' was modeled

    ;or low

    and high

    points ofmeasurements

    are

    indicated in

    figure

    ,

    effectivenessOf

    the

    n predicting over-voltages f i q e n c Y

    studies,

    Typical results =e given below, The

    at motor terminals and conducted EMI in the system has been

    verified

    through

    experimental results. An induction motor

    Drive

    system consisting

    of

    a

    three

    phase

    PWM

    inverter,

    Ca-

    Fig. 5 Complete Dri

    Figure 6shows the simulated and experimental voltage

    pulses at the inverter and motor erminals when the lengtb

    of he cable connecting he inverter and motor s sixmeters

    and the

    rise

    time

    of

    the inverter voltage pulse is 110 ns.

    I*' _ ..,

    BXP*ri .(

    . ,

    I

    ..

    '*

    -.&

  • 8/11/2019 High Frequency Modeling of Induction Motor Drives For

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    VI

    OVERVOLTAGEITIGATION ECHNIQUES

    Conventional

    Ourput

    Filter

    A

    low-pass filter to reduce the d dd t

    of

    the inverter volt-

    form

    s passed

    viaually

    unchanged except

    for

    the delayed

    rise and fall limes [IO]. Fig.

    9

    shows the inverter

    output

    il-

    The developed models are

    used

    to analyze the effect of

    over-vo ltage mitigation techniqu es such a s Inverter output

    filter, motor terminal filter and dv/dt control upon con-

    ducted emissions,

    To

    compare the effectiveness

    of

    these

    age pulses is used at the inverter output The p m ave

    ...

    a

    strategies and their effect upon conducted emissions the

    same induction motor drive system is studied with the in-

    corporation of different types of filters

    Fig.

    9

    Drive

    System

    Wim

    Inverter

    Output Filter

    Figure.10 shows the line to line voltage at the inverter

    and at motor terminals without and with filta. The rise

    time of the inc ident pulse is 11Ons.

    A

    filter

    has

    been de-

    signed to reduce the over-voltage at th e terminals of the

    motor to

    10%

    of overshoot

    and

    increasing the rise tim e of

    the incident pulses ffom 1 Ons to 32Ons. Although the fil-

    ter reduces the overvoltage at motor terminals, there is no

    significant reduction

    in

    the conducted

    EMI

    emissions up to

    4 M H z as shown

    in

    Fig. 11;this is

    because

    the magnilude

    of the ulmmon mode voltage is still the same.

    Sf

    m

    u

    a

    Fig

    -

  • 8/11/2019 High Frequency Modeling of Induction Motor Drives For

    5/7

    Ill

    Fig. 12 .r)rve system

    with

    modified invertet output

    filter

    ...... ...... _i..... . in-&..................

    .........

    i

    .....

    . . . .

    . . .

    . . . .

    . . .

    . . . . .

    \ . . . . .

    ....

    ...

    .... ....

    ;.

    ....

    ..

    .... i

    ....

    i , : : I

    1 ; : i $ i j

    Fig.

    13

    Voltage at motm terminsls aud

    EMI

    conducted emis-

    I

    Y

    *

    a

    *

    2 1 1

    a

    e

    W.

    sions

    using modified inverter output filter

    RC

    tennination

    Filter

    The motor terminal over-voltage

    can he

    educed with a

    first order resistor-capacitor filter that is connected in par-

    allel with the motor taminals [IO]. With

    a

    designed filter

    the ova sho d pacentage is 14%. The total EMI emission

    does

    not change appreciably compared to a

    system

    without

    filter. Fig. 14

    shows

    the voltage at the inverter, motor ter-

    minal and the spectrum obtained througb simulation up to

    5.2 MHz

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

    ......... .....,..

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

    D

    .- .

    . . . .

    _ __

    .....

    _

    .....

    ......

    ....

    2

    Fig. 14.Voltage

    at motor

    terminals and

    EMI

    onducted emir

    .2S6

    P_

    ......

    si using

    RC

    en&ation

    DV/DT Control

    In d d d t control the output voltage rate

    can be

    con-

    trolled by adding pby%ically a small capacitor between the

    IGBT gate to collector to increase the Miller capacitance

    [12]. The inverter voltage rise tim e

    cbanges d e n

    capaci-

    tor of

    0.15

    nF is placedbetween he gate and collector. The

    inverter voltage rise time without dvldt control is 1Ions

    whereas with dv/dt

    control

    it increases o

    524ns.

    The over-

    shoot at motor tamina ls with a rise time of 52411s s

    6%.

    Fig.

    15 shows

    the voltage a t inverter terminals, at motor

    terminals and

    EMI

    conducted emissions.

    A

    decrease

    of

    10

    dBuV

    in the total EMI emission s is

    obtained.

    412

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    6/7

    V.

    ONCLUSION

    The use of RLC low pass inverter output filtes is al-

    though effective to mitigate the over voltage at motor ter-

    minals,

    it does not have an appreciable effect in the

    reduction of the total E M emissions. More reduction of

    the total E M emission s is possible by inc reasing the value

    of th e filter capacitor but thiswould increase the losses in

    the filter.

    Modified low pass RLC output filter represen ts an alter-

    native to contro l effectively both the ov er voltage and

    EMI

    emission s without increasing significantly filter

    losses.

    A

    reduction

    of

    both ovenoltage and EMI conducted muis-

    sions is obtained.

    The RC filter at motor term inals is a sim ple solution for

    the ov er voltage control but it is an expensive solution due

    to the high power losses in the filter and this technique

    does not reduce the E M emissions.

    Control with a capacitor placed between the collector

    and gate of the IGBT educes the over voltage at motor

    termina ls due to the decreased dv/dt of the inverter output

    pulses. It is also effective in reducing conducted EMI

    emissions.

    The over voltage reduction techniques based upon low

    pass filters have disadvantages such as the power

    losses

    in

    the damping resistors of the filters, the lags introduced by

    the filters and the sue of the filters in increasing the vol-

    ume of the final product

    Phase

    Volts

    Hcrtz

    Input

    ACKNOWLEDGEMENT

    This work was supported primarily by the ERC

    Program

    of the National Science Foundation under Award EEC-

    9131617.

    APPENDIX

    TABLE I

    HIGH AND

    MEDIUMFEQX

    PNUMEIERS

    FOR

    %w OTOR

    1

    3

    208i230

    5otf.o

    I

    TABLE U

    LOW FFSQuurcYP RI\METuIsFOn% Hp

    MOTOR

    I = 13.5 R L 4 . 4 2 0 6 H

    L

    .61R

    Frenucncy-

    60Hz

    Lq-=L1-=20.95E-3H

    J ~

    = 0 . 0 0 1 5 1 5 k ~ z

    TABLE m

    PWM GBT INVERTERPUUMRERS

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