Harmonics Signals

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    Power Quality Drives

    ROBICON The Sine of Quality Robicon 1997

    IntroductionIntroductiontotoHarmonicsHarmonics

    BACKFORWARD

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    Harmonic IssuesHarmonic Issues What are Harmonics?

    Where do they come from?

    What are the effects of Harmonics? What are the current standards?

    How do you measure Harmonics?

    How do you know if theres a harmonic problem?

    How can they be controlled or eliminated? Common myths and misconceptions

    References

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    Definition of HarmonicsDefinition of Harmonics They are AC currents or voltages at integer multiples

    of the fundamental frequency

    The fundamental is the lowest frequency in thewaveform, generally the repetition frequency

    They cannot transfer power on the average

    Harmonics are present in any non-sinusoidalwaveform

    More rapid changes in the waveform require thepresence of higher order harmonics

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    Square Wave Harmonic ContentSquare Wave Harmonic Content

    Fund

    3

    3,5

    3,5,7

    3,5,7,9

    3,5,7,9,11

    3,5,7,9,11,13

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    Sources of HarmonicsSources of Harmonics They arise from non-linear loads in which current is

    not strictly proportional to voltage

    Linear loads like resistors, capacitors and inductorsdo not produce harmonics

    Since diodes and SCRs are non-linear, those circuitsgenerate harmonic currents

    Other equipment which causes harmonics:

    UPS, rectifiers, transformers, ballasts, welders, arc furnaces, andpersonal computers

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    CSI Current WaveformCSI Current Waveform

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    PWM Current WaveformPWM Current Waveform

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    Effects of HarmonicsEffects of Harmonics Reduction of power system efficiency

    Increased heating of transformers (K-factor)

    Excitation of power system resonances Increased acoustical noise in motors

    RFI generation

    Interference with sensitive equipment

    There are no good effects!

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    Examples of Sensitive EquipmentExamples of Sensitive Equipment Carrier synchronized clocks

    Audio/video recording equipment

    Generator regulators and synchronizers Telephone equipment

    Fluorescent lights

    AM radio receivers

    Medical equipment PLCs

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    Harmonic StandardsHarmonic Standards

    IEEE-519 1992

    Definitions: Voltage total harmonic distortion (VTHD)

    Current total harmonic distortion (CTHD) K-Factor

    Point of Common Coupling

    VTHD Limits, Table 10.2

    CTHD Limits, Table 10.3 Dilution by linear loads

    There are no Susceptibility Limits!

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    THD Definitions from IEEE-519THD Definitions from IEEE-519Voltage Total Harmonic Distortion VTHD

    Current Total Harmonic Distortion CTHD

    Sum of squares of amplitudes of all voltage harmonics

    Sum of squares of amplitudes of all current harmonics

    Amplitude of fundamental voltage

    Amplitude of fundamental Current

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    Point of Common CouplingPoint of Common Coupling The point of common coupling is the location in the

    power distribution system where harmonic distortionis to be measured, usually where harmonic currents

    flow into a bus which feeds other equipment. Itslocation must be specified!

    In the absence of a specified location, the POCC forcurrent harmonics is the plant-utility interface

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    Definition of K-FactorDefinition of K-Factor

    K Factor =

    S (Square of P.U. Harmonic Current)*(Square of Harmonic Number)

    K-Factor theoretically represents the increase in stray losses(conductor eddy currents) in a magnetic component

    DITs need to have a K-Factor specification

    CSI VFDs typically have a K-Factor of 13 PWM VFDs typically have a K-Factor of 6

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    IEEE 519 Table 10.2IEEE 519 Table 10.2Low Voltage System Classification and Distortion Limits

    Special

    Applications

    General

    Systems

    Dedicated

    Systems

    Notch Depth 10% 20% 50%

    VTHD 3% 5% 10%

    Notch Area 16400 22800 36500

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    IEEE 519 Table 10.3IEEE 519 Table 10.3

    Current Distortion Limits for General Distribution Systems

    Isc/Il < 11(5, 7)11

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    Harmonic AnalysisHarmonic Analysis

    Tools and TechniquesTools and Techniques For simple cases, use Short-Circuit Ratio and look up

    VTHD on a curve for that product Short Circuit Ratio is the short circuit current at the POCC divided

    by the drive rated current

    For simple cases, use TURBOSIM to make a moreprecise calculation of VTHD

    There is no simple way of getting CTHD short of aspecific calculation

    For complex multi-VFD cases, use VFDNET

    Watch out for underlying assumptions in thecalculations!

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    CSI Voltage Distortion ChartCSI Voltage Distortion Chart

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    PWM Voltage Distortion ChartPWM Voltage Distortion Chart

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    Current Distortion System ExampleCurrent Distortion System Example

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    Example CalculationExample CalculationVTHD CTHD 5 th 7 th 1 1 th 1 3 th 1 7 th 1 9 th 2 3r d 2 5 th 2 9 th 3 1 s t 3 5 th 3 7 th

    DRIVE T YPE

    PWM 2.5% LR 2.7 1 5 .4 1 4 .2 4. 88 2 .7 4 1 .2 4 1 .1 6 0 .7 1 0. 6 0. 49 0. 34 0 .3 4 0 .2 3 0 .23

    PWM 5% LR 2 1 2 .2 1 1 .5 3 .1 1 2 .2 9 1 .2 4 0 .8 3 0 .6 8 0 .3 8 0 .3 8 0 .2 6 0 .2 3 0 .1 9 0 .1 5

    CS I 2.5% LR 4 1 0 .8 7 .88 4 .8 3. 3 2 .5 5 1 .9 9 1 .6 9 1.39 1.2 0 .98 0 .86 0 .71 0 .64

    CS I 5% LR 3.1 10.3 7.8 4 .6 9 3 .1 1 2 .3 6 1 .7 6 1 .4 3 1.05 0. 86 0. 64 0 .5 3 0 .3 4 0. 3

    CS I 12-Puls e 2.2 4.39 0 0 3.15 2.59 0 0 1.13 0.98 0 0 0.41 0.34

    PWM 12-Puls e 1 2.78 0 0 2.4 1.24 0 0 0.41 0.41 0 0 0.19 0.15

    Cle a np o we r 0.35 1.35 0.98 0.38 0.38 0.45 0.38 0.26 0.15 0.08 0 0 0.04 0

    P e rfe c t Ha rmony 9 0.56 1.3 0 0 0 0 1.03 0.72 0 0 0 0 0.2 0.17

    P e rfe c t Ha rmony 15 0.31 0.45 0 0 0 0 0 0 0 0 0.32 0.3 0 0

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    Current Harmonics of Various DrivesCurrent Harmonics of Various DrivesCTHD5th 7th 11th 13th 17th 19th 23rd 25th 29th 31st 35th 37th

    DRIVE TYPE

    6-P PWM 2.5% LR 41 37.8 13 7.3 3.3 3.1 1.9 1.6 1.3 0.9 0.9 0.6 0.6

    6-P PWM 5% LR 32.6 30.6 8.3 6.1 3.3 2.2 1.8 1 1 0.7 0.6 0.5 0.4

    6-P CSI 2.5% LR 28.8 21 12.8 8.8 6.8 5.3 4.5 3.7 3.2 2.6 2.3 1.9 1.7

    6-P CSI 5% LR 27.5 20.8 12.5 8.3 6.3 4.7 3.8 2.8 2.3 1.7 1.4 0.9 0.8

    CSI 12-Pulse 11.7 0 0 8.4 6.9 0 0 3 2.6 0 0 1.1 0.9

    PWM 12-Pulse 7.4 0 0 6.4 3.3 0 0 1.1 1.1 0 0 0.5 0.4

    Cleanpower 3.6 2.6 1 1 1.2 1 0.7 0.4 0.2 0 0 0.1 0

    Perfect Harmony 9 3.47 0.01 0 0 0 2.75 1.93 0 0 0 0 0.53 0.46

    Perfect Harmony 15 1.21 0.01 0 0 0 0 0 0 0 0.85 0.81 0 0

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    Harmonic Analysis GotchasHarmonic Analysis Gotchas Analysis assumes perfect phase and amplitude

    balance in the power source!

    Cable reactance is neglected unless specified -- it canhave a significant effect on the results

    Transformers are assumed to have 5.75% impedanceunless otherwise specified

    Pre-existing distortion is neglected -- this can be very

    severe on generator sources Power factor correction capacitors are presumed not

    to be present unless otherwise specified

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    Harmonic Mitigation TechniquesHarmonic Mitigation Techniques Load segregation

    Input Line Reactance

    Harmonic Filters Higher Pulse Numbers

    Perfect Harmony

    Lowest Harmonics are Pulse Number +/- 1

    Poor Mans Twelve Pulse

    Input Switching Converter Cleanpower VFD

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    Load SegregationLoad Segregation Load Segregation seeks to connect VFDs and other

    harmonic producing loads to the power distributionsystem at the lowest impedance point rather thanconnecting to a higher impedance local bus.

    It is frequently accomplished by using a DIT toconnect the drive directly to a medium voltage bus.

    It can also include using a UPS to isolate sensitiveequipment.

    O

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    Load SegregationLoad Segregation

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    Input Line ReactanceInput Line Reactance Input reactance reduces the level of VTHD

    It can be added with a DIT or line reactor

    It has only a small effect on CTHD It is mandatory on our PWM drives as it is a vital part

    of the device protection scheme

    If a DIT is used for this purpose it needs to have anappropriate K-Factor

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    Harmonic FiltersHarmonic Filters A filter consisting of L-C-R components can be

    designed to meet an harmonic requirement

    Filter are specific to the power system characteristicsand must be re-designed for every application

    Filters are large, expensive, wasteful of power andtime-consuming to design

    They are especially hard to design when an

    emergency generator is the source, or when multipleutility feeds are involved

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    Harmonic FilterHarmonic Filter

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    Higher Pulse NumbersHigher Pulse Numbers Using Higher Pulse Numbers is an effective way to

    reduce harmonics.

    It reduces the CTHD substantially

    Magnetic components are required to provide phase-shifted sources

    Additional input conversion devices (thyristors ordiodes are required)

    This technique is not affected by power systemimpedance changes.

    The Perfect Harmony uses this technique

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    2300 VAC

    INDUCTION

    MOTOR

    C3

    A1

    B1

    C1

    A2

    B2

    C2

    A3

    B3

    POWER

    CELL

    POWER

    CELLPOWER

    CELL

    POWER

    CELL

    POWER

    CELL

    POWER

    CELL

    POWER

    CELL

    POWER

    CELLPOWER

    CELL

    INPUT POWER

    Perfect Harmony CircuitPerfect Harmony Circuit

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    Perfect Harmony InputPerfect Harmony Input

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    Poor Mans Twelve-PulsePoor Mans Twelve-Pulse This technique is applicable only where there are a

    number of similarly sized VFDs on a bus

    About Half of the VFDs are connected through delta-wye DITs, while the other half are connected throughline reactors or delta-delta DITs

    The phase shifting effects of the transformers resultsin significant harmonic cancellation of the fifth andseventh harmonic on the primary side

    It is more effective for PWM drives than CSIs

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    Poor Mans 12-PulsePoor Mans 12-Pulse

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    Input Switching ConvertersInput Switching Converters By using transistor switches on the input, the current

    harmonics can be shifted to much higher frequency--typically above 35th harmonic.

    They may then be removed by a very small filterintegral to the drive.

    This technique results in unity power factor and theability to regenerate power back to the line.

    The Cleanpower drive utilizes this technique.

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    Clean Power CircuitClean Power Circuit

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    Clean Power Input WaveformClean Power Input Waveform

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    Clean Power Input WaveformClean Power Input Waveform

    2V 10mV 2ms SAVE

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    Comparison of CTHDsComparison of CTHDs 6-Pulse PWM with 2.5% LR 40%

    6-Pulse CSI with 2.5% LR 30%

    12-Pulse CSI with %5 DIT 15% 12 Pulse PWM with 5% LR 9%

    Cleanpower VFD

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    Harmonic MythsHarmonic Myths

    and Misconceptionsand Misconceptions Diode Input circuits cause no harmonics

    DITs Prevent Harmonics from Flowing into the powersystem

    Higher Order Harmonics (>23) need not beconsidered

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    ConclusionsConclusions Harmonic Control is a major issuewith consultants

    and customers.

    HRG has the Knowledge, Experience, and Productsto deal with any VFD harmonic issue.

    We can exploit this advantage because many of ourcompetitors are not so well equipped.

    The competition must not be permitted to get away

    with avoiding or ignoring the harmonic issues onprojects.

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    Square Wave HarmonicSquare Wave Harmonic

    ContentContentFund

    3

    3,5

    3,5,7

    3,5,7,9

    3,5,7,9,11

    3,5,7,9,11,13

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    Practical Motor Drive CircuitsPractical Motor Drive Circuits

    Almost all motor drive circuits consist of three parts:

    A input converter to change the AC to DC;

    A DC link to store and filter the DC;

    An output inverter to change the DC into AC. Both output voltage and frequency must be controlled together

    for motor load.

    AC-DCConversion

    DC-ACConversion

    DC Link

    AC Input;

    fixed Frequency,

    fixed Voltage

    AC Output;

    variable Frequency,

    variable Voltage

    MotorCapacitor

    or

    Inductor

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    Basic VFD TopologiesBasic VFD Topologies

    The line-side converter determines the input

    harmonic current and power factor; there is

    almost no influence from the inverter, as it is

    isolated by the DC line.

    There are only two choices of topologies:

    Current-Fed

    Voltage-Fed circuits. Then, the line-side converter circuit is

    determined.

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    The Basic AC-DC RectifierThe Basic AC-DC Rectifier

    The bridge rectifier is the

    workhorse of power

    electronics. It is used in 1

    phase and 3 phase versions

    most commonly.

    The output voltage is a DC

    voltage equal to 3/ * Vllpk

    This is also used as the input

    power conversion for PWM

    AC drives.

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    Properties of the Bridge RectifierProperties of the Bridge Rectifier

    The positive bus is at the potential of the most positive line voltage,

    while the negative bus is at the potential of the most negative line

    voltage. (Its like an auction--the highest potential line wins)

    The input current is quite distorted, with large fifth and seventh current

    harmonics. But since the rate of change of current is low, there are fewhigher order harmonics.

    This circuit is used as the building block for multi-phase arrangements

    to reduce the current distortion.

    The input displacement power factor is uniformly high.

    This circuit cannot return energy to the line.

    AC and DC side inductors are frequently used to reduce the input

    harmonic current.

    This is arguably the most basic and inexpensive power conversion unit.

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    CommutationCommutation

    Ls: Source

    inductance

    Line Commutation

    IaIb

    Va

    Vb

    0 0

    Vba

    Load

    Commutation is the process of transferring current from one switching

    element to another.

    There are various ways that this is accomplished.

    Line commutation: the AC line voltage causes the current to transfer

    Forced commutation: Another circuit element acts to transfer the current.

    Self commutation: the switching device turns off by itself.

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    3-Phase Rectifier Input Current3-Phase Rectifier Input Current

    Line-side Reactance OnlyLine-side Reactance Only

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    6-Pulse Thyristor Converter6-Pulse Thyristor Converter

    Input Current WaveformInput Current Waveform

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    Current HarmonicsCurrent Harmonics

    of Various Drivesof Various DrivesCTHD5th 7th 11th 13th 17th 19th 23rd 25th 29th 31st 35th 37th

    DRIVE TYPE

    6-P PWM 2.5% LR 41 37.8 13 7.3 3.3 3.1 1.9 1.6 1.3 0.9 0.9 0.6 0.6

    6-P PWM 5% LR 32.6 30.6 8.3 6.1 3.3 2.2 1.8 1 1 0.7 0.6 0.5 0.4

    6-P CSI 2.5% LR 28.8 21 12.8 8.8 6.8 5.3 4.5 3.7 3.2 2.6 2.3 1.9 1.7

    6-P CSI 5% LR 27.5 20.8 12.5 8.3 6.3 4.7 3.8 2.8 2.3 1.7 1.4 0.9 0.8

    CSI 12-Pulse 11.7 0 0 8.4 6.9 0 0 3 2.6 0 0 1.1 0.9

    PWM 12-Pulse 7.4 0 0 6.4 3.3 0 0 1.1 1.1 0 0 0.5 0.4

    Cleanpower 3.6 2.6 1 1 1.2 1 0.7 0.4 0.2 0 0 0.1 0

    Perfect Harmony 9 3.47 0.01 0 0 0 2.75 1.93 0 0 0 0 0.53 0.46

    Perfect Harmony 15 1.21 0.01 0 0 0 0 0 0 0 0.85 0.81 0 0

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    Input Switching ConverterInput Switching Converter

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    Input Switching ConvertersInput Switching Converters

    By using transistor switches on the input, the current

    harmonics can be shifted to much higher frequency--

    typically above 35th harmonic. This is the same

    technique used on the output. They may then be removed by a very small filter

    integral to the drive.

    This technique results in unity power factor (or any

    power factor you want) and the ability to regenerate

    power back to the line.

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    Comparison of CurrentComparison of Current

    Total Harmonic DistortionTotal Harmonic Distortion 6-Pulse PWM with 2.5% line reactor 40%

    6-Pulse CSI with 2.5% line reactor 30%

    12-Pulse CSI with %5 DIT 15% 12 Pulse PWM with 5% line reactor 9%

    Switching Converter

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    Twelve-Pulse Bridge RectifierTwelve-Pulse Bridge Rectifier

    3-PHASE MV INPUT

    INPUT FILTER FORHARMONIC CORRECTION

    12 Pulse Rectifier

    To Inverter

    12recnv

    To Inverter

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    Harmonics of RectifiersHarmonics of Rectifiers

    0

    5

    10

    15

    20

    25

    30

    35

    5 7 11 1 3 17 1 9 2 3 2 5 2 9 3 1 3 5 3 7

    P ercent Harm onic Current

    6-pu lse: All b a rs

    12-pu lse: Black ba rs on ly

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    The Controlled RectifierThe Controlled Rectifier

    By substituting thyristors for

    diodes, we can control the DC

    voltage of the rectifier.

    In this form, it is usable as a

    regulated DC supply like a DCmotor drive.

    It also is widely used as the

    input stage for variable

    frequency AC drives of the

    current-fed type.

    The output voltage is a functionof the input and the phase delay

    of the turn on pulse to the

    SCRs.

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    12-Pulse Thyristor Converter12-Pulse Thyristor Converter

    3-PHASE MV INPUT

    INPUT FILTER FOR

    POWER FACTOR ANDHARMONIC CORRECTION

    12 Pulse Thyristor Converter

    To Inverter

    12scrcnv

    To Inverter

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    12-Pulse Thyristor Converter12-Pulse Thyristor Converter

    WaveformsWaveforms

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    Harmonics of ThyristorHarmonics of Thyristor

    ConvertersConverters

    0

    5

    10

    15

    20

    25

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

    Percent Harmonic Current

    6-pulse: All b ars

    12-pulse : Blac k bars only

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    Voltage-Fed and Current-FedVoltage-Fed and Current-Fed

    TopologiesTopologies Voltage-fed and current-fed refer to the two basic VFD

    strategies of applying power to the motor. In Europe, these are

    called voltage-impressed and current-impressed, which is a

    clearer description.

    In voltage-fed circuits, the output of the inverter is a voltage,

    usually the DC link voltage. The motor and its load determines

    the current that flows. The inverter doesnt care what the current

    is. (within limits)

    In current-fed circuits, the output of the inverter is a current,

    usually the DC link current. The motor and its load determinesthe voltage. The inverter doesnt care what the voltage is.

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    Comparison of Voltage-fed andComparison of Voltage-fed and

    Current-fed circuitsCurrent-fed circuits Today, voltage-fed VFDs use a rectifier bridge. This gives them consistently

    high P.F. and minimum high-order harmonics. The reactive power needs of the

    motor come from the capacitor, and are not reflected to the line. The DC link

    electrolytic capacitors can be a reliability and lifetime issue. Energy stored in the

    link is very high compared to the CSIs, and a fault in the inverter can lead to

    very high currents. The motors inherent inductance can be conveniently used tofilter a PWM voltage wave. On the other hand, very fast wavefronts have

    become a concern to motor designers and users.

    The preferred approach in current-fed inverters is to use a thyristor converter to

    control the current. Thus the power factor is the load power factor times the PU

    speed. The reactive power demand of the motor is passed back to the line. High

    order harmonics are present due to the high di/dt. Link energy storage is

    relatively low, and the DC link reactor provides immunity to faults and grounds.Since the current is regulated, inverter faults do not cause high currents. One

    cannot change the motor current instantaneously, so all the CSI circuits require

    a capacitive filter on the motor to absorb the high di/dt of the inverter.

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    CF versus VF VFDsCF versus VF VFDs

    Current-fed Type

    Lower Cost at High HP

    Four- Quadrant

    P.F. = P.U. Speed*Load P.F.96.5% Efficiency

    Immune to short circuits

    Low-Cost Components

    Large Magnetics

    Lower motor noise

    Non-Critical layout

    30% Harmonic Current

    Low dV/dt at output

    Voltage-fed Type

    Lower Cost at Low HP

    Two-Quadrant

    95% displacement P.F.96-97.5% Efficiency

    Requires protection

    Higher-cost Components

    Small or no Magnetics

    Higher Motor Noise

    Critical Layout

    40% Harmonic current

    High dV/dt at output

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    Harmonic StandardsHarmonic Standards

    IEEE-519 1992

    Definitions:

    Voltage total harmonic distortion (VTHD)

    Current total harmonic distortion (CTHD) K-Factor

    Point of Common Coupling

    VTHD Limits, Table 10.2

    CTHD Limits, Table 10.3

    Dilution by linear loads There are no Susceptibility Limits!

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    THD Definitions from IEEE-519THD Definitions from IEEE-519

    Voltage Total Harmonic Distortion VTHD

    Current Total Harmonic Distortion CTHD

    Sum of squares of amplitudes of all voltage harmonics

    Sum of squares of amplitudes of all current harmonics

    Amplitude of fundamental voltage

    Amplitude of fundamental Current

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    Point of Common CouplingPoint of Common Coupling

    The point of common coupling is the location in the

    power distribution system where harmonic distortion

    is to be measured, usually where harmonic currents

    flow into a bus which feeds other equipment. Itslocation must be specified!

    In the absence of a specified location, the POCC for

    current harmonics is the plant-utility interface

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    Current DistortionCurrent Distortion

    System ExampleSystem Example

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    Example CalculationExample Calculation

    VTHD CTHD 5 th 7 th 1 1 th 1 3 th 1 7 th 1 9 th 2 3r d 2 5 th 2 9 th 3 1 s t 3 5 th 3 7 th

    DRIVE T YPE

    PWM 2.5% LR 2.7 1 5 .4 1 4 .2 4. 88 2 .7 4 1 .2 4 1 .1 6 0 .7 1 0. 6 0. 49 0. 34 0 .3 4 0 .2 3 0 .23

    PWM 5% LR 2 1 2 .2 1 1 .5 3 .1 1 2 .2 9 1 .2 4 0 .8 3 0 .6 8 0 .3 8 0 .3 8 0 .2 6 0 .2 3 0 .1 9 0 .1 5

    CS I 2.5% LR 4 1 0 .8 7 .88 4 .8 3. 3 2 .5 5 1 .9 9 1 .6 9 1.39 1.2 0 .98 0 .86 0 .71 0 .64

    CS I 5% LR 3.1 10.3 7.8 4 .6 9 3 .1 1 2 .3 6 1 .7 6 1 .4 3 1.05 0. 86 0. 64 0 .5 3 0 .3 4 0. 3

    CS I 12-Puls e 2.2 4.39 0 0 3.15 2.59 0 0 1.13 0.98 0 0 0.41 0.34

    PWM 12-Puls e 1 2.78 0 0 2.4 1.24 0 0 0.41 0.41 0 0 0.19 0.15

    Cle a np o we r 0.35 1.35 0.98 0.38 0.38 0.45 0.38 0.26 0.15 0.08 0 0 0.04 0

    P e rfe c t Ha rmony 9 0.56 1.3 0 0 0 0 1.03 0.72 0 0 0 0 0.2 0.17

    P e rfe c t Ha rmony 15 0.31 0.45 0 0 0 0 0 0 0 0 0.32 0.3 0 0

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    Current HarmonicsCurrent Harmonics

    of Various Drivesof Various DrivesCTHD5th 7th 11th 13th 17th 19th 23rd 25th 29th 31st 35th 37th

    DRIVE TYPE

    6-P PWM 2.5% LR 41 37.8 13 7.3 3.3 3.1 1.9 1.6 1.3 0.9 0.9 0.6 0.6

    6-P PWM 5% LR 32.6 30.6 8.3 6.1 3.3 2.2 1.8 1 1 0.7 0.6 0.5 0.4

    6-P CSI 2.5% LR 28.8 21 12.8 8.8 6.8 5.3 4.5 3.7 3.2 2.6 2.3 1.9 1.7

    6-P CSI 5% LR 27.5 20.8 12.5 8.3 6.3 4.7 3.8 2.8 2.3 1.7 1.4 0.9 0.8

    CSI 12-Pulse 11.7 0 0 8.4 6.9 0 0 3 2.6 0 0 1.1 0.9

    PWM 12-Pulse 7.4 0 0 6.4 3.3 0 0 1.1 1.1 0 0 0.5 0.4

    Cleanpower 3.6 2.6 1 1 1.2 1 0.7 0.4 0.2 0 0 0.1 0

    Perfect Harmony 9 3.47 0.01 0 0 0 2.75 1.93 0 0 0 0 0.53 0.46

    Perfect Harmony 15 1.21 0.01 0 0 0 0 0 0 0 0.85 0.81 0 0

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    Harmonic Analysis GotchasHarmonic Analysis Gotchas

    Analysis assumes perfect phase and amplitude balance in the

    power source!

    Cable reactance is neglected unless specified -- it can have a

    significant effect on the results

    Transformers are assumed to have 5.75% impedance unless

    otherwise specified

    Pre-existing distortion is neglected -- this can be very severe on

    generator sources

    Power factor correction capacitors are presumed not to be

    present unless otherwise specified

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    Harmonic FiltersHarmonic Filters

    A filter consisting of L-C-R components can be

    designed to meet an harmonic requirement

    Filter are specific to the power system characteristics

    and must be re-designed for every application Filters are large, expensive, wasteful of power and

    time-consuming to design

    They are especially hard to design when an

    emergency generator is the source, or when multiple

    utility feeds are involved

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    Higher Pulse NumbersHigher Pulse Numbers

    Using Higher Pulse Numbers is an effective way to

    reduce harmonics.

    It reduces the CTHD substantially

    Magnetic components are required to provide phase-shifted sources

    Additional input conversion devices (thyristors or

    diodes are required)

    This technique is not affected by power systemimpedance changes.

    The Perfect Harmony uses this technique

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    Harmonic Myths andHarmonic Myths and

    MisconceptionsMisconceptions Diode Input circuits cause no harmonics

    DITs Prevent Harmonics from Flowing into the power

    system

    Higher Order Harmonics (>23) need not beconsidered

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    ConclusionsConclusions

    Occasionally, VFDs can have an adverse effect on power

    quality, severe enough to cause problems with other equipment.

    But, there are a number of simple ways to minimize the effect of

    a non-linear load.

    Beginning in 1992, drive manufacturers have introduced new

    technology to overcome these problems.

    Today, one can obtain even the largest VFD of a design (Perfect

    Harmony and 18-pulse Clean Power) which presents virtually a

    linear, unity power factor load to the line.