32
Guide to Harmonics with AC Drives Technical Guide No. 6 Technical Guide No. 6

Guide to Harmonics with AC Drives2.1 shows how the current harmonics (ih) in the input current (is) of a power electronic converter affect the supply voltage (ut). Figure 2.1 Plant

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  • Guide to Harmonics with AC Drives

    Technical Guide No. 6Technical Guide No. 6

  • Technical Guide No.6 - Guide to Harmonics with AC Drives2

  • 1. Introduction ................................................. 5

    2. Basics of the harmonics phenomena ........... 6

    3. Harmonic distortion sources and effects ..... 8

    4. Harmonic distortion calculation by usingDriveSize software ....................................... 9

    4.1 Circuit diagram for the calculation example ....... 94.2 Input data for motor load .................................... 94.3 Motor selection .................................................. 104.4 Inverter selection ............................................... 104.5 Inverter supply unit data .................................... 104.6 Network and Transformer data input ................. 104.7 Calculated harmonic current and voltage .......... 114.8 Calculated harmonic currents in graphical form ... 114.9 Part of the printed report ................................... 11

    5. Standards for harmonic limits .................... 12

    5.1 EN61800-3 (IEC1800-3) Adjustable speedelectrical power drive systems .......................... 12

    5.2 IEC1000-2-2,Electromagnetic compatibility (EMC) ................ 13

    5.3 IEC1000-2-4,Electromagnetic compatibility (EMC) ................ 13

    5.4 IEC1000-3-2,Electromagnetic compatibility (EMC) ................ 13

    5.5 IEC1000-3-4,Electromagnetic compatibility (EMC) ................ 13

    5.6 IEEE519, IEEE Recommended practices andrequirements for harmonic control inelectrical power systems ................................... 14

    6. Evaluating harmonics ................................. 16

    7. How to reduce harmonics by structuralmodifications in the AC drive system ......... 17

    7.1 Factors in the AC drive having an effect onharmonics .......................................................... 17

    7.2 Table: List of the different factors and theireffects ................................................................ 18

    7.3 Using 6-pulse diode rectifier .............................. 187.4 Using 12-pulse or 24-pulse diode rectifier ......... 19

    Contents

    Technical Guide No.6 - Guide to Harmonics with AC Drives 3

  • 7.5 Using phase controlled thyristor rectifier ........... 197.6 Using IGBT bridge ............................................. 207.7 Using larger DC or AC inductor ......................... 21

    8. Other methods for harmonics reduction ..... 24

    8.1 Tuned single arm passive filter .......................... 248.2 Tuned multiple arm passive filter ....................... 248.3 External active filter ........................................... 25

    9. Summary of harmonics attenuation ............ 26

    9.1 6-pulse rectifier without inductor ....................... 269.2 6-pulse rectifier with inductor ............................ 269.3 12-pulse rectifier with polycon transformer ....... 269.4 12-pulse with double wound transformer .......... 269.5 24-pulse rectifier ................................................ 269.6 Active IGBT rectifier .......................................... 27

    10. Definitions .................................................. 28

    11. Index .......................................................... 30

    Technical Guide No.6 - Guide to Harmonics with AC Drives4

  • General

    Chapter 1 - Introduction

    This guide continues ABB's technical guide series, describingharmonic distortion, its sources and effects, and also distortioncalculation and evaluation. Special attention has been givento the methods for reducing harmonics with AC drives.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 5

  • is(t) = i1(t) + Σ ih(t)Converter

    load

    Otherloads

    Point of CommonCoupling (PCC)

    Mains Transformer

    Rs Lsu(t)

    Chapter 2 - Basics of the harmonicsphenomena

    Harmonic currents and voltages are created by non-linearloads connected on the power distribution system.Harmonic distortion is a form of pollution in the electricplant that can cause problems if the sum of the harmoniccurrents increases above certain limits.

    All power electronic converters used in different types ofelectronic systems can increase harmonic disturbancesby injecting harmonic currents directly into the grid. Figure2.1 shows how the current harmonics (ih) in the inputcurrent (is) of a power electronic converter affect the supplyvoltage (ut).

    Figure 2.1 Plant with converter load, mains transformer and otherloads.

    The line current of a 3-phase, 6-pulse rectifier can becalculated from the direct output current by using thefollowing formula.

    The fundamental current is then

    the total RMS current and

    direct current output from the rectifier.(valid for ideal filtered DC current)

    , where

    Technical Guide No.6 - Guide to Harmonics with AC Drives6

  • The rms values of the harmonic components are:

    where

    Order of Harmonic Component

    Harmonic-Current (%)

    Basics of the harmonics phenomena

    In a theoretical case where output current can be estimatedas clean DC current, the harmonic current frequencies ofa 6-pulse three phase rectifier are n times the fundamentalfrequency (50 or 60 Hz). The information given below isvalid in the case when the line inductance is insignificantcompared to the DC reactor inductance. The line currentis then rectangular with 120° blocks. The order numbers nare calculated from the formula below:

    and the harmonic components are as shown in Figure 2.2.

    The principle of how the harmonic components are addedto the fundamental current is shown in Figure 2.3, whereonly the 5th harmonic is shown.

    Technical Guide No.6 - Guide to Harmonics with AC Drives

    Figure 2.2 The harmonic content in a theoretical rectangular current of a6-pulse rectifier.

    Figure 2.3 The total current as the sum of the fundamental and 5th harmonic.

    7

  • Chapter 3 - Harmonic distortion sourcesand effects

    Common non-linear loads include motor starters, variablespeed drives, computers and other electronic devices,electronic lighting, welding supplies and uninterrupted powersupplies.

    The effects of harmonics can be overheating of transformers,cables, motors, generators and capacitors connected to thesame power supply with the devices generating theharmonics. Electronic displays and lighting may flicker, circuitbreakers can trip, computers may fail and metering can givefalse readings.

    If the cause of the above mentioned symptoms is not known,then there is cause to investigate the harmonic distortion ofthe electricity distribution at the plant. The effects are likelyto show up in the customer's plant before they show on theutility system. This Technical Guide has been published tohelp customers to understand the possible harmonicproblems and make sure the harmonic distortion levels arenot excessive.

    Technical Guide No.6 - Guide to Harmonics with AC Drives8

  • 4.1 Circuitdiagram forthe calculationexample

    Chapter 4 - Harmonic distortion calculation byusing DriveSize software

    4.2 Input datafor motor load

    The harmonic currents cause a distortion of the line voltage.In principle the voltage harmonics can be calculated at anypoint of the network if the harmonic currents and thecorresponding source impedance are known. The circuitdiagrams in Figure 4.1. show the network supplying theconverter and the other essential parts of the installation.ABB DriveSize software is used for the calculation example.

    Figure 4.2. The most important motor load data for harmonics calculation isthe base power in kW.

    Figure 4.1. Network supplying a frequency converter in the middle and itsequivalent diagram on the right. The data for this example is on the left.

    SupplySk = 150 MVAU = 22 kV

    Transformer:S = 400 kVAU1 = 22 kVU2 = 415 Vz = 4,5 %

    Cable:Length = 60 mR = 0,007 mΩ/m

    Motor:P = 100 kWIN = 200 A

    S'k

    Xk

    Xt

    X'k

    I

    Motor load

    Load type

    Overload type

    Speed [rpm]

    Power [kW]

    Overload [%]

    Const. torque/power

    One overload

    min base max

    0

    0

    1450

    100

    100

    100

    100

    1500

    60 600Overload time [s] every [s]

    Technical Guide No.6 - Guide to Harmonics with AC Drives 9

  • Harmonic distortion calculation by using DriveSize software

    4.4 Inverterselection

    4.5 Invertersupply unit data

    4.6 Network andTransformerdata input

    4.4. The inverter selection is based on the previous motor selection andhere also the user has an option to select the inverter manually.

    Figure 4.6. The network and transformer data input is given here. Forstandard ABB transformers the data is shown automatically.

    Figure 4.5. The supply unit data is defined by DriveSize according to theinverter type selected.

    4.3 Motorselection

    Figure 4. 3. The software makes the motor selection for the defined load. Ifrequired there is an option to select a different motor than that selected bythe DriveSize.

    Selected motor dataM2BA 315 SMC 6

    SelectionVoltage [V]ConnectionFrequency [Hz]Power [kW]PolesSpeed [rpm]Max mech. speed [rpm]Current [A]Torque [Nm]T max/TnPower factorEfficiency [%]Insulation class

    DriveSize415D50110

    9926

    230019710603,20,8295,6F

    SelectionSelection methodVoltage [V]Drive power [kVA]Pn [kW]Normal Icont [A]Normal Imax [A]Phd [kW]Heavyduty Icont [A]Heavyduty Imax [A]PulseFrame typeP&F 12Nsq [A]

    Selected inverter dataACS607-0140-3

    UserCurrent (normal)400140110

    238216

    901782676R8260

    Supply unit data

    Pulse #

    Lv [µH]

    Cdc [mF]

    Udc [V]

    Idc [A]

    6

    110

    4,95

    560

    191

    Network and Transformer data

    Primary voltage [V] Secondary voltage [V]

    Frequency [Hz]

    Network Sk [MVA]

    Transformer Sn [kVA]Transformer Pk [kW]

    Transformer Zk [%]

    Supply cable type Cable Busbar

    Cable quantity

    Cable lenght [m]Impedance [µΩ]

    unknow

    22000

    50

    150

    400

    3,0

    3,8

    360

    415

    70

    Technical Guide No.6 - Guide to Harmonics with AC Drives10

  • Harmonic distortion calculation by using DriveSize software

    4.7 Calculatedharmoniccurrent andvoltage

    4.8 Calculatedharmoniccurrents ingraphical form

    4.9 Part of theprinted report

    Figure 4.8. The results of calculations can be shown in table form as aboveor as a graph.

    Figure 4.9. The input data and calculated results can be printed out as areport, which is partly shown here.

    Figure 4.7. The harmonics are calculated by making discrete Fouriertransformation to the simulated phase current of the incoming unit.Different kinds of circuit models are used, one for SingleDrive with ACinductors and one for diode and thyristor supply with DC inductors.There are also models for 6, 12 and 24 pulse connections.

    THD

    Data

    Show Mode

    VoltageCurrent

    Result

    IEEE CalcIEEE Limit

    47,1% 0,2%

    0,2%/ 0,2%/15,0% 0,5%

    Primary side

    Secodary side

    Table

    Graph

    n157

    11131719232529313537

    50250350550650850950115012501450155017501850

    2,81,20,60,20,20,10,10,10,00,00,00,00,0

    100,0 %

    0,6 %

    41,2 %19,5 %8,6 %5,6 %4,2 %2,7 %2,3 %1,4 %1,2 %0,8 %0,5 %

    21996,632,921,715,111,711,38,18,25,55,33,73,03,3

    f [Hz] Current [A] In/I1 Voltage [V]

    [%]

    Frequency [Hz]

    50

    40

    30

    20

    10

    0

    250

    350

    550

    650

    850

    950

    1150

    1250

    1450

    1550

    1750

    1850

    Network check

    Network and Transformer data

    ACS607-0140-3

    Supply unit dataNormal voltage [V]Frequency [Hz]Network Sk [MVA]Transformer Sn [kVA]Transformer Pk [kW]Transformer Zk [%]Supply cable typeCable quantityCable lenght

    22000 (primary side)501504003,03,8Cable360

    Pulse #Lv [µH]Cdc [mF]Udc [V]Idc [A]

    61104,95560191

    ResultCosfiiTot. power factorUnmax mot.

    0,9990,90

    98 %

    THD CurrentTHD Voltage

    47,1 %0,2 %

    THD CurrentTHD Voltage

    IEEE 519 limits calc/limit0,2 %/15,0 %0,2 %/5,0 %

    Technical Guide No.6 - Guide to Harmonics with AC Drives 11

  • 5.1EN61800-3(IEC1800-3)Adjustablespeed electricalpower drivesystems

    Chapter 5 - Standards for harmonic limits

    The most common international and national standardssetting limits on harmonics are described below.Figure 5.1 is shown as an example for harmonic distortionlimits.

    Part 3: EMC product standard including specifictest methodsThe countries of the European Economic Area (EEA) haveagreed on common minimum regulatory requirements inorder to ensure the free movement of products within theEEA. The CE marking indicates that the product works inconformity with the directives that are valid for the product.The directives state the principles that must be followed.Standards specify the requirements that must be met.EN61800-3 is the EMC product standard of adjustablespeed electrical power drive systems (PDS). Meeting therequirements of this standard, is the minimum conditionfor free trade of power electronics converters inside theEEA.

    EN61800-3 states, that the manufacturer shall provide inthe documentation of the PDS, or on request, the currentharmonic level, under rated conditions, as a percentageof the rated fundamental current on the power port. Thereferenced values shall be calculated for each order atleast up to the 25th. The current THD (orders up to andincluding 40), and its high-frequency component PHD(orders from 14 to 40 inclusive) shall be evaluated. Forthese standard calculations, the PDS shall be assumed tobe connected to a PC with Rsc = 250 and with initial voltagedistortion less than 1%. The internal impedance of thenetwork shall be assumed to be a pure reactance.

    In a low voltage public supply network, the limits andrequirements of IEC1000-3-2 apply for equipment withrated current ≤ 16 A. The use of the future IEC1000-3-4 isrecommended for equipment with rated current > 16 A. IfPDS is used in an industrial installation, a reasonableeconomical approach, which considers the totalinstallation, shall be used. This approach is based on theagreed power, which the supply can deliver at any time.The method for calculating the harmonics of the totalinstallation is agreed and the limits for either the voltagedistortion or the total harmonic current emission are agreedon. The compatibility limits given in IEC1000-2-4 may beused as the limits of voltage distortion.

    Technical Guide No.6 - Guide to Harmonics with AC Drives12

  • Standards for harmonic limits

    5.5IEC1000-3-4,Electromagneticcompatibility(EMC)

    5.4IEC1000-3-2,Electromagneticcompatibility(EMC)

    5.3IEC1000-2-4,Electromagneticcompatibility(EMC)

    5.2IEC1000-2-2,Electromagneticcompatibility(EMC)

    Part 2: Environment - Section 2: Compatibilitylevels for low frequency conducted disturbancesand signalling in public low-voltage power supplysystemsThis standard sets the compatibility limits for low-frequencyconducted disturbances and signalling in public low-voltage power supply systems. The disturbancephenomena include harmonics, inter-harmonics, voltagefluctuations, voltage dips and short interruptions voltageinbalance and so on. Basically this standard sets the designcriteria for the equipment manufacturer, and amounts tothe minimum immunity requirements of the equipment.IEC1000-2-2 is in line with the limits set in EN50160 for thequality of the voltage the utility owner must provide at thecustomer's supply-terminals.

    Part 2: Environment - Section 4: Compatibility levelsin industrial plants for low frequency conducteddisturbancesIEC1000-2-4 is similar to IEC1000-2-2, but it givescompatibility levels for industrial and non-publicnetworks. It covers low-voltage networks as well asmedium voltage supplies excluding the networks for ships,aircraft, offshore platforms and railways.

    Part 3: Limits - Section 2: Limits for harmoniccurrent emissions (equipment current

  • 132 kV Net

    33 kV Net

    11 kV Net

    400 kV Net

    Typical Values

    Min’mRsce

    66

    120

    175

    250

    350

    450

    >600

    12

    15

    20

    30

    40

    50

    60

    10

    12

    14

    18

    25

    35

    40

    9

    12

    12

    13

    15

    20

    25

    6

    8

    8

    8

    10

    15

    18

    2.36

    1.69

    1.25

    1.06

    0.97

    1.02

  • Standards for harmonic limits

    The standard does not give limits for individual equipment,but for individual customers. The customers are categorisedby the ratio of available short circuit current (Isc) to theirmaximum demand load current (IL) at the point of commoncoupling. The total demand load current is the sum of bothlinear and non-linear loads. Within an industrial plant, thePCC is clearly defined as the point between the non-linearload and other loads.

    The allowed individual harmonic currents and total harmonicdistortion are tabulated by the ratio of available short circuitcurrent to the total demand load current (Isc/IL) at the pointof common coupling. The limits are as a percentage of IL forall odd and even harmonics from 2 to infinity. Total harmonicdistortion is called total demand distortion and also it shouldbe calculated up to infinity. Many authors limit the calculationof both the individual components and TDD to 50.

    The table 10.3 of the standard is sometimes misinterpretedto give limits for the harmonic emissions of a single apparatusby using Rsc of the equipment instead of Isc/IL of the wholeinstallation. The limits of the table should not be used thisway, since the ratio of the short circuit current to the totaldemand load current of an installation should always be used.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 15

  • UTILITY

    Calculate Average MaximumDemand Load Current (IL)

    Choose PCC

    Calculate Short CircuitCapacity (SSC, ISC)

    Calculate Short Circuit Ratio(SCR=(ISC /IL)

    Yes

    Yes

    No

    Yes

    No

    Is PowerFactor Correction existing

    or planned?

    Stage 1:Is detailed Evaluation

    necessary?

    No

    Estimate Weighted DisturbingPower (SDW) or % Non-linear

    Load

    Stage 2:Does Facility meetHarmonic Limits?

    Characterise Harmonic Levels(Measurements, Analysis)

    Design Power Factor correctionand/or Harmonic Control

    Equipment(include resonance concerns)

    Verification Measurementsand Calculations (if necessary)

    CUSTOMER

    Figure 6.1 Evaluation of harmonic distortion.

    Chapter 6 - Evaluating harmonics

    The "Guide for Applying Harmonic Limits on Power Systems"P519A/D6 Jan 1999 introduces some general rules forevaluating harmonic limits at an industrial facility. Theprocedure is shown in the flowchart in Figure 6.1.

    Technical Guide No.6 - Guide to Harmonics with AC Drives16

  • LINE

    TRANSFORMER

    AC DRIVE

    LOAD

    Short circuit power

    Rated Power andImpedance

    Type of Rectifier

    DIODE, THYRISTOR; INVERTER:

    MVA

    MVA

    %

    mH

    PWM;CSI

    kW

    %

    6-p, 12-p, 24-p

    Reactor Inductance

    Type of Inverter

    Rated Power andLoad

    Inverter

    Motor

    7.1 Factors inthe AC drivehaving an effecton harmonics

    Chapter 7 - How to reduce harmonics by structuralmodifications in the AC drive system

    Alternative

    Harmonics reduction can be done either by structuralmodifications in the drive system or by using externalfiltering. The structural modifications can be to strengthenthe supply, to use 12 or more pulse drive, to use a controlledrectifier or to improve the internal filtering in the drive.

    Figure 7.1 shows the factors in the AC drive system whichhave some influence on harmonics. The current harmonicsdepend on the drive construction and the voltageharmonics are the current harmonics multiplied by thesupply impedances.

    Figure 7.1 Drive system features affecting harmonics.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 17

  • The cause The effectThe larger the motor… the higher the current harmonicsThe higher the motor load… the higher the current harmonicsThe larger the DC or AC inductance… the lower the current harmonicsThe higher the number of pulses inthe rectifier… the lower the current harmonicsThe larger the transformer… the lower the voltage harmonicsThe lower the transformer impedance… the lower the voltage harmonicsThe higher the short circuit capacityof supply… the lower the voltage harmonics

    6-pulse rectifier 12-pulse rectifier 24-pulse rectifier

    Current Waveform Current Waveform Current Waveform

    How to reduce harmonics by structural modifications in the AC drive system

    7.3 Using6-pulse dioderectifier

    7.2 Table:List of thedifferent factorsand theireffects

    The connections for different rectifier solutions are shown inFigure 7.2. The most common rectifier circuit in 3-phase ACdrives is a 6-pulse diode bridge. It consists of six uncontrollablerectifiers or diodes and an inductor, which together with aDC-capacitor forms a low-pass filter for smoothing the DC-current. The inductor can be on the DC- or AC-side or it canbe left totally out. The 6-pulse rectifier is simple and cheapbut it generates a high amount of low order harmonics 5th,7th, 11th especially with small smoothing inductance.

    The current form is shown in Figure 7.2. If the major part ofthe load consists of converters with a 6-pulse rectifier, thesupply transformer needs to be oversized and meeting therequirements in standards may be difficult. Often someharmonics filtering is needed.

    Figure 7.2 Harmonics in line current with different rectifier constructions.

    Technical Guide No.6 - Guide to Harmonics with AC Drives18

  • 6-pulse rectifier 12-pulse rectifier 24-pulse rectifier

    Harmonic order

    InI1

    How to reduce harmonics by structural modifications in the AC drive system

    7.5 Usingphasecontrolledthyristorrectifier

    7.4 Using12-pulse or 24-pulse dioderectifier

    The 12-pulse rectifier is formed by connecting two 6-pulserectifiers in parallel to feed a common DC-bus. The inputto the rectifiers is provided with one three-windingtransformer. The transformer secondaries are in 30o phaseshift. The benefit with this arrangement is that in the supplyside some of the harmonics are in opposite phase andthus eliminated. In theory the harmonic component withthe lowest frequency seen at the primary of the transformeris the 11th.

    The major drawbacks are special transformers and a highercost than with the 6-pulse rectifier.

    The principle of the 24-pulse rectifier is also shown in Figure7.2. It has two 12-pulse rectifiers in parallel with two three-winding transformers having 15o phase shift. The benefitis that practically all low frequency harmonics areeliminated but the drawback is the high cost. In the caseof a high power single drive or large multidrive installationa 24-pulse system may be the most economical solutionwith lowest harmonic distortion.

    Figure 7.3 Harmonic components with different rectifiers.

    A phase controlled rectifier is accomplished by replacingthe diodes in a 6-pulse rectifier with thyristors. Since athyristor needs a triggering pulse for transition fromnonconducting to conducting state, the phase angle atwhich the thyristor starts to conduct can be delayed. Bydelaying the firing angle over 90o, the DC-bus voltage goesnegative. This allows regenerative flow of power from theDC-bus back to the power supply.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 19

  • Supplytype

    6-pulserectifier

    12-pulserectifier

    IGBT SupplyUnit

    CurrentTDH (%)

    30

    10

    4

    VoltageTDH (%)RSC=20

    10

    6

    8

    VoltageTDH (%)RSC=100

    2

    1.2

    1.8

    Current Waveform

    Distortion is in % of RMS values

    How to reduce harmonics by structural modifications in the AC drive system

    7.6 Using IGBTbridge

    Standard DC-bus and inverter configurations do not allowpolarity change of the DC-voltage and it is more commonto connect another thyristor bridge anti-parallel with thefirst one to allow the current polarity reversal. In thisconfiguration the first bridge conducts in rectifying modeand the other in regenerating mode.

    The current waveforms of phase controlled rectifiers aresimilar to those of the 6-pulse diode rectifier, but sincethey draw power with an alternating displacement powerfactor, the total power factor with partial load is quite poor.The poor power factor causes high apparent current andthe absolute harmonic currents are higher than those witha diode rectifier.

    In addition to these problems, phase-controlled converterscause commutation notches in the utility voltagewaveform. The angular position of the notches varies alongwith the firing angle.

    Figure 7.4 Distortion of different supply unit types. Values may varycase by case.

    Introducing a rectifier bridge, made of self commutatedcomponents, brings several benefits and opportunitiescompared to phase commutated ones. Like a phasecommutated rectifier, this hardware allows bothrectification and regeneration, but it makes it possible tocontrol the DC-voltage level and displacement powerfactor separately regardless of the power flow direction.

    The main benefits are:- Safe function in case of mains supply disappearance.- High dynamics of the drive control even in the field

    weakening range.

    Technical Guide No.6 - Guide to Harmonics with AC Drives20

  • Line Generating Unit

    3~

    Line Generating Unit

    Harmonic order

    InI1

    Current withoutInductor

    Current with Inductor

    How to reduce harmonics by structural modifications in the AC drive system

    7.7 Using alarger DC or ACinductor

    - Possibility to generate reactive power.- Nearly sinusoidal supply current with low harmonic

    content. Measured results for one drive is shown in Figure7.5. When comparing with Figure 7.3 we can see a cleardifference. IGBT has very low harmonics at lowerfrequencies, but somewhat higher at higher frequencies.

    - Voltage boost capability. In case of low supply voltage theDC voltage can be boosted to keep motor voltage higherthan supply voltage.

    The main drawback is the high cost coming from the IGBTbridge and extra filtering needed.

    Figure 7.5 Harmonics in line current IGBT line generating unit.

    The harmonics of a voltage source AC drive can besignificantly reduced by connecting a large enoughinductor in its AC input or DC bus. The trend has been toreduce the size of converter while the inductor size hasbeen also reduced, or in several cases it has been omittedtotally. The effect of this can be seen from the curve formsin Figure 7.6.

    Figure 7.6 The effect of the inductor on the line current.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 21

  • 415 V, 50 Hz

    5th

    7th

    11th

    13th

    17th

    19th

    23rd

    25th

    THD

    DC Inductance/mH = This Figure/Motor kW

    Har

    mon

    ic C

    urre

    nt (p

    u)

    Load 60 A, Transformer power 50-315 kVA, line fault level 150 MVA

    TH

    D o

    f Vo

    ltag

    e (%

    )

    Short Circuit Ratio

    No inductor, 6-pulse

    Small inductor,6-pulse

    Large inductor,6-pulse

    Large inductor,12-pulse

    How to reduce harmonics by structural modifications in the AC drive system

    The chart in Figure 7.7 shows the effect of the size of the DCinductor on the harmonics. For the first 25 harmoniccomponents the theoretical THD minimum is 29%. That valueis practically reached when the inductance is 100 mH dividedby the motor kW or 1 mH for a 100 kW motor (415 V, 50 Hz).Practically sensible is about 25 mH divided by motor kW,which gives a THD of about 45%. This is 0,25 mH for a100 kW motor.

    Figure 7.7 Harmonic current as function of DC inductance.

    The voltage distortion with certain current distortiondepends on the Short Circuit Ratio Rsc of the supply. Thehigher the ratio, the lower the voltage distortion. This canbe seen in Figure 7.8.

    Figure 7.8 THD Voltage vs Type of AC drive and transformer size.

    Technical Guide No.6 - Guide to Harmonics with AC Drives22

  • Example: 45 kW Motor is connected to ”a 200kVA Transformer. ”THD = ca. 3% with a “LargeInductor Drive” and ca. 11% with a “NoInductor Drive”

    Tota

    l Har

    min

    ic V

    olta

    ge D

    isto

    rtio

    nInput Data to Calculations:

    Rated Motor for the DriveConstant Torque LoadVoltage 415 VDrive Efficiency = 97%Supply Impedance = 10%of Transformer Impedance

    SupplyTransformer

    (kVA)

    STOP TURN LEFT

    START

    TURN LEFT

    TURN UP

    Motor kW

    No DC-Inductor,6-pulse

    Small DC-Inductor, 6-pulse

    Large DC-Inductor, 6-pulse

    Large DC-Inductor, 12-pulse

    A = Large DC-InductanceB, C = Small DC-InductanceD, E = Without DC-Inductance

    How to reduce harmonics by structural modifications in the AC drive system

    Figure 7.9 introduces a simple nomogram for estimationof harmonic voltages. On the graph below right select firstthe motor kilowatt, then the transformer kVA and thenmove horizontally to the diagonal line where you moveupwards and stop at the curve valid for your application.Then turn left to the y-axis and read the total harmonicvoltage distortion.

    Figure 7.9 Total harmonic distortion nomogram.

    Results from laboratory tests with drive units from differentmanufacturers are shown in Figure 7.10. Drive A with largeDC inductor has the lowest harmonic current distortion, driveswith no inductor installed have the highest distortion.

    Figure 7.10. Harmonic current with different DC-Inductances.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 23

  • 8.1 Tuned singlearm passivefilter

    8.2 Tunedmultiple armpassive filter

    Chapter 8 - Other methods for harmonicsreduction

    Filtering is a method to reduce harmonics in an industrialplant when the harmonic distortion has been graduallyincreased or as a total solution in a new plant. There aretwo basic methods: passive and active filters.

    The principle of a tuned arm passive filter is shown in Figure8.1. A tuned arm passive filter should be applied at the singlelowest harmonic component where there is significantharmonic generation in the system. For systems that mostlysupply an industrial load this would probably be the fifthharmonic. Above the tuned frequency the harmonics areabsorbed but below that frequency they may be amplified.

    Detuned - Single tuning frequencyAbove tuned frequency harmonics absorbedBelow tuned frequency harmonics may be amplifiedHarmonic reduction limited by possible over compensationat the supply frequency and network itself

    Capacitive below tuned frequency/Inductive aboveBetter harmonic absorptionDesign consideration to amplification harmonics by filterLimited by KVAr and network

    Figure 8.1 Tuned single arm passive filter.

    This kind of filter consists of an inductor in series with acapacitor bank and the best location for the passive filteris close to the harmonic generating loads. This solution isnot normally used for new installations.

    The principle of this filter is shown in Figure 8.2. This filterhas several arms tuned to two or more of the harmoniccomponents which should be the lowest significantharmonic frequencies in the system. The multiple filterhas better harmonic absorption than the one arm system.

    Figure 8.2 Tuned multiple arm passive filter.

    Technical Guide No.6 - Guide to Harmonics with AC Drives24

  • Fundamental only idistortion

    icompensation

    Load

    ActiveFilter

    Current waveforms

    Supply

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    Loadcurrent

    Active filtercurrent

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    Other methods for harmonics reduction

    8.3 Externalactive filter

    The multiple arm passive filters are often used for largeDC drive installations where a dedicated transformer issupplying the whole installation.

    A passive tuned filter introduces new resonances that cancause additional harmonic problems. New power electron-ics technologies are resulting in products that can controlharmonic distortion with active control. These active filters,see Figure 8.3, provide compensation for harmonic com-ponents on the utility system based on existing harmonicgeneration at any given moment in time.

    Figure 8.3 External active filter principle diagram.

    The active filter compensates the harmonics generatedby nonlinear loads by generating the same harmonic com-ponents in opposite phase as shown in Figure 8.4. Externalactive filters are most suited to multiple small drives. Theyare relatively expensive compared to other methods.

    Figure 8.4 External active filter waveforms and harmonics.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 25

  • 9.5 24-pulserectifierwith 23-windingtransformers

    9.4 12-pulsewith doublewoundtransformer

    9.3 12-pulserectifier withpolycontransformer

    9.2 6-pulserectifier withinductor

    9.1 6-pulserectifier withoutinductor

    Chapter 9 - Summary of harmonicsattenuation

    There are many options to attenuate harmonics either insidethe drive system or externally. They all have advantagesand disadvantages and all of them show cost implications.The best solution will depend on the total loading, the supplyto the site and the standing distortion.In the following tables different internal actions are comparedto the basic system without inductor. The harmonic contentis given with 100% load. The costs are valid for small drives.For multidrive the 12-pulse solution is quite a lot cheaper.

    Manufacturing cost 100%Typical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th

    100% 63% 54% 10% 6,1% 6,7% 4,8%

    Manufacturing cost 120%. AC or DC choke addedTypical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th100% 30% 12% 8,9% 5,6% 4,4% 4,1%

    Manufacturing cost 200%Typical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th

    100% 11% 5,8% 6,2% 4,7% 1,7% 1,4%

    Manufacturing cost 210%Typical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th

    100% 3,6% 2,6% 7,5% 5,2% 1,2% 1,3%

    Manufacturing cost 250%Typical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th

    100% 4,0% 2,7% 1,0% 0,7% 1,4% 1,4%

    Technical Guide No.6 - Guide to Harmonics with AC Drives26

  • 9.6 Active IGBTrectifier

    Summary of harmonics attenuation

    Manufacturing cost 250%. Not significant if electricalbraking is anyway needed.Typical harmonic current components.

    Fundamental 5th 7th 11th 13th 17th 19th

    100% 2,6% 3,4% 3,0% 0,1% 2,1% 2,2%

    Technical Guide No.6 - Guide to Harmonics with AC Drives 27

  • Chapter 10 - Definitions

    S: Apparent power

    P: Active power

    Q: Reactive power

    Rsc: Short circuit ratio is defined as the short circuitpower of the supply at PCC to the nominal apparentpower of the equipment under consideration.Rsc = Ss / Sn.

    ω1: Angular frequency of fundamental componentω1 = 2*π*f1, where f1 is fundamental frequency(eg. 50Hz or 60Hz).

    n: Integer n = 2, 3, ... ∞. Harmonic frequencies aredefined as wn = n*ω1.

    In: RMS-value of n:th harmonic component of linecurrent.

    Zn: Impedance at frequency n*ω1.

    %Un: Harmonic voltage component as a percentage offundamental (line) voltage.

    THD: Total Harmonic Distortion in the input current isdefined as:

    where I1 is the rms value of the fundamental frequencycurrent. The THD in voltage may be calculated in a similarway. Here is an example for the 25 lowest harmoniccomponents with the theoretical values:

    PWHD: Partial weighted harmonic distortion is defined as:

    Technical Guide No.6 - Guide to Harmonics with AC Drives28

  • Definitions

    PCC: Point of Common Coupling is defined in this text assuch a point of utility supply which may be commonto the equipment in question and other equipment.There are several definitions of PCC in differentstandards and even more interpretations of thesedefinitions in literature. The definition chosen hereis seen as technically most sound.

    PF: Power Factor defined as PF = P/S (power / volt-ampere) = I1 / Is * DPF (With sinusoidal current PFequals to DPF).

    DPF: Displacement Power Factor defined as cosφ1, whereφ1 is the phase angle between the fundamentalfrequency current drawn by the equipment and thesupply voltage fundamental frequency component.

    Technical Guide No.6 - Guide to Harmonics with AC Drives 29

  • Chapter 11 - Index

    3-winding 265th harmonic 76-pulse rectifier 7, 18, 19, 206-pulse three phase rectifier 712-pulse rectifier 18, 19, 2024-pulse rectifier 18, 19

    AABB 6, 10AC inductor 21active filter 5, 24, 25active power 14, 28American National Standard 14anti-parallel 20apparent power 28attenuation 5, 26

    Ccalculation 5, 9, 11, 12, 15, 16, 23CE marking 12circuit breaker 8common DC-bus 19commutation notch 20compatibility limit 12, 13computer 8consumer's installation 14converter 6, 9, 12, 18, 20, 21converter load 6

    DDC-capacitor 18DC-current 18displacement power factor 20, 29distortion calculation 5, 6distortion nomogram 23DriveSize 9, 10, 11

    Eeffect 5, 6, 8, 17, 18, 21, 22electromagnetic compatibility(EMC) 22electronic device 8electronic display 8electronic lighting 8EMC product standard 12European Economic Area 12

    evaluating of harmonic 16external filtering 17

    Ffiltering 17, 18, 21, 24frequency 9, 12, 13, 14, 19, 24,28, 29fundamental frequency 7, 28, 29

    Hharmonic component 7, 19, 22,24, 25, 28harmonic currents 6, 7, 9, 11, 12,13, 15, 20, 21, 22, 23, 26, 27harmonic distortion 6, 8, 9, 12, 14,15, 16, 19, 23, 25, 28harmonic limit 12, 13, 14, 15, 16harmonics reduction 17, 24, 25harmonic voltage 23, 28harmonics phenomena 6, 7

    IIGBT bridge 20, 21inductance 17, 18, 22, 23inductor 5, 18, 21, 22, 23, 24, 26industrial installation 12installation 9, 12, 14, 15, 19, 24,25inverter selection 10inverter supply unit data 10

    Llaboratory test 23line current 6, 18, 21low-pass filter 18

    Mmains transformer 6manufacturing cost 26, 27metering 8motor load 9motor selection 10motor starter 8multiple arm passive filter 5, 24,25

    Technical Guide No.6 - Guide to Harmonics with AC Drives30

  • Index

    Nnetwork 10non-linear load 6, 8, 15, 16

    Ooverheating 8

    Ppassive filter 24, 25phase commutated rectifier 20PHD 12point of common coupling 15, 29power distribution 6power drive system 12power factor 16, 20, 29power port 12public supply 12PWHD 14, 28

    Rreactive power 21, 28rectifier 5, 6, 7, 17, 18, 19, 20,26, 27rectifying mode 20rectangular current 7regenerating mode 20report 11

    Sshort circuit power 14, 16, 17, 28short circuit ratio 22, 28source 6, 8, 9, 21source impedance 4, 9standard 12, 13, 14, 15, 18, 20,29structural modification 17, 18,19, 20, 21, 22, 23supply authority 14supply cable 18supply transformer 18supply voltage 6, 21, 29

    TTDD 15

    THD 12, 14, 22, 23, 28three-winding transformer 19thyristor 17, 19, 20total demand distortion 15total harmonic distortion 10,15, 23, 28transformer 9, 10tuned arm passive filter 24two-winding transformer 19

    Uuninterrupted power supply 8

    Vvariable speed drives 8voltage 6, 9, 11, 12, 13, 14, 17,18, 19, 20, 21, 22, 23voltage boost 21

    Wwelding supply 8

    Technical Guide No.6 - Guide to Harmonics with AC Drives 31

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