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Chapter M
Harmonic management
Contents
The problem: why is it necessary to detect M2and eliminate harmonics?
Standards M3
General M4
Main effects of harmonics in installations M6
4.1 Resonance M6
4.2 Increased losses M6
4.3 Overloads on equipment M7
4.4 Disturbances aecting sensitive loads M9
4.5 Economic impact M10
Essential indicators of harmonic distortion Mand measurement principles
5.1 Power actor M11
5.2 Crest actor M11
5.3 Power values and harmonics M11
5.4 Harmonic spectrum and harmonic distortion M12
5.5 Total harmonic distortion (THD) M12
5.6 Useulness o the various indicators M13
Measuring the indicators M4
6.1 Devices used to measure the indicators M14
6.2 Procedures or harmonic analysis o distribution networks M14
6.3 Keeping a close eye on harmonics M15
Detection devices M6
Solutions to attenuate harmonics M7
8.1 Basic solutions M17
8.2 Harmonic ltering M18
8.3 The method M20
8.4 Specic products M20
2
3
4
7
5
6
8
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The problem: why is it necessary
to detect and eliminate harmonics?
Disturbances caused by harmonics
Harmonics fowing in distribution networks downgrade the quality o electrical power.This can have a number o negative eects:
b Overloads on distribution networks due to the increase in rms currentb Overloads in neutral conductors due to the cumulative increase in third-orderharmonics created by single-phase loads
b Overloads, vibration and premature ageing o generators, transormers and motorsas well as increased transormer hum
b Overloads and premature ageing o power-actor correction capacitors
b Distortion o the supply voltage that can disturb sensitive loads
b Disturbances in communication networks and on telephone lines
Economic impact of disturbances
Harmonics have a major economic impact:b Premature ageing o equipment means it must be replaced sooner unlessoversized right rom the start
b Overloads on the distribution network can require higher subscribed power levelsand increase losses
b Distortion o current waveorms provokes nuisance tripping that can stopproduction
Increasingly serious consequences
Only ten years ago, harmonics were not yet considered a real problem becausetheir eects on distribution networks were generally minor. However, the massiveintroduction o power electronics in equipment has made the phenomenon ar moreserious in all sectors o economic activity.
In addition, the equipment causing the harmonics is oten vital to the company ororganisation.
Which harmonics must be measured and eliminated?
The most requently encountered harmonics in three-phase distribution networksare the odd orders. Harmonic amplitudes normally decrease as the requencyincreases. Above order 50, harmonics are negligible and measurements are nolonger meaningul. Suciently accurate measurements are obtained by measuring
harmonics up to order 30.
Utilities monitor harmonic orders 3, 5, 7, 11 and 13. Generally speaking, harmonicconditioning o the lowest orders (up to 13) is sucient. More comprehensiveconditioning takes into account harmonic orders up to 25.
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2 Standards
Harmonic emissions are subject to various standards and regulations:b Compatibility standards or distribution networks
b Emissions standards applying to the equipment causing harmonics
b Recommendations issued by utilities and applicable to installationsIn view o rapidly attenuating the eects o harmonics, a triple system o standardsand regulations is currently in orce based on the documents listed below.
Standards governing compatibility between distribution networks and
products
These standards determine the necessary compatibility between distributionnetworks and products:
b The harmonics caused by a device must not disturb the distribution networkbeyond certain limits
b Each device must be capable o operating normally in the presence odisturbances up to specifc levels
b Standard IEC 61000-2-2 or public low-voltage power supply systems
b Standard IEC 61000-2-4 or LV and MV industrial installations
Standards governing the quality of distribution networks
b Standard EN 50160 stipulates the characteristics o electricity supplied by publicdistribution networks
b Standard IEEE 519 presents a joint approach between Utilities and customersto limit the impact o non-linear loads. What is more, Utilities encourage preventiveaction in view o reducing the deterioration o power quality, temperature rise and thereduction o power actor. They will be increasingly inclined to charge customers ormajor sources o harmonics
Standards governing equipment
b Standard IEC 61000-3-2 or EN 61000-3-2 or low-voltage equipment with ratedcurrent under 16 A
b Standard IEC 61000-3-12 or low-voltage equipment with rated current higher than16 A and lower than 75 A
Maximum permissible harmonic levels
International studies have collected data resulting in an estimation o typical
harmonic contents oten encountered in electrical distribution networks. Figure M1presents the levels that, in the opinion o many utilities, should not be exceeded.
Fig. M1 : Maximum permissible harmonic levels
Odd harmonic orders Odd harmonic orders Even harmonic ordersnon-multiples of multiples of
Order h LV MV EMV Order h LV MV EMV Order h LV MV EMV
5 6 6 2 3 5 2.5 1.5 2 2 1.5 1.5
7 5 5 2 9 1.5 1.5 1 4 1 1 1
11 3.5 3.5 1.5 15 0.3 0.3 0.3 6 0.5 0.5 0.5
13 3 3 1.5 21 0.2 0.2 0.2 8 0.5 0.2 0.2
17 2 2 1 > 21 0.2 0.2 0.2 10 0.5 0.2 0.2
19 1.5 1.5 1 12 0.2 0.2 0.2
23 1.5 1 0.7 > 12 0.2 0.2 0.2
25 1.5 1 0.7
> 25 0.2 0.2 0.1+ 25/h + 25/h + 25/h
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The presence o harmonics indicates a distorted current or voltage wave. Thedistortion o the current or voltage wave means that the distribution o electricalenergy is disturbed and power quality is not optimum.
Harmonic currents are caused by non-linear loads connected to the distributionnetwork. The ow o harmonic currents causes harmonic voltages via distribution-network impedances and consequently distortion o the supply voltage.
Origin of harmonics
Devices and systems that cause harmonics are present in all sectors, i.e. industrial,commercial and residential. Harmonics are caused by non-linear loads (i.e. loadsthat draw current with a waveorm that is not the same as that o the supply voltage).
Examples o non-linear loads are:b Industrial equipment (welding machines, arc urnaces, induction urnaces,rectifers)
b Variable-speed drives or asynchronous or DC motors
b UPSs
b Ofce equipment (computers, photocopy machines, ax machines, etc.)
b
Home appliances (television sets, micro-wave ovens, uorescent lighting)b Certain devices involving magnetic saturation (transormers)
Disturbances caused by non-linear loads: harmonic current and voltage
Non-linear loads draw harmonic currents that ow in the distribution network.Harmonic voltages are caused by the ow o harmonic currents through theimpedances o the supply circuits (transormer and distribution network or situationssimilar to that shown in Figure M2).
3 General
Non-linear
load
AZh B
Ih
Fig. M2:Single-line diagram showing the impedance of the supply circuit for a harmonic of order h
The reactance o a conductor increases as a unction o the requency o the currentowing through the conductor. For each harmonic current (order h), there is thereorean impedance Zh in the supply circuit.
When the harmonic current o order h ows through impedance Zh, it creates aharmonic voltage Uh, where Uh = Zh x Ih (Ohm law). The voltage at point B isthereore distorted. All devices supplied via point B receive a distorted voltage.
For a given harmonic current, the distortion is proportional to the impedance in thedistribution network.
Flow of harmonic currents in distribution networks
The non-linear loads can be considered to reinject the harmonic currents upstreaminto the distribution network, toward the source.
Figures M3 and Mnext page show an installation disturbed by harmonics. FigureM3 shows the ow o the current at 50 Hz in the installation and Figure M4 showsthe harmonic current (order h).
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Fig. M3: Installation supplying a non-linear load, where only the phenomena concerning the
50 Hz frequency (fundamental frequency) are shown
Non-linear
load
Zl
I 50 Hz
3 General
Fig. M4: Same installation, where only the phenomena concerning the frequency of harmonicorder h are shown
Ih
Vh V
h= Harmonic voltage= Z
hx I
h
Zh
Non-linear
load
Supply o the non-linear load creates the ow o a current I50Hz (shown infgure M3), to which is added each o the harmonic currents Ih (shown in fgure M4),corresponding to each harmonic order h.
Still considering that the loads reinject harmonic current upstream into thedistribution network, it is possible to create a diagram showing the harmonic currentsin the network (seeFig. M).
A
MV/LV
Devices drawing rectifiedcurrent (televisions,computer hardware, etc.)
Fluorescent ordischarge lamps
Variable-speed drive
RectifierArc furnaceWelding machine
Linear loads
G
Backup powersupply
Power-factorcorrection
Ihe
Ihd
Ihb
Iha
(do not createharmonics)
Harmonic
disturbances todistribution networkand other users
Fig. M5: Flow of harmonic currents in a distribution network
Note in the diagram that though certain loads create harmonic currents in the distributionnetwork, other loads can absorb the harmonic currents.
Harmonics have major economic eects in installations:
b Increases in energy costs
b Premature ageing o equipment
b Production losses
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4.1 Resonance
The simultaneous use o capacitive and inductive devices in distribution networks
results in parallel or series resonance maniested by very high or very lowimpedance values respectively. The variations in impedance modiy the current andvoltage in the distribution network. Here, only parallel resonance phenomena, themost common, will be discussed.
Consider the ollowing simplied diagram (see Fig. M) representing an installationmade up o:b A supply transormer
b Linear loads
b Non-linear loads drawing harmonic currents
b Power actor correction capacitorsFor harmonic analysis, the equivalent diagram (see Fig. M7) is shown below.Impedance Z is calculated by:
Zs
=jL
1-LsC 2
neglecting R and where:
Ls = Supply inductance (upstream network + transormer + line)
C = Capacitance o the power actor correction capacitors
R = Resistance o the linear loads
Ih = Harmonic current
Resonance occurs when the denominator 1-LsCw2 tends toward zero. Thecorresponding requency is called the resonance requency o the circuit. At thatrequency, impedance is at its maximum and high amounts o harmonic voltagesappear with the resulting major distortion in the voltage. The voltage distortion isaccompanied, in the Ls+C circuit, by the fow o harmonic currents greater thanthose drawn by the loads.
The distribution network and the power actor correction capacitors are subjected tohigh harmonic currents and the resulting risk o overloads. To avoid resonance, anti-harmonic coils can be installed in series with the capacitors.
4.2 Increased losses
Losses in conductors
The active power transmitted to a load is a unction o the undamental component I1o the current.
When the current drawn by the load contains harmonics, the rms value o thecurrent, Irms, is greater than the undamental I1.
The denition o THD being:
THD =rms
1
I
I
2
1
it may be deduced that: I Irms = 1 + THD21
Figure M8 (next page) shows, as a unction o the harmonic distortion:
b The increase in the rms current Irms or a load drawing a given undamentalcurrent
b The increase in Joule losses, not taking into account the skin eect
(The reerence point in the graph is 1 or Irms and Joules losses, the case whenthere are no harmonics)
The harmonic currents provoke an increase in the Joule losses in all conductors inwhich they fow and additional temperature rise in transormers, devices, cables, etc.
Losses in asynchronous machines
The harmonic voltages (order h) supplied to asynchronous machines provoke in therotor the fow o currents with requencies higher than 50 Hz that are the cause o
additional losses.
4 Main effects of harmonics in
installations
Non-linearload
Capacitorbank
Linearload
Ih
C
Fig. M6: Diagram o an installation
Ls C R Ih
Z
Fig. M7: Equivalent diagram o the installation shown in
Figure M6
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Orders of magnitude
b A virtually rectangular supply voltage provokes a 20% increase in losses
b A supply voltage with harmonics u5 = 8% (o U1, the undamental voltage),u7 = 5%, u11 = 3%, u13 = 1%, i.e. total harmonic distortion THDu equal to 10%,results in additional losses o 6%
Losses in transformers
Harmonic currents fowing in transormers provoke an increase in the copperlosses due to the Joule eect and increased iron losses due to eddy currents. Theharmonic voltages are responsible or iron losses due to hysteresis.
It is generally considered that losses in windings increase as the square o the THDiand that core losses increase linearly with the THDu.
In utility-distribution transormers, where distortion levels are limited, losses increasebetween 10 and 15%.
Losses in capacitors
The harmonic voltages applied to capacitors provoke the fow o currentsproportional to the requency o the harmonics. These currents cause additionallosses.
Example
A supply voltage has the ollowing harmonics:
Fundamental voltage U1, harmonic voltages u5 = 8% (o U1), u7 = 5%, u11 = 3%,u13 = 1%, i.e. total harmonic distortion THDu equal to 10%. The amperage o thecurrent is multiplied by 1.19. Joule losses are multiplied by 1.192, i.e. 1.4.
4.3 Overloads on equipment
Generators
Generators supplying non-linear loads must be derated due to the additional lossescaused by harmonic currents.
The level o derating is approximately 10% or a generator where the overall loadis made up o 30% o non-linear loads. It is thereore necessary to oversize thegenerator.
Uninterruptible power systems (UPS)The current drawn by computer systems has a very high crest actor. A UPS sizedtaking into account exclusively the rms current may not be capable o supplying thenecessary peak current and may be overloaded.
0 20 40 60 80 100 120
1
1.2
1.4
1.6
1.8
2
2.2
0.8 THD(%)
Joules losses
Irms
Fig. M8: Increase in rms current and Joule losses as a unction o the THD
4 Main effects of harmonics in
installations
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Transformers
b The curve presented below (see Fig. M9) shows the typical derating required or atransormer supplying electronic loads
Example
I the transormer supplies an overall load comprising 40% o electronic loads, it mustbe derated by 40%.
b Standard UTE C15-112 provides a derating actor or transormers as a unction othe harmonic currents.
k1
1 0.1 h1.6
h 2
40
=
+
= Th2
Th =I
I
h
1
Typical values:
b Current with a rectangular waveorm (1/h spectrum (1)): k = 0.86
b Frequency-converter current (THD 50%): k = 0.80
Asynchronous machines
Standard IEC 60892 denes a weighted harmonic actor (Harmonic voltage actor)or which the equation and maximum value are provided below.
HVF U 0.02h
h 2
13
==
h2i
Example
A supply voltage has a undamental voltage U1 and harmonic voltages u3 = 2% oU1, u5 = 3%, u7 = 1%. The THDu is 3.7% and the MVF is 0.018. The MVF valueis very close to the maximum value above which the machine must be derated.Practically speaking, or supply to the machine, a THDu o 10% must not beexceeded.
Capacitors
According to IEC 60831-1 standard, the rms current fowing in the capacitors mustnot exceed 1.3 times the rated current.
Using the example mentioned above, the undamental voltage U1, harmonic voltagesu5 = 8% (o U1), u7 = 5%, u11 = 3%, u13 = 1%, i.e. total harmonic
distortion THDu equal to 10%, the result is II
rms1
=1 19. , at the rated voltage. For a
voltage equal to 1.1 times the rated voltage, the current limit I
I
rms
1=1 3. is reached
and it is necessary to resize the capacitors.
(1) In act, the current waveorm is similar to a rectangularwaveorm. This is the case or all current rectiers (three-phase
rectiers, induction urnaces).
%Electronic
load
0 20 40 60 80 100
10
20
0
kVA(%)
30
40
50
60
70
80
90
100
Fig. M9: Derating required or a transormer supplying electronic loads
4 Main effects of harmonics in
installations
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4 Main effects of harmonics in
installations
Is
Ir
It
In
Load
Load
Load
Fig. M10: Flow o currents in the various conductors
connected to a three-phase source
Neutral conductors
Consider a system made up o a balanced three-phase source and three identicalsingle-phase loads connected between the phases and the neutral (see Fig. M10).
Figure M11 shows an example o the currents fowing in the three phases and theresulting current in the neutral conductor.
In this example, the current in the neutral conductor has an rms value that is higherthan the rms value o the current in a phase by a actor equal to the square root o 3.The neutral conductor must thereore be sized accordingly.
Fig. M11 : Example o the currents fowing in the various conductors connected to a three-phase
load (In =Ir +Is +It)
20 400
n
t (ms)
t
(A)
It
Is
t
t
Ir
t
4.4 Disturbances affecting sensitive loads
Effects of distortion in the supply voltage
Distortion o the supply voltage can disturb the operation o sensitive devices:b Regulation devices (temperature)
b Computer hardwareb Control and monitoring devices (protection relays)
Distortion of telephone signalsHarmonics cause disturbances in control circuits (low current levels). The level odistortion depends on the distance that the power and control cables run in parallel,the distance between the cables and the requency o the harmonics.
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4 Main effects of harmonics in
installations
4.5 Economic impact
Energy losses
Harmonics cause additional losses (Joule eect) in conductors and equipment.
Higher subscription costs
The presence o harmonic currents can require a higher subscribed power level andconsequently higher costs.
What is more, utilities will be increasingly inclined to charge customers or majorsources o harmonics.
Oversizing of equipment
b Derating o power sources (generators, transormers and UPSs) means they mustbe oversized
b Conductors must be sized taking into account the fow o harmonic currents.In addition, due the the skin eect, the resistance o these conductors increaseswith requency. To avoid excessive losses due to the Joule eect, it is necessary to
oversize conductorsb Flow o harmonics in the neutral conductor means that it must be oversized as well
Reduced service life of equipment
When the level o distortion in the supply voltage approaches 10%, the durationo the service lie o equipment is signicantly reduced. The reduction has beenestimated at:
b 32.5% or single-phase machines
b 18% or three-phase machines
b 5% or transormers
To maintain the service lives corresponding to the rated load, equipment must beoversized.
Nuisance tripping and installation shutdown
Circuit-breakers in the installation are subjected to current peaks caused byharmonics.
These current peaks cause nuisance tripping with the resulting production losses, aswell as the costs corresponding to the time required to start the installation up again.
Examples
Given the economic consequences or the installations mentioned below, it wasnecessary to install harmonic lters.
Computer centre for an insurance company
In this centre, nuisance tripping o a circuit-breaker was calculated to have cost100 k per hour o down time.
Pharmaceutical laboratory
Harmonics caused the ailure o a generator set and the interruption o a long-duration test on a new medication. The consequences were a loss estimated at
17 M.
Metallurgy factory
A set o induction urnaces caused the overload and destruction o threetransormers ranging rom 1500 to 2500 kVA over a single year. The cost o theinterruptions in production were estimated at 20 k per hour.
Factory producing garden furniture
The ailure o variable-speed drives resulted in production shutdowns estimated at10 k per hour.
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A number o indicators are used to quantiy and evaluate the harmonic distortionin current and voltage waveorms, namely:
b Power actor
b Crest actorb Distortion power
b Harmonic spectrum
b Harmonic-distortion values
These indicators are indispensable in determining any necessary corrective action.
5.1 Power actor
Defnition
The power actor PF is the ratio between the active power P and the apparentpower S.
PFP
S
=
mong electricians, there is often confusion with:
cP1
S1os =
Where
P1 = active power o the undamental
S1 = apparent power o the undamental
The cos concerns exclusively the undamental requency and thereore diersrom the power actor PF when there are harmonics in the installation.
Interpreting the power actor
An initial indication that there are signicant amounts o harmonics is a measured
power actor PF that is dierent (lower) than the measured cos .
5.2 Crest actor
Defnition
The crest actor is the ratio between the value o the peak current or voltage (Im orUm) and its rms value.
b For a sinusoidal signal, the crest actor is thereore equal to 2.
b For a non-sinusoidal signal, the crest actor can be either greater than or lessthan2.
In the latter case, the crest actor signals divergent peak values with respect to therms value.
Interpretation o the crest actor
The typical crest actor or the current drawn by non-linear loads is much higherthan2. It is generally between 1.5 and 2 and can even reach 5 in critical cases.A high crest actor signals high transient overcurrents which, when detected byprotection devices, can cause nuisance tripping.
5.3 Power values and harmonics
Active power
The active power P o a signal comprising harmonics is the sum o the activepowers resulting rom the currents and voltages o the same order.
Reactive powerReactive power is dened exclusively in terms o the undamental, i.e.
Q U1 1 x sin 1= x I
Distortion power
When harmonics are present, the distortion power D is dened asD = (S2 - P2 - Q2)1/2 where S is the apparent power.
5 Essential indicators o harmonic
distortion and measurement
principles
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5.4 Harmonic spectrum and harmonic distortion
Principle
Each type o device causing harmonics draws a particular orm o harmonic current(amplitude and phase displacement).These values, notably the amplitude or each harmonic order, are essential oranalysis.
Individual harmonic distortion (or harmonic distortion oorder h)
The individual harmonic distortion is dened as the percentage o harmonics ororder h with respect to the undamental.
u % 100U
U
or
i % 100
hh
1
hh
1
( ) =
( ) =I
I
Harmonic spectrum
By representing the amplitude o each harmonic order with respect to its requency, itis possible to obtain a graph called the harmonic spectrum.
Figure M12 shows an example o the harmonic spectrum or a rectangular signal.
Rms value
The rms value o the voltage and current can be calculated as a unction o the rmsvalue o the various harmonic orders.
I Irms
rms
=
=
=
=
h
2
h 1
h
2
h 1
and
U U
5.5 Total harmonic distortion (THD)
The term THD means Total Harmonic Distortion and is a widely used notion indening the level o harmonic content in alternating signals.
Defnition o THD
For a signal y, the THD is dened as:
THDh
==
y
y
h2
2
1
This complies with the denition given in standard IEC 61000-2-2.
Note that the value can exceed 1.
According to the standard, the variable h can be limited to 50. The THD is the meansto express as a single number the distortion aecting a current or voltage fowing at agiven point in the installation.
The THD is generally expressed as a percentage.
Current or voltage THD
For current harmonics, the equation is:
THDih
==
I
I
h
2
2
1
t
1
t
2 3 4 5 6
H %
100
33
20
10
h
Fig. M12: Harmonic spectrum of a rectangular signal, for a
voltage U (t)
5 Essential indicators o harmonic
distortion and measurement
principles
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The equation below is equivalent to the above, but easier and more direct when thetotal rms value is available:
THD i =
I
I
rms
1
2
1
For voltage harmonics, the equation is:
THD
U
Uu
h=
=
h2
2
1
Relation between power actor and THD (see Fig. M13)
When the voltage is sinusoidal or virtually sinusoidal, it may be said that:
P P U . . cos1 1 1 =1 I
Consequently : PF =P
S
U . .cos
U .
1 1 1
1 rms
I
I
as:I
I
1
rms
1
1+THDi
=2
hence: PFcos
1+THDi
1
2
Figure M13 shows a graph o
PF
cosas a unction o THDi.
5.6 Useulness o the various indicators
The THDu characterises the distortion o the voltage wave.
Below are a number o THDu values and the corresponding phenomena in the
installation:b THDu under 5% - normal situation, no risk o malunctions
b 5 to 8% - signicant harmonic pollution, some malunctions are possibleb Higher than 8% - major harmonic pollution, malunctions are probable. In-depthanalysis and the installation o attenuation devices are required
The THDi characterises the distortion o the current wave.
The disturbing device is located by measuring the THDi on the incomer and eachoutgoer o the various circuits and thus ollowing the harmonic trail.
Below are a number o THDi values and the corresponding phenomena in theinstallation:b THDi under 10% - normal situation, no risk o malunctionsb 10 to 50% - signicant harmonic pollution with a risk o temperature rise and theresulting need to oversize cables and sourcesb Higher than 50% - major harmonic pollution, malunctions are probable. In-depthanalysis and the installation o attenuation devices are required
Power actor PF
Used to evaluate the necessary oversizing or the power source o the installation.
Crest actor
Used to characterise the aptitude o a generator (or UPS) to supply highinstantaneous currents. For example, computer equipment draws highly distortedcurrent or which the crest actor can reach 3 to 5.
Spectrum (decomposition o the signal into requencies)
It provides a dierent representation o electrical signals and can be used to evaluatetheir distortion.
Fig. M13: Variation inPF
cosas a function of the THDi, where
THDu = 0
5 Essential indicators o harmonic
distortion and measurement
principles
0.6
0.4
0.2
0.8
1
1.2
PF
cos
100500
THDi(%)
150
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6.1 Devices used to measure the indicators
Device selection
The traditional observation and measurement methods include:
b Observations using an oscilloscopeAn initial indication on the distortion aecting a signal can be obtained by viewing thecurrent or the voltage on an oscilloscope.
The waveorm, when it diverges rom a sinusoidal, clearly indicates the presence oharmonics. Current and voltage peaks can be viewed.
Note, however, that this method does not oer precise quantication o the harmoniccomponents
b Analogue spectral analysersThey are made up o passband lters coupled with an rms voltmeter. They oermediocre perormance and do not provide inormation on phase displacement.
Only the recent digital analysers can determine sufciently precisely thevalues o all the mentioned indicators.
Functions o digital analysers
The microprocessors in digital analysers:
b Calculate the values o the harmonic indicators (power actor, crest actor,distortion power, THD)
b Carry out various complementary unctions (corrections, statistical detection,measurement management, display, communication, etc.)
b In multi-channel analysers, supply virtually in real time the simultaneous spectraldecomposition o the currents and voltages
Analyser operation and data processing
The analogue signals are converted into a series o numerical values.
Using this data, an algorithm implementing the Fast Fourier Transorm (FFT)calculates the amplitudes and the phases o the harmonics over a large number otime windows.
Most digital analysers measure harmonics up to order 20 or 25 when calculating the
THD.
Processing o the successive values calculated using the FFT (smoothing,classication, statistics) can be carried out by the measurement device or by externalsotware.
6.2 Procedures or harmonic analysis o distributionnetworks
Measurements are carried out on industrial or commercial site:
b Preventively, to obtain an overall idea on distribution-network status (network map)
b In view o corrective action:
v To determine the origin o a disturbance and determine the solutions required toeliminate it
v To check the validity o a solution (ollowed by modications in the distributionnetwork to check the reduction in harmonics)
Operating mode
The current and voltage are studied:
b At the supply source
b On the busbars o the main distribution switchboard (or on the MV busbars)
b On each outgoing circuit in the main distribution switchboard (or on theMV busbars)
For the measurements, it is necessary to know the precise operating conditionso the installation and particularly the status o the capacitor banks (operating, notoperating, the number o disconnected steps).
Analysis results
b Determine any necessary derating o equipment in the installation or
b Quantiy any necessary harmonic protection and ltering systems to be installed inthe distribution network
b Enable comparison between the measured values and the reerence values o theutility (maximum harmonic values, acceptable values, reerence values)
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Use o measurement devices
Measurement devices serve to show both the instantaneous and long-term eects oharmonics. Analysis requires values spanning durations ranging rom a ew seconds
to several minutes over observation periods o a number o days.
The required values include:
b The amplitudes o the harmonic currents and voltages
b The individual harmonic content o each harmonic order o the current and voltage
b The THD or the current and voltage
b Where applicable, the phase displacement between the harmonic voltage andcurrent o the same harmonic order and the phase o the harmonics with respect to acommon reerence (e.g. the undamental voltage)
6.3 Keeping a close eye on harmonics
The harmonic indicators can be measured:
b Either by devices permanently installed in the distribution network
b Or by an expert present at least a hal day on the site (limited perception)
Permanent devices are preerable
For a number o reasons, the installation o permanent measurement devices in thedistribution network is preerable.
b The presence o an expert is limited in time. Only a number o measurements atdierent points in the installation and over a suciently long period (one week to amonth) provide an overall view o operation and take into account all the situationsthat can occur ollowing:v Fluctuations in the supply source
v Variations in the operation o the installationv The addition o new equipment in the installation
b Measurement devices installed in the distribution network prepare and acilitate thediagnosis o the experts, thus reducing the number and duration o their visits
b Permanent measurement devices detect any new disturbances arising ollowingthe installation o new equipment, the implementation o new operating modes orfuctuations in the supply network
Take advantage o built-in measurement and detection devices
Measurement and detection devices built into the electrical distribution equipment:
b For an overall evaluation o network status (preventive analysis), avoid:v Renting measurement equipmentv Calling in experts
v Having to connect and disconnect the measurement equipment.
For the overall evaluation o network status, the analysis on the main low-voltagedistribution switchboards (MLVS) can oten be carried out by the incoming deviceand/or the measurement devices equipping each outgoing circuit
b For corrective action, are the means to:v Determine the operating conditions at the time o the incident
v Draw up a map o the distribution network and evaluate the implemented solution
The diagnosis is improved by the use o equipment intended or the studied problem.
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7 Detection devices
PowerLogic System with Power Meter andCircuit Monitor, Micrologic offer a completerange of devices for the detection of harmonicdistortion
Measurements are the frst step in gaining control over harmonic pollution.Depending on the conditions in each installation, dierent types o equipmentprovide the necessary solution.
Power-monitoring units
Power Meter and Circuit Monitor in the PowerLogic System
These products oer high-perormance measurement capabilities or low andmedium-voltage distribution networks. They are digital units that include power-quality monitoring unctions.
PowerLogic System is a complete oer comprising Power Meter (PM) and CircuitMonitor (CM). This highly modular oer covers needs ranging rom the most simple(Power Meter) up to highly complex requirements (Circuit Monitor). These productscan be used in new or existing installations where the level o power quality must beexcellent. The operating mode can be local and/or remote.
Depending on its position in the distribution network, a Power Meter provides an initialindication on power quality. The main measurements carried out by a Power Meter are:
b Current and voltage THD
b Power actor
Depending on the version, these measurements can be combined with time-stamping and alarm unctions.
A Circuit Monitor (see Fig. M14) carries out a detailed analysis o power qualityand also analyses disturbances on the distribution network. The main unctions o aCircuit Monitor are:
b Measurement o over 100 electrical parameters
b Storage in memory and time-stamping o minimum and maximum values or eachelectrical parameter
b Alarm unctions tripped by electrical parameter values
b Recording o event data
b Recording o current and voltage disturbances
b Harmonic analysis
b Waveorm capture (disturbance monitoring)
Micrologic - a power-monitoring unit built into the circuit-breaker
For new installations, the Micrologic H control unit (see Fig. M15), an integral parto Masterpact power circuit-breakers, is particularly useul or measurements at thehead o an installation or on large outgoing circuits.
The Micrologic H control unit oers precise analysis o power quality and detaileddiagnostics on events. It is designed or operation in conjunction with a switchboarddisplay unit or a supervisor. It can:
b Measure current, voltage, active and reactive power
b Measure current and voltage THD
bDisplay the amplitude and phase of current and voltage harmonics up to the 51 st order
b Carry out waveorm capture (disturbance monitoring)
The unctions oered by the Micrologic H control unit are equivalent to those o aCircuit Monitor.
Operation of power-monitoring units
Software for remote operation and analysis
In the more general ramework o a distribution network requiring monitoring,the possibility o interconnecting these various devices can be oered in acommunication network, thus making it possible to centralise inormation and obtainan overall view o disturbances throughout the distribution network.
Depending on the application, the operator can then carry out measurements in realtime, calculate demand values, run waveorm captures, anticipate on alarms, etc.
The power-monitoring units transmit all the available data over either a Modbus,Digipact or Ethernet network.
The essential goal o this system is to assist in identiying and planning maintenancework. It is an eective means to reduce servicing time and the cost o temporarilyinstalling devices or on-site measurements or the sizing o equipment (flters).
Supervision software SMS
SMS is a very complete software used to analyse distribution networks, in conjunction
with the products in the PowerLogic System. Installed on a standard PC, it can:b Display measurements in real time
b Display historical logs over a given period
b Select the manner in which data is presented (tables, various curves)
b Carry out statistical processing o data (display bar charts)
Fig. M14: Circuit monitor
Fig. M15: Micrologic H control unit with harmonic metering for
Masterpact NT and NW circuit-breakers
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8 Solutions to attenuate
harmonics
There are three dierent types o solutions to attenuate harmonics:
b Modications in the installation
b Special devices in the supply system
b Filtering
8.1 Basic solutions
To limit the propagation o harmonics in the distribution network, dierent solutionsare available and should be taken into account particularly when designing a newinstallation.
Position the non-linear loads upstream in the system
Overall harmonic disturbances increase as the short-circuit power decreases.
All economic considerations aside, it is preerable to connect the non-linear loads asar upstream as possible (see Fig. M16).
Fig. M16: Non-linear loads positioned as ar upstream as possible (recommended layout)
Group the non-linear loads
When preparing the single-line diagram, the non-linear devices should be separatedrom the others (see Fig. M17). The two groups o devices should be supplied bydierent sets o busbars.
Sensitiveloads
Line impedances
Non-linearload 1
Non-linearload 2
Yes No
Fig. M17: Grouping o non-linear loads and connection as ar upstream as possible
(recommended layout)
Create separate sources
In attempting to limit harmonics, an additional improvement can be obtained bycreating a source via a separate transormer as indicated in the Figure M18 nextpage.
The disadvantage is the increase in the cost o the installation.
Sensitiveloads
Z2
Z1
Non-linearloads
Where impedanceZ
1< Z
2
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Non-linear
loads
Linear
loads
MV
network
Fig. M18: Supply o non-linear loads via a separate transormer
Transormers with special connections
Dierent transormer connections can eliminate certain harmonic orders, asindicated in the examples below:b A Dyd connection suppresses 5th and 7th harmonics (see Fig. M19)
b A Dy connection suppresses the 3rd harmonic
b A DZ 5 connection suppresses the 5th
harmonic
h11, h13
h5, h7, h11, h13
h5, h7, h11, h13
Fig. M19: A Dyd transormer blocks propagation o the 5thand 7thharmonics to the upstream
network
Install reactors
When variable-speed drives are supplied, it is possible to smooth the currentby installing line reactors. By increasing the impedance o the supply circuit, theharmonic current is limited.
Installation o harmonic suppression reactors on capacitor banks increases theimpedance o the reactor/capacitor combination or high-order harmonics.
This avoids resonance and protects the capacitors.
Select the suitable system earthing arrangement
TNC system
In the TNC system, a single conductor (PEN) provides protection in the event o anearth ault and the fow o unbalance currents.
Under steady-state conditions, the harmonic currents fow in the PEN. The latter,however, has a certain impedance with as a result slight dierences in potential (aew volts) between devices that can cause electronic equipment to malunction.
The TNC system must thereore be reserved or the supply o power circuits at thehead o the installation and must not be used to supply sensitive loads.
TNS system
This system is recommended i harmonics are present.
The neutral conductor and the protection conductor PE are completely separate andthe potential throughout the distribution network is thereore more uniorm.
8.2 Harmonic fltering
In cases where the preventive action presented above is insucient, it is necessaryto equip the installation with ltering systems.
There are three types o lters:
b Passive
b Active
b Hybrid
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Passive flters
Typical applications
b Industrial installations with a set o non-linear loads representing more than
200 kVA (variable-speed drives, UPSs, rectiers, etc.)
b Installations requiring power-actor correction
b Installations where voltage distortion must be reduced to avoid disturbing sensitive
loads
b Installations where current distortion must be reduced to avoid overloads
Operating principle
An LC circuit, tuned to each harmonic order to be ltered, is installed in parallel with
the non-linear load (see Fig. M20). This bypass circuit absorbs the harmonics, thusavoiding their fow in the distribution network.
Generally speaking, the passive lter is tuned to a harmonic order close to the orderto be eliminated. Several parallel-connected branches o lters can be used i a
signicant reduction in the distortion o a number o harmonic orders is required.
Active flters (active harmonic conditioner)
Typical applications
b Commercial installations with a set o non-linear loads representing less than
200 kVA (variable-speed drives, UPSs, oce equipment, etc.)
b Installations where current distortion must be reduced to avoid overloads.
Operating principle
These systems, comprising power electronics and installed in series or parallel withthe non-linear load, compensate the harmonic current or voltage drawn by the load.
Figure M21 shows a parallel-connected active harmonic conditioner (AHC)compensating the harmonic current (Ihar = -Iact).
The AHC injects in opposite phase the harmonics drawn by the non-linear load, such
that the line current Is remains sinusoidal.
Hybrid flters
Typical applications
b Industrial installations with a set o non-linear loads representing more than
200 kVA (variable-speed drives, UPSs, rectiers, etc.)
b Installations requiring power-actor correction
b Installations where voltage distortion must be reduced to avoid disturbing sensitiveloads
b Installations where current distortion must be reduced to avoid overloads
b Installations where strict limits on harmonic emissions must be met
Operating principle
Passive and active lters are combined in a single system to constitute a hybrid lter
(see Fig. M22). This new ltering solution oers the advantages o both types olters and covers a wide range o power and perormance levels.
Selection criteria
Passive flter
It oers both power-actor correction and high current-ltering capacity.
Passive lters also reduce the harmonic voltages in installations where the supplyvoltage is disturbed. I the level o reactive power supplied is high, it is advised to turn
o the passive lter at times when the percent load is low.
Preliminary studies or a lter must take into account the possible presence o a
power actor correction capacitor bank which may have to be eliminated.
Active harmonic conditioners
They lter harmonics over a wide range o requencies and can adapt to any type oload.
On the other hand, power ratings are low.
Hybrid flters
They combine the perormance o both active and passive lters.Fig. M22: Operating principle o a hybrid flter
Fig. M20: Operating principle o a passive flter
Non-linear
load
I har
Filter
Non-linear
load
Linear
load
AHC
IsI har
Iact
Fig. M21 : Operating principle o an active flter
Non-linearload
Linearload
AHC
IsI har
Iact
Hybride filter
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A complete set o services can be oered toeliminate harmonics:
b Installation analysisb Measurement and monitoring systems
b Filtering solutions
8.3 The method
The best solution, in both technical and nancial terms, is based on the results o an
in-depth study.Harmonic audit o MV and LV networks
By calling on an expert, you are guaranteed that the proposed solution will produceeective results (e.g. a guaranteed maximum THDu).
A harmonic audit is carried out by an engineer specialised in the disturbancesaecting electrical distribution networks and equipped with powerul analysis andsimulation equipment and sotware.
The steps in an audit are the ollowing:
b Measurement o disturbances aecting current and phase-to-phase and phase-to-neutral voltages at the supply source, the disturbed outgoing circuits and thenon-linear loads
b Computer modelling o the phenomena to obtain a precise explanation o thecauses and determine the best solutions
b A complete audit report presenting:v The current levels o disturbances
v The maximum permissible levels o disturbances (IEC 61000, IEC 34, etc.)b A proposal containing solutions with guaranteed levels o perormance
b Finally, implementation o the selected solution, using the necessary means andresources.
The entire audit process is certied ISO 9002.
8.4 Specifc products
Passive flters
Passive lters are made up o coils and capacitors set up in resonant circuits tunedto the specic harmonic order that must be eliminated.
A system may comprise a number o lters to eliminate several harmonic orders.Suitable or 400 V three-phase voltages, the power ratings can reach:
b 265 kvar / 470 A or harmonic order 5b 145 kvar / 225 A or harmonic order 7
b 105 kvar / 145 A or harmonic order 11
Passive lters can be created or all voltage and current levels.
Active flters
b SineWave active harmonic conditionersv Suitable or 400 V three-phase voltages, they can deliver between 20 and 120 Aper phasev SineWave covers all harmonic orders rom 2 to 25. Conditioning can be total ortarget specic harmonic ordersv Attenuation: THDi load / THDi upstream greater than 10 at rated capacityv Functions include power actor correction, conditioning o zero-sequenceharmonics, diagnostics and maintenance system, parallel connection, remotecontrol, Ibus/RS485 communication interace
b Accusine active ltersv Suitable or 400 and 480 V three-phase voltages, they can lter between 50 and 30A per phasev All harmonic orders up to 50 are lteredv Functions include power actor correction, parallel connection, instantaneousresponse to load variations
Hybrid flters
These lters combine the advantages o both a passive lter and the SineWaveactive harmonic conditioner in a single system.
8 Solutions to attenuate
harmonics