harmonics

104
New Loads on Old Systems Stefan Fassbinder DKI German Copper Institute Am Bonneshof 5 D-40474 Düsseldorf Tel.: +49 211 4796-323 Fax: +49 211 4796-310 sfassbinder@kupferinstitut.de www.kupferinstitut.de

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Page 1: Harmonics

New Loads onOld SystemsStefan FassbinderDKIGerman Copper InstituteAm Bonneshof 5D-40474 DüsseldorfTel.: +49 211 4796-323Fax: +49 211 [email protected]

Page 2: Harmonics

The German Copper Institute, DKI, is the central information and advisory service dealing with all uses of copper and its alloys

We offer our services to: Commercial companies The skilled trades Industry Research institutes Universities Artists and craftsmen Students General Public

We can be contacted by: post phone fax e-mail internet online database, or personally

Page 3: Harmonics

Standards and Power Quality – a major problem in publicand commercial buildings

The substantial growth in the number of electronic devices being used in recent years has resulted in a significant change in the types of load being driven by today’s power distribution systems.

Because these devices are equipped with rectifiers and smoothing capacitors, the current drawn from the power system is significantly distorted from the sinusoidal waveform provided by the utility companies.

This has serious consequences for power quality...

Page 4: Harmonics

Power quality problems

Turn off the mixer love, the monitor’s

flickering again!

are usually of terrestrial

origin.

Page 5: Harmonics

The good old days:

Ideal

three-phase system voltage

Three balanced ohmic-inductive single-phase loads on the three phase mains

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i1 (L1)i1 (L2)i1 (L3)

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Page 6: Harmonics

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gleichgerichteteNetzspannung

Kondensator-spannung

gleichgerichteterNetzstrom

The situation today:

Computed current and voltage profiles when a230 V, 58 W fluorescent lamp with an old-style electronic ballast is driven on the phase wire of a typical power distribution system...

System voltage: 230 VSystem frequency: 50 HzSource resistance: 500 mLongitudinal induction: 904 µHSystem impedance: 575 mMean d.c. current: 180 mASmoothing capacitance: 220 µF

Page 7: Harmonics

And what about electronic ballasts that are rated over 25W? Introduce electronic power factor correction (PFC)

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Page 8: Harmonics

Though today’s ballasts are better if rated >25 W

Only the small ones continue to pollute, just like PCs, TV sets, ... do

Page 9: Harmonics

This leads to a number of previously unknown effects:

1.Deformed voltage curves

2.Huge inrush current peaks

3. Instrument dependent measured parameters

4. Increased loading of phase conductors

5.Loading and overloading of the neutral conductor

6.Overheating and start-up problems of induction motors

7.Additional stray losses in transformers8.Repercussions of generators upon the mains9. Influence of capacitors, repercussions upon the mains

... and four additional complications in TN-C systems:

10.Stray currents in equipotential bonding system: magnetic fields

11. Contamination of data streams by stray currents

12.Stray currents in the earthing system: corrosion damage

13.Lightning currents in devices and equipment

Page 10: Harmonics

1. Deformed voltage curvesin theory ...

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System voltage profile when driving a single-phase load comprising

twenty 58 W energy-saver lamps in parallel on a typical 230 V power

system

Page 11: Harmonics

... and in practice ...

An actual current profile

and

a voltage profile

recorded in a large storage, dispatch and

administrative building

Page 12: Harmonics

... at home or in industrial environments

Television, 40 W

200 V/div., 2 A/div.,5 ms/div.

Harmonic spectrum

Frequencyconverter

50 A/div.Phase currents:I1=I2=I3=16.0 A

IN=29.5 A5 ms/div.

Page 13: Harmonics

Every periodic waveform can be writtenas the infinite sum of sinusoidal waves ...

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Sum of squares: I² = 9855 mA²Root of sum = RMS value: I = 99 mA

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Sum of squares: I² = 9977 mA²Root of sum = RMS value: I = 100 mA

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Sum of squares: I² = 9993 mA²Root of sum = RMS value: I = 100 mA

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itot

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Sum of squares: I² = 9997 mA²Root of sum = RMS value: I = 100 mA

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itot i1

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Cont. 9 th harmonic: I = 1 mA I² = 2 mA²Sum of squares: I² = 9998 mA²Root of sum = RMS value: I = 100 mA

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itot i1

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Cont. 9 th harmonic: I = 1 mA I² = 2 mA²Cont. 11 th harmonic: I = -1 mA I² = 1 mA²Sum of squares: I² = 9999 mA²Root of sum = RMS value: I = 100 mA

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itot i1

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Cont. 9 th harmonic: I = 1 mA I² = 2 mA²Cont. 11 th harmonic: I = -1 mA I² = 1 mA²Cont. 13 th harmonic: I = 1 mA I² = 0 mA²Sum of squares: I² = 9999 mA²Root of sum = RMS value: I = 100 mA

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itot i1

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Cont. 9 th harmonic: I = 1 mA I² = 2 mA²Cont. 11 th harmonic: I = -1 mA I² = 1 mA²Cont. 13 th harmonic: I = 1 mA I² = 0 mA²Cont. 15 th harmonic: I = 0 mA I² = 0 mA²Sum of squares: I² = 10000 mA²Root of sum = RMS value: I = 100 mA

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itot i1

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Synthesis of a triangular current profile 100mAContent fundamental: I = 99 mA I² = 9855 mA²Cont. 3 rd harmonic: I = -11 mA I² = 122 mA²Cont. 5 th harmonic: I = 4 mA I² = 16 mA²Cont. 7 th harmonic: I = -2 mA I² = 4 mA²Cont. 9 th harmonic: I = 1 mA I² = 2 mA²Cont. 11 th harmonic: I = -1 mA I² = 1 mA²Cont. 13 th harmonic: I = 1 mA I² = 0 mA²Cont. 15 th harmonic: I = 0 mA I² = 0 mA²Cont. 17 th harmonic: I = 0 mA I² = 0 mA²Sum of squares: I² = 10000 mA²Root of sum = RMS value: I = 100 mA

Page 14: Harmonics

... whose frequencies, called harmonics, are integer multiples of the fundamental frequency.

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Sum of squares: I² = 8106 mA²Root of sum = RMS value: I = 90 mA

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Sum of squares: I² = 9006 mA²Root of sum = RMS value: I = 95 mA

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Sum of squares: I² = 9331 mA²Root of sum = RMS value: I = 97 mA

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itot

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Sum of squares: I² = 9496 mA²Root of sum = RMS value: I = 97 mA

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itot i1

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Cont. 9 th harmonic: I = 10 mA I² = 100 mA²Sum of squares: I² = 9596 mA²Root of sum = RMS value: I = 98 mA

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itot i1

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i11

Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Cont. 9 th harmonic: I = 10 mA I² = 100 mA²Cont. 11 th harmonic: I = 8 mA I² = 67 mA²Sum of squares: I² = 9663 mA²Root of sum = RMS value: I = 98 mA

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itot i1

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Cont. 9 th harmonic: I = 10 mA I² = 100 mA²Cont. 11 th harmonic: I = 8 mA I² = 67 mA²Cont. 13 th harmonic: I = 7 mA I² = 48 mA²Sum of squares: I² = 9711 mA²Root of sum = RMS value: I = 99 mA

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itot i1

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Cont. 9 th harmonic: I = 10 mA I² = 100 mA²Cont. 11 th harmonic: I = 8 mA I² = 67 mA²Cont. 13 th harmonic: I = 7 mA I² = 48 mA²Cont. 15 th harmonic: I = 6 mA I² = 36 mA²Sum of squares: I² = 9747 mA²Root of sum = RMS value: I = 99 mA

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Synthesis of a rectangular current profile 100mAContent fundamental: I = 90 mA I² = 8106 mA²Cont. 3 rd harmonic: I = 30 mA I² = 901 mA²Cont. 5 th harmonic: I = 18 mA I² = 324 mA²Cont. 7 th harmonic: I = 13 mA I² = 165 mA²Cont. 9 th harmonic: I = 10 mA I² = 100 mA²Cont. 11 th harmonic: I = 8 mA I² = 67 mA²Cont. 13 th harmonic: I = 7 mA I² = 48 mA²Cont. 15 th harmonic: I = 6 mA I² = 36 mA²Cont. 17 th harmonic: I = 5 mA I² = 28 mA²Sum of squares: I² = 9775 mA²Root of sum = RMS value: I = 99 mA

Page 15: Harmonics

Even far better simulations are available free of charge at:

www.powerstandards.com/McEachern

Page 16: Harmonics

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Applying the Fourier analysis to a real PC

current does not work directly ...

... but it can be modelled by a similar triangular curve in which not all of the higher harmonics have been included

Triangular current profile of the same amplitude and a

pulse duty cycle of 1:7

Input current of a PC with monitor

Page 17: Harmonics

Analysis of the model triangular waveform

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itot(t) L1 [A] i1(t) L1 [A]

i3(t) L1 [A] i5(t) L1 [A]

i7(t) L1 [A] i9(t) L1 [A]

i11(t) L1 [A] i13(t) L1 [A]

i15(t) L1 [A] i17(t) L1 [A]

Page 18: Harmonics

M3

Harmonics

Energy

(active

power)

L1

L2

L3

N

PE

Important:Harmonics are created within the loads themselves and can flow “upstream” to contaminate the power system!

Page 19: Harmonics

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Squared values Without

Fundamental: 502 mA 251986 mA² the fundamental3rd harmonic: -479 mA 229000 mA² 229000 mA²5th harmonic : 434 mA 188595 mA² 188595 mA²7th harmonic : -374 mA 139903 mA² 139903 mA²9th harmonic : 304 mA 92527 mA² 92527 mA²11th harmonic : -232 mA 53671 mA² 53671 mA²13th harmonic : 163 mA 26600 mA² 26600 mA²15th harmonic : -104 mA 10780 mA² 10780 mA²17th harmonic : 57 mA 3299 mA² 3299 mA²Sum of the squares: 996362 mA² 744377 mA²Root thereof: 998 mAeff THD = 863 mA

What actually is THD?Example shown here: triangular current profile with an r.m.s. current of 1000 mA and a pulse duty cycle of 1:7

THDr (root mean square) = 863mA/1000mA = 86 %THDf (fundamental) = 863mA/502mA = 172 %

Page 20: Harmonics

Effect on phase-to-neutraland phase-to-phase voltages

Recorded on June 30, 2002,2:30 p. m.

What was the matter then?

The soccer final: Germany vs. Brazil!

Page 21: Harmonics

The triple-N harmonics drive a circulating current in

the delta winding of a distribution transformer ...

... but thevoltage harmonics propagate into the next low-voltage power distribution system!

Page 22: Harmonics

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Fre

itag,

23.8

.02

0:00

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stag

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.8.0

2 0:

00

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ntag

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.8.0

2 0:

00

Mon

tag,

26.8

.02

0:00

Die

nsta

g,27

.8.0

2 0:

00

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woc

h,28

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ners

tag,

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itag,

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.02

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TH

DU

U(RMS)THDr

Harmonics in the course of a week

Page 23: Harmonics

Harmonics on Saturday

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TH

DU

U(RMS)

THDr

Page 24: Harmonics

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U

U2 100Hz U3 150Hz

U5 250Hz U7 350Hz

U9 450Hz U11 550Hz

U13 650Hz U15 750Hz

Harmonics on Sunday

Page 25: Harmonics

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0A10A20A30A40A50A60A70A80A90A100A110A120A130A140A150A

i

Switching on just as supply voltage passes through zero

0V

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0 10 20 30 40 50

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0A10A20A30A40A50A60A70A80A90A100A110A120A130A140A150A

i

Switching on just as supply voltage is at its peak

2. Huge inrush current peaks– in theory ...

Page 26: Harmonics

... and in practice

Inrush current of a compact energy-saver lamp and its effect on the system voltage (recorded at the Technical University of Budapest)

Page 27: Harmonics

3. Measured parameters are instrument dependentThe root mean square value of an alternating or pulsating current is the value that a smooth (pure) direct current would have to have in order to cause the same heating effect in a fixed resistive load.

Analogue measurement systems: No significant difference in price between average-reading and rms-reading a.c. meters – but no longer in common use.Digital meter:Much more expensive if true rms value is really displayed!

Moving-iron meter:Displays rms value of current.

Moving-coil meter:Displays average magnitude of current if used in conjunction with a bridge rectifier.

Page 28: Harmonics

4. Increased conductor loadingin theory – (e. g. from older style electronic ballasts):

Line current – average magnitude 179 mALine current – rms value 615 mALine current – peak value 2712 mAApparent power 141 VAD.c. power 58 WLine current – form factor 3.436Line current – crest factor 4.410

Comparison with values for a sinusoidal current:Form factor 1.1107Crest factor 1.4142

Page 29: Harmonics

...and in practice– e. g. power supplyfor a laptop PC

Now let us compare an RMS to a True RMS meter:

Page 30: Harmonics

blindblind

All currents are equal ...

î =1A

R=1

ûR=R*î=1V

pR= ûR*î= ûR²/R=1W

q=2*10ms*1A=20mAs

WR=20ms*1W=20mWs

UR=1V, I=1A

î =2A

R=1

ûR=R*î=2V

pR= ûR*î= ûR²/R=4W

q=2*5ms*2A=20mAs

WR=2*5ms*4W=40mJ

UR=1.414V, I=1.414A

...but RMS currents are less equal than others!

Page 31: Harmonics

... enables us to infer what happens when run by a normal three-phase supply

The same fluorescent lamp with a magnetic ballast:

The behaviour measured when connected to

a d.c. supply ...

Behaviour of a 58 W fluorescent lamp connected to a d.c. supply

0

20

40

60

80

100

120

140

160

180

200

0 200 400 600 800 1000 1200

i / mA

u /

V

Measurement

Behaviour of a 58 W fluorescent lamp connected to a d.c. supply

0

20

40

60

80

100

120

140

160

180

200

0 200 400 600 800 1000 1200

i / mA

u /

V

MeasurementCalculation

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

0 5 10 15 20

t / ms

u /

V

-1,0

-0,8

-0,6

-0,4

-0,2

0,0

0,2

0,4

0,6

0,8

1,0

i /

A

Systems voltage

Current

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

0 5 10 15 20

t / ms

u /

V

-1,0

-0,8

-0,6

-0,4

-0,2

0,0

0,2

0,4

0,6

0,8

1,0

i /

A

Systems voltage

Lamp voltage

Current

Page 32: Harmonics

Warning: “Compensation” is not always what you think it is!Distinguish between:

Reactive power compensationa.k.a. power factor correction

Remedial measure:

Parallel (or sometimes series) compensation using capacitors

Filter circuits tuned to the individual harmonic frequencies

Harmoniccompensation

Page 33: Harmonics

5. (Over)loading the neutral conductorMagnetic ballast: Old-style electronic ballast:

-2,5A

-2,0A

-1,5A

-1,0A

-0,5A

0,0A

0,5A

1,0A

1,5A

2,0A

2,5A

0 5 10 15 20

t / ms i

i(t) N

-2,5A

-2,0A

-1,5A

-1,0A

-0,5A

0,0A

0,5A

1,0A

1,5A

2,0A

2,5A

0 5 10 15 20

t / ms

i

i(t) N

-2,5A

-2,0A

-1,5A

-1,0A

-0,5A

0,0A

0,5A

1,0A

1,5A

2,0A

2,5A

0 5 10 15 20

t / ms

i

i(t) L1 i(t) L2 i(t) L3

-2,5A

-2,0A

-1,5A

-1,0A

-0,5A

0,0A

0,5A

1,0A

1,5A

2,0A

2,5A

0 5 10 15 20

t / ms

i

i(t) L1

i(t) L2

i(t) L3

Page 34: Harmonics

Adding the 3rd harmonics

in the neutral wire

-150-100-50

050

100150

0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°

L1

-150-100-50

050

100150

0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°

L2

-150-100-50

050

100150

0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°

L3

-450-400-350-300-250-200-150-100-50

050

100150200250300350400450

0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°

f

i/î /

%

N

Physics dictates that at any moment in time the phase and neutral currents must sum to zero

Page 35: Harmonics

Effect on a three-phase a.c. motor appears almost identical:

The same motor is being driven ...

... simultaneously in these three modes!

homopolar system,zero-sequence system

direct system,positive-sequence system

inverse system,negative-sequence system

Page 36: Harmonics

The transformerinfluences the load...

Page 37: Harmonics

... but the load also effects the transformer!

Total transformer loss is:2

)()(

nomnomCunomFeLoss I

IPPP

While total transformer loss really is:

2

)(

2

)(

2

)( *

nomnomnomad

nomnomCu

nomnomFeLoss I

I

f

fP

I

IP

U

UPP

Page 38: Harmonics

6. “supplementary” additional losses in transformers

can be calculated rapidly using the following two simple formulae:

5,0

2

2

1

2

11

Nn

n

nqh

I

In

I

I

e

eK

5,0

1

2

11

5,0

1

2

Nn

n

nNn

nn I

IIII

where

Oh well,perhaps a practical example is clearer:

1000 compact 11W (15VA) energy-saver lamps powered by a 15kVA transformer, uSC=4%, Pa=0.1PCu

Harmonics of an Osram Dulux 11W CFL and a serial impedance of

R =29.1Ω & X L=113ΩU U ² I L I L² P a/P Cu

n V V² mA mA²

1 230.2 52992.0 48.5 2352.3 5.6%3 8.3 68.9 37.1 1376.4 29.5%5 10.7 114.5 20.3 412.1 24.5%7 4.3 18.5 5.3 28.1 3.3%9 1.1 1.2 3.0 9.0 1.7%

11 2.3 5.3 3.8 14.4 4.2%13 1.0 1.0 1.5 2.3 0.9%15 0.6 0.4 1.5 2.3 1.2%17 1.1 1.2 1.5 2.3 1.5%19 0.5 0.3 0.9 0.8 0.7%21 0.5 0.3 1.3 1.7 1.8%23 0.6 0.4 0.8 0.6 0.8%25 0.4 0.2 0.6 0.4 0.5%27 0.6 0.4 0.8 0.6 1.1%29 0.4 0.2 0.5 0.3 0.5%31 0.3 0.1 0.5 0.3 0.6%33 0.3 0.1 0.5 0.3 0.6%35 0.3 0.1 0.4 0.2 0.5%37 0.3 0.1 0.4 0.2 0.5%39 0.3 0.1 0.3 0.1 0.3%41 0.1 0.0 0.3 0.1 0.4%43 0.2 0.0 0.2 0.0 0.2%45 0.1 0.0 0.2 0.0 0.2%47 0.1 0.0 0.2 0.0 0.2%49 0.1 0.0 0.1 0.0 0.1%51 0.1 0.0 0.1 0.0 0.1%

P a/P Cu = 81.4%81.4%

etc.

etc.

Page 39: Harmonics

Harmonics measurement on an Osram Dulux 11W compact

fluorescent lamp

Harmonics of an Osram Dulux 11W CFL and a serial impedance of

R =29.1Ω & X L=113ΩU U ² I L I L² P add/P Cu

n V V² mA mA²

1 232.7 54149.3 48.9 2391.2 3.7%3 0.6 0.4 39.1 1528.8 21.5%5 4.4 19.4 26.4 697.0 27.3%7 2.3 5.3 20.0 400.0 30.7%9 0.1 0.0 19.2 368.6 46.7%

11 0.1 0.0 16.6 275.6 52.2%13 0.1 0.0 12.7 161.3 42.7%15 0.1 0.0 11.0 121.0 42.6%17 0.1 0.0 10.2 104.0 47.1%19 0.1 0.0 8.7 75.7 42.8%21 0.1 0.0 7.7 59.3 40.9%23 0.1 0.0 7.3 53.3 44.1%25 0.1 0.0 6.1 37.2 36.4%27 0.1 0.0 4.9 24.0 27.4%29 0.1 0.0 4.2 17.6 23.2%31 0.1 0.0 3.6 13.0 19.5%33 0.1 0.0 3.0 9.0 15.3%35 0.1 0.0 3.3 10.9 20.9%37 0.1 0.0 3.1 9.6 20.6%39 0.1 0.0 2.5 6.3 14.9%41 0.1 0.0 2.5 6.3 16.4%43 0.1 0.0 2.5 6.3 18.1%45 0.1 0.0 1.9 3.6 11.4%47 0.1 0.0 1.8 3.2 11.2%49 0.1 0.0 1.9 3.6 13.6%51 0.1 0.0 1.6 2.6 10.4%

P a/P Cu = 701.7%

To some extent the transformer protects itself...

Always remember to consider it!

If the influence of the transformer upon the load did not exist, then the influence of the load upon the transformer would be nearly 9 times as high!

701.7%

etc.

etc.

Page 40: Harmonics

For this, too, a tool is provided:

K Factor Calculator by

www.cda.org.uk

www.cda.org.uk/frontend/pubs.htm#ELECTRICAL/ENERGY%20EFFICIENCY

Page 41: Harmonics

Rule of thumb: Select transformers 35% larger than specification by apparent power would require!

This suffices to err on the safe side even in the worst case ... and can hardly ever be wrong, since maximum efficiency always lies between 25% and 50% of rated load.

Efficiency of a 1 MVA transformer plotted against loading

98,5%

98,6%

98,7%

98,8%

98,9%

99,0%

99,1%

99,2%

99,3%

99,4%

0% 25% 50% 75% 100% 125%

Relative load h

Design with max. Cu loss and min. Fe lossDesign with min. Cu loss and max. Fe loss1 MVA oil transformer according to HD 428

Page 42: Harmonics

Generator:uSC≈15%...40%Extreme examplebicycle dynamo:uSC≈500%!

The generator also impacts the load:

Transformer:uSC=4% / 6%

Page 43: Harmonics

Measured response of an 11 W fluorescent lamp operated with a magnetic ballast

Page 44: Harmonics

We are dealing with a complex problem

These effects are not isolated but are mutually inter-dependent.

Effects 2, 3 and 5 can be demonstrated on DKI’s display panel

Page 45: Harmonics

A conventional, approximately resistive-inductive load

mA

NL1 L2 L3

Two conventional, approximately resistive-inductive loadsThree conventional, approximately resistive-inductive loads

Page 46: Harmonics

A modern electronic load

mA

N

Two modern electronic loadsThree modern electronic loads

L1 L2 L3

Page 47: Harmonics

Discoveries on a refurbished junction box

System voltage

(as trigger signal)

Current in the earthing

conductor between the

consumer unit

and the bonding

busbar

Page 48: Harmonics

The TN-C system, that was perfectly adequate some years ago, is unable to meet present-day requirements

-6

-4

-2

0

2

4

6

0 5 10 15 20

t / ms

i / A

-350-300-250-200-150-100-50

050

100150200250300350

0 5 10 15 20

t / ms

u /

V

Page 49: Harmonics

“THF”(third harmonic filter) made in

Finland

In certain situations, this affordable filter can be of help

German version “THX”

Page 50: Harmonics

10Ω

15Ω

20Ω

25Ω

30Ω

35Ω

40Ω

0Hz 50Hz 100Hz 150Hz 200Hz 250Hz 300Hz

f

Z

-90°-75°-60°-45°-30°-15°0°15°30°45°60°75°90°

φ

Reactorreactance

Capacitorreactance

Parallelimpedace

Phase angle

Data and frequency response of the filter

1320 µF

875 14 m µH

Page 51: Harmonics

The filter in use:

In a nursery running sodium vapour lamps (500 kW)In a typical office and administrative building

Page 52: Harmonics

The EMC Transformer from Switzerland:7. The effects of stray magnetic fieldsin TN-C systems“When we build transformers, the first thing we focus on is complying with our

customers’ requirements and only then on complying with standards. Why? Because it is customer needs and not standards that offer real scope for product innovation.”

Page 53: Harmonics

8.. In a TN-C system, problems arise from data streams and working currents mixing!

Others who have drawn attention to this source of data transmission errors include engineering ...

... and insurance companies, experts, consultants and many others besides

Page 54: Harmonics

9. Increased corrosive damageThis (once) galvanized steel strip – the earth electrode of This (once) galvanized steel strip – the earth electrode of

a TN-C-S system – was located close a TN-C-S system – was located close to the transformer stationto the transformer station

Side facing transformer

station

Side facing transformer

station

Side facing away from transformer

station

Side facing away from transformer

station

Page 55: Harmonics

WRONG!

RIGHT!

Working currents have no place in earthing systems and protective conductors

Page 56: Harmonics

10. Lightning currents

Page 57: Harmonics

Yet another skimpers’ network:The TT system...

Page 58: Harmonics

...easily turns into an explosive »TNT system!«

Storage room

Storage room

e. g. for tri nitro tolulene

Page 59: Harmonics

Some experts already claim for the »TN-S-S system«

Experience from a radio station:

N current 150 Hz:150 A PE current:32 AN current 450 Hz:14 A PE current:12 A

And this even in a clean TN-S systemwith a CEP!?

Page 60: Harmonics

Some experts already claim for the »TN-S-S system«

L1

L2

L3

Fi

N

FE

PE

Page 61: Harmonics

There is onlyone earthon earth

Don’t you believe it!

Protective earth

Operational earth

Functional earth

Power-system earth

IT earth

My earth

Your earth

Page 62: Harmonics

So what actually is a TN-S system?As shown here, this is in the best case a»TN-S system h. c.«!

But now it is an »academic« one.

Page 63: Harmonics

Which bridge to cross, which bridge to burn?

Sometimes you just don‘t believe what you see!

This one will soon look rather charred!

IEC 60364-5-54:543.4.3 If, from any point of the installation, the neutral and protective functions are provided by separate conductors, it is not permitted to connect the neutral conductor to any other earthed part of the installation.

Page 64: Harmonics

Well, then the rest is no longer a Well, then the rest is no longer a miracle!miracle!

Page 65: Harmonics
Page 66: Harmonics
Page 67: Harmonics

This has, at last, been addressed in EN 50174-2

Disturbingequipment

Sensitiveequipment

Disturbingequipment

Sensitiveequipment

Disturbingequipment

Sensitiveequipment

Not recommended

Transformer

Better Excellent

in the most recent edition from Sept. 2001

– the only problem is ... it’s wrong!

Page 68: Harmonics

Though they’d already got it right in version 2:2000!

Page 69: Harmonics

“The PEN conductor plays a dualrole in TN-C systems. Its primary role is as a protective conductor, its secondary function is that of a neutral or return wire.”

(Volker Schulze:“Vorgefertigte Klemmenblöcke für PEN-Leiter-Verlegung”[“Prefabricated terminal blocks for PEN conductor installation work”], in “de” 13/1999, p. 1050)

Well, we wouldn’t mind if a PEN con-ductor generally just looked like this...

Yesterday’s truths ...

Page 70: Harmonics

Cables appropriate for modern electrical

installation work are available

Still too much of this around:

Standard four-core for the miserly and the short-sighted

Contact International Cablemakers FederationGraben 30A-1014 WienPhone: + 43 1 532 9640Fax: +43 1 532 9769http://www.icf.at

Page 71: Harmonics

And has already integrated it into its Logo:4-core good, 5-core better!

One fabricator says it quite clearly right from the start:

Turn your brains on!

Page 72: Harmonics

Take a look at EN 50174 fromFeb 2000, subclause 6.4.3:

“…it shall be considered that a PEN conductor through which the unbalanced currents and the accumulating of harmonic currents and other disturbances are transmitted cannot provide an appropriate earthing. It shall also be considered that the TT and IT mains systems need more corrective measures in particular against over voltage; therefore:

there should be no PEN within the building, i.e. the respective option in 546.2.1 of HD 384.5.54 S1:1988 should not be used.

wherever possible, the TN-S system should be used.”

Page 73: Harmonics

Have a look at CENELEC Guide R064-004:1999-10, where it says:

For buildings which have, or are likely to have, sigificant information technology equip-ment installed, consideration shall be given to the use of separate protective conductors (PE) and neutral conductors (N) beyond the incoming supply point in order to minimize the possibility of electromagnetic problems due to the diversion of neutral current through signal cables causing damage or interference

Page 74: Harmonics

Or at EN 50160:

Under normal operating conditions rapid voltage changes usually remain below 5% of the rated voltage, but deviations of up to 10% may under certain circumstances occur several times a day.

Under normal operating conditions the number of voltage dips lies between some tens and several thousands per year.

They usually last less than 1 s and have a retained voltage of over 40%.

Short interruptions of up to 3 minutes occur some tens up to several hundred times a year. Up to 70% of these may last for less than 1 s.

Unbalance: 95% of all 10-minute mean values must have an inverse system of less than 2% the direct system. But where there are many singe- and two-phase loads in operation, it may as well give rise up to 3%.

Switching transients usually do not exceed 1.5 kV, other transients commonly stay below 6 kV. In individual cases, however, they may be higher than that.

The voltage magnitude on the low voltage level is 230 V ±10%,measured between phase and neutral conductor in 4-conductor systemsand between phase conductors in 3-conductor systems.

5-conductor systems obviously do not exist!

Page 75: Harmonics

Or at EN 50160:

The frequency should be between 49.5 Hz and 50.5 Hz for at least 99.5% of a given year.

Island networks not running synchronous to the UCTE mains are exempted.

So this already starts with the British isles, doesn‘t it?

Page 76: Harmonics

Or at EN 50160:

Indeed...

...But let us have a look at a »real« island – here it comes:

Page 77: Harmonics

Observations on Malta: Frequencies between 49.80 Hz and 50.13 Hz

While all of this discussion (and the measurement) apparently proves to be a waste, since:

Or at EN 50160:

These limits refer to normal operating conditions only, not to fault conditions.

So does the responsibility for supply drop out when power supply drops out?

Page 78: Harmonics

Hopefully we will never ever get a supply according to EN 50160!

May be you better have a look at VDE 0100 section 100 of August 2002 first of all:

“The features given in DIN EN 50160:2000-03 represent extreme situations but do not describe the usual situation in the mains. For planning electrical installations with a normal usage it is sufficient to consider the most likely situation in the mains at the point of common coupling.”

Page 79: Harmonics

Or how aboutIEC 60364-4-44 from 2001:

“For buildings which have, or are likely to have, significant information technology equipment installed, consideration shall be given to the use of separate protective conductors (PE) and neutral conductors (N) beyond the incoming supply point, in order to minimize the possibility of electromagnetic problems due to the diversion of neutral current through signal cables causing damage or interference.”

Fortunately, the 2002 edition now emphasises doing something rather than just thinking about doing it.

Unfortunately, the word “shall” has been replaced with “should”.

Page 80: Harmonics

The recent amendment to EN 50310, section 6.3from Sept. 2000 appears to have got exactly the right approach at last:

“The AC distribution system inside a building shall conform to the requirements of the TN-S system. This requires that there shall be no PEN conductor inside the building, i.e. the option in 546.2.1 of HD 384.5.54 S1:1980 shall not be used.”

Page 81: Harmonics

So why all the fuss about interference suppression? After all, the EN 61000-3-2 standard has been in force since 1 Jan. 2001 – so interference is a thing of the past!Right ...?

Class B: Portable power tools

Class A: Balanced three-phase equipment and all other equipment not classified below

Class C: Lighting equipment including lighting controls (except dimmers up to 1000 W)

Class D: Personal computers, PC monitors and televisions with an input power range from 75 to 600 W.

We now have limits on harmonic emissions for ...

Page 82: Harmonics

The tolerances that the mains voltage has to meet are very tight:

2.0% max. permissible deviation from rated value,

0.9% max. permissible content of 3rd harmonic,

0.4% max. permissible content of 5th harmonic,

0.3% max. permissible content of 7th harmonic,

0.2% max. permissible content of 9th harmonic,

0.2% max. permissible content of even-order harmonics

0.1% max. content of harmonics of the orders 11 to 40during testing!

It’s important that these tolerances are so tight because the effect of voltage distortions is huge ...

Page 83: Harmonics

And what exactly are the specified limits?

e.g. for Class D equipment

“For the 3rd harmonic, a Class D unit must draw no more than 3.4 mA per watt of input power.”

And how do we ensure compliance ...

No problem ...

But ... are we talking about the rated or measured input power ?

And what about the power system parameters (e.g. resistance, reactance, voltage profile) ?

... in the case of, say, a conventional PC ?

Page 84: Harmonics

Emission limit (3rd harm.): 116 W x 3.4 mA/W =395 mA

Measured emission (3rd harmonic): 411 mA

Solution 1: Specify rated power 4 % above the measured value

Solution 2: Consider each device separately(PC: 40 W, Monitor: 60 W, Peripherals: 16 W)

Solution 3: Add an ohmic resistance in series

Difference to be “measured away”: 16 mA

Class D: Personal computers, PC monitors and tele-visions with an input power range from 75 W to 600 W

Page 85: Harmonics

Solution 4:

The perfect PCfor all editorial staff...

Jack the power up to over 600 W by connecting a large resistive load in parallel.

Class D:Personal computers, PC monitors and televisions with an input power rangefrom 75 W to 600 W

Page 86: Harmonics

Another means of deforming the current profile:

The phase-control dimmer

L1-N L2-N L3-N

φ 0° 0° 0°

u AV 207,1 207,1 207,1 V

U Eff 230,6 230,6 230,6 V

L1 L2 L3 N

i AV 0,235 0,235 0,235 0,000 A

IEff 0,261 0,261 0,261 0,000 A

IEff / i AV 1,114 1,114 1,114 ---

î / i Eff 1,410 1,410 1,410 --- -0,4A

-0,3A

-0,2A

-0,1A

0,0A

0,1A

0,2A

0,3A

0,4A

0 5 10 15 20

t / ms i

-350V

-250V

-150V

-50V

50V

150V

250V

350V

0 5 10 15 20

t / ms

U

L1-N L2-N L3-N

φ 60° 60° 60°

u AV 153,7 153,7 153,7 V

U Eff 205,8 205,8 205,8 V

L1 L2 L3 N

i AV 0,174 0,174 0,174 0,181 A

IEff 0,233 0,233 0,233 0,204 A

IEff / i AV 1,339 1,339 1,339 1,128

î / i Eff 1,581 1,581 1,581 1,562 -0,4A

-0,3A

-0,2A

-0,1A

0,0A

0,1A

0,2A

0,3A

0,4A

0 5 10 15 20

t / ms i

-350V

-250V

-150V

-50V

50V

150V

250V

350V

0 5 10 15 20

t / ms

U

L1-N L2-N L3-N

φ 45° 90° 135°

u AV 176,7 101,7 30,3 V

U Eff 219,9 161,3 69,5 V

L1 L2 L3 N

i AV 0,200 0,115 0,034 0,155 A

IEff 0,249 0,183 0,079 0,188 A

IEff / i AV 1,244 1,585 2,293 1,213

î / i Eff 1,479 2,016 3,251 1,702 -0,4A

-0,3A

-0,2A

-0,1A

0,0A

0,1A

0,2A

0,3A

0,4A

0 5 10 15 20

t / ms i

-350V

-250V

-150V

-50V

50V

150V

250V

350V

0 5 10 15 20

t / ms

U

Page 87: Harmonics

No-load currents in transformers:a further – though overrated – source of current distortion

No-load current in a 630 kVA distribution transformer, excitated from the 420 V LV side!

Page 88: Harmonics

Another means of (over)loading the neutral conductor:d.c. currents ...

Original “Fake”

Page 89: Harmonics

... and their effects

U = 228.5 VI = 9.2 mAP = 1.82 WS = 2.09 VAQ = 1.03 VArLF = 0.87cos φ = 0.99

U = 224.3 VI = 1.26 AP = 38.0 WS = 286.0 VAQ = 283.0 VAr

No-load current in atoroidal-coretransformer

200 VA

-350-300-250-200-150-100

-500

50100150200250300350

0 10 20 30 40

t / ms

u /

V

-12-10-8-6-4-2024681012

i /

mA

VoltageCurrent

No-load current in a toroidal-coretransformer 200 VA when

running a 1500 Whairdryer athalf-powerin parallel

-350-300-250-200-150-100

-500

50100150200250300350

0 5 10 15 20 25 30 35 40

t / ms

u /

V

-6-5-4-3-2-10123456

i /

A

VoltageCurrent

Page 90: Harmonics

The later models don‘t do it any more

The EN 61000-3-2 has at least managedto put an end to this approach.

Domestic appliances: Max. 1.05 A of 2nd harmonic

Page 91: Harmonics

An electrical engineering wonder:d.c. current generates a.c. voltage

Page 92: Harmonics

Spicing things up with a pinch of HF: electronic halogen lamp transformers

Page 93: Harmonics

Decorative HF reactors

Page 94: Harmonics

Using simplematerials to ...

... model the electrical installation in a building

Page 95: Harmonics
Page 96: Harmonics

A power system that doesn’t get dirty doesn’t need to be cleaned:

0

50

100

150

200

250

300

350

400

450

500

20 30 40 50 60 70 80 90 100 110 120

f / Hz

Z /

-90°

-60°

-30°

30°

60°

90°

φ

XL

XC

ZS

Page 97: Harmonics

Current and power loss as a function of voltage

0,0

0,2

0,4

0,6

0,8

1,0

1,2

1,4

1,6

1,8

0 40 80 120 160 200 240

U / V

I /

A

0

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PV

/ W

I [A]Pv [W]

Power loss, capacitor voltageand total voltage as a function of current

0

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0,00 0,25 0,50 0,75 1,00 1,25 1,50

I / A

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Utot [V] Eff

UR [V] Eff

Pv [W]

The passive harmonic filter

made of readily available

components ...

... is both reliable ...

Page 98: Harmonics

... and effective

before

after

Page 99: Harmonics

Half the solution has already been implemented:

Page 100: Harmonics

Professor Manfred Fender Wiesbaden University of Applied Sciences:

We should use more two- and three-phase rectifier loads!

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L1

L2

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Page 101: Harmonics

We should use transformers with different vector groups!

usc for zero-seq. system:

60% of rated value

usc for zero-seq. system:

5...10% of rated value

Page 102: Harmonics

And if that’s not enough ...

Passive filter circuits will do it

Page 103: Harmonics

So what do we need to do?In low-voltage power distribution systems: Do not use cables in which the neutral or protective earth conductor

has a reduced cross-section. Use only 5-core cable. Do not install TN-C- or TN-C-S systems. Be generous when dimensioning conductor cross-sections. This helps

to reduce line voltage drops and thus reduces the effect of current distortions on the voltage, as well as lowering energy losses (see VDE 0298 Part 100). Generously dimensioned conductors will have no problem coping with any future increase in demand.

Only use measuring instruments that display the true root mean square value (TRMS meters).

In medium-voltage power distribution systems: Use a varied mix of distribution transformers with different vector

groups.

Page 104: Harmonics

the European Union has been providing a total of three million euros over a three year period to enable experts from across Europe to co-operate in the development of the definitive internet site covering all aspects of power quality!

To follow the latest developments visit

www.lpqi.org

and take a look at the growing body of information that has been made available by the Leonardo Power Quality Initiative.

Our aim is to develop and disseminate teaching materials in 13 languages dealing with the detection, mitigation and management of EMC problems.

Target groups include electrical technicians, engineers, those in the skilled trades, building system engineers, architects, planners as well as apprentice technicians and students and their teachers.

At present the Power Quality Initiative has 106 members from commercial companies, institutions, universities and trade associations.

We openly encourage other industrial and academic partners to participate in this project and welcome contributions at any time.

Just log on!

www.lpqi.org

As part of its LEONARDO programme

3 Projects out of ≈ 4000 awarded – one of them being: