Zaytoonah University International Engineering Conference on Design and Innovation in Infrastructure 2012
(ZEC Infrastructure 2012), Jun 18-20, 2012 Amman, Jordan
Paper Code No. I6
Study of Load Side Harmonics Sources Effects and Elimination
Salah Eldeen Gasim Mohamed, Abdelaziz Yousif Mohamed
salagasim@yahoo.com
Abdelaziz.abbas@yahoo.com
Sudan University of Science and Technology, School of Electrical and Nuclear Engineering
Abstract
The power quality problems in power utility distribution systems are not new, but recently
their effects have gained public awareness. Advances in semiconductor device technology have
fuelled a revolution in electronics and power electronics over the past decade, many factories
and heavy loads which are recently installed highly affect power quality due to their nonsinusoidal current. In this paper different harmonics sources such as electric ballast, magnetic
ballast, vapor mercury, halogen spot light and halogen with dimmer and their effects and two
methods of harmonics elimination are studied. The results obtained show that at incidence of
harmonics the currents waveform are not sinusoidal, THD values are out of limits, there is a set
of high order harmonics, the current values are higher and power factor is lower. However, the
results obtained when the harmonics are eliminated show that THD values are reduced, the
currents values are reduced, the power factor is improved and values of current harmonics
orders are reduced.
1. Introduction
The objective of the electric utility is to deliver sinusoidal voltage at fairly constant magnitude
throughout their system. This objective is complicated by the fact that there are loads on the
system that produce harmonic currents. These currents result in distorted voltages and currents
that can adversely impact the system performance in different ways. As the number of harmonic
producing loads has increased over the years, it has become increasingly necessary to address
their influence when creating any additions or changes to an Installation.
Power electronics equipments are responsible for raising the power quality problems. These
nonlinear loads appear to be prime sources of harmonic distortion in a power distribution system.
Harmonic currents produced by nonlinear loads are injected back into power distribution systems
through the point of common coupling (PCC). As the harmonic currents pass through the line
impedance of the system, harmonic voltages appear, causing voltage distortion at the PCC [1],
[2], [3].
Harmonics have a number of undesirable effects on the distribution system. They affect both
technically and economically. They increase resistive losses and eddy current and hysteresis
losses. Also, harmonics worsen the load power factor. In addition, the harmonic currents
produced by nonlinear loads can interact adversely with a wide range of power system
equipment, most notably capacitors, transformers and motors causing additional losses,
overheating and overloading [4]. Presence of harmonics requires increasing the conductors’ size
and circuit breaker capacity. Presence of harmonics in power system limits the system capacity.
2. Linear and Non-linear Loads
A linear element in power systems is a component that draws a current waveform which is
same as the voltage as shown in Figure (1-a). On the other hand, the current waveform on a nonlinear load is not the same as the voltage as shown in Figure (1-b). Typical examples of nonlinear loads include rectifiers, uninterruptable power supply (UPS) units, discharge lighting,
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Paper Code No. I6
adjustable speed motor drives, electric ballast, vapor mercury, halogen spot light, halogen with
dimmer and arcing equipment.
The current drawn by non-linear loads is not sinusoidal but is periodic. Periodic waveforms
can be described mathematically as a series of sinusoidal components that have been summed
together as shown in Figure (1-c). The sinusoidal components are integer multiples of the
fundamental (50 or 60 Hz). The only way to measure a voltage or current that contains
harmonics is to use a true-RMS reading meter.
(a)
(b)
(c)
Figure (1) Waveforms of linear, nonlinear and the symmetrical harmonic components
Symmetrical waves contain only odd harmonics and un-symmetrical waves contain even and
odd harmonics. A symmetrical wave is one in which the positive portion of the wave is identical
to the negative portion. An un-symmetrical wave contains a DC component or the load is such
that the positive portion of the wave is different than the negative portion. An example of unsymmetrical wave would be a half wave rectifier.
Most power system elements are symmetrical. They produce only odd harmonics. There are
exceptions, and normally-symmetrical devices may produce even harmonics due to component
mismatches or failures. Arc furnaces are another common source of even harmonics but they are
notorious for producing both even and odd harmonics at different stages of the process.
3. Harmonics Measurement Indices
They give full idea about the level of harmonics in the power system, comparing values of
these indices with the standards [5], the state of the system can be determined. The Total
Harmonic Distortion (THD) is the Total Harmonic Distortion of Voltage (
and current
which are given by (1) and (2). In case of pure sinusoidal waves
= 0.
(1)
Where:
Is the rms value of voltage with the fundamental frequency.
Is the rms value of voltage with the harmonic frequency.
(2)
Where:
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(ZEC Infrastructure 2012), Jun 18-20, 2012 Amman, Jordan
Paper Code No. I6
Is the rms value of current with the fundamental frequency.
Is the rms value of current with the harmonic frequency.
The distortion power (D) produced by load nonlinearity, It is given by (3), in case of being
free of harmonics D = 0.
(3)
Where:
Is the apparent power (kVA).
Is the active power (kW).
Is the reactive power (KVAR).
The Distortion Factor (DF) is the ratio of distortion power D to the apparent power S, the
distortion factor is given by (4), in case of being free of harmonics DF = 0.
DF =
D
S
(4)
The Power Factor Ratio (PFR) is the ratio of the fundamental power factor (DPF) and the total
power factor (TPF), both fundamental and total power factors are given below, in case of being
free of harmonics PFR = 1.0.
PFR =
DPF
TPF
Where
and
(5)
The Crest Factor (CF) is the ratio between the maximum value of the voltage
) or
current ) to the RMS value of the voltage
) or current
). In case of being free of
harmonics CF
(6)
(7)
4. Load Side Sources of Harmonics
Many types of non-linear loads appeared and their usage rate increased rapidly. Non-linear
loads such as rectifiers, power supplies, UPS units, TV’s, Video recorders, Computers, Printers,
Micro wave ovens, discharge lighting, adjustable speed motor drives, electric ballast, vapor
mercury, halogen spot light, halogen with dimmer and arcing equipment became widely used
these days besides the rapid increase of the industrial non-linear loads such as that in metal
factories. In this paper different types of non-linear loads are considered, different measurements
have been made, wave forms and spectrum of different harmonic orders have been shown for
each of the non-linear loads considered.
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Paper Code No. I6
The experimental works have been performed in the Advanced Power Systems and Control
Laboratory, Sudan University of Science and Technology. Different types of sources have been
studied, effects of harmonics have been investigated and two harmonics eliminations methods
have been applied. A power analyzer device has been used to obtain all required measurements.
4.1. Dimmer Controlled Halogen Lamp
Figure (2) shows a dimmer controlled Halogen lamp (150 W, 230 V) supplied by a sinusoidal
voltage source. The dimmer firing angle set to (
). Figures (3-a) and (3-b) show the
current waveform and the spectrum of harmonics. Table (1) shows values of the current, I, THDI,
CFI, DF, FPF, TPF and PFR.
Figure (2) a dimmer controlled Halogen lamp supplied by a sinusoidal voltage source
Figure (3-a), (3-b) current and voltage wave forms and current harmonics spectrum
Table (1) Values of the Readings
V(V)
I(A)
233.2
0.53
THDI CFI
64.2
2.0
P(W)
Q(VAR)
S(VA)
D(VAD)
DF
DPF
TPF
PFR
90
55.8
125.2
66.8
0.53
0.85
0.71
0.84
4.2 Vapor Mercury Lamp
Figure (4) shows a Vapor mercury lamp (80 W, 230 V) supplied by a sinusoidal voltage
source. Figures (5-a) and (5-b) show the current wave form and the spectrum of harmonics.
Table (1) shows values of the current, I, THDI, CFI, DF, FPF, TPF and PFR.
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Paper Code No. I6
Figure (4) a Vapor mercury lamp supplied by a sinusoidal voltage source
Figure (5-a), (5-b) current and voltage wave and currents harmonics spectrum
Table (2) Values of the Readings
V(V)
I(A)
228.8
0.79
THDI CFI
8.9
1.5
P(W)
Q(VAR)
S(VA)
D(VAD)
DF
DPF
TPF
PFR
91
172
196
23.5
0.12
0.47
0.46
0.98
4.3 Halogen Spot Light Lamp
Figure (6) shows a Halogen spot light lamp (50W, 12V) supplied by a sinusoidal voltage
source. Figures (7-a) and (7-b) show the current wave form and the spectrum of harmonics.
Table (3) shows values of the current, I, THDI, CFI, DF, FPF, TPF and PFR.
Figure (6) a Halogen spot light lamp supplied by a sinusoidal voltage source.
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Figure (7-a), (7-b) current and voltage wave forms and current harmonics spectrum
Table (3) Values of the Readings
V(V)
I(A)
THDI
CFI
P(W)
Q(VAR)
S(VA)
D(VAD)
DF
DPF
TPF
PFR
233.0
0.22
11.5
1.39
512
1.6 Cap.
515.6
60.8
0.12
1.0
0.99
0.99
4.4 Electric Ballast Lamp
Figure (8) shows an electric ballast lamp (23W, 230V) supplied by a sinusoidal voltage
source. Figures (9-a) and (9-b) show the current wave form and the spectrum of harmonics.
Table (4) shows values of the current, I, THDI, CFI, DF, FPF, TPF and PFR.
Figure (8) an Electric Ballast lamp supplied by a sinusoidal voltage source.
Figures (9-a), (9-b) current and voltage wave forms and current harmonics spectrum
Table (4) Values of the Readings
V(V)
I(A)
THDI
CFI
P(W)
Q(VAR)
S(VA)
D(VAD)
DF
DPF
TPF
PFR
231.1
0.16
93.3
2.9
255
112 Cap.
384
264.4
69%
0.92
0.66
0.72
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4.5 Magnetic Ballast Lamp
Figure (10) shows a magnetic ballast lamp (23W, 230V) supplied by a sinusoidal voltage
source. Figures (11-a) and (11-b) show the current wave form and the spectrum of harmonics.
Table (5) shows values of the current, I, THDI, CFI, DF, FPF, TPF and PFR.
Figure (10) a Magnetic Ballast lamp supplied by a sinusoidal voltage source.
Figure (11-a), (11-b) current and voltage wave forms and current harmonics spectrum
Table (5) Values of the Readings
V(V)
I(A)
THDI
CFI
P(W)
Q(VAR)
S(VA)
D(VAD)
DF
DPF
TPF
PFR
228.6
0.12
8.2
1.51
260
69 Cap.
271
32.9
12.1%
0.97
0.96
0.99
5. Effects of Load Side Harmonics
The existence of harmonics produces many problems in the power systems; it increases noise
of electric machines and highly affects its iron loss, besides increasing the current as given
by (8).
(8)
Where, In is the rms current value of the nth harmonic order.
Due to current increase the active power loss increases in generators, transmission lines,
transformers and load resistances. Harmonics frequencies increase the eddy current and
hysteresis loss, these lead to equipment heating and malfunctioning and fuse and circuit breaker
miss-operation.
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The existence of harmonics frequencies increases the absorption of reactive power due to
current increase and more clearly due to appearance of a new reactance
for each
harmonic’s frequency
as given by (9).
(9)
The existence of harmonics reduces the total power factor (TPF) due to the increasing of
reactive power absorption and distortion power. It also causes current flow in the neutral
conductor and power elements over-age, power system capacity reduction, power system overstress and maintenance and installations cost increase the thing makes it essential to eliminate the
harmonics level in the power systems.
In this paper, the effects of load side harmonics are illustrated by studying the operation of
a 0.5A circuit breaker in three load cases. In Figure (12) the first case represents a linear (150 W)
load by closing switches S1, S2 and S3, the second and third cases represent a single phase two
and three dimmer controlled halogen lamps respectively (150 W) each case, in the second case
switches S1, S2 and S4, are closed, while in the third case switches S1, S2, S4 and S5 are closed.
The firing angle is set to maintain the active power equal to 150 W in each of case two and three.
The time of circuit breaker tripping is examined in the three mentioned cases; the results are
illustrated in Table (6).
Figure (12) Dimmer controlled Halogen Lamps with selective switches and circuit breaker
Table (6) Circuit breaker tripping time for three different cases (150W)
I (A)
CB tripping time (s)
THDI
Case 1
Linear load
0.66
6000
2.7 equal to THDV
Case 2
Non-linear load
1.02
33
75.3
Case 3
Non-linear load
1.32
15
95.1
6. Elimination of Load Sides Harmonics
Harmonic distortion in power distribution systems can be suppressed using two approaches
namely, passive and active filters. The passive filtering is the simplest conventional solution to
mitigate the harmonic distortion [6]-[8]. Another approach is using (∆/Y) transformers. In this
paper, both of the last two methods have been used. The harmonics case considered for the
process of harmonics elimination is shown in Figure (13), it represents a dimmer controlled 3I6 - 8
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Paper Code No. I6
phase Halogen lamps (3X150 W, 230 V) supplied by a sinusoidal voltage source with two
choices of filtering (∆/Y Transformer and passive filter). To generate the harmonics, switches S1
and S3 have been closed and the dimmer firing angle set to (
). Figures (14-a) and (14-b)
show the current wave form and harmonics spectrum. The results for this case without filtering
are given in Tables (7) and (8).
Figure (13) a dimmer controlled 3Ф Halogen supplied by a sinusoidal voltage source with two
choices of filtering ((∆/Y) Transformer and passive filter).
Figures (14-a), (14-b) the current wave form and harmonics spectrum without filtering
Table (7) Values of the Readings without filtering
Phase V(v) I(A)
1
238 1.72
2
236 1.88
3
231 1.65
THDI CFI
63.0 1.97
65.5 1.99
65.4 2.00
P(W)
291.1
309.0
271.0
Q(VAR)
+ 181.8
+ 200.0
+ 175.0
S(VA)
406.7
441.1
386.0
D(VAD) DF
218
0.54
243
0.55
212
0.55
DPF
0.85
0.84
0.84
Table (8) Values of the current harmonics orders without filtering
Current Harmonics order
Neutral current = 2.54
Neutral temperature = 90oC
Ph1
Ph2
Ph3
3rd (A)
0.78
0.87
0.76
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5th (A)
0.26
0.30
0.26
7th (A)
0.26
0.29
0.26
9th (A)
0.15
0.17
0.15
TPF
0.72
0.70
0.70
PFR
0.85
0.83
0.83
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6.1. Elimination by Passive Filter
Closing switches S1, S3 and S4 in Figure (13), the 3-phase Halogen Lamps lit up having the
) with the passive filter inserted. To eliminate the third order current
firing angle set to (
harmonics, value of the inductance (L) is selected L = 92 mH and value of the capacitance (C) is
calculated using (11) and get C = 12.24 µF for each phase. Figures (15-a) and (15-b) show the
current wave form and the spectrum of harmonics. The results for this case with passive filter are
given in Tables (9) and (10).
(10)
Where:
: The frequency wanted to be filtered.
: The passive filter elements.
(11)
Figures (15-a), (15-b) the current wave form and the spectrum of harmonics with passive filter
Table (9) Values of the Readings with passive filter
Phase
1
2
3
V(v)
238
241
230
I(A)
1.72
1.86
1.66
THDI
25.0
23.8
23.9
CFI
1.67
1.65
1.62
P(W)
317.9
351.4
285.9
Q(VAR)
- 316.1
- 347.0
- 300.0
S(VA)
464.0
500.0
431.0
D(VAD)
119.7
78.2
118.4
DF
0.26
0.16
0.27
DPF
0.71
0.70
0.70
TPF
0.69
0.68
0.68
PFR
0.97
0.97
0.97
Table (10) Values of the current harmonics orders with passive filter
Current Harmonics order
Neutral current = 1.02
Neutral temperature = 42oC
Ph1
Ph2
Ph3
3rd (A)
0.33
0.36
0.24
5th (A)
0.17
0.17
0.18
7th (A)
0.18
0.20
0.18
9th (A)
0.10
0.11
0.10
6.2. Elimination by (∆/Y) Transformer
In Figure (13), closing switches S1,S2 and S5, the 3-phase Halogen Lamps being fed through
the ∆/Y Transformer with unity transformation lit up having the firing angle set to (
).
Figures (16-a) and (16-b) show the current waveform and the spectrum of harmonics. Figures
(24) and (25) show the current waveform and the spectrum of harmonics. The results for this
case with (∆/Y) Transformer are given in Tables (11) and (12).
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Figures (16-a) and (16-b) the current wave form and the harmonics spectrum with (∆/Y)
Transformer
Table (11) Values of the Measurements and Calculations with (∆/Y) Transformer
Phase V(v)
1
239
2
239
3
237
I(A)
1.72
1.86
1.66
THDI
27.1
28.1
28.0
CFI
1.73
1.75
1.75
P(W)
327
364
310
Q(VAR)
226
229
214
S(VA) D(VAD) DF DPF TPF
413
112.1
0.27 0.82 0.79
446
118.2
0.27 0.85 0.81
392
108.5
0.28 0.82 0.79
PFR
0.96
0.95
0.96
Table (12) Values of the current harmonics orders with (∆/Y) Transformer
Current Harmonics order
Ph1
Ph2
Ph3
3rd (A)
0.02
0.05
0.03
5th (A)
0.26
0.29
0.24
7th (A)
0.25
0.28
0.27
9th (A)
0.02
0.03
0.01
7. Results Discussion
The set of nonlinear-loads which is studied draw non-sinusoidal currents and produce odd
high order harmonics, current waveforms are distorted. The THDI values are out of the standard
limits and the contents of harmonics are high. The effects of harmonics have been studied; the
results tables’ show that harmonics reduce the power factor and produce distortion power. In
three phase non-linear loads neutral current increases and in single phase non-linear loads phase
and neutral current increases, this increases the voltage drop and resistive power loss besides
increasing of iron and reactive power losses. Current increase result in cable size increases and
circuit breakers cost.
The 3rd harmonics tuned passive filters reduced the 3rd harmonics current component to about
42% also reduced the 5th to 65%, 7th to 69% and 9th to 67%. The delta-star transformer highly
reduces the 3rd order harmonics and its multiples; it reduced the 3rd harmonics current component
to about 2.5% and 9th to 13.3%. The reduction of the 5th and 7th order harmonics is very low.
Table (13) shows a comparison of different load types using values of THDI, DF, CFI and
PFR for different types of non-linear loads. Table (14) shows upper ordered harmonics without
filter, with third harmonics tuned passive filter and with delta-star transformer for three phases
dimmer controlled halogen lamps, values of one of the three phases are given.
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Table (13) Comparison of different load types
Load Type
THDI
DF
CFI
(%)
(%)
Dimmer controlled halogen lamp (α=90o)
Vapor mercury lamp
Halogen spot light lamp
Electric Ballast lamp
Magnetic Ballast lamp
64.2
8.9
11.5
93.3
8.2
53
12
12
69
12.1
2.0
1.5
1.4
2.9
1.5
PFR
(%)
84
98
99
72
99
Table (14) harmonics without filter, with passive filter and with delta-star transformer
Case
Without Filter
With 3rd harmonic Passive Filter
With a delta-star transformer
THDI
(%)
63.0
25.0
27.1
DF
(%)
55
26
27
I (3rd)
(A)
0.78
0.33
0.02
I (5th)
(A)
0.26
0.17
0.26
I (7th)
(A)
0.26
0.18
0.25
I (9th)
(A)
0.15
0.10
0.02
IN
(A)
2.54
1.02
---
8. Conclusion
Harmonics have a number of undesirable effects on the distribution system. They affect both
technically and economically. In this paper, different harmonics source loads have been studied.
The current waveforms and harmonics spectrum have been given. The harmonics effects have
been studied and two methods of harmonics elimination have been tested and the results of
current waveforms and harmonics spectrum have been obtained. Upper harmonics orders are
obtained for cases of no filters system and the two types of filters.
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