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Amandeep Kushan et al. Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718

RESEARCH ARTICLE

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OPEN ACCESS

Comparison in Wavelets for Dynamic Monitoring Of Voltage
Fluctuation & Flicker
Amandeep Kushan, Prof.Khushdeep Singh
Guru Nanak Dev Engineering College. Panjab Technical University, Ludihana, INDIA
Guru Nanak Dev Engineering College,Panjab Technical University, Ludihana, INDIA

Abstract






Voltage fluctuation is depicted as a sequence of root mean square voltage changes or a cyclic difference of the
voltage waveform envelopeThe non-resistive loads used in the power system are the major source of fluctuation.
Such fluctuating loads include arc furnaces, rolling mill drives, and main winder. All of these have loads with a
high rate of change of power with respect to the short-circuit capacity at the point of common coupling (PCC).
Small power loads also can be sources of flicker, such as starting of induction motors, welders, boilers, power
regulators, electric saws and hammers, pumps and compressors, cranes, and elevators. In power systems, a
number of harmful technical problems occur due to voltage fluctuation, resulting in disturbance to production
processes and considerable costs. But flicker has its negative physiological results, which can affect worker
safety as well as productivity. This paper represent various wavelets used for monitoring of Fluctuation and
Flicker.
Keywords— flicker, frequency, power
effectiveness depends mainly on their rated power and
speed of reaction.
I.
INTRODUCTION
This section introduces the different types of
A rapid, repeated change in light intensity i.e.
Wavelets:
the light that appears to flutter and be unsteady is
Wavelet transforms are broadly divided into
referred to light flicker. It is caused when the voltage
following two classes:
supplied to a light source changes or when the power
a) Continuous wavelet transforms (CWT)
line voltage itself fluctuates.
b) Discrete wavelet transforms (DWT)
The severity of the flicker depends on several
Both DWT and CWT are continuous-time (analog)
factors.
transforms. They can be used to characterize
The time rate at which voltage fluctuates,
continuous-time (analog) signals. CWTs operate over
The change in the amplitude of voltage value, due to
every possible scale and translation whereas; DWTs
fluctuation.
use a particular subset of scale and translation values or
The kind of bulbs or tubes used such as, incandescent,
representation grid
fluorescent, or HID - high intensity discharge lighting
Sets of complementary wavelets are useful in
systems).
wavelet based compression/decompression algorithms,
The gain factor of the light which measures the change
where it is desirable to improve the original
in light intensity when the value of voltage, fluctuates.
information with minimal loss. The fundamental idea
Light flickering at a frequency of 50 Hertz (Hz,
behind wavelets is to analyse according to scale.
cycles per second), is produced by lamps operating on
AC electric systems (alternating current). The power is
1.Biorthogonal wavelet
turning on and off 50 times a second. The phenomenon
1.1 A biorthogonal wavelet is a wavelet where the
of flickering in light sources is not the latest one, takes
associated wavelet transform is invertible but not
place since the beginning of power distribution systems.
necessarily orthogonal. Designing biorthogonal
Due to the increase in number of residential customers
wavelets allows more degrees of freedom than
and factories, the problem of flicker is increasing day
orthogonal wavelet. The possibility to construct
by day in the power system. [1][2]
symmetric wavelet functions is one additional degree
of freedom.[2]
II.
NEED OF STUDY
By reducing the use of non-resistive loads in
1.2 In the biorthogonal case, there are two scaling
the supply system leads to reduce the amplitude of
functions
, which may generate different multivoltage fluctuation. This is another way to reduce the
resolution analyses, and accordingly two different
amplitude of voltage fluctuations. It can be done by
wavelet functions
. So the numbers M and N of
installing dynamic voltage stabilizers. Their
coefficients in the scaling sequences
may differ.

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715 | P a g e
Amandeep Kushan et al. Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718
2.Coiflet wavelet
Coiflet wavelet is a discrete wavelet designed
by Ingrid Daubechies, to have scaling functions with
vanishing moments. The wavelet is near symmetric,
their wavelet functions have N / 3 vanishing moments
and scaling functions N / 3 − 1.
2.1 The Coiflet wavelet is orthogonal and near
symmetric. This property of near symmetry leads to the
near linear phase characteristics of the Coiflet
wavelet.Coiflet scaling functions also display vanishing
moments. For both the wavelet and scaling functions,
N is the number of vanishing moments in coifN.

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determines execution order. Lab VIEW also includes
several wizards to help us quickly for configuring our
DAQ Devices and computer-based instruments and
build applications.Block diagram to monitor the flicker
and fluctuation in the power system, the block diagram
in Lab-VIEW is drawn below:A. Block Diagram-

3.Haar Wavelet
The Haar wavelet is a sequence of rescaled
"square-shaped" functions which together form a
wavelet family or basis. The Haar sequence is
recognized as the first known wavelet basis and
extensively used as a teaching example in the theory of
wavelets
4.dB-N Wavelet
Daubechies wavelets are the family of
orthogonal wavelets, which defines a discrete wavelet
transform and characterized by a maximal number of
vanishing moments for some given support. There is a
scaling function (also called father wavelet) with each
wavelet type of this class, which generates an
orthogonal multi-resolution analysis.
4.1 The dbN wavelets are the Daubechies' external
phase wavelets in which “N” refers to the number of
vanishing moments. In the literature, these filters are
also referred by the number of filter taps, which is 2N.
The db1 wavelet is also known as the Haar wavelet.

Fig.1 Block Diagram to Monitor Flicker by Using HAAR Wavelet

Figure 2 clear the instructions written in
formula node where X is the signal which is to be
decomposed into number of components in the form of
approximation (ap6) and detail (dt1 to dt6) signals.
SYM8 is the type of wavelet to be used. S is the
bookkeeper where these signals are stored in the form
of array. 1, 2, 3, 4, 5, 6 …n are the decomposition
levels, which can be increased or decreased according
to the requirements. The instruction, wavedec is used to
decompose the signal whereas wrcoef is used for the
reconstruction of the signal.

5.Symlet wavelet
The symN wavelets are also known as
Daubechies' least-asymmetric wavelets. The symlets
are more symmetric than the external phase wavelets.
In symN, “N”is the order, the number of vanishing
moments. Some authors use “2N” instead
of “N”.Symlet is only near symmetric but is not
completely symmetric; as a result some authors do not
call them symlets. In the literature, these filters are
also referred by the number of filter taps, which is
2N[3][6]
III.

DESIGN & IMPLEMENTATION

Lab-VIEW is a graphical programming
language that uses icons instead of lines ofText to
create applications. The name Lab VIEWstands for
Laboratory Virtual Instrumentation Engineering
Workbench. Lab VIEW is a system design platform
and development environment for a visual
programming language from National Instruments. In •
contrast to text-based programming languages, where
instructions determine program execution, Lab VIEW •
uses dataflow programming, where the flow of data •
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Fig2. Formula Node Used in the block diagram [2]
Where,
wrcoef = reconstructs the coefficients of the given
signal.
X = the signal to be decompose
ap = approximation of the signal
716 | P a g e
Amandeep Kushan et al. Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718
•
•
•
•
•

dt = detail of the signal
wavedec = decomposition of the signal
1,2,…….,6…….,n = number of levels
S = bookkeeper,
C = wavelet decomposition vector or coefficient and
SYM8 is the type of wavelet.
B. Observations-Here are the simulation diagrams
which are observed with the predefined parameters as
shown in fig2
B.1 Input Voltage-

Fig 3. Input Voltage
B.2 Flicker Voltage

Fig4. Flicker Voltage
B.3 Voltage Flicker Monitoring-

(H
Z)

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e

28
V

30
V

30
V

g al
e

pli
ne

28
V

us
si
an
2 28
8

2 28 27
8
V
8 28 27 30 30 28 2 27 26 2 28
V V V V V 8
8
V
10 28 26. 30. 30 28 2 28 26 2 28
V 3V 2V V V 8
7
V
12 28 26 30. 30 28 2 26 26 2 28
V V 2V V V 8
8
V
14 28 24. 30. 30 28 2 29 27 2 28
V 5V 3V V V 8
7
V
16 28 23. 31 32 28 2 30 28 2 28
V 5V V V V 8
8
V
18 28 22 32 33 30 2 27 28 2 29
V V V V V 8
8
V
20 28 20 33. 35 30 2 26 28 2 29
V V 2V V V 8
9
V
22 28 19. 32. 35 29 2 28 28 2 29
V 2V 4V V V 8
9
V
24 28 19 31. 32 28 2 30 29 3 30
V V
2 V V 8
0
V
Table1. Performance parameters of all wavelets
6

28
V

e

E. Some Observational Graphs based
frequency ,wavelet and Flicker Voltage

on

30.5
30

30 30

29.5
29

29
flicker

28.5

biorthogonal

28
Fig 5. Voltage with Flicker
C.Comparison of Different Number of Wavelets at
Different Number of Flicker Frequencies With
Respect to Voltage
Fr Fli Ha Sy C Bio D Re Fr S C
eq ck ar ml oif rth B ver eq h o
ue er Vo et let ogn -4 se
ue a m
nc Vo lta Vo V al v Bio nc n pl
y
lta ge lta olt vol ol rth y o ex
ge
ge ag tag ta ogn bs n ga
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28 28 28 28 28 28

28

27.5
27

6

8 10 12 14 16 18 20 22 24

Fig 6. Monitoring with Biorthognal wavelet

717 | P a g e
Amandeep Kushan et al. Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718

www.ijera.com

40
35
30
25
20

flicker

15

coiflet

10
5
0
6 8 10 12 14 16 18 20 22 24
Fig 7 Monitoring with coiflet wavelet
IV.
CONCLUSION
This paper has presented Wavelet based
flicker analysis system by using Lab-View to monitor
its level. Mat-lab is used for formula node in the basic
block diagram. This paper also describe variation of
voltage with frequency for few wavelets.
V.
ACKNOWLEDGMENT
I Would like to thanks GNDEC, for providing
tools and support.

REFERENCES
[1]

[2]

[3]

[4]

[5]

[6]

[7]

Tom Short, “Electric Power Distribution
Handbook”, CRC Press, Vol. 143, no.1, Jan
2004.
G. Morison, B. Gao, P. Kundur, “Voltage
stability analysis using static and dynamic
approaches”, IEEE Transactions on Power
System, vol.8, no.3, pp.1159-1171, August
1993
“Voltage Stability Assessment: Concepts,
Practices and Tools,” IEEE Catalog Number
SP101PSS, August, 2002.
D. Zhang, W. Xu, A. Nassif, “Flicker source
identification by inter harmonic power
direction”, In the proceedings of Canadian
Conference on Electrical and Computer
Engineering, 1-4, May 2005
Y. Y. Hong, L. H. Lee, ”Stochastic voltageflicker power flow”, Power Delivery, vol. 15,
no. 1, pp. 407-411, Jan 2000
M.A. Cody, "The Wavelet Packet Transform,"
Dr. Dobb's Journal,Vol 19, pp. 44-46, 50-54.
Apr. 1994
J. E.Farrell,” An analytical method for
predicting
perceived
flicker”,
Journal
ofBehavior and Information Technology, 1986.

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718 | P a g e

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  • 1. Amandeep Kushan et al. Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718 RESEARCH ARTICLE www.ijera.com OPEN ACCESS Comparison in Wavelets for Dynamic Monitoring Of Voltage Fluctuation & Flicker Amandeep Kushan, Prof.Khushdeep Singh Guru Nanak Dev Engineering College. Panjab Technical University, Ludihana, INDIA Guru Nanak Dev Engineering College,Panjab Technical University, Ludihana, INDIA Abstract     Voltage fluctuation is depicted as a sequence of root mean square voltage changes or a cyclic difference of the voltage waveform envelopeThe non-resistive loads used in the power system are the major source of fluctuation. Such fluctuating loads include arc furnaces, rolling mill drives, and main winder. All of these have loads with a high rate of change of power with respect to the short-circuit capacity at the point of common coupling (PCC). Small power loads also can be sources of flicker, such as starting of induction motors, welders, boilers, power regulators, electric saws and hammers, pumps and compressors, cranes, and elevators. In power systems, a number of harmful technical problems occur due to voltage fluctuation, resulting in disturbance to production processes and considerable costs. But flicker has its negative physiological results, which can affect worker safety as well as productivity. This paper represent various wavelets used for monitoring of Fluctuation and Flicker. Keywords— flicker, frequency, power effectiveness depends mainly on their rated power and speed of reaction. I. INTRODUCTION This section introduces the different types of A rapid, repeated change in light intensity i.e. Wavelets: the light that appears to flutter and be unsteady is Wavelet transforms are broadly divided into referred to light flicker. It is caused when the voltage following two classes: supplied to a light source changes or when the power a) Continuous wavelet transforms (CWT) line voltage itself fluctuates. b) Discrete wavelet transforms (DWT) The severity of the flicker depends on several Both DWT and CWT are continuous-time (analog) factors. transforms. They can be used to characterize The time rate at which voltage fluctuates, continuous-time (analog) signals. CWTs operate over The change in the amplitude of voltage value, due to every possible scale and translation whereas; DWTs fluctuation. use a particular subset of scale and translation values or The kind of bulbs or tubes used such as, incandescent, representation grid fluorescent, or HID - high intensity discharge lighting Sets of complementary wavelets are useful in systems). wavelet based compression/decompression algorithms, The gain factor of the light which measures the change where it is desirable to improve the original in light intensity when the value of voltage, fluctuates. information with minimal loss. The fundamental idea Light flickering at a frequency of 50 Hertz (Hz, behind wavelets is to analyse according to scale. cycles per second), is produced by lamps operating on AC electric systems (alternating current). The power is 1.Biorthogonal wavelet turning on and off 50 times a second. The phenomenon 1.1 A biorthogonal wavelet is a wavelet where the of flickering in light sources is not the latest one, takes associated wavelet transform is invertible but not place since the beginning of power distribution systems. necessarily orthogonal. Designing biorthogonal Due to the increase in number of residential customers wavelets allows more degrees of freedom than and factories, the problem of flicker is increasing day orthogonal wavelet. The possibility to construct by day in the power system. [1][2] symmetric wavelet functions is one additional degree of freedom.[2] II. NEED OF STUDY By reducing the use of non-resistive loads in 1.2 In the biorthogonal case, there are two scaling the supply system leads to reduce the amplitude of functions , which may generate different multivoltage fluctuation. This is another way to reduce the resolution analyses, and accordingly two different amplitude of voltage fluctuations. It can be done by wavelet functions . So the numbers M and N of installing dynamic voltage stabilizers. Their coefficients in the scaling sequences may differ. www.ijera.com 715 | P a g e
  • 2. Amandeep Kushan et al. Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718 2.Coiflet wavelet Coiflet wavelet is a discrete wavelet designed by Ingrid Daubechies, to have scaling functions with vanishing moments. The wavelet is near symmetric, their wavelet functions have N / 3 vanishing moments and scaling functions N / 3 − 1. 2.1 The Coiflet wavelet is orthogonal and near symmetric. This property of near symmetry leads to the near linear phase characteristics of the Coiflet wavelet.Coiflet scaling functions also display vanishing moments. For both the wavelet and scaling functions, N is the number of vanishing moments in coifN. www.ijera.com determines execution order. Lab VIEW also includes several wizards to help us quickly for configuring our DAQ Devices and computer-based instruments and build applications.Block diagram to monitor the flicker and fluctuation in the power system, the block diagram in Lab-VIEW is drawn below:A. Block Diagram- 3.Haar Wavelet The Haar wavelet is a sequence of rescaled "square-shaped" functions which together form a wavelet family or basis. The Haar sequence is recognized as the first known wavelet basis and extensively used as a teaching example in the theory of wavelets 4.dB-N Wavelet Daubechies wavelets are the family of orthogonal wavelets, which defines a discrete wavelet transform and characterized by a maximal number of vanishing moments for some given support. There is a scaling function (also called father wavelet) with each wavelet type of this class, which generates an orthogonal multi-resolution analysis. 4.1 The dbN wavelets are the Daubechies' external phase wavelets in which “N” refers to the number of vanishing moments. In the literature, these filters are also referred by the number of filter taps, which is 2N. The db1 wavelet is also known as the Haar wavelet. Fig.1 Block Diagram to Monitor Flicker by Using HAAR Wavelet Figure 2 clear the instructions written in formula node where X is the signal which is to be decomposed into number of components in the form of approximation (ap6) and detail (dt1 to dt6) signals. SYM8 is the type of wavelet to be used. S is the bookkeeper where these signals are stored in the form of array. 1, 2, 3, 4, 5, 6 …n are the decomposition levels, which can be increased or decreased according to the requirements. The instruction, wavedec is used to decompose the signal whereas wrcoef is used for the reconstruction of the signal. 5.Symlet wavelet The symN wavelets are also known as Daubechies' least-asymmetric wavelets. The symlets are more symmetric than the external phase wavelets. In symN, “N”is the order, the number of vanishing moments. Some authors use “2N” instead of “N”.Symlet is only near symmetric but is not completely symmetric; as a result some authors do not call them symlets. In the literature, these filters are also referred by the number of filter taps, which is 2N[3][6] III. DESIGN & IMPLEMENTATION Lab-VIEW is a graphical programming language that uses icons instead of lines ofText to create applications. The name Lab VIEWstands for Laboratory Virtual Instrumentation Engineering Workbench. Lab VIEW is a system design platform and development environment for a visual programming language from National Instruments. In • contrast to text-based programming languages, where instructions determine program execution, Lab VIEW • uses dataflow programming, where the flow of data • www.ijera.com Fig2. Formula Node Used in the block diagram [2] Where, wrcoef = reconstructs the coefficients of the given signal. X = the signal to be decompose ap = approximation of the signal 716 | P a g e
  • 3. Amandeep Kushan et al. Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718 • • • • • dt = detail of the signal wavedec = decomposition of the signal 1,2,…….,6…….,n = number of levels S = bookkeeper, C = wavelet decomposition vector or coefficient and SYM8 is the type of wavelet. B. Observations-Here are the simulation diagrams which are observed with the predefined parameters as shown in fig2 B.1 Input Voltage- Fig 3. Input Voltage B.2 Flicker Voltage Fig4. Flicker Voltage B.3 Voltage Flicker Monitoring- (H Z) www.ijera.com e 28 V 30 V 30 V g al e pli ne 28 V us si an 2 28 8 2 28 27 8 V 8 28 27 30 30 28 2 27 26 2 28 V V V V V 8 8 V 10 28 26. 30. 30 28 2 28 26 2 28 V 3V 2V V V 8 7 V 12 28 26 30. 30 28 2 26 26 2 28 V V 2V V V 8 8 V 14 28 24. 30. 30 28 2 29 27 2 28 V 5V 3V V V 8 7 V 16 28 23. 31 32 28 2 30 28 2 28 V 5V V V V 8 8 V 18 28 22 32 33 30 2 27 28 2 29 V V V V V 8 8 V 20 28 20 33. 35 30 2 26 28 2 29 V V 2V V V 8 9 V 22 28 19. 32. 35 29 2 28 28 2 29 V 2V 4V V V 8 9 V 24 28 19 31. 32 28 2 30 29 3 30 V V 2 V V 8 0 V Table1. Performance parameters of all wavelets 6 28 V e E. Some Observational Graphs based frequency ,wavelet and Flicker Voltage on 30.5 30 30 30 29.5 29 29 flicker 28.5 biorthogonal 28 Fig 5. Voltage with Flicker C.Comparison of Different Number of Wavelets at Different Number of Flicker Frequencies With Respect to Voltage Fr Fli Ha Sy C Bio D Re Fr S C eq ck ar ml oif rth B ver eq h o ue er Vo et let ogn -4 se ue a m nc Vo lta Vo V al v Bio nc n pl y lta ge lta olt vol ol rth y o ex ge ge ag tag ta ogn bs n ga www.ijera.com 28 28 28 28 28 28 28 27.5 27 6 8 10 12 14 16 18 20 22 24 Fig 6. Monitoring with Biorthognal wavelet 717 | P a g e
  • 4. Amandeep Kushan et al. Int. Journal of Engineering Research and Application ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.715-718 www.ijera.com 40 35 30 25 20 flicker 15 coiflet 10 5 0 6 8 10 12 14 16 18 20 22 24 Fig 7 Monitoring with coiflet wavelet IV. CONCLUSION This paper has presented Wavelet based flicker analysis system by using Lab-View to monitor its level. Mat-lab is used for formula node in the basic block diagram. This paper also describe variation of voltage with frequency for few wavelets. V. ACKNOWLEDGMENT I Would like to thanks GNDEC, for providing tools and support. REFERENCES [1] [2] [3] [4] [5] [6] [7] Tom Short, “Electric Power Distribution Handbook”, CRC Press, Vol. 143, no.1, Jan 2004. G. Morison, B. Gao, P. Kundur, “Voltage stability analysis using static and dynamic approaches”, IEEE Transactions on Power System, vol.8, no.3, pp.1159-1171, August 1993 “Voltage Stability Assessment: Concepts, Practices and Tools,” IEEE Catalog Number SP101PSS, August, 2002. D. Zhang, W. Xu, A. Nassif, “Flicker source identification by inter harmonic power direction”, In the proceedings of Canadian Conference on Electrical and Computer Engineering, 1-4, May 2005 Y. Y. Hong, L. H. Lee, ”Stochastic voltageflicker power flow”, Power Delivery, vol. 15, no. 1, pp. 407-411, Jan 2000 M.A. Cody, "The Wavelet Packet Transform," Dr. Dobb's Journal,Vol 19, pp. 44-46, 50-54. Apr. 1994 J. E.Farrell,” An analytical method for predicting perceived flicker”, Journal ofBehavior and Information Technology, 1986. www.ijera.com 718 | P a g e