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V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                   Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 2, Issue 6, November- December 2012, pp.766-771
 Detection And Mitigation Of Power Quality Disturbances Using
                  DWT Technique And DVR
                         V. Usha Reddy*, S. Deepika Chowdary**
                           *(Department of EEE, S.V. University, Tirupati – 517 502)
                          ** (Department of EEE, S.V. University, Tirupati – 517 502)


ABSTRACT
         Power quality (PQ) is an issue that is           different people. There is no agreed definition for
becoming increasingly important to electricity            power quality, it may be defined as the problems
consumers at all levels of usage. Improvement of          manifested in voltage, frequency and the effect of
PQ has a positive impact on sustain profitability         harmonics, poor power factor that results in mis-
of the distribution utility on the one hand and           operation/failure of customer equipment. Certain
customer satisfaction on the other. To improve            type of power quality degradation results in losses
the power quality problems, the detection of PQ           and thus losses in transmission and distribution
disturbances should be carried out first. The PQ          system have come under greater scrutiny in recent
problems vary in a wide range of time &                   years. When wave shapes are irregular, voltage is
frequency, which make automatic detection of              poorly regulated, harmonics and flickers are present,
PQ problems often difficult to analyse the cause          or there are momentary events that distort the
of occurrence.There are numerous types of PQ              usually sinusoidal wave, and the power utilization is
disturbances according to IEEE standards that             degraded. This paper outlines the issue relating to
are concerned very often. As it is evident that if        power quality and their impact on Energy
there is a problem then there will be a technique         Conservation. Due to the advantages in technology
to solve that problem. As the same to detect the          and the increasing growing of industrial/commercial
PQ problems and their disturbances waveform               facilities in regions, the power quality has been a
automatically, there are some techniques that are         major concern among industries. Thus in order to
proposed such as Fast Fourier Transform, Short            maintain the consistent standard of power quality in
Time Fourier Transform and Wavelet Transform              the near feature with the increasing number of
Technique. PQ disturbances also vary in a wide            industries and commercial facilities; it would be
range of time and frequency and Discrete wavelet          extremely urgent and tackle the power quality
Transformation(DWT) with Fuzzy classifier have            challengers. This is then lead to time wasted while
unique ability to examine the signal in time and          trying to solve the problems. However certain
frequency ranges. In this paper the mitigation of         appropriate measures can be taken to protect the
detected power quality problems can be done by            affected equipment or to raise the quality of power
the device Dynamic Voltage Restorer (DVR).                supply.      Power supply quality issues and resulting
                                                          problems are the consequences of the increasing use
Keywords—Power       quality,   Detection  of             of solid state switching devices, nonlinear and power
disturbance, Discrete wavelettransform, Fuzzy             electronically switched loads, unbalanced power
classifier, DVR.                                          system, lightning controls, computer and data
                                                          processing equipment, as well as industrial plant
I. INTRODUCTION                                           rectifiers and inverters.A power quality problem
         In an ideal ac power system, energy is           usually involves a variation in the electric service
supplied at a single constant frequency and specified     voltage or current, such as voltage dips and
voltage levels of constant magnitudes. However, this      fluctuations, momentary interruptions, harmonics
situation is difficult to achieve in practice. The        and oscillatory transient causing failure, or mis-
undesirable deviation from a perfect sinusoidal           operation of the power service equipment[1,2].
waveform is generally expressed in the terms of                     With the common use of all kinds of
power quality. The power quality is an umbrella           electronic sensitive equipment, electric power
concept for many individual types of power system         quality, including voltage sag, voltage swell, voltage
disturbances such as harmonic distortion, transients,     harmonics, and oscillatory transients has attracted
voltage variations, voltage flicker, etc. Of all power    great attention. How to extract the features of
line disturbances harmonics are probably the most         disturbances from a large number of power signals
degenerative condition to power quality because of        and how to recognize them automatically are
being a steady state condition .Electric powerquality     important for further understanding and improving
may be defined as a measure of how well electric          power quality. Hence, to improve the power quality,
power service can be utilized by customers. The           it is required to know the sources of power system
term power quality means different things to              disturbances and find ways to mitigate them.



                                                                                                766 | P a g e
V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                   Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 2, Issue 6, November- December 2012, pp.766-771
Signal processing techniques have been widely used        lead to poor classification accuracy in the ANN and
for analysing power signals for the purpose of            the FL methods, is the non-uniform time alignment
automatic power quality (PQ) disturbance                  between the test signal and the prestored templates.
recognition. Among the different signal processing        The time alignment issue can be most efficiently
techniques used in the extracting of features of          handled by applying the DWT algorithm, which has
disturbances from a large number of power signals,        been extensively used in the speech recognition. The
the most widely used techniques are fast Fourier          DWT is a template matching algorithm derived from
transform (FFT) and the windowed Fourier                  dynamic programming. Conceptually, template
transform which comprises of the short time Fourier       matching is based on the comparison of the test
transform (STFT) and the wavelet transform (WT).          signal against all of the stored templates in the
The FFT is ideal for calculating magnitudes of the        dictionary. A measure of similarity is calculated, and
steady state sinusoidal signals but it does not have      then used to achieve a recognition decision.
the capability of copying with sharp changes and                    Among the power quality problems (sags,
discontinuities in the signals. Although the modified     swells, interruptions) voltage sags are the
version of the Fourier transform referred to as the       mostsevere disturbances. In order to overcome these
STFT can resolve some of the drawbacks of the             problems the concept of custom power devices is
FFT, it still has some technical problems. In the         introduced recently. One of those devices is the
STFT technique, its resolution is greatly dependent       Dynamic Voltage Restorer (DVR), which is the most
on the width of the window function in which if the       efficient and effective modern custom power device
window is of finite length, the technique covers only     used in power distribution networks. DVR is a
a portion of the signal, thus causing poor frequency      recently proposed series connected solid state device
resolution. On the other hand, if the length of the       that injects voltage into the system in order to
window in the STFT is infinite so as to obtain the        regulate the load side voltage. It is normally installed
perfect frequency resolution, then all the time           in a distribution system between the supply and the
information will be lost. Due to this reason,             critical load feeder at the point of common coupling
researchers have switched to wavelet transform from       (PCC). Other than voltage sags and swells
the STFT[3,4].                                            compensation, DVR can also added other features
          Some of the well-known wavelet                  like line voltageharmonics compensation, reduction
transforms are the continuous wavelet transform           of transients in voltage and fault current
(CWT) and the discrete wavelet transform (DWT).           limitations[6,7].
Wavelet analysis is based on the decomposition of
the signal according to time-scale, rather than
frequency, using basis functions with the adaptable
scaling properties which are known as multi-
resolution analysis. A wavelet transform expands a        Fig: 1 Test system
signal not in terms of a trigonometric polynomial but
by wavelets, generated using transition (shift in
time) and dilation (compression in time) of a fixed
wavelet function. The wavelet function is localized
in time and frequency yielding wavelet coefficients       II.  Power Quality Problems In Distribution
at different scales. Several types of wavelets have       systems
been considered for detection, and localization of                  A wide diversity of solution to power
power quality problems as both time and frequency         quality problems is available to the both the
information are available by multi-resolution             distribution network operator and the end user. More
analysis. Most of the proposed systems uses either        sophisticated monitoring equipment is readily
the Fourier transform (FT) or the wavelet transform       affordable to end-users, who empower with
for feature extraction and the artificial neural          information related to the level of power quality
network (ANN) or fuzzy logic (FL) for event               measurable quantities or occurrences.Most of the
classification. ANN have several drawbacks,               more important international standards defines
including their inherent need of a large numbers of       power quality as the physical characteristic of the
training cycles. The key benefit of FL is that its        electrical supply provided under normal operating
knowledge representation is explicit in utilizing         conditions that do not disturb the customer’s
simple “IF-THEN” relation. The wavelet transform          processes. Therefore, a power quality problem exists
has the capability to extract information from the        if any voltage, current or frequency deviation results
signal in both time and frequency domains                 in a failure or in a bad operation of customer’s
simultaneously. Recently, the wavelet transform has       equipment. Power quality problems are common in
been applied in the detection and classification of the   most of commercial, industrial and utility networks.
power quality events[5].                                  Natural phenomena, such as lightning are the most
          A major concern in the classification of        frequent case of power quality problems. Switching
process of power quality disturbances, which may          phenomena resulting in oscillatory transients in the


                                                                                                  767 | P a g e
V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                   Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 2, Issue 6, November- December 2012, pp.766-771
electricalsupply, for example when capacitors are          pass filters to analyze the low frequencies. The
switched, also contribute substantially to power           resolution of the signal, which is a measure of the
quality disturbances. Also, the connection of high         amount of detail information in the signal, is
power non-linear loads contributes to the generation       changed by the filtering operations, and the scale is
of current and voltage harmonic components.,               changed by up sampling and down sampling
leading to costly interruptions of production. Power       operations. For example, sub sampling by two
disturbances are caused by the generation,                 refers to dropping every other sample of the signal.
distribution and use of power, and lightning. A            Sub sampling by a factor n reduces the number of
power disturbance can be defined as unwanted               samples in the signal n times. The procedure starts
excess energy that is presented to the load.               with passing this signal through a half band digital
                                                           low pass filter with impulse response h[n].
The various power quality disturbances are                 The convolution operation in discrete time is
2.1 Voltage Sag:                                           defined as follows:
         Voltage sag is a short term reduction in,                                  
RMS voltage in the range of 0.1 to 0.9 p.u. for the        x[n]  h[n]              x[k ].h[n  k ] (3.1)
                                                                                k 
duration greater than half the mains cycle and less
than 1 minute. It is specified in terms of duration and
retained voltage, usually expressed as the percentage               Half band low pass filtering removes half of
of nominal RMS voltage remaining at the lowest             the frequencies, which can be interpreted as losing
point during the dip. Voltage sag (dip) means that         half of the information.The signal is then
the required energy is not being delivered to the load     subsampled by 2 since half of the number of samples
and this can have serious consequences depending           are redundant. This doubles the scale
on the type of load involved.                              This procedure can mathematically be expressed as:

2.2 Voltage Swell:                                                   
         A voltage swell is increase in the RMS            y[n]     h[k ].x[2n  k ]
                                                                    k 
                                                                                                     (3.2)
voltage in the range of 1.1 to 1.8 p.u. for duration
greater than half the mains cycle and less than 1                    DWT employs two sets of functions, called
minute. It is caused by load switching and capacitor       scaling functions and wavelet functions, which are
switching.                                                 associated with low pass and high pass filters,
                                                           respectively. The original signal x[n] is first passed
2.3 Momentary Interruption:                                through a halfband highpass filter g[n] and a lowpass
        A type of short duration in which the              filter h[n].
complete loss of voltage on one or more phase              This constitutes one level of decomposition and can
conductors for a time period between 0.5 cycles and        mathematically be expressed as follows:
3 seconds.                                                 yhigh[k ]   x[n].g[2k  n]  (3.3)
                                                                                n

                                                           ylow[k ]   x[n].h[2k  n]
2.4 Impulsive Transients:
         A sudden non power frequency change in                                                       (3.4)
                                                                            n
the steady state condition of voltage or current i.e.
unidirectional polarity (primarily either positive or
negative).                                                          Where yhigh[k] and ylow[k] are the outputs of
                                                           the highpass and lowpass filters, respectively, after
                                                           subsampling by 2.The highpass and lowpass filters
III.POWER QUALITY ANALYSIS USING
                                                           are not independent of each other, and they are
DISCRETE   WAVELET    TRANFORM                             related by:
(DWT
         The DWT is considerably easier to                 g[ L  1  n]  (1) n .h[n]               (3.5)
implement when compared to the CWT. The basic
concepts of the DWT will be introduced in this                       However, if the filters are not ideal
section along with its properties and the algorithms       halfband, then perfect reconstruction cannot be
used to compute it. As in the previous chapters,           achieved. Although it is not possible to realize ideal
examples are provided to aid in the interpretation of      filters, under certain conditions it is possible to find
the DWT.                                                   filters that provide perfect reconstruction. The most
                                                           famous ones are the ones developed by Ingrid
3.1 Sub band coding                                        Daubechies, and they are known as Daubechies’
         In the discrete case, filters of different cut-   wavelets.
off frequencies are used to analyze the signal at
different scales. The signal is passed through a
series of high pass filters to analyze the high
frequencies, and it is passed through a series of low


                                                                                                       768 | P a g e
V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                        Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                         Vol. 2, Issue 6, November- December 2012, pp.766-771
      IV.SIMULATION         RESULTS          AND
      OUTPUTS




                                                            CA1                                CD1




      CA1                               CD1




                                                            Fig 4.3 Extraction of coefficients for Impulse
                                                            Transientsusing DWT
      Fig 4.1Extraction of coefficients for sag using DWT




                                                                  CA1                                CD1


CA1                                    CD1




                                                            Fig 4.4Extraction of coefficients for Momentary
                                                            Interruptions



      Fig 4.2 Extraction of coefficients for swell using
      DWT




                                                                                             769 | P a g e
V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                   Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 2, Issue 6, November- December 2012, pp.766-771
Table 4.1: Matlab Results for Sag

   Percentage      Load             First     peak
   Of Sag (%)      (MVAR)           coefficients
   10              0.44             2.075
   20              0.98             3.514
   30              1.64             4.5
   40              2.55             6.2871
   50              3.84             8.679
   60              5.68             11.815
   70              8.95             16.672
   80              15.5             24.045
   90              35.4             126.23               Fig 4.6: Simulation wave form withusing DVR
Table 4.2: Matlab Results for Swell

     Percentage Of     Load           First peak
     Swell (%)         (MVAR)         coefficients
     10                0.175          59.92
     20                0.235          58.6

     30                0.31           59.8
     40                0.41           60.76
     50                0.558          61.58
                                                         Fig 4.7: Simulation Full wave form withusing DVR
     60                0.82           62.28
     70                1.9            63.18              V. CONCLUSION
                                                                   The discrete wavelet transform termed as
                                                         DWT is used in this project as powerful analysis tool
Table 4.3: Matlab Results for Impulse Transients
                                                         for monitoring , detecting and classification of
                                                         power quality disturbances . The DWT gave the
          Load            First peak        First peak
                                                         perfect time – frequency plot by which it became
          (MVAR)          coefficient       time (sec)
                                                         easier to analyse the power quality disturbances
          20              97.1816           0.1102       which has occurred in the power system
                                                         network.The proposed method is simple and
Table 4.4: Matlab         Results     for    Momentary   effective methodology for the detection and
Interruptions                                            classification of power quality disturbances. By
                                                         applying the DWT to the distorted voltage signals of
                                                         the disturbances, the DWT coefficients are extracted,
    Fault         First      peak     First     Peak
                                                         in which the cD1 (Detail coefficients at level1) is
    Impedance     coefficient         time(sec)
                                                         used to analyse the disturbance. The first peak of the
    (ohms)
                                                         cD1 is taken for all the four PQ disturbances i.e., the
    0.001         6.805               0.2002
                                                         magnitude of the first peak is taken and given as the
                                                         input to the fuzzy classifier. A MATLAB program
                                                         has been developed for the detection and
                                                         classification of PQ disturbances where it gives the
                                                         information about the time duration of the
                                                         disturbance, magnitude of the coefficients (cD1) and
                                                         classifies what kind of PQ disturbance has occurred.
                                                         Several power quality disturbances such as voltage
                                                         sag, voltage swell, impulse transients and
                                                         momentary interruptions have been analysed and
                                                         recognized      using     the    Discrete    Wavelet
                                                         Transform(DWT).
                                                                   This paper has presented the power quality
                                                         problems such as voltage sags, swells and
Fig 4.5: Simulation wave formwithout using DVR           interruptions and mitigation techniques of custom



                                                                                                770 | P a g e
V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and
                   Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 2, Issue 6, November- December 2012, pp.766-771
power electronic device DVR. The design and
applications of DVR for voltage sag results are
presented.A new PWM-based control scheme has
been implemented to control the electronic valves in
the two-level VSC used in the DVR. As opposed to
fundamentalfrequency switching schemes already
available in the MATLAB/ SIMULINK, this PWM
control scheme only requires voltage measurements.
The simulations carried out showed that the DVR
provides relatively better voltage regulation
capabilities.

REFERENCES
  [1]   T.Lachman, A.P.Memon, T.R.Mohomad,
        Z.A.Memon, “Detection of Power Quality
        Disturbances Using Wavelet Transform
        Technique”, International Journal For
        Science & Arts, Vol .1, No .1, 2010.
  [2]   Penna, C., “Detection and Classification of
        Power Quality Disturbances Using the
        Wavelet Transform, M. Sc. Dissertation”,
        June       2000,     University      Federal
        deUberlandia, Brazil.
  [3]   Gaouda, A. M., Salama, M. M. A., Sultan
        M. R., Chikhani, A. Y., “Power Quality
        Detection and Classification Using
        Wavelet-         multiresolution      Signal
        Decomposition”, IEEE Transactions on
        Power Delivery, Vol. 14, No. 4, pp. 1469-
        1476, October 1999.
  [4]   Surya Santoso, Edward J. Powers, W. Mack
        Grady, Peter Hofmann, “Power Quality
        Assessment via Wavelet Transform
        Analysis”, IEEE transactions on Power
        Delivery,Vol. 11, No.2, April 1996.
  [5]   Ibrahim W.R.Anis and Morcos M.M., 2002.
        Artificial intelligence and advanced
        mathematical tools for power quality
        applications: a survey, IEEE Trans. on
        Power Delivery,vol. 17, pp. 668-673.
  [6]   S.V Ravi Kumar, S. Siva Nagaraju “
        Simulation of DVR and D-STATCOM in
        power systems”, APRN Journal of
        Engineering And Applied Sciences , vol.2,
        No 3 jun. 2007.
  [7]   Haque,      M.H.,      “Compensation      of
        distribution system voltage sag by DVR
        and      D-STATCOM”,          Power    Tech
        Proceedings, IEEE Porto, vol.1, pp.10-13,
        Sept. 2006.




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  • 1. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 Detection And Mitigation Of Power Quality Disturbances Using DWT Technique And DVR V. Usha Reddy*, S. Deepika Chowdary** *(Department of EEE, S.V. University, Tirupati – 517 502) ** (Department of EEE, S.V. University, Tirupati – 517 502) ABSTRACT Power quality (PQ) is an issue that is different people. There is no agreed definition for becoming increasingly important to electricity power quality, it may be defined as the problems consumers at all levels of usage. Improvement of manifested in voltage, frequency and the effect of PQ has a positive impact on sustain profitability harmonics, poor power factor that results in mis- of the distribution utility on the one hand and operation/failure of customer equipment. Certain customer satisfaction on the other. To improve type of power quality degradation results in losses the power quality problems, the detection of PQ and thus losses in transmission and distribution disturbances should be carried out first. The PQ system have come under greater scrutiny in recent problems vary in a wide range of time & years. When wave shapes are irregular, voltage is frequency, which make automatic detection of poorly regulated, harmonics and flickers are present, PQ problems often difficult to analyse the cause or there are momentary events that distort the of occurrence.There are numerous types of PQ usually sinusoidal wave, and the power utilization is disturbances according to IEEE standards that degraded. This paper outlines the issue relating to are concerned very often. As it is evident that if power quality and their impact on Energy there is a problem then there will be a technique Conservation. Due to the advantages in technology to solve that problem. As the same to detect the and the increasing growing of industrial/commercial PQ problems and their disturbances waveform facilities in regions, the power quality has been a automatically, there are some techniques that are major concern among industries. Thus in order to proposed such as Fast Fourier Transform, Short maintain the consistent standard of power quality in Time Fourier Transform and Wavelet Transform the near feature with the increasing number of Technique. PQ disturbances also vary in a wide industries and commercial facilities; it would be range of time and frequency and Discrete wavelet extremely urgent and tackle the power quality Transformation(DWT) with Fuzzy classifier have challengers. This is then lead to time wasted while unique ability to examine the signal in time and trying to solve the problems. However certain frequency ranges. In this paper the mitigation of appropriate measures can be taken to protect the detected power quality problems can be done by affected equipment or to raise the quality of power the device Dynamic Voltage Restorer (DVR). supply. Power supply quality issues and resulting problems are the consequences of the increasing use Keywords—Power quality, Detection of of solid state switching devices, nonlinear and power disturbance, Discrete wavelettransform, Fuzzy electronically switched loads, unbalanced power classifier, DVR. system, lightning controls, computer and data processing equipment, as well as industrial plant I. INTRODUCTION rectifiers and inverters.A power quality problem In an ideal ac power system, energy is usually involves a variation in the electric service supplied at a single constant frequency and specified voltage or current, such as voltage dips and voltage levels of constant magnitudes. However, this fluctuations, momentary interruptions, harmonics situation is difficult to achieve in practice. The and oscillatory transient causing failure, or mis- undesirable deviation from a perfect sinusoidal operation of the power service equipment[1,2]. waveform is generally expressed in the terms of With the common use of all kinds of power quality. The power quality is an umbrella electronic sensitive equipment, electric power concept for many individual types of power system quality, including voltage sag, voltage swell, voltage disturbances such as harmonic distortion, transients, harmonics, and oscillatory transients has attracted voltage variations, voltage flicker, etc. Of all power great attention. How to extract the features of line disturbances harmonics are probably the most disturbances from a large number of power signals degenerative condition to power quality because of and how to recognize them automatically are being a steady state condition .Electric powerquality important for further understanding and improving may be defined as a measure of how well electric power quality. Hence, to improve the power quality, power service can be utilized by customers. The it is required to know the sources of power system term power quality means different things to disturbances and find ways to mitigate them. 766 | P a g e
  • 2. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 Signal processing techniques have been widely used lead to poor classification accuracy in the ANN and for analysing power signals for the purpose of the FL methods, is the non-uniform time alignment automatic power quality (PQ) disturbance between the test signal and the prestored templates. recognition. Among the different signal processing The time alignment issue can be most efficiently techniques used in the extracting of features of handled by applying the DWT algorithm, which has disturbances from a large number of power signals, been extensively used in the speech recognition. The the most widely used techniques are fast Fourier DWT is a template matching algorithm derived from transform (FFT) and the windowed Fourier dynamic programming. Conceptually, template transform which comprises of the short time Fourier matching is based on the comparison of the test transform (STFT) and the wavelet transform (WT). signal against all of the stored templates in the The FFT is ideal for calculating magnitudes of the dictionary. A measure of similarity is calculated, and steady state sinusoidal signals but it does not have then used to achieve a recognition decision. the capability of copying with sharp changes and Among the power quality problems (sags, discontinuities in the signals. Although the modified swells, interruptions) voltage sags are the version of the Fourier transform referred to as the mostsevere disturbances. In order to overcome these STFT can resolve some of the drawbacks of the problems the concept of custom power devices is FFT, it still has some technical problems. In the introduced recently. One of those devices is the STFT technique, its resolution is greatly dependent Dynamic Voltage Restorer (DVR), which is the most on the width of the window function in which if the efficient and effective modern custom power device window is of finite length, the technique covers only used in power distribution networks. DVR is a a portion of the signal, thus causing poor frequency recently proposed series connected solid state device resolution. On the other hand, if the length of the that injects voltage into the system in order to window in the STFT is infinite so as to obtain the regulate the load side voltage. It is normally installed perfect frequency resolution, then all the time in a distribution system between the supply and the information will be lost. Due to this reason, critical load feeder at the point of common coupling researchers have switched to wavelet transform from (PCC). Other than voltage sags and swells the STFT[3,4]. compensation, DVR can also added other features Some of the well-known wavelet like line voltageharmonics compensation, reduction transforms are the continuous wavelet transform of transients in voltage and fault current (CWT) and the discrete wavelet transform (DWT). limitations[6,7]. Wavelet analysis is based on the decomposition of the signal according to time-scale, rather than frequency, using basis functions with the adaptable scaling properties which are known as multi- resolution analysis. A wavelet transform expands a Fig: 1 Test system signal not in terms of a trigonometric polynomial but by wavelets, generated using transition (shift in time) and dilation (compression in time) of a fixed wavelet function. The wavelet function is localized in time and frequency yielding wavelet coefficients II. Power Quality Problems In Distribution at different scales. Several types of wavelets have systems been considered for detection, and localization of A wide diversity of solution to power power quality problems as both time and frequency quality problems is available to the both the information are available by multi-resolution distribution network operator and the end user. More analysis. Most of the proposed systems uses either sophisticated monitoring equipment is readily the Fourier transform (FT) or the wavelet transform affordable to end-users, who empower with for feature extraction and the artificial neural information related to the level of power quality network (ANN) or fuzzy logic (FL) for event measurable quantities or occurrences.Most of the classification. ANN have several drawbacks, more important international standards defines including their inherent need of a large numbers of power quality as the physical characteristic of the training cycles. The key benefit of FL is that its electrical supply provided under normal operating knowledge representation is explicit in utilizing conditions that do not disturb the customer’s simple “IF-THEN” relation. The wavelet transform processes. Therefore, a power quality problem exists has the capability to extract information from the if any voltage, current or frequency deviation results signal in both time and frequency domains in a failure or in a bad operation of customer’s simultaneously. Recently, the wavelet transform has equipment. Power quality problems are common in been applied in the detection and classification of the most of commercial, industrial and utility networks. power quality events[5]. Natural phenomena, such as lightning are the most A major concern in the classification of frequent case of power quality problems. Switching process of power quality disturbances, which may phenomena resulting in oscillatory transients in the 767 | P a g e
  • 3. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 electricalsupply, for example when capacitors are pass filters to analyze the low frequencies. The switched, also contribute substantially to power resolution of the signal, which is a measure of the quality disturbances. Also, the connection of high amount of detail information in the signal, is power non-linear loads contributes to the generation changed by the filtering operations, and the scale is of current and voltage harmonic components., changed by up sampling and down sampling leading to costly interruptions of production. Power operations. For example, sub sampling by two disturbances are caused by the generation, refers to dropping every other sample of the signal. distribution and use of power, and lightning. A Sub sampling by a factor n reduces the number of power disturbance can be defined as unwanted samples in the signal n times. The procedure starts excess energy that is presented to the load. with passing this signal through a half band digital low pass filter with impulse response h[n]. The various power quality disturbances are The convolution operation in discrete time is 2.1 Voltage Sag: defined as follows: Voltage sag is a short term reduction in,  RMS voltage in the range of 0.1 to 0.9 p.u. for the x[n]  h[n]   x[k ].h[n  k ] (3.1) k  duration greater than half the mains cycle and less than 1 minute. It is specified in terms of duration and retained voltage, usually expressed as the percentage Half band low pass filtering removes half of of nominal RMS voltage remaining at the lowest the frequencies, which can be interpreted as losing point during the dip. Voltage sag (dip) means that half of the information.The signal is then the required energy is not being delivered to the load subsampled by 2 since half of the number of samples and this can have serious consequences depending are redundant. This doubles the scale on the type of load involved. This procedure can mathematically be expressed as: 2.2 Voltage Swell:  A voltage swell is increase in the RMS y[n]   h[k ].x[2n  k ] k  (3.2) voltage in the range of 1.1 to 1.8 p.u. for duration greater than half the mains cycle and less than 1 DWT employs two sets of functions, called minute. It is caused by load switching and capacitor scaling functions and wavelet functions, which are switching. associated with low pass and high pass filters, respectively. The original signal x[n] is first passed 2.3 Momentary Interruption: through a halfband highpass filter g[n] and a lowpass A type of short duration in which the filter h[n]. complete loss of voltage on one or more phase This constitutes one level of decomposition and can conductors for a time period between 0.5 cycles and mathematically be expressed as follows: 3 seconds. yhigh[k ]   x[n].g[2k  n]  (3.3) n ylow[k ]   x[n].h[2k  n] 2.4 Impulsive Transients: A sudden non power frequency change in  (3.4) n the steady state condition of voltage or current i.e. unidirectional polarity (primarily either positive or negative). Where yhigh[k] and ylow[k] are the outputs of the highpass and lowpass filters, respectively, after subsampling by 2.The highpass and lowpass filters III.POWER QUALITY ANALYSIS USING are not independent of each other, and they are DISCRETE WAVELET TRANFORM related by: (DWT The DWT is considerably easier to g[ L  1  n]  (1) n .h[n]  (3.5) implement when compared to the CWT. The basic concepts of the DWT will be introduced in this However, if the filters are not ideal section along with its properties and the algorithms halfband, then perfect reconstruction cannot be used to compute it. As in the previous chapters, achieved. Although it is not possible to realize ideal examples are provided to aid in the interpretation of filters, under certain conditions it is possible to find the DWT. filters that provide perfect reconstruction. The most famous ones are the ones developed by Ingrid 3.1 Sub band coding Daubechies, and they are known as Daubechies’ In the discrete case, filters of different cut- wavelets. off frequencies are used to analyze the signal at different scales. The signal is passed through a series of high pass filters to analyze the high frequencies, and it is passed through a series of low 768 | P a g e
  • 4. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 IV.SIMULATION RESULTS AND OUTPUTS CA1 CD1 CA1 CD1 Fig 4.3 Extraction of coefficients for Impulse Transientsusing DWT Fig 4.1Extraction of coefficients for sag using DWT CA1 CD1 CA1 CD1 Fig 4.4Extraction of coefficients for Momentary Interruptions Fig 4.2 Extraction of coefficients for swell using DWT 769 | P a g e
  • 5. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 Table 4.1: Matlab Results for Sag Percentage Load First peak Of Sag (%) (MVAR) coefficients 10 0.44 2.075 20 0.98 3.514 30 1.64 4.5 40 2.55 6.2871 50 3.84 8.679 60 5.68 11.815 70 8.95 16.672 80 15.5 24.045 90 35.4 126.23 Fig 4.6: Simulation wave form withusing DVR Table 4.2: Matlab Results for Swell Percentage Of Load First peak Swell (%) (MVAR) coefficients 10 0.175 59.92 20 0.235 58.6 30 0.31 59.8 40 0.41 60.76 50 0.558 61.58 Fig 4.7: Simulation Full wave form withusing DVR 60 0.82 62.28 70 1.9 63.18 V. CONCLUSION The discrete wavelet transform termed as DWT is used in this project as powerful analysis tool Table 4.3: Matlab Results for Impulse Transients for monitoring , detecting and classification of power quality disturbances . The DWT gave the Load First peak First peak perfect time – frequency plot by which it became (MVAR) coefficient time (sec) easier to analyse the power quality disturbances 20 97.1816 0.1102 which has occurred in the power system network.The proposed method is simple and Table 4.4: Matlab Results for Momentary effective methodology for the detection and Interruptions classification of power quality disturbances. By applying the DWT to the distorted voltage signals of the disturbances, the DWT coefficients are extracted, Fault First peak First Peak in which the cD1 (Detail coefficients at level1) is Impedance coefficient time(sec) used to analyse the disturbance. The first peak of the (ohms) cD1 is taken for all the four PQ disturbances i.e., the 0.001 6.805 0.2002 magnitude of the first peak is taken and given as the input to the fuzzy classifier. A MATLAB program has been developed for the detection and classification of PQ disturbances where it gives the information about the time duration of the disturbance, magnitude of the coefficients (cD1) and classifies what kind of PQ disturbance has occurred. Several power quality disturbances such as voltage sag, voltage swell, impulse transients and momentary interruptions have been analysed and recognized using the Discrete Wavelet Transform(DWT). This paper has presented the power quality problems such as voltage sags, swells and Fig 4.5: Simulation wave formwithout using DVR interruptions and mitigation techniques of custom 770 | P a g e
  • 6. V. Usha Reddy, S. Deepika Chowdary / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 6, November- December 2012, pp.766-771 power electronic device DVR. The design and applications of DVR for voltage sag results are presented.A new PWM-based control scheme has been implemented to control the electronic valves in the two-level VSC used in the DVR. As opposed to fundamentalfrequency switching schemes already available in the MATLAB/ SIMULINK, this PWM control scheme only requires voltage measurements. The simulations carried out showed that the DVR provides relatively better voltage regulation capabilities. REFERENCES [1] T.Lachman, A.P.Memon, T.R.Mohomad, Z.A.Memon, “Detection of Power Quality Disturbances Using Wavelet Transform Technique”, International Journal For Science & Arts, Vol .1, No .1, 2010. [2] Penna, C., “Detection and Classification of Power Quality Disturbances Using the Wavelet Transform, M. Sc. Dissertation”, June 2000, University Federal deUberlandia, Brazil. [3] Gaouda, A. M., Salama, M. M. A., Sultan M. R., Chikhani, A. Y., “Power Quality Detection and Classification Using Wavelet- multiresolution Signal Decomposition”, IEEE Transactions on Power Delivery, Vol. 14, No. 4, pp. 1469- 1476, October 1999. [4] Surya Santoso, Edward J. Powers, W. Mack Grady, Peter Hofmann, “Power Quality Assessment via Wavelet Transform Analysis”, IEEE transactions on Power Delivery,Vol. 11, No.2, April 1996. [5] Ibrahim W.R.Anis and Morcos M.M., 2002. Artificial intelligence and advanced mathematical tools for power quality applications: a survey, IEEE Trans. on Power Delivery,vol. 17, pp. 668-673. [6] S.V Ravi Kumar, S. Siva Nagaraju “ Simulation of DVR and D-STATCOM in power systems”, APRN Journal of Engineering And Applied Sciences , vol.2, No 3 jun. 2007. [7] Haque, M.H., “Compensation of distribution system voltage sag by DVR and D-STATCOM”, Power Tech Proceedings, IEEE Porto, vol.1, pp.10-13, Sept. 2006. 771 | P a g e