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    3/13/2012 1EEE Dept: 'VJIT' Hyderabad

    Power Disturbance Classification

    Using

    Wavelet- Based Classifier

    EEE(Electrical &Electronic Eng)

    Presented by

    G.Santhosh09915A0208

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    OUTLINE

    Objectives

    Introduction

    FFT analysis

    Wavelet transform

    Simulink diagram and waveformsStatus Of Work

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    AIM OF THE PROJECT

    This paper proposed a wavelet-based classifier for power

    quality disturbance recognition.

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    Intorduction

    Power system is defined as a network of one or moregenerating units, loads and power transmission lines

    including the associated equipments connected to it.

    The stability of a power system is its ability to developrestoring forces equal to or greater than the disturbing forces

    to maintain the state of equilibrium.

    Power system stability problem gets more pronounced incase of interconnection of large power networks.

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    Power quality has became a significant issue to both

    costumer and utility companies since these equipment arevery sensitive in relation to input voltage disturbance results

    in malfunction and damaging bringing huge losses .

    Most common power quality problem is the currentharmonics which might damage and malfunction the sensitive

    equipment most severe one is voltage sag which produces

    equipment tripping and dropping out for industrial plant.

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    Power Quality Problems

    1.Short term faults

    2.Long term faults

    Short term faults:-

    I. Voltage sag

    II. Voltage swell

    III. Voltage fluctuation

    IV. Voltage spike

    I. Voltage unbalance

    II. Harmonic distortion

    III. Long interruptionsIV. noise

    Long term faults:-

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    WHAT IS TRANSFORM?

    Transform of a signal is just another form of representing thesignal. It does not change the information content present.

    WHY TRANSFORM?

    Mathematical transform are applied to signal to obtain further

    information which is not present in raw signal

    Three different transforms

    FOURIER TRANSFORM

    SHORT TIME FOURIER TRANSFORM

    WAVELET TRANSFORM

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    Fast Fourier TransformThe FFT is a highly efficient procedure for computing the DFT of

    a definite series and requires less number of computations then

    that of direct evaluation of DFT.

    We know that the Fourier transformof discrete transform x(k) isgiven by

    Fourier Transform of a time domain signal gives frequency

    domain representation.

    FOURIER TRANSFORM:

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    LIMITATION OF FOURIER TRANSFORM:

    When we are in time domain Fourier transform will not give informationregarding frequency and when we are in frequency domain it will not provideinformation regarding time.

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    Different in TimeDomain

    Same in FrequencyDomain

    At what time the frequencycomponents occur? FT can not tell!

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    Simulink diagram

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    LG fault voltage waveforms

    Phase-a

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    Phase-b

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    Phase-c

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    Harmonic distortion

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    Wavelet Introduction

    Earlier digital relays have proven very useful and efficientin power system steady state analysis. Fourier transforms

    etc.

    Due to the presence of non stationary signals the

    performance of these techniques are limited.

    Recent solution to this problem is WAVELET TRANSFORM

    which was introduced by F.JIANG.

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    Demonstration of wave

    A wave is an oscillating function of time or space an

    is periodic

    Wavelet A small wave

    Means the window function is of finite length

    Wave

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    Significance of wavelet transform

    It has the capability of providing accurate transient information in both

    time and frequency domain.

    It has a special feature of variable time frequency localization which is

    very different from windowed Fourier transform.

    It is applied to decompose the current signal. The time and frequency

    domain features of transient signals are extracted the spectral energies

    of wavelet components are calculated and then employed to detect and

    classify the faults.

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    For a signal or function X(t) its continuous wavelet transform (CWT)IS

    Continuous wavelet transform

    Where a = scaling parameter

    b = translation parameter

    Zi = mother wavelet function

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    For a signal or function X(k) its discrete wavelet transform

    (DWT) is

    Whereasterisk denotes a complex conjugate,

    the parameters a and b in Eq.( 1) are replaced bydigitized parameters,

    also k and m are scale and time-shift parameters.

    discrete wavelet transform

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    Multi Resolution Analysis

    Gives good time resolution and poor frequencyresolution at high frequencies and good frequency

    resolution and poor time resolution at low frequencies

    This helps as most natural signals have low frequencycontent spread over long duration and high frequency

    content for short durations

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    Implementation of DWT using filter banks.

    SUB BAND CODING

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    Ideal sine wave

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    For 10% at sag

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    For 90% at sag

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    For HARMONICS

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    CONCLUSION

    Fourier transform provided information regarding

    frequency.

    So, wavelet transform is preferred over Fourier transform

    and short time Fourier transform since it provided multi

    resolution.

    Since the time and frequency resolutions can be achieved together

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    References:-

    1.M. Brent Hughes, John S. Chan. and Don 0. Koval." Disuibution Customer Power QualityExperience," EEE Trans. on Industry Applications. Vol. 29. No. 6. NavembedDecember 1993, pp. 1204-

    1211. I. M. Brent Hughes, John S. Chan. and Don 0. Koval." Disuibution Customer Power QualityExperience," EEE Trans. on Industry Applications. Vol. 29. No. 6. NavembedDecember 1993, pp. 1204-

    1211.

    2. Ench W. Gunther and Harshad Mehta, '' A Suvey of DistributionSystem Power Quality - PreliminaryResults, IEEE Trans. an Power Delivery, Vol. IO, No.1, January 1995. pp. 322-329.

    3. S. Santoso, E. J Powers, W. M Grady. P. Hofmnn, Power Quality Assessment via Wavelet Transform

    Analysis, IEEE Trans. on Power Delivery Vol. I I. No. 2. Apr.1996, pp.924-930.

    4. T.B. Littler, D.J. MOTTOW, Wavelrts for the Analysis and Compression of Power SystemDisturbances. IEEE Trans. an Power Delivery, Vol. 14. No. 2, April 1999, pp. 358-364.

    5. 0. Poisson, P. Rioual and M. Meunier, New Signal Processing Tools Applied to Pawer Quality

    analysis. IEEE Trans. an Power Delivery, Vol. 14,No. 2,April 1999, pp. 561-566.

    6. Heydt, P.S. Fjeld, C.C. Liu. D. Pierce. L. Tu, and G Hensley. Applications of the Windowed FFT to

    Electric Power Quality Assessment, IEEE Trans. on Power Delivery, Vol. 14. No. 4, October 1999. pp.

    1411-1416.7. G. T. Heydt. A. W. Calli. Transient Power Quality Problem Analyzed Using Wavelets, IEEE Trans.

    on Power Delivery, Vol. 12, No. 2, April 1997

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    THANK YOU