Transcript
Page 1: S-Transform,Empirical Wavelet Transform,Limitation of S-Transform,

Power Quality

• Determines fitness of electrical power to consumer devices

• Complexity in transferring the electric energy from point of generation to consumer premises

• Factors such changing demand, varying weather, various non linear devices, switch, and circuit breaker operation etc

• Fluctuation in frequency, amplitude and phase of voltage signal

• May lead to failure of sophisticated devices/equipment

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Common Source of Disturbances

• Switched mode power supply• Television, Computer• Mobile Charger• Fluorescent lamp with electronic balast• Energy Saving Bulbs • Welding Equipment• Light Dimmers• Variable Speed Drives• Variable Frequency Drives• Power Converters• Thyristor control for heating and ovens• Static VAR Compensator

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Power System DisturbancesVarious disturbances as per IEEE standards encountered in power system

1. Voltage Sag

2. Voltage Swell

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Cont…..3. Voltage Interruption

4. Voltage Fluctuation(Flicker)

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Cont…5. Harmonics

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Cont….6. Notch

7. Noise

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Cont….8. Transientsa) Impulsive

b) Oscillatory

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Short Time Fourier Transform - 1970

Hilbert Huang Transform - 1998

Gabor Transform - 1946

Methods Available For Signal Analysis

Q1 Q2 Q3

Q4

Discrete Wavelet Transform – 1980s

Wavelet Packet Transform

Kalman Filter

Wigner Ville Distribution - 1980

S-Transform - 1996

Empirical Wavelet Transform - 2013

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INTRODUCTION TO S-TRANSFORM(1996)

)2||(*)).((),( 22

22 ffj efethfS

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Cont…

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WHY S-TRANSFORM

Better time-frequency distribution of signal and better frequency detection From its time-frequency matrix instantaneous variation of every frequency

component of signal can be detected

Instantaneous Phase of every sinusoid can detected using time-frequency matrix

FFT is used in finding time-frequency matrix making it fast

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S-Transform

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Short Time Fourier Transform

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Discrete Wavelet Transform

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Wigner-Ville Distribution

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SimulationVoltage sag

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Cont…..Voltage swell

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Cont..

Interrupt

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Cont….Transient

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Cont…Harmonics

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Cont…Flicker

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Limitation

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Cont..

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Cont…

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Empirical Wavelet Transform(2013)

FFT• FFT of signal

Maxima

• Detecting maxima in FT of signal using thresolding and frequency distancing

Boundaries• Boundaries for wavelet filters

iFFT• iFFT{(Wavelet filter in frequency )*FFT}

Individual F component

• Desired frequency component of signal

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Cont..

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Future Work

• Further reading on Empirical Wavelet Transform

• Develop code of Empirical Wavelet Transform

• Compare the results with S-Transform results

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References

Caramia,P., Carpinelli, G., Verde, P. “Power quality indices in liberalized markets,” John Wiley & Sons Publication, 2009, 1st edn.

IEEE Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE Standard 519-1992, Apr. 1993

IEEE Recommended Practice for Monitoring Electric Power Quality, IEEE Std. 1159-2009 M. Bollen and I. Yu-Huaa Gu, Signal Processing of Power Quality Disturbances, New Jersey, Wiley,

2006. Estimation of time-varying power quality indices with an adaptive window-based fast generalised S-

transform by M. Biswal and P.K. Das Yong-June Shin, Member, IEEE, Edward J. Powers, Life Fellow, IEEE, Mack Grady, Fellow, IEEE, andAri

Arapostathis, Senior Member, IEEE ”Power Quality Indices for Transient Disturbances”

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THANK YOU


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