Detecting precursor patterns for frequency fluctuation in an electrical grid

Precursor pattern identification addresses the problem of detecting warning signals in data that herald an impending event of extraordinary interest. In the context of electrical power systems, identifying precursors to fluctuations in power generation in advance would enable engineers to put in place measures that mitigate against the effects of such fluctuations. In this research we use the Morlet wavelet to transform a time series defined on electrical power generation frequency which was sampled at intervals of 30 seconds to identify potential precursor patterns. The power spectrum that results is then used to select high coefficient regions that capture a large faction of the energy in the spectrum. We then subjected the high coefficient regions together with a contrasting low coefficient region to a non-parametric ANOVA test and our results indicate that one high coefficient region dominates by predicting an overwhelming percentage of the variation that occurs during the subsequent fluctuation event. These results suggest that the wavelet is an effective mechanism to identify precursor activity in electricity time series data.

[1]  A. V. Meier Electric power systems : a conceptual introduction , 2006 .

[2]  Konstantinos Karamanos,et al.  Extracting preseismic electromagnetic signatures in terms of symbolic dynamics , 2005 .

[3]  Holger Kantz,et al.  Precursors of extreme increments. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  V. Lapenna,et al.  Parametric time series analysis of geoelectrical signals: an application to earthquake forecasting in Southern Italy , 1996 .

[5]  Wei Wu Extracting signal frequency information in time/frequency domain by means of continuous wavelet transform , 2007, 2007 International Conference on Control, Automation and Systems.

[6]  Study of Seismic Precursors by Wavelet Analysis , 2012 .

[7]  T. Higuchi,et al.  Detecting precursory events in time series data by an extension of singular spectrum transformation , 2010 .

[8]  O. J. Dunn Multiple Comparisons Using Rank Sums , 1964 .

[9]  Asok Ray,et al.  Failure precursor detection in complex electrical systems using symbolic dynamics , 2008 .

[10]  Gregory W. Corder,et al.  Nonparametric Statistics for Non-Statisticians: A Step-by-Step Approach , 2009 .

[11]  Han-Ming Huang,et al.  Investigation into the automatic recognition of time series precursor of earthquakes , 1998 .

[12]  Wavelet transform as a tool for detection of geomagnetic precursors of earthquakes , 1998 .

[13]  V. Moskvina,et al.  An Algorithm Based on Singular Spectrum Analysis for Change-Point Detection , 2003 .

[14]  John D. Spurrier,et al.  On the null distribution of the Kruskal–Wallis statistic , 2003 .

[15]  Joe Kazuki,et al.  Detecting Seismic Electric Signals by LVQ Based Clustering , 2001 .

[16]  Yukio Ohsawa,et al.  Keygraph as Risk Explorer in Earthquake-Sequence , 2002 .

[17]  V. Zheludev,et al.  Use of wavelet analysis for detection of seismogenic ULF emissions , 2003 .

[18]  John Ashmead Morlet wavelets in quantum mechanics , 2012 .