Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30848
Fractal Patterns for Power Quality Detection Using Color Relational Analysis Based Classifier

Authors: Chia-Hung Lin, Mei-Sung Kang, Cong-Hui Huang, Chao-Lin Kuo


This paper proposes fractal patterns for power quality (PQ) detection using color relational analysis (CRA) based classifier. Iterated function system (IFS) uses the non-linear interpolation in the map and uses similarity maps to construct various fractal patterns of power quality disturbances, including harmonics, voltage sag, voltage swell, voltage sag involving harmonics, voltage swell involving harmonics, and voltage interruption. The non-linear interpolation functions (NIFs) with fractal dimension (FD) make fractal patterns more distinguishing between normal and abnormal voltage signals. The classifier based on CRA discriminates the disturbance events in a power system. Compared with the wavelet neural networks, the test results will show accurate discrimination, good robustness, and faster processing time for detecting disturbing events.

Keywords: power quality (PQ), Color Relational Analysis(CRA), Iterated Function System (IFS), Non-linear InterpolationFunction (NIF), Fractal Dimension (FD)

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1295


[1] IEEE Recommended Practices for Monitoring Electric Power Quality ANSI/IEEE Std. 1159-1995.
[2] Kwan, T. and Martin, K., "Adaptive Detection and Enhancement of Multiple Sinusoids Using a Cascade of IIR Filters, "IEEE Trans., 1989, CAS-36, pp. 936-947.
[3] E. O. Brigham, "The Fast Fourier Transform, "Englewood Cliffs, NJ: Prentice-Hall, 1990.
[4] P. Pillay and A. Bhattacharjee, "Application of Wavelet to Model Short-Term Power System Disturbances, "IEEE Trans. on Power System, Vol. 1, No. 4, November 1996, pp. 2031-2037.
[5] L. Angrisani, P. Daponte, M. D- Apuzzo, and A. Testa, "A Measurement Method Based on the Wavelet Transform for Power Quality Analysis, "IEEE Trans. on Power Delivery, Vol. 13, No. 4, October 1998, pp. 990-998.
[6] S. Santoso, E. J. Powers, and W. M. Grady, "Power Quality Disturbance Identification Using Wavelet Transforms and Artificial Neural Networks, "Proc. of the 1996 IEEE Int. Conf. on Harmonics and Quality of Power, Las Vegas, NV, USA, October 16-18 1996, pp. 615-618.
[7] Leopoldo Angrisani, Pasquale Daponte, and Massimo D- Apuzzo, "Wavelet Network-Based Detection and Classification of Transients, "IEEE Trans. on Instrumentation and Measurement, Vol. 50, No. 5, October 2001, pp. 1425-1435.
[8] Shyh-Jier Huang, tasi-Ming Yang, and Jiann-Tseng Huang, "FPGA Realization of Wavelet Transform for Detection of Electric Power System Disturbances, "IEEE Transactions on Power Delivery, Vol. 17, No. 2, April 2002, pp. 388-394.
[9] Chia-Hung Lin and Ming-Chieh Tsao, "Power Quality Detection with Classification Enhancible Wavelet-Probabilistic Network in a Power System, "IEE Proceedings-Generation, Transmission, and Distribution, Vol. 152, No. 6, November 2005, pp. 969-976.
[10] Chia-Hung Lin and Chia-Hao Wang, "Adaptive Wavelet Networks for Power Quality Detection and Discrimination in a Power System, "IEEE Transactions on Power Delivery, Vol. 21, No. 3, July 2006, pp. 1106- 1113.
[11] Michael Barnsley, "Fractal Functions and Interpolation, "Constructive Approximation, 2:303-329, 1986.
[12] M. E. Kirlangic, D. Perez, S. Kudryavtseva, G. Griessbach, G. Henning, G. Ivanova, "Fractal Dimension as a Feature for Adaptive Electroencephalogram Segment in Epilepsy, "2001 Proceedings of the 23rd Annual EMBS International Conference, October 25-28, Istanbul, Turkey, pp. 1573-1576.
[13] D. S. Mazel and M. H. Hayes, "Using Iterated Function Systems to Model Discrete Sequences, "IEEE Transaction on Signal Processing, Vol. 40, No. 7, July 1992, pp. 1724-1734.
[14] Greg Vines and Monson H. Hayes, III, "Nonlinear Address Maps in a One-Dimensional fractal Model, "IEEE Transactions on Signal Processing, Vol. 41, No. 4, April 1993, pp. 1721-1724.
[15] Rosana Esteller, George Vachtsevanos, Javier Echauz, and Brian Litt, "A Comparison of Waveform Fractal Dimension Algorithm, "IEEE Transactions on Circuits and Systems Fundamental Theory and Applications, Vol. 48, No. 2, February 2001, pp. 177-183.
[16] Chia-Hung Lin, Yi-Chun Du, and Tainsong Chen, "Nonlinear Interpolation Fractal Classifier for Multiple Cardiac Arrhythmias Recognition, "Chaos, Solitons, & Fractals Applications in Science and Engineering, Vol. 42, No. 4, 30 November 2009, pp. 2570-2581.
[17] Chia-Hung Lin, "Classification Enhancible Grey Relational Analysis for Cardiac Arrhythmias Discrimination, "Medical & Biological Engineering & Computing, Vol. 44, No. 4, April 2006, pp. 311-320.
[18] Donald Hearn and M. Pauline Baker, "Computer Graphics, "Prentice Hall International, 1986, ISBN 0-13-165598-1.
[19] Rafael C. Gonzales and Richard E. Woods, "Digital Image Processing, "Prentice Hall Press, 2002, ISBN 0-201-18075-8.
[20] Y.H. Yan, C.S. Chen, C.S. Moo, and C.T. Hsu, "Harmonic Analysis for Industrial Customer, " IEEE Transactions on Power Delivery, Vol. 30, No.2, March/April 1994, pp. 462-468.