Short-term load forecasting via ARMA model identification including non-Gaussian process considerations

IEEE Transactions on Power Systems

Volumn 18, Issue 2, 2003, Pages 673-679

  Huang, Shyh Jier ^a   Shih, Kuang Rong ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Bispectrum; Cumulant; Non Gaussian process; Short term load forecast

Indexed keywords

COMPUTER SIMULATION; FOURIER TRANSFORMS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; POLES AND ZEROS; RANDOM PROCESSES; REGRESSION ANALYSIS; SPECTRUM ANALYSIS; TIME SERIES ANALYSIS; TRANSFER FUNCTIONS;

AUTOCORRELATION FUNCTION; AUTOREGRESSIVE MOVING AVERAGE MODEL; BISPECTRUM METHOD; CUMULANT METHOD; NON-GAUSSIAN PROCESS CONSIDERATIONS; SHORT TERM LOAD FORECASTING;

ELECTRIC LOAD FORECASTING;

EID: 0037505508     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2003.811010     Document Type: Article

References (29)

1. W. Vandaele, Applied Time Series and Box-Jenkins Model. New York: Academic Press, 1983.
2. G. Gross and F. D. Galiana, "Short term load forecasting," Proc. IEEE, vol. 75, pp. 1558-1573, Dec. 1987.
3. K. G. Rajesh, "Expert systems: Their implications and applications for power systems," IEEE Potentials, vol. 16, no. 2, pp. 35-37, Apr./May 1997.
4. K. H. Kim, J. K. Park, K. J. Hwang, and S. H. Kim, "Implementation of hybrid short-term load forecasting system using artificial neural networks and fuzzy expert systems," IEEE Trans. Power Syst., vol. 10, pp. 1534-1539, Aug. 1995.
5. D. Srinivasan, T. S. Swee, C. S. Cheng, and E. K. Chan, "Parallel neural network-fuzzy expert system strategy for short-term load forecasting: System implementation and performance evaluation," IEEE Trans. Power Syst., vol. 14, pp. 1100-1106, Aug. 1999.
6. D. C. Park, M. A. El-Sharkawi, R. J. Marks II, L. E. Atlas, and M. J. Damborg, "Electric load forecasting using an artificial neural network," IEEE Trans. Power Syst., vol. 6, pp. 442-449, May 1991.
7. S. J. Huang and C. L. Huang, "Genetic-Based multi-layered perceptrons for taiwan power system short-term load forecasting," Int. J. Elect. Power Syst. Res., vol. 38, no. 3, pp. 69-74, July 1996.
8. W. Charytoniuk, M. S. Chen, and P. Van Olinda, "Nonparametric regression based short-term load forecasting," IEEE Trans. Power Syst., vol. 13, pp. 725-730, Aug. 1998.
9. H. Mori and K. Kosemura, "Optimal regression tree based rule discovery for short-term load forecasting," in IEEE Power Eng. Soc. Winter Meeting, Columbus, OH, Jan. 2001, pp. 421-426.
10. T. Haida and S. Muto, "Regression based peak load forecasting using a transformation technique," IEEE Trans. Power Syst., vol. 9, pp. 1788-1794, Nov. 1994.
11. W. Charytoniuk, M. Chen, and P. Olinda, "Nonparametric regression based short-term load forecasting," IEEE Trans. Power Syst., vol. 13, pp. 725-730, Aug. 1998.
12. A. A. El-Desouky and M. M. Elkateb, "Hybrid adaptive techniques for electric-load forecast using ANN and ARIMA," Proc. Inst. Elect. Eng.-Gen., Transm., Dist., vol. 147, no. 4, pp. 213-217, July 2000.
13. P. K. Dash, G. Ramakrishna, A. C. Liew, and S. Rahman, "Fuzzy neural networks for time-series forecasting of electric load," Proc. Inst. Elect. Eng.-Gen., Transm. Dist., vol. 142, pp. 535-544, Sept. 1995.
14. E. H. Barakat and J. M. Al-Qasem, "Methodology for weekly load forecasting," IEEE Trans. Power Syst., vol. 13, pp. 1548-1555, Nov. 1998.
15. N. Amjady, "Short-Term hourly load forecasting using time-series modeling with peak load estimation capability," IEEE Trans. Power Syst., vol. 16, pp. 798-805, Nov. 2001.
16. J. D. Cryer, Time Series Analysis. New York: Duxbury Press, 1986.
17. J. M. Mendel, "Tutorial on higher-order statistics in signal processing and system theory: Theoretical results and some applications," Proc. IEEE, vol. 79, pp. 278-305, Mar. 1991.
18. C. L. Nikias and J. M. Mendel, "Signal processing with higher-order spectra," IEEE Signal Processing Mag., pp. 10-37, July 1991.
19. M. J. Hinch, "Testing for gaussianity and linearity of a stationary time series," J. Time Series Analysis, vol. 3, no. 3, pp. 169-176, 1982.
20. J. K. Tugnait, "Testing for linearity of noisy stationary signals," IEEE Trans. Signal Processing, vol. 42, pp. 2747-2748, July 1989.
21. G. B. Giannakis and J. M. Mendel, "Identification of nonminimum phase systems using higher order statistics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 3, pp. 360-377, Mar. 1989.
22. M. J. Hinch and G. R. Wilson, "Detection of nongaussian signals in nongaussian noise using the bispectrum," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1126-1131, July 1989.
23. A. Swami and J. M. Mendel, "ARMA parameter estimation using only output cumulants," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1257-1265, July 1990.
24. A. Al-Smadi and D. Mitchell Wilkes, "Robust and accurate ARX and ARMA model order estimation of nongaussian processes," IEEE Trans. Signal Processing, vol. 50, pp. 759-763, Mar. 2002.
25. A. M. Zoubir and D. R. Iskander, "A bispectrum based gaussianity test using the bootstrap," in Proc. IEEE Int. Conf. Acoust., Speech, and Signal Processing, Atlanta, GA, May 1996, pp. 3029-3032.
26. D. Aboutajdine, A. Adib, and A. Meziane, "Fast adaptive algorithm for AR parameters estimation using higher order statistics," IEEE Signal Processing Magazine, vol. 44. no. 8, pp. 1998-2009, August 1996.
27. X. D. Zhang and Y. S. Zhang, "Singular value decomposition-based MA order determination of nongaussian ARMA models," IEEE Trans. Signal Processing, vol. 41, pp. 2657-2664, Aug. 1993.
28. J. R. Dickie, "AR modeling of skewed signals using third-order cumulants," Proc. Inst. Elect. Eng.-Visual Image Signal Processing, vol. 142, no. 2, pp. 78-86, Apr. 1995.
29. S. A. Alshebeili, "Order determination of MA models using fourth-order cumulants," IEEE Signal Processing Lett., vol. 2, pp. 120-122, June 1995.