A Simple Hybrid Model for Short-Term Load Forecasting

The paper proposes a simple hybrid model to forecast the electrical load data based on the wavelet transform technique and double exponential smoothing. The historical noisy load series data is decomposed into deterministic and fluctuation components using suitable wavelet coefficient thresholds and wavelet reconstruction method. The variation characteristics of the resulting series are analyzed to arrive at reasonable thresholds that yield good denoising results. The constitutive series are then forecasted using appropriate exponential adaptive smoothing models. A case study performed on California energy market data demonstrates that the proposed method can offer high forecasting precision for very short-term forecasts, considering a time horizon of two weeks.

[1]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .

[2]  T. S. Chung,et al.  Application of an innovative combined forecasting method in power system load forecasting , 2001 .

[3]  S. Mallat A wavelet tour of signal processing , 1998 .

[4]  Dong Wang,et al.  Entropy-Based Wavelet De-noising Method for Time Series Analysis , 2009, Entropy.

[5]  P.S. Addison,et al.  Time--frequency analysis of biosignals , 2009, IEEE Engineering in Medicine and Biology Magazine.

[6]  J. Valenzuela,et al.  A stochastic load model for an electricity market , 2006 .

[7]  T. Funabashi,et al.  One-Hour-Ahead Load Forecasting Using Neural Networks , 2002 .

[8]  Kwang-Ho Kim,et al.  Implementation of hybrid short-term load forecasting system using artificial neural networks and fuzzy expert systems , 1995 .

[9]  Lijuan Cao,et al.  Support vector machines experts for time series forecasting , 2003, Neurocomputing.

[10]  Dong Wang,et al.  The relation between periods’ identification and noises in hydrologic series data , 2009 .

[11]  E. S. Gardner EXPONENTIAL SMOOTHING: THE STATE OF THE ART, PART II , 2006 .

[12]  A. A. El-Keib,et al.  Advancement of statistical based modeling techniques for short-term load forecasting , 1995 .

[13]  Y. Shimakura,et al.  Short-term load forecasting using an artificial neural network , 1993, [1993] Proceedings of the Second International Forum on Applications of Neural Networks to Power Systems.

[14]  Luis A. Aguirre,et al.  Dynamical prediction and pattern mapping in short-term load forecasting , 2008 .

[15]  M. M. Elkateb,et al.  Hybrid adaptive techniques for electric-load forecast using ANN and ARIMA , 2000 .

[16]  Agnaldo J. R. Reis,et al.  Feature extraction via multiresolution analysis for short-term load forecasting , 2005, IEEE Transactions on Power Systems.

[17]  Tai Nengling,et al.  Techniques of applying wavelet transform into combined model for short-term load forecasting , 2006 .

[18]  Saifur Rahman,et al.  Analysis and Evaluation of Five Short-Term Load Forecasting Techniques , 1989, IEEE Power Engineering Review.

[19]  Carl Taswell,et al.  The what, how, and why of wavelet shrinkage denoising , 2000, Comput. Sci. Eng..

[20]  S. Huang,et al.  Short-term load forecasting using threshold autoregressive models , 1997 .

[21]  Fionn Murtagh,et al.  Wavelet-based nonlinear multiscale decomposition model for electricity load forecasting , 2006, Neurocomputing.

[22]  Rob J. Hyndman,et al.  Exponential smoothing models: Means and variances for lead-time demand , 2004, Eur. J. Oper. Res..

[23]  Carlos E. Pedreira,et al.  Neural networks for short-term load forecasting: a review and evaluation , 2001 .

[24]  R. Gencay,et al.  An Introduction to Wavelets and Other Filtering Methods in Finance and Economics , 2001 .

[25]  Adhemar Bultheel,et al.  Asymptotic behavior of the minimum mean squared error threshold for noisy wavelet coefficients of piecewise smooth signals , 2001, IEEE Trans. Signal Process..

[26]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[27]  Jianjun Wang,et al.  An annual load forecasting model based on support vector regression with differential evolution algorithm , 2012 .

[28]  W. Charytoniuk,et al.  Neural network based demand forecasting in a deregulated environment , 1999, 1999 IEEE Industrial and Commercial Power Systems Technical Conference (Cat. No.99CH36371).

[29]  Chia-Nan Ko,et al.  Short-term load forecasting using lifting scheme and ARIMA models , 2011, Expert Syst. Appl..

[30]  In-Keun Yu,et al.  Kohonen neural network and wavelet transform based approach to short-term load forecasting , 2002 .

[31]  A. Girgis,et al.  A hybrid wavelet-Kalman filter method for load forecasting , 2000 .

[32]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..