A Clustering-Based Fuzzy Wavelet Neural Network Model for Short-Term Load Forecasting

Load forecasting is a critical element of power system operation, involving prediction of the future level of demand to serve as the basis for supply and demand planning. This paper presents the development of a novel clustering-based fuzzy wavelet neural network (CB-FWNN) model and validates its prediction on the short-term electric load forecasting of the Power System of the Greek Island of Crete. The proposed model is obtained from the traditional Takagi-Sugeno-Kang fuzzy system by replacing the THEN part of fuzzy rules with a "multiplication" wavelet neural network (MWNN). Multidimensional Gaussian type of activation functions have been used in the IF part of the fuzzyrules. A Fuzzy Subtractive Clustering scheme is employed as a pre-processing technique to find out the initial set and adequate number of clusters and ultimately the number of multiplication nodes in MWNN, while Gaussian Mixture Models with the Expectation Maximization algorithm are utilized for the definition of the multidimensional Gaussians. The results corresponding to the minimum and maximum power load indicate that the proposed load forecasting model provides significantly accurate forecasts, compared to conventional neural networks models.

[1]  Haralambos Sarimveis,et al.  A fast training algorithm for RBF networks based on subtractive clustering , 2003, Neurocomputing.

[2]  John N. Lygouras,et al.  Identification of the Listeria monocytogenes survival curves in UHT whole milk utilising local linear wavelet neural networks , 2012, Expert Syst. Appl..

[3]  Vassilis S. Kodogiannis,et al.  Load forecasting using fuzzy wavelet neural networks , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[4]  P. Mastorocostas,et al.  Fuzzy modeling for short term load forecasting using the orthogonal least squares method , 1999 .

[5]  Cheng-Jian Lin,et al.  Identification and prediction using recurrent compensatory neuro-fuzzy systems , 2005, Fuzzy Sets Syst..

[6]  W. Yoo,et al.  Multivariable TS fuzzy model identification based on mixture of Gaussians , 2007, 2007 International Conference on Control, Automation and Systems.

[7]  Mahdi Amina,et al.  Dynamic non-linear system modelling using wavelet-based soft computing techniques , 2011 .

[8]  Danuta Rutkowska,et al.  Neuro-Fuzzy Architectures and Hybrid Learning , 2002, Studies in Fuzziness and Soft Computing.

[9]  Chun-Fei Hsu,et al.  Adaptive fuzzy wavelet neural controller design for chaos synchronization , 2011, Expert Syst. Appl..

[10]  Rahib Hidayat Abiyev,et al.  Fuzzy wavelet neural network based on fuzzy clustering and gradient techniques for time series prediction , 2011, Neural Computing and Applications.

[11]  E. M. Anagnostakis,et al.  A study of advanced learning algorithms for short-term load forecasting , 1999 .

[12]  M. Amina,et al.  Wavelet neural networks for modelling high pressure inactivation kinetics of Listeria monocytogenes in UHT whole milk , 2010 .

[13]  Hojjat Adeli,et al.  Fractality and a Wavelet-Chaos-Neural Network Methodology for EEG-Based Diagnosis of Autistic Spectrum Disorder , 2010, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[14]  Panida Jirutitijaroen,et al.  Short-term load forecasting using time series analysis: A case study for Singapore , 2010, 2010 IEEE Conference on Cybernetics and Intelligent Systems.

[15]  Bogdan Codres,et al.  Nonlinear System Identification and Control Based on Modular Neural Networks , 2011, Int. J. Neural Syst..

[16]  Ferenc Szeifert,et al.  Modified Gath-Geva fuzzy clustering for identification of Takagi-Sugeno fuzzy models , 2002, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Sun-Yuan Kung,et al.  Biometric Authentication: A Machine Learning Approach , 2004 .

[18]  Hojjat Adeli,et al.  Dynamic Wavelet Neural Network Model for Traffic Flow Forecasting , 2005 .

[19]  Liang Tian,et al.  A novel approach for short-term load forecasting using support vector machines , 2004, Int. J. Neural Syst..

[20]  O. Nelles Nonlinear System Identification , 2001 .

[21]  H. Adeli,et al.  Dynamic Fuzzy Wavelet Neural Network Model for Structural System Identification , 2006 .

[22]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[23]  Okyay Kaynak,et al.  Identification and Control of Dynamic Plants Using Fuzzy Wavelet Neural Networks , 2008, 2008 IEEE International Symposium on Intelligent Control.

[24]  Hong-Tzer Yang,et al.  Evolving wavelet-based networks for short-term load forecasting , 2001 .

[25]  János Abonyi,et al.  Fuzzy Model Identification for Control , 2003 .

[26]  R. Jabr,et al.  Statistical Representation of Distribution System Loads Using Gaussian Mixture Model , 2010 .

[27]  Christian Borgelt,et al.  Shape and Size Regularization in Expectation Maximization and Fuzzy Clustering , 2004, PKDD.

[28]  K. Bataineh,et al.  A Comparison Study between Various Fuzzy Clustering Algorithms , 2011 .

[29]  T Adali,et al.  A weighted least‐squares algorithm for estimation and visualization of relative latencies in event‐related functional MRI , 2000, Magnetic resonance in medicine.

[30]  Vassilis S. Kodogiannis,et al.  The use of gas-sensor arrays to diagnose urinary tract infections , 2005, Int. J. Neural Syst..

[31]  Sundaram Suresh,et al.  Human action recognition using Meta-Cognitive Neuro-Fuzzy Inference System , 2012, IJCNN.

[32]  Chih-Min Lin,et al.  Adaptive Control for MIMO uncertain nonlinear Systems Using Recurrent Wavelet Neural Network , 2012, Int. J. Neural Syst..

[33]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[34]  Ramesh A. Gopinath,et al.  Wavelets and Wavelet Transforms , 1998 .

[35]  Marc M. Van Hulle,et al.  Enhancing the Yield of High-Density electrode Arrays through Automated electrode Selection , 2012, Int. J. Neural Syst..

[36]  Meng Joo Er,et al.  A Novel Efficient Learning Algorithm for Self-Generating Fuzzy Neural Network with Applications , 2012, Int. J. Neural Syst..

[37]  Zhihua Cui,et al.  A hybrid approach for short term electricity price and load forecasting , 2011, 2011 International Conference on Energy, Automation and Signal.

[38]  S. Heunis,et al.  A Probabilistic Model for Residential Consumer Loads , 2002, IEEE Power Engineering Review.

[39]  W. C. Beattie,et al.  Statistical electricity demand modelling from consumer billing data , 1986 .

[40]  S. Chowdhury,et al.  Application of Adaptive Neuro Fuzzy Inference System (ANFIS) based short term load forecasting in South African power networks , 2010, 45th International Universities Power Engineering Conference UPEC2010.

[41]  R. Redner,et al.  Mixture densities, maximum likelihood, and the EM algorithm , 1984 .

[42]  Hojjat Adeli,et al.  Dynamic Wavelet Neural Network for Nonlinear Identification of Highrise Buildings , 2005 .

[43]  Αλέξανδρος Π. Αλεξανδρίδης,et al.  A fast training algorithm for RBF networks based on subtractive clustering , 2015 .

[44]  Jian Wang,et al.  Short, medium and long term load forecasting model and virtual load forecaster based on radial basis function neural networks , 2010 .

[45]  Yusuf Oysal,et al.  Fuzzy Wavelet Neural Network Models for Prediction and Identification of Dynamical Systems , 2010, IEEE Transactions on Neural Networks.

[46]  A. Prudenzi,et al.  Short-term forecasting of municipal load through a Kalman filtering based approach , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[47]  Shyh-Jier Huang,et al.  Short-term load forecasting via ARMA model identification including non-Gaussian process considerations , 2003 .