Big multi-step wind speed forecasting model based on secondary decomposition, ensemble method and error correction algorithm

Abstract Wind power is one of the most promising powers. Wind speed forecasting can eliminate the harmful effect caused by the intermittent and fluctuation of wind power, and big multi-step forecasting can provide more time for the power grid to be adjusted. To achieve the high-precision big multi-step forecasting, a novel hybrid model named as the WD-SampEn-VMD-MadaBoost-BFGS-WF is proposed in the study, which consisting of three main modeling steps including the secondary decomposition, the ensemble method and the error correction. The detail of the proposed model is given as follows: (a) wind speed series are decomposed by the WD (Wavelet Decomposition) to obtain wind speed subseries. The SampEn (Sample Entropy) algorithm is used to estimate the unpredictability of these wind speed subseries. The most unpredictable subseries will be decomposed secondarily by the VMD (Variational Mode Decomposition); (b) the subseries are proceeded by the MAdaBoost (Modified AdaBoost.RT) with the BFGS (Broyden–Fletcher–Goldfarb–Shanno Quasi-Newton Back Propagation) neuron network to obtain forecasting subseries; (c) all of the forecasting subseries will be combined with the original subseries to form the combined wind speed series, which will be further proceeded by the WF (Wavelet Filter) to obtain the corrected forecasting series from the point of the frequency domain; (d) the corrected forecasting series are reconstructed to get the final forecasting series. To validate the effectiveness of the proposed model, several forecasting cases are provided in the study. The result indicates that the proposed model has satisfactory forecasting performance in the big multi-step extremely strong simulating wind speed forecasting.

[1]  F. Cassola,et al.  Wind speed and wind energy forecast through Kalman filtering of Numerical Weather Prediction model output , 2012 .

[2]  Chen Wang,et al.  Research and application of a combined model based on multi-objective optimization for multi-step ahead wind speed forecasting , 2017 .

[3]  Raúl Alcaraz,et al.  A review on sample entropy applications for the non-invasive analysis of atrial fibrillation electrocardiograms , 2010, Biomed. Signal Process. Control..

[4]  Rusli,et al.  Feedforward Neural Network Trained by BFGS Algorithm for Modeling Plasma Etching of Silicon Carbide , 2010, IEEE Transactions on Plasma Science.

[5]  Yoav Freund,et al.  A decision-theoretic generalization of on-line learning and an application to boosting , 1997, EuroCOLT.

[6]  Ajit Achuthan,et al.  Recursive wind speed forecasting based on Hammerstein Auto-Regressive model , 2015 .

[7]  Yongqian Liu,et al.  Short-Term Wind-Power Prediction Based on Wavelet Transform–Support Vector Machine and Statistic-Characteristics Analysis , 2012, IEEE Transactions on Industry Applications.

[8]  Harris Drucker,et al.  Improving Regressors using Boosting Techniques , 1997, ICML.

[9]  Qingli Dong,et al.  A novel forecasting model based on a hybrid processing strategy and an optimized local linear fuzzy neural network to make wind power forecasting: A case study of wind farms in China , 2017 .

[10]  Dominique Zosso,et al.  Variational Mode Decomposition , 2014, IEEE Transactions on Signal Processing.

[11]  Men-Tzung Lo,et al.  Empirical mode decomposition based detrended sample entropy in electroencephalography for Alzheimer's disease , 2012, Journal of Neuroscience Methods.

[12]  Jianzhou Wang,et al.  Application of residual modification approach in seasonal ARIMA for electricity demand forecasting: A case study of China , 2012 .

[13]  Yun Wang,et al.  A hybrid wind speed forecasting model based on phase space reconstruction theory and Markov model: A case study of wind farms in northwest China , 2015 .

[14]  Yan Jiang,et al.  Short-term wind speed prediction: Hybrid of ensemble empirical mode decomposition, feature selection and error correction , 2017 .

[15]  Steven M. Pincus Assessing Serial Irregularity and Its Implications for Health , 2001, Annals of the New York Academy of Sciences.

[16]  Durga L. Shrestha,et al.  Experiments with AdaBoost.RT, an Improved Boosting Scheme for Regression , 2006, Neural Computation.

[17]  Hui Liu,et al.  Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction , 2012 .

[18]  Bo-Suk Yang,et al.  Intelligent prognostics for battery health monitoring based on sample entropy , 2011, Expert Syst. Appl..

[19]  Yanxue Wang,et al.  Research on variational mode decomposition and its application in detecting rub-impact fault of the rotor system , 2015 .

[20]  Jing Shi,et al.  On comparing three artificial neural networks for wind speed forecasting , 2010 .

[21]  Jianzhou Wang,et al.  Analysis and application of forecasting models in wind power integration: A review of multi-step-ahead wind speed forecasting models , 2016 .

[22]  Asifullah Khan,et al.  Wind power prediction using deep neural network based meta regression and transfer learning , 2017, Appl. Soft Comput..

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

[24]  J. Richman,et al.  Physiological time-series analysis using approximate entropy and sample entropy. , 2000, American journal of physiology. Heart and circulatory physiology.

[25]  Hui Liu,et al.  Four wind speed multi-step forecasting models using extreme learning machines and signal decomposing algorithms , 2015 .

[26]  Hui Liu,et al.  Wind speed forecasting approach using secondary decomposition algorithm and Elman neural networks , 2015 .

[27]  Yanfei Li,et al.  Comparison of two new intelligent wind speed forecasting approaches based on Wavelet Packet Decomposition, Complete Ensemble Empirical Mode Decomposition with Adaptive Noise and Artificial Neural Networks , 2018 .

[28]  Carsten Croonenbroeck,et al.  Minimizing asymmetric loss in medium-term wind power forecasting , 2015 .

[29]  Martin Vetterli,et al.  Adaptive wavelet thresholding for image denoising and compression , 2000, IEEE Trans. Image Process..

[30]  Zhang Yan,et al.  A review on the forecasting of wind speed and generated power , 2009 .

[31]  Lei Zhang,et al.  Comparison of four Adaboost algorithm based artificial neural networks in wind speed predictions , 2015 .

[32]  Jing Zhao,et al.  An improved multi-step forecasting model based on WRF ensembles and creative fuzzy systems for wind speed , 2016 .

[33]  Jianzhou Wang,et al.  Forecasting wind speed using empirical mode decomposition and Elman neural network , 2014, Appl. Soft Comput..

[34]  Joao P. S. Catalao,et al.  Short-term wind power forecasting using adaptive neuro-fuzzy inference system combined with evolutionary particle swarm optimization, wavelet transform and mutual information , 2015 .

[35]  Minghui Wang,et al.  Prediction of protein structural class for low-similarity sequences using Chou's pseudo amino acid composition and wavelet denoising. , 2017, Journal of molecular graphics & modelling.

[36]  Nurulkamal Masseran Modeling the fluctuations of wind speed data by considering their mean and volatility effects , 2016 .

[37]  Sancho Salcedo-Sanz,et al.  Feature selection in wind speed prediction systems based on a hybrid coral reefs optimization – Extreme learning machine approach , 2014 .

[38]  P. Pinson,et al.  Trading Wind Generation From Short-Term Probabilistic Forecasts of Wind Power , 2007, IEEE Transactions on Power Systems.

[39]  Asifullah Khan,et al.  Intelligent and robust prediction of short term wind power using genetic programming based ensemble of neural networks , 2017 .

[40]  Zhi-Zhong Mao,et al.  An Ensemble ELM Based on Modified AdaBoost.RT Algorithm for Predicting the Temperature of Molten Steel in Ladle Furnace , 2010, IEEE Transactions on Automation Science and Engineering.

[41]  Hui Liu,et al.  Comparison of new hybrid FEEMD-MLP, FEEMD-ANFIS, Wavelet Packet-MLP and Wavelet Packet-ANFIS for wind speed predictions , 2015 .

[42]  D.P. Solomatine,et al.  AdaBoost.RT: a boosting algorithm for regression problems , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[43]  Huei-Lin Chang,et al.  Hour-ahead wind power and speed forecasting using simultaneous perturbation stochastic approximation (SPSA) algorithm and neural network with fuzzy inputs , 2010 .