Uncertain wind power forecasting using LSTM‐based prediction interval

Estimating prediction intervals (PIs) is an efficient and reliable way of capturing the uncertainties associated with wind power forecasting. In this study, a state of the art recurrent neural network (RNN) known as long short-term memory (LSTM) is used to produce reliable PIs for one-hour ahead wind power uncertainty forecast using the non-parametric lower upper bound estimation framework. Two realistic hourly stamped wind power data sets are obtained and by using mutual information and false nearest neighbours techniques, the data are made suitable for model inputs. A novel comprehensive objective function consisting of the coverage probability, the average width of the PIs, symmetricity and variational synchronicity is developed to train the LSTM model using intelligent optimisation techniques. The standard of the PIs generated for the test set as well as for different seasons are evaluated based on the indices used to design the objective function for model training, with one of them being modified. The performance of the proposed LSTM model is found to outperform typical RNN models like Elman, non-linear auto-regressive with exogenous models and other benchmarking models while tested on the real-world data sets.

[1]  Yongqian Liu,et al.  Short-term forecasting and uncertainty analysis of wind turbine power based on long short-term memory network and Gaussian mixture model , 2019, Applied Energy.

[2]  Yagang Zhang,et al.  Wind Speed Interval Prediction Based on Lorenz Disturbance Distribution , 2020, IEEE Transactions on Sustainable Energy.

[3]  Bijaya K. Panigrahi,et al.  Prediction Interval Estimation of Electricity Prices Using PSO-Tuned Support Vector Machines , 2015, IEEE Transactions on Industrial Informatics.

[4]  Furong Li,et al.  Novel Cost Model for Balancing Wind Power Forecasting Uncertainty , 2017, IEEE Transactions on Energy Conversion.

[5]  Amir F. Atiya,et al.  Lower Upper Bound Estimation Method for Construction of Neural Network-Based Prediction Intervals , 2011, IEEE Transactions on Neural Networks.

[6]  Seyedali Mirjalili,et al.  Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems , 2015, Neural Computing and Applications.

[7]  Jing Deng,et al.  Hybrid Probabilistic Wind Power Forecasting Using Temporally Local Gaussian Process , 2016, IEEE Transactions on Sustainable Energy.

[8]  Miao He,et al.  Support-Vector-Machine-Enhanced Markov Model for Short-Term Wind Power Forecast , 2015, IEEE Transactions on Sustainable Energy.

[9]  Michael Chertkov,et al.  Uncertainty Sets for Wind Power Generation , 2016, IEEE Transactions on Power Systems.

[10]  Venkata Dinavahi,et al.  Direct Interval Forecast of Uncertain Wind Power Based on Recurrent Neural Networks , 2018, IEEE Transactions on Sustainable Energy.

[11]  Wen-Yeau Chang,et al.  A Literature Review of Wind Forecasting Methods , 2014 .

[12]  David E. Goldberg,et al.  Genetic algorithms and Machine Learning , 1988, Machine Learning.

[13]  Li Li,et al.  Uncertainty estimation for wind energy conversion by probabilistic wind turbine power curve modelling , 2019, Applied Energy.

[14]  Jean-François Toubeau,et al.  Deep Learning-Based Multivariate Probabilistic Forecasting for Short-Term Scheduling in Power Markets , 2019, IEEE Transactions on Power Systems.

[15]  Saeid Nahavandi,et al.  A New Fuzzy-Based Combined Prediction Interval for Wind Power Forecasting , 2016, IEEE Transactions on Power Systems.

[16]  Yitao Liu,et al.  Deep learning based ensemble approach for probabilistic wind power forecasting , 2017 .

[17]  Saeid Nahavandi,et al.  Combined Nonparametric Prediction Intervals for Wind Power Generation , 2013, IEEE Transactions on Sustainable Energy.

[18]  P. Jirutitijaroen,et al.  Hourly solar irradiance time series forecasting using cloud cover index , 2012 .

[19]  Holger Kantz,et al.  Practical implementation of nonlinear time series methods: The TISEAN package. , 1998, Chaos.

[20]  Yuan Zhao,et al.  A new prediction method based on VMD-PRBF-ARMA-E model considering wind speed characteristic , 2020 .

[21]  Yanfei Li,et al.  Smart multi-step deep learning model for wind speed forecasting based on variational mode decomposition, singular spectrum analysis, LSTM network and ELM , 2018 .

[22]  Saeid Nahavandi,et al.  Prediction Interval Construction and Optimization for Adaptive Neurofuzzy Inference Systems , 2011, IEEE Transactions on Fuzzy Systems.

[23]  Abbas Khosravi,et al.  Short-Term Load and Wind Power Forecasting Using Neural Network-Based Prediction Intervals , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[24]  E. Torsen,et al.  Bootstrapping Nonparametric Prediction Intervals for Conditional Value-at-Risk with Heteroscedasticity , 2019, Journal of Probability and Statistics.

[25]  Jürgen Schmidhuber,et al.  LSTM: A Search Space Odyssey , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[26]  Amir F. Atiya,et al.  Comprehensive Review of Neural Network-Based Prediction Intervals and New Advances , 2011, IEEE Transactions on Neural Networks.

[27]  Peng Guo,et al.  A Review of Wind Power Forecasting Models , 2011 .

[28]  I. González-Aparicio,et al.  Impact of wind power uncertainty forecasting on the market integration of wind energy in Spain , 2015 .