Prediction interval estimation for wind farm power generation forecasts using support vector machines

Accurate forecasting of wind power generation is quite an important as well as challenging task for the system operators and market participants due to its high uncertainty. It is essential to quantify uncertainties associated with wind power generation forecasts for their efficient application in optimal management of wind farms and integration into power systems. Prediction intervals (PIs) are well known statistical tools which are used to quantify the uncertainty related to forecasts by estimating the ranges of the future target variables. This paper investigates the application of a novel support vector machine based methodology to directly estimate the lower and upper bounds of the PIs without expensive computational burden and inaccurate assumptions about the distribution of the data. The efficiency of the method for uncertainty quantification is examined using monthly data from a wind farm in Australia. PIs for short term application are generated with a confidence level of 90%. Experimental results confirm the ability of the method in constructing reliable PIs without resorting to complex computational methods.

[1]  Wei-Jen Lee,et al.  An Integration of ANN Wind Power Estimation Into Unit Commitment Considering the Forecasting Uncertainty , 2007, IEEE Transactions on Industry Applications.

[2]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[3]  Ioannis B. Theocharis,et al.  A locally recurrent fuzzy neural network with application to the wind speed prediction using spatial correlation , 2007, Neurocomputing.

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

[5]  Henrik Madsen,et al.  Short‐term Prediction—An Overview , 2003 .

[6]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[7]  Vladimiro Miranda,et al.  Very Short-Term Wind Power Forecasting: State-of-the-Art , 2014 .

[8]  Tom Heskes,et al.  Practical Confidence and Prediction Intervals , 1996, NIPS.

[9]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[10]  A. Weigend,et al.  Estimating the mean and variance of the target probability distribution , 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

[11]  R. L. Winkler A Decision-Theoretic Approach to Interval Estimation , 1972 .

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

[13]  J. T. Hwang,et al.  Prediction Intervals for Artificial Neural Networks , 1997 .

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

[15]  Saeid Nahavandi,et al.  Quantifying uncertainties of neural network-based electricity price forecasts , 2013 .

[16]  Rob J Hyndman,et al.  25 years of time series forecasting , 2006 .

[17]  Mohamed Mohandes,et al.  Support vector machines for wind speed prediction , 2004 .

[18]  Vladimiro Miranda,et al.  Wind power forecasting : state-of-the-art 2009. , 2009 .

[19]  John Bjørnar Bremnes,et al.  Probabilistic wind power forecasts using local quantile regression , 2004 .

[20]  George Stavrakakis,et al.  Wind power forecasting using advanced neural networks models , 1996 .

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

[22]  Saeid Nahavandi,et al.  A neural network-GARCH-based method for construction of Prediction Intervals , 2013 .

[23]  T. O. Halawani,et al.  A neural networks approach for wind speed prediction , 1998 .

[24]  S. Santoso,et al.  Wind power forecasting and error analysis using the autoregressive moving average modeling , 2009, 2009 IEEE Power & Energy Society General Meeting.

[25]  A. Llombart,et al.  Statistical Analysis of Wind Power Forecast Error , 2008, IEEE Transactions on Power Systems.

[26]  S. Nahavandi,et al.  Prediction Intervals for Short-Term Wind Farm Power Generation Forecasts , 2013, IEEE Transactions on Sustainable Energy.

[27]  Nigel Meade,et al.  Prediction intervals for growth curve forecasts , 1995 .

[28]  Pierre Pinson,et al.  Non‐parametric probabilistic forecasts of wind power: required properties and evaluation , 2007 .

[29]  M. Lange,et al.  Physical Approach to Short-Term Wind Power Prediction , 2005 .

[30]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[31]  S. Watson,et al.  Short-term prediction of local wind conditions , 1994 .