Prediction Interval Construction for Electric Load and Wind Power via Machine Learning

Accurate and reliable forecasting methods are essential to smart grid operation and planning. However, due to intrinsic uncertainties such as non-deterministic electricity loads and intermittent power generation from renewable energy sources, traditional point forecasting methods can hardly be accurate as only one predictive value is generated at each time step. To assess multifarious uncertainties, probabilistic forecasting, which can be in the form of prediction intervals (PIs), is preferred for forecasting tasks in future smart grid. This paper proposes a new ensemble machine learning approach to enhance both the reliability and sharpness of PIs. In the proposed approach, a novel framework incorporating point forecast and stochastic gradient boosted quantile regression is created to identify and modify illogical PIs. Furthermore, an explicit procedure for implementing the proposed approach, and an empirical parameter tuning method are proposed. The performance of the proposed method is validated for two forecasting tasks in a smart grid, namely load forecasting and wind power forecasting. Compared with benchmark models, the proposed approach is more robust, and exhibits a significantly enhanced performance, as measured by multiple PI evaluation indexes.

[1]  J. Friedman Greedy function approximation: A gradient boosting machine. , 2001 .

[2]  Tao Hong,et al.  Probabilistic Load Forecasting via Quantile Regression Averaging on Sister Forecasts , 2017, IEEE Transactions on Smart Grid.

[3]  P. Gaillard,et al.  Additive models and robust aggregation for GEFCom2014 probabilistic electric load and electricity price forecasting , 2016 .

[4]  Z. Dong,et al.  A Statistical Approach for Interval Forecasting of the Electricity Price , 2008, IEEE Transactions on Power Systems.

[5]  Javier Reneses,et al.  Medium-Term Probabilistic Forecasting of Electricity Prices: A Hybrid Approach , 2017 .

[6]  Tao Hong,et al.  Probabilistic electric load forecasting: A tutorial review , 2016 .

[7]  Saeid Nahavandi,et al.  Construction of Optimal Prediction Intervals for Load Forecasting Problems , 2010, IEEE Transactions on Power Systems.

[8]  Henrik Madsen,et al.  Probabilistic Forecasts of Wind Power Generation by Stochastic Differential Equation Models , 2016 .

[9]  Felipe Valencia,et al.  Robust Energy Management System for a Microgrid Based on a Fuzzy Prediction Interval Model , 2016, IEEE Transactions on Smart Grid.

[10]  Rob J Hyndman,et al.  Probabilistic energy forecasting: Global Energy Forecasting Competition 2014 and beyond , 2016 .

[11]  Alois Knoll,et al.  Gradient boosting machines, a tutorial , 2013, Front. Neurorobot..

[12]  G. Nagy,et al.  GEFCom2014: Probabilistic solar and wind power forecasting using a generalized additive tree ensemble approach , 2016 .

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

[14]  J. Watson,et al.  Multi-Stage Robust Unit Commitment Considering Wind and Demand Response Uncertainties , 2013, IEEE Transactions on Power Systems.

[15]  Ricardo J. Bessa,et al.  On-line quantile regression in the RKHS (Reproducing Kernel Hilbert Space) for operational probabilistic forecasting of wind power , 2016 .

[16]  Peter B. Luh,et al.  Hybrid Kalman Filters for Very Short-Term Load Forecasting and Prediction Interval Estimation , 2013, IEEE Transactions on Power Systems.

[17]  Kit Po Wong,et al.  Optimal Prediction Intervals of Wind Power Generation , 2014, IEEE Transactions on Power Systems.

[18]  Mark Landry,et al.  Probabilistic gradient boosting machines for GEFCom2014 wind forecasting , 2016 .

[19]  Abbas Khosravi,et al.  Uncertainty handling using neural network-based prediction intervals for electrical load forecasting , 2014 .

[20]  Yonggang Wu,et al.  An Advanced Approach for Construction of Optimal Wind Power Prediction Intervals , 2015, IEEE Transactions on Power Systems.

[21]  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.

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