Probabilistic Forecasts of Wind Power Generation Accounting for Geographically Dispersed Information

Forecasts of wind power generation in their probabilistic form are a necessary input to decision-making problems for reliable and economic power systems operations in a smart grid context. Thanks to the wealth of spatially distributed data, also of high temporal resolution, such forecasts may be optimized by accounting for spatio-temporal effects that are so far merely considered. The way these effects may be included in relevant models is described for the case of both parametric and non-parametric approaches to generating probabilistic forecasts. The resulting predictions are evaluated on the real-world test case of a large offshore wind farm in Denmark (Nysted, 165 MW), where a portfolio of 19 other wind farms is seen as a set of geographically distributed sensors, for lead times between 15 minutes and 8 hours. Forecast improvements are shown to mainly come from the spatio-temporal correction of the first order moments of predictive densities. The best performing approach, based on adaptive quantile regression, using spatially corrected point forecasts as input, consistently outperforms the state-of-the-art benchmark based on local information only, by 1.5%-4.6%, depending upon the lead time.

[1]  T. Gneiting Quantiles as optimal point forecasts , 2011 .

[2]  P Pinson,et al.  Conditional Prediction Intervals of Wind Power Generation , 2010, IEEE Transactions on Power Systems.

[3]  Gregor Giebel,et al.  The State-Of-The-Art in Short-Term Prediction of Wind Power. A Literature Overview , 2003 .

[4]  Ismael Sánchez,et al.  Short-term prediction of wind energy production , 2006 .

[5]  Julio Usaola,et al.  Optimal operation of a pumped-storage hydro plant that compensates the imbalances of a wind power pr , 2011 .

[6]  R. Buizza,et al.  Wind Power Density Forecasting Using Ensemble Predictions and Time Series Models , 2009, IEEE Transactions on Energy Conversion.

[7]  Pierre Pinson,et al.  High-resolution forecasting of wind power generation with regime switching models and off-site observations , 2012 .

[8]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[9]  Ada Lau Probabilistic wind power forecasts : from aggregated approach to spatiotemporal models , 2011 .

[10]  P. Pinson,et al.  Very‐short‐term probabilistic forecasting of wind power with generalized logit–normal distributions , 2012 .

[11]  Daniel S. Kirschen,et al.  Assessing the Impact of Wind Power Generation on Operating Costs , 2010, IEEE Transactions on Smart Grid.

[12]  Tilmann Gneiting,et al.  Editorial: Probabilistic forecasting , 2008 .

[13]  Kristin Larson,et al.  Short-term wind forecasting using off-site observations , 2006 .

[14]  P. S. Dokopoulos,et al.  Wind speed and power forecasting based on spatial correlation models , 1999 .

[15]  M. Genton,et al.  Powering Up With Space-Time Wind Forecasting , 2010 .

[16]  Yan Zhou,et al.  Assessment of Impacts of PHEV Charging Patterns on Wind-Thermal Scheduling by Stochastic Unit Commitment , 2012, IEEE Transactions on Smart Grid.

[17]  R. J. Bessa,et al.  Reserve Setting and Steady-State Security Assessment Using Wind Power Uncertainty Forecast: A Case Study , 2012, IEEE Transactions on Sustainable Energy.

[18]  Jianhui Wang,et al.  Demand Dispatch and Probabilistic Wind Power Forecasting in Unit Commitment and Economic Dispatch: A Case Study of Illinois , 2013, IEEE Transactions on Sustainable Energy.

[19]  J.B. Theocharis,et al.  A fuzzy model for wind speed prediction and power generation in wind parks using spatial correlation , 2004, IEEE Transactions on Energy Conversion.

[20]  Pierre Pinson,et al.  Danmarks Tekniske Universitet Spatio-temporal correction targeting Nysted Offshore . Probabilistic forecasts , 2012 .

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

[22]  Robin Girard,et al.  Spatio‐temporal propagation of wind power prediction errors , 2013 .

[23]  Eric M. Aldrich,et al.  Calibrated Probabilistic Forecasting at the Stateline Wind Energy Center , 2006 .

[24]  Henrik Madsen,et al.  A review on the young history of the wind power short-term prediction , 2008 .

[25]  Jooyoung Jeon,et al.  Using Conditional Kernel Density Estimation for Wind Power Density Forecasting , 2012 .

[26]  R. Koenker,et al.  Regression Quantiles , 2007 .

[27]  Kara Clark,et al.  Western Wind and Solar Integration Study , 2011 .

[28]  Niels W. Nielsen,et al.  The Operational DMI-HIRLAM System , 2000 .

[29]  Vladimiro Miranda,et al.  Time-adaptive quantile-copula for wind power probabilistic forecasting , 2012 .

[30]  A. Raftery,et al.  Strictly Proper Scoring Rules, Prediction, and Estimation , 2007 .

[31]  Henrik Madsen,et al.  Weather radars - the new eyes for offshore wind farms? , 2014 .

[32]  René Jursa,et al.  Short-term wind power forecasting using evolutionary algorithms for the automated specification of artificial intelligence models , 2008 .

[33]  Henrik Madsen,et al.  Multivariate conditional parametric models for a spatio-temporal analysis of short-term wind power forecast errors , 2010 .

[34]  J. Holst,et al.  Tracking Time-Varying Coefficient-Functions , 2000 .

[35]  H. Farhangi,et al.  The path of the smart grid , 2010, IEEE Power and Energy Magazine.

[36]  M. Lange On the Uncertainty of Wind Power Predictions—Analysis of the Forecast Accuracy and Statistical Distribution of Errors , 2005 .

[37]  Xian Liu,et al.  Economic Load Dispatch Constrained by Wind Power Availability: A Wait-and-See Approach , 2010, IEEE Transactions on Smart Grid.

[38]  Vladimiro Miranda,et al.  Wind Power Trading Under Uncertainty in LMP Markets , 2012, IEEE Transactions on Power Systems.

[39]  Jan Kloppenborg Møller,et al.  ARTICLE IN PRESS Computational Statistics & Data Analysis ( ) – Time-adaptive quantile regression , 2022 .

[40]  Thomas Ackermann,et al.  Wind Power in Power Systems , 2005 .