Bayesian renewables scenario generation via deep generative networks

We present a method to generate renewable scenarios using Bayesian probabilities by implementing the Bayesian generative adversarial network (Bayesian GAN), which is a variant of generative adversarial networks based on two interconnected deep neural networks. By using a Bayesian formulation, generators can be constructed and trained to produce scenarios that capture different salient modes in the data, allowing for better diversity and more accurate representation of the underlying physical process. Compared to conventional statistical models that are often hard to scale or sample from, this method is model-free and can generate samples extremely efficiently. For validation, we use wind and solar times-series data from NREL integration data sets to train the Bayesian GAN. We demonstrate that proposed method is able to generate clusters of wind scenarios with different variance and mean value, and is able to distinguish and generate wind and solar scenarios simultaneously even if the historical data are intentionally mixed.

[1]  Zechun Hu,et al.  Stochastic optimization of the daily operation of wind farm and pumped-hydro-storage plant , 2012 .

[2]  Leonidas J. Guibas,et al.  The Earth Mover's Distance as a Metric for Image Retrieval , 2000, International Journal of Computer Vision.

[3]  Yoshua Bengio,et al.  Generative Adversarial Nets , 2014, NIPS.

[4]  H. Madsen,et al.  From probabilistic forecasts to statistical scenarios of short-term wind power production , 2009 .

[5]  Antonio J. Conejo,et al.  A methodology to generate statistically dependent wind speed scenarios , 2010 .

[6]  Mark Z. Jacobson,et al.  A Monte Carlo approach to generator portfolio planning and carbon emissions assessments of systems with large penetrations of variable renewables. , 2011 .

[7]  Jitka Dupacová,et al.  Scenarios for Multistage Stochastic Programs , 2000, Ann. Oper. Res..

[8]  Duehee Lee,et al.  Load and Wind Power Scenario Generation Through the Generalized Dynamic Factor Model , 2017, IEEE Transactions on Power Systems.

[9]  Jianhui Wang,et al.  Stochastic Optimization for Unit Commitment—A Review , 2015, IEEE Transactions on Power Systems.

[10]  Robin Girard,et al.  Evaluating the quality of scenarios of short-term wind power generation , 2012 .

[11]  Andrew Gordon Wilson,et al.  Bayesian GAN , 2017, NIPS.

[12]  C. Villani Optimal Transport: Old and New , 2008 .

[13]  R. Baldick,et al.  Transmission Planning Under Uncertainties of Wind and Load: Sequential Approximation Approach , 2013, IEEE Transactions on Power Systems.

[14]  Léon Bottou,et al.  Wasserstein GAN , 2017, ArXiv.

[15]  A. Papavasiliou,et al.  Reserve Requirements for Wind Power Integration: A Scenario-Based Stochastic Programming Framework , 2011, IEEE Transactions on Power Systems.

[16]  Daniel Kirschen,et al.  Model-Free Renewable Scenario Generation Using Generative Adversarial Networks , 2017, IEEE Transactions on Power Systems.

[17]  N. D. Hatziargyriou,et al.  Probabilistic Wind Power Forecasting Using Radial Basis Function Neural Networks , 2012, IEEE Transactions on Power Systems.