A deep generative model for probabilistic energy forecasting in power systems: normalizing flows
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Abstract (arXiv)
Greater direct electrification of end-use sectors with a higher share of renewables is one of the pillars to power a carbon-neutral society by 2050. However, in contrast to conventional power plants, renewable energy is subject to uncertainty raising challenges for their interaction with power systems. Scenario-based probabilistic forecasting models have become a vital tool to equip decision-makers. This paper presents to the power systems forecasting practitioners a recent deep learning technique, the normalizing flows, to produce accurate scenario-based probabilistic forecasts that are crucial to face the new challenges in power systems applications. The strength of this technique is to directly learn the stochastic multivariate distribution of the underlying process by maximizing the likelihood. Through comprehensive empirical evaluations using the open data of the Global Energy Forecasting Competition 2014, we demonstrate that this methodology is competitive with other state-of-the-art deep learning generative models: generative adversarial networks and variational autoencoders. The models producing weather-based wind, solar power, and load scenarios are properly compared in terms of forecast value by considering the case study of an energy retailer and quality using several complementary metrics. The numerical experiments are simple and easily reproducible. Thus, we hope it will encourage other forecasting practitioners to test and use normalizing flows in power system applications such as bidding on electricity markets, scheduling power systems with high renewable energy sources penetration, energy management of virtual power plan or microgrids, and unit commitment.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). Builds on 28 of its 76 references that are in the map. First posted on arXiv 17 Jun 2021.
Builds on
28 of 76 references.
References · 28
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2013Auto-Encoding Variational Bayescited by 3,980
- 2017Improved Training of Wasserstein GANscited by 2,223
- 2015Variational Inference with Normalizing Flowscited by 2,161
- 2019Normalizing Flows for Probabilistic Modeling and Inferencecited by 1,315
- 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,004
- 2017Masked Autoregressive Flow for Density Estimationcited by 680
- 2016Improving Variational Inference with Inverse Autoregressive Flowcited by 636
- 2017Towards Principled Methods for Training Generative Adversarial Networkscited by 460
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2018Pros and Cons of GAN Evaluation Measurescited by 224
16 more
- 2017Parallel WaveNet: Fast High-Fidelity Speech Synthesiscited by 214
- 2018Neural Autoregressive Flowscited by 207
- 2019Recurrent Neural Networks for Time Series Forecasting: Current Status and Future Directionscited by 172
- 2021An Introduction to Deep Generative Modelingcited by 104
- 2019Unconstrained Monotonic Neural Networkscited by 91
- 2018An empirical study on evaluation metrics of generative adversarial networkscited by 81
- 2017Towards Deeper Understanding of Variational Autoencoding Modelscited by 56
- 2017Model-Free Renewable Scenario Generation Using Generative Adversarial Networkscited by 51
- 2020Graphical Normalizing Flowscited by 37
- 2021Introduction to Normalizing Flows for Lattice Field Theorycited by 35
- 2020Complete parameter inference for GW150914 using deep learningcited by 25
- 2018Day-ahead electricity price forecasting with high-dimensional structures: Univariate vs. multivariate modeling frameworkscited by 21
- 2018Bayesian Renewables Scenario Generation via Deep Generative Networkscited by 7
- 2019Probabilistic Energy Forecasting using Quantile Regressions based on a new Nearest Neighbors Quantile Filtercited by 3
- 2021A Probabilistic Forecast-Driven Strategy for a Risk-Aware Participation in the Capacity Firming Market: extended versioncited by 2
- 2021Deep learning-based multi-output quantile forecasting of PV generationcited by 1
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Citing papers per year: 2022: 7; 2023: 3; 2024: 4; 2025: 3; 2026: 1.
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- 2022Multivariate Probabilistic Forecasting of Intraday Electricity Prices using Normalizing Flowscited by 14
- 2022Risk-Aware Control and Optimization for High-Renewable Power Gridscited by 7
- 2022Continuous and Distribution-free Probabilistic Wind Power Forecasting: A Conditional Normalizing Flow Approachcited by 7
- 2022Denoising diffusion probabilistic models for probabilistic energy forecastingcited by 6
- 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity pricescited by 5
- 2024Generating Synthetic Net Load Data with Physics-informed Diffusion Modelcited by 5
- 2022Normalizing Flow-based Day-Ahead Wind Power Scenario Generation for Profitable and Reliable Delivery Commitments by Wind Farm Operatorscited by 3
- 2022Sample-based Uncertainty Quantification with a Single Deterministic Neural Networkcited by 3
- 2025Generative Modeling of Microweather Wind Velocities for Urban Air Mobilitycited by 3
- 2024Channel-aware Contrastive Conditional Diffusion for Multivariate Probabilistic Time Series Forecastingcited by 2
- 2025One Model to Forecast Them All and in Entity Distributions Bind Themcited by 1
- 2025Aligning the Evaluation of Probabilistic Predictions with Downstream Valuecited by 1
6 more
- 2022Time to Market Reduction for Hydrogen Fuel Cell Stacks using Generative Adversarial Networkscited by 0
- 2023Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networkscited by 0
- 2023Deep Generative Methods for Producing Forecast Trajectories in Power Systemscited by 0
- 2023Analysis and Applications of Deep Learning with Finite Samples in Full Life-Cycle Intelligence of Nuclear Power Generationcited by 0
- 2024AutoPQ: Automating Quantile estimation from Point forecasts in the context of sustainabilitycited by 0
- 2026Ensemble Complexity in Photovoltaic Forecastingcited by 0
- 2026Ensemble Complexity in Photovoltaic Forecasting14 Sep 2026
- 2025Aligning the Evaluation of Probabilistic Predictions with Downstream Value25 Aug 2025
- 2025Generative Modeling of Microweather Wind Velocities for Urban Air Mobility4 Mar 2025
- 2025One Model to Forecast Them All and in Entity Distributions Bind Them26 Jan 2025
- 2024AutoPQ: Automating Quantile estimation from Point forecasts in the context of sustainability30 Nov 2024
- 2024Channel-aware Contrastive Conditional Diffusion for Multivariate Probabilistic Time Series Forecasting3 Oct 2024
- 2024Generating Synthetic Net Load Data with Physics-informed Diffusion Model4 Jun 2024
- 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity prices3 Apr 2024
- 2023Analysis and Applications of Deep Learning with Finite Samples in Full Life-Cycle Intelligence of Nuclear Power Generation7 Nov 2023
- 2023Deep Generative Methods for Producing Forecast Trajectories in Power Systems26 Sep 2023
- 2023Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networks3 Feb 2023
- 2022Time to Market Reduction for Hydrogen Fuel Cell Stacks using Generative Adversarial Networks22 Dec 2022
6 more
- 2022Denoising diffusion probabilistic models for probabilistic energy forecasting6 Dec 2022
- 2022Sample-based Uncertainty Quantification with a Single Deterministic Neural Network17 Sep 2022
- 2022Continuous and Distribution-free Probabilistic Wind Power Forecasting: A Conditional Normalizing Flow Approach6 Jun 2022
- 2022Multivariate Probabilistic Forecasting of Intraday Electricity Prices using Normalizing Flows27 May 2022
- 2022Normalizing Flow-based Day-Ahead Wind Power Scenario Generation for Profitable and Reliable Delivery Commitments by Wind Farm Operators5 Apr 2022
- 2022Risk-Aware Control and Optimization for High-Renewable Power Grids2 Apr 2022
- 2022Multivariate Probabilistic Forecasting of Intraday Electricity Prices using Normalizing Flowscited by 14
- 2022Risk-Aware Control and Optimization for High-Renewable Power Gridscited by 7
- 2022Continuous and Distribution-free Probabilistic Wind Power Forecasting: A Conditional Normalizing Flow Approachcited by 7
- 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity pricescited by 5
- 2022Normalizing Flow-based Day-Ahead Wind Power Scenario Generation for Profitable and Reliable Delivery Commitments by Wind Farm Operatorscited by 3
- 2022Sample-based Uncertainty Quantification with a Single Deterministic Neural Networkcited by 3
- 2025Generative Modeling of Microweather Wind Velocities for Urban Air Mobilitycited by 3
- 2025One Model to Forecast Them All and in Entity Distributions Bind Themcited by 1
- 2025Aligning the Evaluation of Probabilistic Predictions with Downstream Valuecited by 1
- 2022Time to Market Reduction for Hydrogen Fuel Cell Stacks using Generative Adversarial Networkscited by 0
- 2023Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networkscited by 0
- 2023Deep Generative Methods for Producing Forecast Trajectories in Power Systemscited by 0
12 most cited of 15 All 15 (JSON)
- 2026Ensemble Complexity in Photovoltaic Forecasting14 Sep 2026
- 2025Aligning the Evaluation of Probabilistic Predictions with Downstream Value25 Aug 2025
- 2025Generative Modeling of Microweather Wind Velocities for Urban Air Mobility4 Mar 2025
- 2025One Model to Forecast Them All and in Entity Distributions Bind Them26 Jan 2025
- 2024AutoPQ: Automating Quantile estimation from Point forecasts in the context of sustainability30 Nov 2024
- 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity prices3 Apr 2024
- 2023Analysis and Applications of Deep Learning with Finite Samples in Full Life-Cycle Intelligence of Nuclear Power Generation7 Nov 2023
- 2023Deep Generative Methods for Producing Forecast Trajectories in Power Systems26 Sep 2023
- 2023Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networks3 Feb 2023
- 2022Time to Market Reduction for Hydrogen Fuel Cell Stacks using Generative Adversarial Networks22 Dec 2022
- 2022Sample-based Uncertainty Quantification with a Single Deterministic Neural Network17 Sep 2022
- 2022Continuous and Distribution-free Probabilistic Wind Power Forecasting: A Conditional Normalizing Flow Approach6 Jun 2022
12 newest of 15 All 15 (JSON)