mlsanityData to 7 Oct 2026

A deep generative model for probabilistic energy forecasting in power systems: normalizing flows

arXiv 2106.09370 ↗First posted 17 Jun 2021cs.LG cs.SY eess.SYcited by 18

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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

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16 more
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 7; 2023: 3; 2024: 4; 2025: 3; 2026: 1.

18 papers.

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  1. 2022Multivariate Probabilistic Forecasting of Intraday Electricity Prices using Normalizing Flowscited by 14
  2. 2022Risk-Aware Control and Optimization for High-Renewable Power Gridscited by 7
  3. 2022Continuous and Distribution-free Probabilistic Wind Power Forecasting: A Conditional Normalizing Flow Approachcited by 7
  4. 2022Denoising diffusion probabilistic models for probabilistic energy forecastingcited by 6
  5. 2024On-line conformalized neural networks ensembles for probabilistic forecasting of day-ahead electricity pricescited by 5
  6. 2024Generating Synthetic Net Load Data with Physics-informed Diffusion Modelcited by 5
  7. 2022Normalizing Flow-based Day-Ahead Wind Power Scenario Generation for Profitable and Reliable Delivery Commitments by Wind Farm Operatorscited by 3
  8. 2022Sample-based Uncertainty Quantification with a Single Deterministic Neural Networkcited by 3
  9. 2025Generative Modeling of Microweather Wind Velocities for Urban Air Mobilitycited by 3
  10. 2024Channel-aware Contrastive Conditional Diffusion for Multivariate Probabilistic Time Series Forecastingcited by 2
  11. 2025One Model to Forecast Them All and in Entity Distributions Bind Themcited by 1
  12. 2025Aligning the Evaluation of Probabilistic Predictions with Downstream Valuecited by 1
6 more
  1. 2022Time to Market Reduction for Hydrogen Fuel Cell Stacks using Generative Adversarial Networkscited by 0
  2. 2023Creating Probabilistic Forecasts from Arbitrary Deterministic Forecasts using Conditional Invertible Neural Networkscited by 0
  3. 2023Deep Generative Methods for Producing Forecast Trajectories in Power Systemscited by 0
  4. 2023Analysis and Applications of Deep Learning with Finite Samples in Full Life-Cycle Intelligence of Nuclear Power Generationcited by 0
  5. 2024AutoPQ: Automating Quantile estimation from Point forecasts in the context of sustainabilitycited by 0
  6. 2026Ensemble Complexity in Photovoltaic Forecastingcited by 0