Probabilistic Wind Power Forecasting via Non-Stationary Gaussian Processes
- URL: http://arxiv.org/abs/2505.09026v1
- Date: Tue, 13 May 2025 23:46:33 GMT
- Title: Probabilistic Wind Power Forecasting via Non-Stationary Gaussian Processes
- Authors: Domniki Ladopoulou, Dat Minh Hong, Petros Dellaportas,
- Abstract summary: We propose a non-stationary GP framework that incorporates the generalized spectral mixture kernel.<n>We evaluate the performance of the proposed model on real-world SCADA data.<n>Results highlight the necessity of modeling non-stationarity in wind power forecasting.
- Score: 4.956709222278242
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Accurate probabilistic forecasting of wind power is essential for maintaining grid stability and enabling efficient integration of renewable energy sources. Gaussian Process (GP) models offer a principled framework for quantifying uncertainty; however, conventional approaches rely on stationary kernels, which are inadequate for modeling the inherently non-stationary nature of wind speed and power output. We propose a non-stationary GP framework that incorporates the generalized spectral mixture (GSM) kernel, enabling the model to capture time-varying patterns and heteroscedastic behaviors in wind speed and wind power data. We evaluate the performance of the proposed model on real-world SCADA data across short\mbox{-,} medium-, and long-term forecasting horizons. Compared to standard radial basis function and spectral mixture kernels, the GSM-based model outperforms, particularly in short-term forecasts. These results highlight the necessity of modeling non-stationarity in wind power forecasting and demonstrate the practical value of non-stationary GP models in operational settings.
Related papers
- Integrating Physics and Data-Driven Approaches: An Explainable and Uncertainty-Aware Hybrid Model for Wind Turbine Power Prediction [1.1270209626877075]
The rapid growth of the wind energy sector underscores the urgent need to optimize turbine operations.<n>Traditional empirical and physics-based models offer approximate predictions of power generation based on wind speed.<n>Data-driven machine learning methods present a promising avenue for improving wind turbine modeling.
arXiv Detail & Related papers (2025-02-11T08:16:48Z) - Enhanced Photovoltaic Power Forecasting: An iTransformer and LSTM-Based Model Integrating Temporal and Covariate Interactions [16.705621552594643]
Existing models often struggle with capturing the complex relationships between target variables and covariates.<n>We propose a novel model architecture that leverages the iTransformer for feature extraction from target variables.<n>A cross-attention mechanism is integrated to fuse the outputs of both models, followed by a Kolmogorov-Arnold network mapping.<n>Results demonstrate that the proposed model effectively capture seasonal variations in PV power generation and improve forecasting accuracy.
arXiv Detail & Related papers (2024-12-03T09:16:13Z) - Weather-Informed Probabilistic Forecasting and Scenario Generation in Power Systems [15.393565192962482]
Integration of renewable energy sources into power grids presents significant challenges due to their intrinsicity and uncertainty.
This paper proposes a method combining probabilistic forecasting and Gaussian copula for day-ahead prediction and scenario generation of wind, and solar power in high-dimensional contexts.
arXiv Detail & Related papers (2024-09-11T21:44:59Z) - Latent Space Energy-based Neural ODEs [73.01344439786524]
This paper introduces novel deep dynamical models designed to represent continuous-time sequences.<n>We train the model using maximum likelihood estimation with Markov chain Monte Carlo.<n> Experimental results on oscillating systems, videos and real-world state sequences (MuJoCo) demonstrate that our model with the learnable energy-based prior outperforms existing counterparts.
arXiv Detail & Related papers (2024-09-05T18:14:22Z) - Weather Prediction with Diffusion Guided by Realistic Forecast Processes [49.07556359513563]
We introduce a novel method that applies diffusion models (DM) for weather forecasting.
Our method can achieve both direct and iterative forecasting with the same modeling framework.
The flexibility and controllability of our model empowers a more trustworthy DL system for the general weather community.
arXiv Detail & Related papers (2024-02-06T21:28:42Z) - Volatility Based Kernels and Moving Average Means for Accurate
Forecasting with Gaussian Processes [36.712632126776285]
We show how to re-cast a class of volatility models as a hierarchical Gaussian process (GP) model with specialized covariance functions.
Within this framework, we take inspiration from well studied domains to introduce a new class of models, Volt and Magpie, that significantly outperform baselines in stock and wind speed forecasting.
arXiv Detail & Related papers (2022-07-13T23:02:54Z) - An Energy-Based Prior for Generative Saliency [62.79775297611203]
We propose a novel generative saliency prediction framework that adopts an informative energy-based model as a prior distribution.
With the generative saliency model, we can obtain a pixel-wise uncertainty map from an image, indicating model confidence in the saliency prediction.
Experimental results show that our generative saliency model with an energy-based prior can achieve not only accurate saliency predictions but also reliable uncertainty maps consistent with human perception.
arXiv Detail & Related papers (2022-04-19T10:51:00Z) - Learning Interpretable Deep State Space Model for Probabilistic Time
Series Forecasting [98.57851612518758]
Probabilistic time series forecasting involves estimating the distribution of future based on its history.
We propose a deep state space model for probabilistic time series forecasting whereby the non-linear emission model and transition model are parameterized by networks.
We show in experiments that our model produces accurate and sharp probabilistic forecasts.
arXiv Detail & Related papers (2021-01-31T06:49:33Z) - Physics-Informed Gaussian Process Regression for Probabilistic States
Estimation and Forecasting in Power Grids [67.72249211312723]
Real-time state estimation and forecasting is critical for efficient operation of power grids.
PhI-GPR is presented and used for forecasting and estimating the phase angle, angular speed, and wind mechanical power of a three-generator power grid system.
We demonstrate that the proposed PhI-GPR method can accurately forecast and estimate both observed and unobserved states.
arXiv Detail & Related papers (2020-10-09T14:18:31Z) - Stochastically forced ensemble dynamic mode decomposition for
forecasting and analysis of near-periodic systems [65.44033635330604]
We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system.
We show that its use of intrinsic linear dynamics offers a number of desirable properties in terms of interpretability and parsimony.
Results are presented for a test case using load data from an electrical grid.
arXiv Detail & Related papers (2020-10-08T20:25:52Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.