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Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are often composed of processes acting at multiple scales.…

Chaotic Dynamics · Physics 2025-10-06 Chenyu Dong , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

In the probabilistic energy forecasting literature, emphasis is mainly placed on deriving marginal predictive densities for which each random variable is dealt with individually. Such marginals description is sufficient for power systems…

Applications · Statistics 2016-03-23 Faranak Golestaneh , Pierre Pinson , Hoay Beng Gooi

In the evolving power system, where new renewable resources continually displace conventional generation, conventional hydropower resources can be an important asset that helps to maintain reliability and flexibility. Varying climatic…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Bhaskar Mitra , Sohom Datta , Slaven Kincic , Nader Samaan , Abhishek Somani

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

Machine Learning · Statistics 2018-11-26 Francesco Fusco

This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

We introduce a novel deep learning approach that harnesses the power of generative artificial intelligence to enhance the accuracy of contextual forecasting in sewerage systems. By developing a diffusion-based model that processes…

Machine Learning · Computer Science 2025-06-11 Nicholas A. Pearson , Francesca Cairoli , Luca Bortolussi , Davide Russo , Francesca Zanello

This paper presents a novel data-driven technique based on the spatiotemporal pattern network (STPN) for energy/power prediction for complex dynamical systems. Built on symbolic dynamic filtering, the STPN framework is used to capture not…

Machine Learning · Statistics 2017-02-07 Zhanhong Jiang , Chao Liu , Adedotun Akintayo , Gregor Henze , Soumik Sarkar

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with the practice in the electric power industry, we assume that…

Applications · Statistics 2022-09-28 Rene Carmona , Xinshuo Yang

The majority of real-world processes are spatiotemporal, and the data generated by them exhibits both spatial and temporal evolution. Weather is one of the most essential processes in this domain, and weather forecasting has become a…

Machine Learning · Computer Science 2024-09-24 Shakir Showkat Sofi , Ivan Oseledets

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for power spectra of temporal fluctuations on all space-time…

chao-dyn · Physics 2009-10-31 A. M. Selvam , S. Fadnavis

We consider some crucial problems related to the secure and reliable operation of power systems with high renewable penetrations: how much reserve should we procure, how should reserve resources distribute among different locations, and how…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

Recent studies indicate that the effects of inter-annual climate-based variability in power system planning are significant and that long samples of demand & weather data (spanning multiple decades) should be considered. At the same time,…

Applications · Statistics 2019-05-30 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

This study presents a novel generative modeling approach to rainfall-runoff modeling, focusing on the synthesis of realistic daily catchment runoff time series in response to catchment-averaged climate forcing. Unlike traditional…

Geophysics · Physics 2024-09-11 Yang Yang , Ting Fong May Chui

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

Energy (load, wind, photovoltaic) forecasting is significant in the power industry as it can provide a reference for subsequent tasks such as power grid dispatch, thus bringing huge economic benefits. However, there are many differences…

Machine Learning · Computer Science 2024-10-07 Zhixian Wang , Qingsong Wen , Chaoli Zhang , Liang Sun , Leandro Von Krannichfeldt , Shirui Pan , Yi Wang

Power system planning problems become computationally intractable if one accounts for all uncertain operating scenarios. Consequently, one selects a subset of scenarios that are representative of likely/extreme operating conditions, e.g.…

Signal Processing · Electrical Eng. & Systems 2021-05-27 Malhar Padhee , Anamitra Pal

Modern buildings encompass complex dynamics of multiple electrical, mechanical, and control systems. One of the biggest hurdles in applying conventional model-based optimization and control methods to building energy management is the huge…

Optimization and Control · Mathematics 2017-11-08 Yize Chen , Yuanyuan Shi , Baosen Zhang

Modern energy systems in vehicles and built infrastructure are governed by high-dimensional dynamics spanning multiple physical domains (e.g., electrical, thermal, mechanical) and timescales. This tutorial paper presents a graph-based…

Renewable energy sources, such as wind and solar power, are increasingly being integrated into smart grid systems. However, when compared to traditional energy resources, the unpredictability of renewable energy generation poses significant…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Arman Ghasemi , Amin Shojaeighadikolaei , Morteza Hashemi

In this paper, we propose a non-parametric Bayesian network method to generate synthetic scenarios of hourly generation for variable renewable energy(VRE) plants. The methodology consists of a non-parametric estimation of the probability…

Applications · Statistics 2020-03-11 Julio Alberto Dias , Guilherme Machado , Alessandro Soares , Joaquim Dias Garcia