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This paper presents a perspective of functional analysis to analyze electric load and electricity pricing in the $L_2$ space and its isomorphic vector space, which also yields the general algebraic model of load and pricing associated with…

Optimization and Control · Mathematics 2021-11-09 Jinghuan Ma , Jie Gu , Zhijian Jin

The European power grid can be divided into several market areas where the price of electricity is determined in a day-ahead auction. Market participants can provide continuous hourly bid curves and combinatorial bids with associated…

Optimization and Control · Mathematics 2015-03-02 Alexander Martin , Johannes C. Müller , Sebastian Pokutta

Electrification of all economic sectors and solar photovoltaics (PV) becoming the lowest-cost electricity generation technology in ever more regions give rise to new potential gains of trade. We develop a stylized analytical model to…

General Economics · Economics 2022-05-04 Javier López Prol , Karl W. Steininger , Keith Williges , Wolf D. Grossmann , Iris Grossmann

In electricity markets, futures contracts typically function as a swap since they deliver the underlying over a period of time. In this paper, we introduce a market price for the delivery periods of electricity swaps, thereby opening an…

Pricing of Securities · Quantitative Finance 2022-06-13 Annika Kemper , Maren D. Schmeck , Anna Kh. Balci

Increased penetration of wind energy will make electricity market prices more volatile. As a result, market participants will bear increased financial risks, which impact investment decisions and in turn, makes it harder to achieve…

Optimization and Control · Mathematics 2021-04-16 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

Intraday electricity markets play an increasingly important role in balancing the intermittent generation of renewable energy resources, which creates a need for accurate probabilistic price forecasts. However, research to date has focused…

Statistical Finance · Quantitative Finance 2025-04-15 Simon Hirsch , Florian Ziel

Energy system optimization models are important tools to provide insights regarding trade-offs and interrelations in cost-efficient transformation pathways towards a climate neutral energy system. Using an optimization model of the European…

Frequency dynamics in power systems reflect active power imbalance in real time, thereby providing an instantaneous signal to inform electricity pricing. However, existing real-time markets operate on much slower timescales and fail to…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Xinwei Liu , Vladimir Dvorkin

With growing amounts of wind and solar power in the electricity mix of many European countries, understanding and predicting variations of renewable energy generation at multiple timescales is crucial to ensure reliable electricity systems.…

Physics and Society · Physics 2022-02-08 Llorenç Lledó , Jaume Ramon , Albert Soret , Francisco-Javier Doblas-Reyes

Recent studies provide evidence that decomposing the electricity price into the long-term seasonal component (LTSC) and the remaining part, predicting both separately, and then combining their forecasts can bring significant accuracy gains…

Statistical Finance · Quantitative Finance 2025-03-05 Katarzyna Chęć , Bartosz Uniejewski , Rafał Weron

The recent widespread adoption of rooftop solar backed by battery storage is enabling energy customers to both produce and consume electricity (i.e., prosumers of electricity). To facilitate prosumer participation in the electric grid, new…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Guodong Shi , Duncan S. Callaway , Elizabeth L. Ratnam

We introduce a general, simple, and computationally efficient framework for predicting day-ahead supply and demand merit-order curves, from which both point and probabilistic electricity price forecasts can be derived. We conduct a rigorous…

Applications · Statistics 2026-01-12 Guillaume Koechlin , Filippo Bovera , Piercesare Secchi

With the growing number of forecasting techniques and the increasing significance of forecast-based operation - particularly in the rapidly evolving energy sector - selecting the most effective forecasting model has become a critical task.…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Fabian Backhaus , Karoline Brucke , Peter Ruckdeschel , Sunke Schlüters

Renewable energy sources, especially wind energy, are to play a larger role in providing electricity to industrial and domestic consumers. This is already the case today for a number of European countries, closely followed by the US and…

Methodology · Statistics 2013-12-24 Pierre Pinson

Estimation of the generated power of renewable energy resources is in general important for planning operations as well as demand balance and power quality. This paper addresses the problem of the estimation of the short-term (3-hour ahead)…

Systems and Control · Electrical Eng. & Systems 2020-11-20 L. A. Dao , L. Ferrarini , D. La Carrubba

In this paper, we study the price responsiveness of electricity consumption from empirical commercial and industrial load data obtained from Texas. Employing a dynamical system perspective, we show that price responsive demand can be…

Applications · Statistics 2016-12-16 Jaeyong An , P. R. Kumar , Le Xie

Recent advancements in the fields of artificial intelligence and machine learning methods resulted in a significant increase of their popularity in the literature, including electricity price forecasting. Said methods cover a very broad…

Applications · Statistics 2020-08-19 Grzegorz Marcjasz , Jesus Lago , Rafał Weron

Generation and load balance is required in the economic scheduling of generating units in the smart grid. Variable energy generations, particularly from wind and solar energy resources, are witnessing a rapid boost, and, it is anticipated…

Machine Learning · Computer Science 2017-04-07 Mohamed Abuella , Badrul Chowdhury

The U.S. electrical grid has undergone substantial transformation with increased penetration of wind and solar -- forms of variable renewable energy (VRE). Despite the benefits of VRE for decarbonization, it has garnered some controversy…

The European Union Emission Trading Scheme (EU ETS) is a cornerstone of the EU's strategy to fight climate change and an important device for plummeting greenhouse gas (GHG) emissions in an economically efficient manner. The power industry…

Theoretical Economics · Economics 2021-05-03 Arega Getaneh Abate , Rossana Riccardi , Carlos Ruiz