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The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

The global increase in energy consumption and demand has forced many countries to transition into including more diverse energy sources in their electricity market. To efficiently utilize the available fuel resources, all energy sources…

Optimization and Control · Mathematics 2024-03-06 Razan A. H. Al-Lawati , Tasnim Ibn Faiz , Md. Noor-E-Alam

The interdependence of electricity and natural gas markets is becoming a major topic in energy research. Integrated energy models are used to assist decision-making for businesses and policymakers addressing challenges of energy transition…

General Finance · Quantitative Finance 2020-09-11 Iegor Riepin , Thomas Möbius , Felix Müsgens

The availability of historical data related to electricity day-ahead prices and to the underlying price formation process is limited. In addition, the electricity market in Europe is facing a rapid transformation, which limits the…

Applications · Statistics 2023-06-27 Raffaele Sgarlato

The interdependency of power systems and natural gas systems is being reinforced by the emerging power-to-gas facilities (PtGs), and the existing gas-fired generators. To jointly improve the efficiency and security under diverse…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Xiaodong Zheng , Yan Xu , Zhengmao Li , Haoyong Chen

Although the specific structures of electricity markets are diverse around the world, they were all conceived on the premise of predictable, controllable generation with nonnegligible marginal costs. Recent changes, specifically, the…

Computer Science and Game Theory · Computer Science 2020-12-10 Orcun Karaca

We propose stochastic control policies to cope with uncertain and variable gas extractions in natural gas networks. Given historical gas extraction data, these policies are optimized to produce the real-time control inputs for nodal gas…

Optimization and Control · Mathematics 2021-08-24 Vladimir Dvorkin , Anubhav Ratha , Pierre Pinson , Jalal Kazempour

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

Optimization and Control · Mathematics 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

Electricity markets differ in their ability to meet power imbalances in short notice in a controlled fashion. Relatively flexible markets have the ability to ramp up (or down) power flows across interties without compromising their ability…

Computer Science and Game Theory · Computer Science 2022-03-01 Hossein Khazaei , Ceyhun Eksin , Roohallah Khatami , Alfredo Garcia

The determination of acceptability prices of contingent claims requires the choice of a stochastic model for the underlying asset price dynamics. Given this model, optimal bid and ask prices can be found by stochastic optimization. However,…

Pricing of Securities · Quantitative Finance 2019-01-31 Martin Glanzer , Georg Ch. Pflug , Alois Pichler

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

We present modeling and analysis of day-ahead spatio-temporal energy markets in which each competitive aggregator aims at making the highest profit by managing a complex mixture of different energy resources, such as conventional…

Optimization and Control · Mathematics 2020-09-23 Takayuki Ishizaki , Masakazu Koike , Nobuyuki Yamaguchi , Yuzuru Ueda , Jun-ichi Imura

In energy systems with high shares of weather-driven renewable power sources, gas-fired power plants can serve as a back-up technology to ensure security of supply and provide short-term flexibility. Therefore, a tighter coordination…

Optimization and Control · Mathematics 2018-05-17 Christos Ordoudis , Pierre Pinson , Juan M. Morales

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

The increasing vulnerability of power systems has heightened the need for operating reserves to manage contingencies such as generator outages, line failures, and sudden load variations. Unlike energy costs, driven by consumer demand,…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Luiza Ribeiro , Alexandre Street , Jose Manuel Arroyo , Rodrigo Moreno

The recent research report of U.S. Department of Energy prompts us to re-examine the pricing theories applied in electricity market design. The theory of spot pricing is the basis of electricity market design in many countries, but it has…

Econometrics · Economics 2017-10-24 Haoyong Chen , Lijia Han

Two-stage electricity market clearing is designed to maintain market efficiency under ideal conditions, e.g., perfect forecast and nonstrategic generation. This work demonstrates that the individual strategic behavior of inelastic load…

Optimization and Control · Mathematics 2019-09-17 Pengcheng You , Dennice F. Gayme , Enrique Mallada

Aggregators of consumer energy resources (CERs) like rooftop solar and battery energy storage (BES) face challenges due to their inherent uncertainties. A sensible approach is to use stochastic optimization to handle such uncertainties,…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Chatum Sankalpa , Ghulam Mohy-ud-din , Erik Weyer , Maria Vrakopoulou

We test whether the futures prices of some commodity and energy markets are determined by stochastic rules or exhibit nonlinear deterministic endogenous fluctuations. As for the methodologies, we use the maximal Lyapunov exponents (MLE) and…

Statistical Finance · Quantitative Finance 2017-03-30 Loretta Mastroeni , Pierluigi Vellucci
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